US20010028462A1 - Interferometer system and method of manufacturing projection optical system using same - Google Patents
Interferometer system and method of manufacturing projection optical system using same Download PDFInfo
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- US20010028462A1 US20010028462A1 US09/870,734 US87073401A US2001028462A1 US 20010028462 A1 US20010028462 A1 US 20010028462A1 US 87073401 A US87073401 A US 87073401A US 2001028462 A1 US2001028462 A1 US 2001028462A1
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01M—TESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
- G01M11/00—Testing of optical apparatus; Testing structures by optical methods not otherwise provided for
- G01M11/02—Testing optical properties
- G01M11/0242—Testing optical properties by measuring geometrical properties or aberrations
- G01M11/0271—Testing optical properties by measuring geometrical properties or aberrations by using interferometric methods
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B11/00—Measuring arrangements characterised by the use of optical techniques
- G01B11/24—Measuring arrangements characterised by the use of optical techniques for measuring contours or curvatures
- G01B11/2441—Measuring arrangements characterised by the use of optical techniques for measuring contours or curvatures using interferometry
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B9/00—Measuring instruments characterised by the use of optical techniques
- G01B9/02—Interferometers
- G01B9/02034—Interferometers characterised by particularly shaped beams or wavefronts
- G01B9/02038—Shaping the wavefront, e.g. generating a spherical wavefront
- G01B9/02039—Shaping the wavefront, e.g. generating a spherical wavefront by matching the wavefront with a particular object surface shape
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B9/00—Measuring instruments characterised by the use of optical techniques
- G01B9/02—Interferometers
- G01B9/02055—Reduction or prevention of errors; Testing; Calibration
- G01B9/02056—Passive reduction of errors
- G01B9/02057—Passive reduction of errors by using common path configuration, i.e. reference and object path almost entirely overlapping
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B9/00—Measuring instruments characterised by the use of optical techniques
- G01B9/02—Interferometers
- G01B9/02055—Reduction or prevention of errors; Testing; Calibration
- G01B9/0207—Error reduction by correction of the measurement signal based on independently determined error sources, e.g. using a reference interferometer
- G01B9/02072—Error reduction by correction of the measurement signal based on independently determined error sources, e.g. using a reference interferometer by calibration or testing of interferometer
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01M—TESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
- G01M11/00—Testing of optical apparatus; Testing structures by optical methods not otherwise provided for
- G01M11/02—Testing optical properties
- G01M11/0207—Details of measuring devices
- G01M11/0214—Details of devices holding the object to be tested
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01M—TESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
- G01M11/00—Testing of optical apparatus; Testing structures by optical methods not otherwise provided for
- G01M11/02—Testing optical properties
- G01M11/0242—Testing optical properties by measuring geometrical properties or aberrations
- G01M11/025—Testing optical properties by measuring geometrical properties or aberrations by determining the shape of the object to be tested
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01M—TESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
- G01M11/00—Testing of optical apparatus; Testing structures by optical methods not otherwise provided for
- G01M11/02—Testing optical properties
- G01M11/0242—Testing optical properties by measuring geometrical properties or aberrations
- G01M11/0257—Testing optical properties by measuring geometrical properties or aberrations by analyzing the image formed by the object to be tested
- G01M11/0264—Testing optical properties by measuring geometrical properties or aberrations by analyzing the image formed by the object to be tested by using targets or reference patterns
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- G—PHYSICS
- G03—PHOTOGRAPHY; CINEMATOGRAPHY; ANALOGOUS TECHNIQUES USING WAVES OTHER THAN OPTICAL WAVES; ELECTROGRAPHY; HOLOGRAPHY
- G03F—PHOTOMECHANICAL PRODUCTION OF TEXTURED OR PATTERNED SURFACES, e.g. FOR PRINTING, FOR PROCESSING OF SEMICONDUCTOR DEVICES; MATERIALS THEREFOR; ORIGINALS THEREFOR; APPARATUS SPECIALLY ADAPTED THEREFOR
- G03F7/00—Photomechanical, e.g. photolithographic, production of textured or patterned surfaces, e.g. printing surfaces; Materials therefor, e.g. comprising photoresists; Apparatus specially adapted therefor
- G03F7/70—Microphotolithographic exposure; Apparatus therefor
- G03F7/70483—Information management; Active and passive control; Testing; Wafer monitoring, e.g. pattern monitoring
- G03F7/70591—Testing optical components
- G03F7/706—Aberration measurement
Definitions
- the present invention relates to an interferometer system for measuring the shape of an aspheric surface of an optical element in an optical system and for measuring the wavefront aberration of such an optical system, particularly in connection with manufacture of a projection optical system suited to for use in an exposure apparatus employing soft-X-ray (EUV) exposure light.
- EUV soft-X-ray
- Lenses i.e., dioptric optical elements
- catoptric projection optical systems i.e., systems comprising only reflective surfaces
- a reflectance of only about 70% can be expected from reflective surfaces in the soft X-ray wavelength region, only three to six reflective surfaces can be used in a practical projection optical system.
- null interferometric measurement using a null (compensating) element has hitherto been conducted for the measurement of aspheric surface shapes.
- Null lenses that use spherical lenses comprising spherical surfaces, and zone plates wherein annular diffraction gratings are formed on plane plates have principally been used as null elements.
- FIG. 1 shows a conventional interferometer system 122 arrangement for null measurement using a null (compensating) element 132 .
- the interferometric measurement described herein is a slightly modified version of a Fizeau interferometric measurement. Namely, a plane wave 126 emitted from an interferometric light source 124 is partially reflected by a high-precision Fizeau surface 130 formed on a Fizeau plane plate 128 .
- the component of plane wave 126 transmitted through Fizeau surface 130 is converted into measurement wavefront (null wavefront) 134 by null element 132 and assumes a desired aspheric design shape at a measurement reference position RP, following which it arrives at a test surface 138 of a test object 136 previously set at the reference position.
- the light arriving at test surface 138 is reflected therefrom and interferes with the light component reflected from Fizeau surface 130 , and forms monochromatic interference fringes inside interferometer system 122 .
- These interference fringes are detected by a detector such as a CCD (not shown).
- a signal outputted by the detector is analyzed by an information processing system (not shown) that processes the interferometer information contained in the output signal. Similar measurements can be performed using a Twyman-Green interferometer.
- the null element 132 To accurately ascertain the shape of test surface 138 , the null element 132 must be manufactured with advanced technology, since there must be no error in the null wavefront. Specifically, this means that the optical characteristics of the null element 132 must be measured beforehand with high precision. Based on these measurements, the shape of null wavefront 134 is then determined by ray tracing. This results in the manufacture of null element 132 taking a long time. Consequently, the measurement of the desired aspheric surface takes a long time.
- FIG. 2 shows another example of a conventional Fizeau interferometer 222 .
- laser light from laser 224 passes through a lens system 226 to become a collimated light beam of a prescribed diameter and is incident Fizeau plate 228 .
- Rear side 230 of Fizeau plate 228 is accurately ground to a highly flat surface, and the component of the incident light reflected by rear side 230 of Fizeau plate 228 becomes a reference beam having a plane wavefront.
- the component of incident light transmitted through a Fizeau plate 228 passes through null element 232 , where the plane wavefront where the plane wavefront is converted to a desired aspheric wavefront.
- the aspheric wavefront is then incident in perpendicular fashion an aspheric test surface 238 .
- the light reflected by test surface 238 returns along the original optical path, is superimposed on the reference light beam, reflects off a beam splitting element 256 in lens system 226 , and forms interference fringes on a CCD detector 260 .
- a computer By processing these interference fringes by a computer (not shown), the shape error can be measured.
- a problem with interferometer 222 is deterioration, in absolute accuracy, due to null element 232 .
- a null element comprising a number of high-precision lenses (e.g., lenses 234 and 236 ) a CGH (computer-generated hologram), or the like is ordinarily used as null element 232 , and manufacturing errors on the order of 10 nm RMS typically result.
- interferometer 222 tends to be affected by vibration and air fluctuations due to the separation of reference surface 230 (i.e., rear side of Fizeau plate 228 ) and test surface 238 . Repeatability is also poor, at 0.3 nm RMS. Furthermore, in measuring an aspheric surface, alignment of null element 232 and test surface 238 is critical. Measurement repeatability deteriorates by several nanometers if alignment accuracy is poor.
- the present invention relates to an interferometer system for measuring the shape of an aspheric surface of an optical element in an optical system and for measuring the wavefront aberration of such an optical system, particularly in connection with manufacture of a projection optical system suited to for use in an exposure apparatus employing soft-X-ray (EUV) exposure light.
- EUV soft-X-ray
- the goal of the present invention is to overcome the above-described deficiencies in the prior art so as to permit fast and accurate calibration of a null wavefront corresponding to an aspheric surface accurate to very high dimensional tolerances.
- Another goal of the present invention is to manufacture a projection optical system having excellent performance.
- Additional goals of the present invention are to provide an aspheric-surface-shape measuring interferometer having good reproducibility, to measure wavefront aberration with high precision and to permit calibration of an aspheric-surface-shape measuring interferometer so as to improve absolute accuracy in precision surface measurements.
- a first aspect of the invention is an interferometer capable of measuring a surface shape of a target surface as compared to a reflector standard.
- the interferometer comprises a light source capable of generating a light beam, and a reference surface arranged downstream of the light source for reflecting the light beam so as to form a reference wavefront.
- the interferometer further includes a null element arranged downstream of the reference surface for forming a desired null wavefront from the light beam.
- the null element is arranged such that the null wavefront is incident the target surface so as to form a measurement wavefront and is also incident the reflector standard when the latter is alternately arranged in place of the target surface so as to form a reflector standard wavefront.
- the interferometer further includes a detector arranged so as to detect interference fringes caused by interference between the measurement wavefront and the reference wavefront. The detection of the interference fringes takes into account the reflector standard wavefront.
- a second aspect of the invention is a method of manufacturing a projection optical system capable of projecting a pattern from a reticle onto a photosensitive substrate.
- the method comprises the steps of first measuring a shape of a test surface of an optical element that is a component of the projection optical system by causing interference between light from the test surface and light from an aspheric reference surface while the test surface and the aspheric reference surface are held integrally and in close proximity to one another.
- the next step is assembling the optical element in the projection optical system and measuring the wavefront aberration of the projection optical system.
- the next step is then determining an amount by which the shape of the test surface should be corrected based on the measured wavefront aberration obtained in the step b.
- the final step is correcting the shape of the test surface based on the amount by which the shape of the test surface should be corrected as determined above.
- a third aspect of the invention is an interferometer for measuring wavefront aberration of an optical system having an object plane and an image plane.
- the interferometer comprises a light source for supplying light of a predetermined wavelength, a first pinhole member capable of forming a first spherical wavefront from the light arranged at one of the object plane and the image plane.
- the first pinhole member has a plurality of first pinholes arrayed in two dimensions along a surface perpendicular to an optical axis of the optical system.
- the interferometer further includes a second pinhole member arranged at the opposite one of the object plane and the image plane of the first pinhole member.
- the second pinhole member has a plurality of second pinholes arrayed at a position corresponding to the imaging position where the plurality of first pinholes is imaged by the optical system.
- the interferometer also includes a diffraction grating arranged in the optical path between the first and second pinhole members, and a diffracted light plate member that selectively transmits diffracted light of one or more higher predetermined diffraction orders associated with the diffraction grating.
- the interferometer also includes a detector arranged to detect interference fringes arising from the interference between a second spherical wavefront generated by a zeroeth diffraction order passing through the second pinhole member and the one or more higher predetermined diffraction orders passing through the diffracted light plate member.
- a fourth aspect of the invention is an interferometer calibration method for measuring a surface shape of an optical element of an optical system.
- the method comprises the steps of first, interferometrically measuring the surface shape of the optical element to obtain a surface shape measurement value, then assembling the optical system by including the optical element in the optical system, then measuring a wavefront aberration of the optical system, then separating the wavefront aberration into a component corresponding to positional error of the surface shape and a component corresponding to surface shape error, then correcting the positional error component and calculating the surface shape error component, and then finally correcting the surface shape measurement value using the surface shape error component as previously calculated
- FIG. 1 is a schematic optical diagram of a first conventional surface-shape-measuring interferometer according to the prior art
- FIG. 2 is a schematic optical diagram of a second conventional surface-shape-measuring interferometer according to the prior art
- FIGS. 3 a and 3 b are schematic optical diagrams of first and second surface-shape-measuring interferometers of a first embodiment according to a first aspect of the present invention
- FIGS. 4 a and 4 b are schematic optical diagrams of third and fourth surface-shape-measuring interferometers of a first embodiment according to a first aspect of the present invention
- FIGS. 5 a and 5 b are schematic optical diagrams of fifth and sixth surface-shape-measuring interferometers of a second embodiment according to a first aspect of the present invention.
- FIG. 6 is a schematic optical diagram of a seventh surface-shape-measuring interferometer of a third embodiment according to a first aspect of the present invention.
- FIG. 7 is a schematic optical diagram of an eighth surface-shape-measuring interferometer of a fourth embodiment according to a second aspect of the present invention.
- FIGS. 8 a and 8 b are cross-sectional diagrams of the main components of the holder assembly of the surface-shape-measuring interferometer of FIG. 7;
- FIG. 9 is a schematic optical diagram of a ninth surface-shape-measuring interferometer that is a variation of the surface-shape-measuring interferometer of FIG. 7;
- FIG. 10 a is a schematic optical diagram of a first wavefront-aberration-measuring interferometer for explaining the principle of a fifth embodiment according to a third aspect of the present invention
- FIG. 10 b is a cross-sectional diagram of a second semitransparent film with a pinhole plate in the interferometer of FIG. 10 a;
- FIG. 11 a is a schematic optical diagram of a second wavefront-aberration-measuring interferometer that is a variation of the wavefront-aberration-measuring interferometer of FIG. 10 a;
- FIG. 11 b is a plan view of the second dual hole plate in the interferometer of FIG. 11 a;
- FIG. 11 c is a cross-sectional diagram explaining the operation of the second dual hole plate in the interferometer of FIGS. 11 a and 11 b;
- FIG. 12 is a schematic optical diagram of a third wavefront-aberration-measuring interferometer of a fifth embodiment according to a third aspect of the present invention.
- FIG. 13 a is a plan view of a first embodiment of the first pinhole array plate of the interferometer of FIG. 12;
- FIG. 13 b is a plan view of a first embodiment of the second dual hole array plate of the interferometer of FIG. 12;
- FIG. 14 a is a plan view of a second embodiment of the first pinhole array plate, being a variation on the first embodiment of the first pinhole array plate of FIG. 13 a;
- FIG. 14 b is a plan view of a second embodiment of the second dual hole array plate, being a variation on the first embodiment of the second dual hole array plate of FIG. 13 b;
- FIG. 15 a is a schematic optical diagram of fourth wavefront-aberration-measuring apparatus of a sixth embodiment according to the present invention.
- FIG. 15 b is a plan view of second Hartmann plate of the apparatus shown in FIG. 15 a;
- FIG. 16 a is a schematic optical diagram of a fifth wavefront-aberration-measuring interferometer of a seventh embodiment according to a third aspect of the present invention.
- FIG. 16 b is a plan view of the first pinhole cluster plate of the in interferometer of FIG. 16 a;
- FIG. 16 c is a plan view of the second dual hole cluster plate of the in interferometer of FIG. 16 a;
- FIG. 17 a is a plan view of the first pinhole row plate of an eighth embodiment according to a third aspect of the present invention.
- FIG. 17 b is a plan view of the second dual hole row plate in an eighth embodiment according to a third aspect of the present invention.
- FIG. 18 a is a plan view of the first slit plate of a ninth embodiment according to a third aspect of the present invention.
- FIG. 18 b is a plan view of the second dual slit plate of a ninth embodiment according to a third aspect of the present invention.
- FIG. 19 is a schematic optical diagram of a sixth wavefront-aberration-measuring interferometer of a tenth embodiment according to a third aspect of the present invention.
- FIG. 20 a is a schematic optical diagram of seventh wavefront-aberration-measuring interferometer of an eleventh embodiment according to a third aspect of the present invention.
- FIG. 20 b is a cross-sectional diagram of the second pinhole mirror plate in the interferometer of FIG. 20 a;
- FIG. 21 a is a plan view of the first pinhole array plate used in a variation of the interferometer of FIG. 20 a;
- FIG. 21 b is a plan view of second pinhole mirror array plate 63 in a variation on interferometer 22 Q shown in FIG. 20 a;
- FIG. 22 is a schematic optical diagram of an eighth wavefront-aberration-measuring interferometer that is a variation of the interferometer of FIG. 20 a;
- FIG. 23 is a schematic optical diagram of a wavefront-aberration-measuring apparatus serving as a comparative example for illustrating the advantage of interferometers of FIGS. 20 a and 22 ;
- FIG. 24 is a flowchart indicating an exemplary method for calibrating the aspheric-surface-shape measuring interferometer of FIG. 7 using the wavefront-aberration-measuring interferometer FIG. 10 a;
- FIG. 25 is a cross-sectional showing a small tool grinding apparatus used in the interferometer calibration method indicated in the flowchart of FIG. 24.
- the present invention relates to an interferometer system for measuring the shape of an aspheric surface of an optical element in an optical system and for measuring the wavefront aberration of such an optical system, particularly in connection with manufacture of a projection optical system suited to for use in an exposure apparatus employing soft-X-ray (EUV) exposure light.
- EUV soft-X-ray
- FIGS. 3 a and 3 b the principle of operation of an interferometer system according to a first aspect of the present invention is now discussed.
- first and second interferometer systems 22 A and 22 B, shown in FIGS. 3 a and 3 b , respectively, according to the first aspect of the present invention have a reflective standard 40 with a separately and accurately calibrated spherical reflective surface 42 arranged in place of test surface (aspheric surface) 138 of test object 136 (see FIG. 1).
- Interferometer 22 A shown in FIG. 3 a further differs from prior art interferometer 122 of FIG. 1 in that a wavefront 45 incident null element 32 is a spherical wavefront from a Fizeau lens 44 , and in that a Fizeau surface 46 is used as the reference surface.
- Fizeau lens 42 need not be limited to a convergent system as shown, but may also be a divergent system.
- Interferometer 22 B shown in FIG. 3 b is an example wherein a wavefront incident null element 32 is a plane wave 26 , as in the case of prior art interferometer 122 shown in FIG. 1.
- a flat Fizeau surface 30 of a Fizeau lens 28 is used as the reference surface.
- Interferometer 22 B differs from prior art interferometer 122 of FIG. 1 in that the light beam converted by null element 32 is a convergent light beam, and in that it permits measurement of concave surfaces as well as convex surfaces.
- a method of calibrating null wavefront in this case is to use a concave reflective surface to calibrate the wavefront as it diverges after having first converged, and then to reverse calculate the shape of the null wavefront 34 at the position where it is actually used (heavy line in drawing) based on the calibrated wavefront shape.
- High-precision calibration is possible if a pinhole interferometer (i.e., a point diffraction interferometer, hereinafter referred to as a “PDI,” discussed further below) is used to calibrate the concave reflective surface.
- PDI point diffraction interferometer
- the entire surface can be measured all at once.
- data for the entire surface can be obtained in the same manner by applying the so-called wavefront synthesis technique. This technique involves axially displacing reflective standard 40 relative to null wavefront 34 , conducting interferometric measurements on a plurality of annular wavefront data, and joining the redundant regions of each of the data so they overlap without excess.
- FIGS. 4 a and 4 b third and fourth surface-shape-measuring interferometers 22 C and 22 D of a first embodiment according to a first aspect of the present invention are now described, wherein a PDI 52 employing an ideal spherical wavefront from a point light source 54 is used to measure null element 32 in Fizeau (aspheric-surface-measuring) interferometer (i.e., first interferometer system) 22 A shown in FIG. 3 a.
- Fizeau aspheric-surface-measuring interferometer 22 A shown in FIG. 3 a.
- Interferometer 22 C shown in FIG. 4 a employs a divergent null element 32
- interferometer 22 D shown in FIG. 4 b employs a convergent null element 32 . The latter is adopted when calibrating the wavefront 34 for measurement of a convex surface.
- spherical wavefront 45 incident null element 32 in interferometers 22 C and 22 D of FIGS. 4 a and 4 b is an ideal spherical wavefront from a point light source 54 , it is possible to simultaneously ascertain the shape of null wavefront 34 as well as the transmission characteristics of null element 32 .
- fifth and sixth surface-shape-measuring interferometers 22 E and 22 F of a second embodiment according to a first aspect of the present invention are used to measure null element 32 generating a convergent null wavefront 34 , as the case at interferometer 22 B shown in FIG. 3 b .
- Interferometer 22 E of FIG. 5 a uses a spherical wavefront 45 as the wavefront from Fizeau surface 46 incident null element 32 .
- Interferometer 22 F in FIG. 5 b uses a plane wave 26 therefor. It does not matter whether spherical wavefront 45 is a convergent light beam or a divergent light beam.
- use of PDI 52 replaces calibration using a reflective surface. PDI 52 corresponds to a point light source of the present invention.
- pinhole 54 of PDI 52 is positioned so as to approximately coincide with the point of convergence of null wavefront 34 .
- null wavefront 34 which is reflected from a reflective surface 56 surrounding pinhole 54 , and the ideal spherical wavefront produced by the light leaving pinhole 54 will form interference fringes.
- a seventh surface-shape-measuring interferometer 22 G is a third embodiment according to a first aspect of the present invention and is similar to interferometer 22 E of FIG. 5 a , except that a PDIs 52 A is used in place of a Fizeau lens 44 that there had generated a spherical wavefront.
- a second PDI 52 B is also used for measurement light.
- interferometer 22 E and 22 F shown in FIGS. 5 a and 5 b respectively, there is a possibility that during operation of Fizeau interferometer 22 E or 22 F, the measurement light signal from PDI 52 will be lost in noise. In this case, it is preferable to in addition employ a polarizing element to reduce noise and improve the usable signal.
- the measurement arrangement in interferometer 22 G shown in FIG. 6 has the advantage that pinhole 54 B that forms the point light source of second PDI 52 B acts to reduce noise and improve the usable signal. This permits not only the shape of null wavefront 34 and the transmission characteristics of null element 32 to be accurately calibrated, but also permits the transmission characteristics of two PDIs 52 A and 52 B to be calibrated in both the forward and backward directions. Accordingly, accuracy can be further improved.
- interferometers 22 C- 22 G of the first through third embodiments according to a first aspect of the present invention make it possible to calibrate an aspheric null element 32 with high precision and in a short period of time.
- FIG. 7 shows an eighth surface-shape-measuring interferometer 22 H of a fourth embodiment according to a second aspect of the present invention.
- FIGS. 8 a and 8 b show the principal parts of interferometer 22 H of FIG. 7.
- Interferometer 22 H shown in FIG. 7 is capable of measuring the shape of an aspheric surface.
- laser light from a laser 24 is changed into a collimated beam of a prescribed diameter by way of a lens system 58 , and is then incident null element 32 .
- Null element 32 emits a wavefront having a shape substantially identical to that of test surface 38 , and the wavefront, having been converted to a prescribed aspheric surface shape, is incident in perpendicular fashion, an aspheric reference surface 70 and aspheric test surface 38 .
- aspheric reference surface 70 has substantially the same shape as aspheric test surface 38 (with, however, concavity and convexity reversed).
- the light incident aspheric reference surface 70 is amplitude-divided, with one wavefront proceeding to test surface 38 and the other wavefront returning along the original optical path to serve as reference wavefront.
- Aspheric reference surface 70 is arranged proximate test surface 38 , and aspheric reference surface 70 and test surface 38 have mutually complementary shapes. Aspheric reference surface 70 and test surface 38 are supported in integral fashion by a holder 72 .
- interferometer 22 H shown in FIG. 7 a main body, which includes the elements from laser 24 to null element 32 , and holder 72 , are supported by separate members so as to be spatially separated.
- Interferometer 22 H shown in FIG. 7 is basically a Fizeau interferometer, but it has several significant advantages over prior art Fizeau interferometer 222 of FIG. 2.
- the causes of the degradation in the measurement reproducibility in a conventional interferometer such as interferometer 122 of FIG. 1 or interferometer 222 of FIG. 2 include air fluctuations, vibration, sound, air pressure fluctuations, temperature fluctuations, detector noise, nonlinear errors and amplitude errors in the fringe scan, reproducibility of positioning the specimen, reproducibility of strain in the specimen due to the specimen holder, and aberrations in the optical system.
- test surface 38 and reference surface 70 close together and physically joining them in integral fashion, as in interferometer 22 H of the fourth embodiment of the present invention shown in FIG. 7.
- null element 32 functions to deliver a wavefront having an aspheric shape more or less identical to aspheric reference surface 70 to that aspheric reference surface 70 , but does not directly function to deliver an aspherically shaped wavefront to test surface 38 . Accordingly, although null element 32 is not an essential component in interferometer 22 H, it is preferable to use null element 32 so as to improve measurement accuracy.
- test object 36 in interferometer 22 H is ensured through use of a position sensor PS (electronic micrometer or the like), not shown, arranged around test object 36 , and the reproducibility of strain in the test specimen 36 from the specimen holder 72 is improved by constructing the specimen holder 72 such that support is effected in three-point or multi-point fashion.
- a position sensor PS electronic micrometer or the like
- test surface 38 and reference surface 70 makes detection of alignment error easier and enables high-precision alignment.
- Detector noise can be sufficiently reduced by cooling detector 60 and by integrating the data.
- Nonlinear errors and amplitude errors during fringe scans can be eliminated by using a digital-readout piezoelectric element, and by processing the signal such that there are an increased number of packets during fringe scans.
- Adoption of the above-described constitution in interferometer 22 H permits attainment of repeatabilities of 0.05 nm RMS or better, and permits attainment of measurement reproducibilities, including alignment error, changes occurring over time, and so forth, of 0.1 nm RMS or better.
- a remaining problem with interferometer 22 H is absolute accuracy, which is dependant on the surface accuracy of reference aspheric surface 70 .
- This error is a systematic error associated with the interferometer 22 H. Below are described ways to correct this error (i.e., how calibration to offset this error.
- Interferometer 22 H while based on conventional Fizeau interferometer 222 shown in FIG. 2, is different from the conventional Fizeau interferometer in the following respects.
- Fizeau (reference) surface 70 of interferometer 22 H is an aspheric surface, its shape being such that convexity and concavity are reversed with respect to test surface 38 arranged in close proximity to Fizeau surface 70 .
- the constitution is such that reference element 76 is separated from the optical system, and such that the (Fizeau) reference optical element 76 is physically connected in integral fashion to test object 36 . This constitution significantly improves repeatability and measurement reproducibility as compared with that of above-described conventional interferometer 222 shown in FIG. 2.
- FIGS. 8 a and 8 b show two exemplary configurations for holder assembly 72 of interferometer 22 H of FIG. 7.
- FIG. 8 a shows an exemplary configuration wherein the spacing between test surface 38 and aspheric reference surface 70 is variable
- FIG. 8 b shows an exemplary configuration wherein the spacing is fixed.
- reference element 76 with aspheric reference surface 70 is held by reference element holder 72 H, which is disposed separately from the interferometer 22 H main body.
- a piezoelectric element 72 P is provided on reference element holder 72 H.
- a test object holder 72 T which holds test object 36 , is mounted to reference element holder 72 H by way of piezoelectric element 72 P.
- FIG. 8 b The exemplary configuration of holder assembly 72 shown in FIG. 8 b is similar to the exemplary configuration shown in FIG. 8 a in that reference element 76 with aspheric reference surface 70 is held by reference element holder 72 H.
- holder assembly 72 of FIG. 8 b has spacers 72 S directly vacuum-deposited at three locations on aspheric reference surface 70 .
- Spacers 72 S are 1 to 3 ⁇ m in thickness, this thickness being identical at all three locations.
- spacers 72 S are provided so that they trisect the circumference about an axis Ax in the vertical direction of the paper surface in FIG. 8 b .
- Test surface 38 is mounted on (three) spacers 72 S.
- the spacing between aspheric reference surface 70 and test surface 38 can thereby be kept constant and the strain in test surface 38 due to gravity can also be kept constant. If the exemplary configuration shown in FIG. 8 b is employed, it is possible to perform a fringe scan for analyzing interference fringes by varying laser wavelength, which has the additional benefit of eliminating the likelihood that the interferometer will be affected by mechanical vibration or the like.
- test object 36 be held in holder assembly 72 in the same manner as it is held in the optical system of which it is an optical component. It is also preferable that test object 36 be held in holder assembly 72 in the same orientation with respect to gravity as it is held in the optical system of which it is an optical component. This will make it possible to carry out meaningful measurements despite changes in surface shape which may occur due to the action of strain on test surface 38 when test object 36 is actually incorporated into an optical system.
- the spacing between aspheric reference surface 70 and test surface 38 is also preferable to make the spacing between aspheric reference surface 70 and test surface 38 less than 1 mm. If this spacing exceeds 1 mm, the impact of air fluctuations, vibration, sound, air pressure fluctuations, temperature fluctuations and optical system aberrations increases, leading to a deterioration in measurement accuracy. To further improve measurement accuracy, it is preferable to set the spacing between aspheric reference surface 70 and test surface 38 to be less than 100 ⁇ m.
- test surface 38 and aspheric reference surface 70 may be detected by the following techniques.
- a ninth surface-shape-measuring interferometer 221 is a variation on the above-described interferometer 22 H of the fourth embodiment shown in FIG. 7.
- interferometer 221 elements similar in function to elements as those in interferometer 22 H have been given the same reference numerals and so a description thereof is omitted.
- Interferometer 221 shown in FIG. 9 differs from interferometer 22 H shown in FIG. 7 in that a shearing interferometer 80 is provided behind test surface 38 (i.e., at the side opposite from aspheric reference surface 70 ).
- Shearing interferometer 80 guides light from a white light source 80 S to test surface 38 and aspheric reference surface 70 by way of a beam splitter 80 BS.
- Light reflected by test surface 38 and light reflected by aspheric reference surface 70 passes through beam splitter 80 BS, and is horizontally displaced by a birefringent member 80 BR.
- the latter may be, for example, a Wollaston prism.
- optical element 36 having test surface 38 is preferably made of an optically transmissive material such as, for example, quartz or Zerodur.
- FIGS. 10 a - 14 we describe a fifth embodiment according to a third aspect of the present invention.
- FIGS. 10 a and 11 a show first and second wavefront-aberration-measuring interferometers 22 J and 22 K.
- FIGS. 12 - 14 b show exemplary configurations of a third wavefront-aberration-measuring interferometer 22 L according to the fifth embodiment.
- Interferometers 22 J, 22 K, and 22 L are not “Fizeau” aspheric-surface-shape-measuring interferometers for measuring the surface shape of a test surface 38 of a test object 36 previously removed from an optical system of which it is an optical component, as were interferometers 122 , 222 , and 22 A- 22 I shown in FIGS. 1 - 9 . Rather, they are wavefront-aberration-measuring interferometers for measuring the wavefront aberration produced by an optical system.
- interferometer is used to refer to either an aspheric-surface-shape-measuring interferometer, a wavefront-aberration-measuring interferometer, or to both, when the meaning is clear from context.
- the wavefront-aberration-measuring interferometers 22 J- 22 L according to the fifth embodiment of the present invention use light corresponding to an exposure wavelength in the soft X-ray region to measure wavefront aberration of a projection optical system.
- FIGS. 10 a - 11 c the principle of the wavefront-aberration-measuring interferometer of the fifth embodiment according to a second aspect of the present invention is now described.
- a synchrotron orbital radiation (hereinafter “SOR”) undulator passes through a spectroscope (not shown) to form quasimonochromatic light 84 having a wavelength around 13 nm.
- Light 84 is condensed by a condenser mirror 64 and is incident a first pinhole plate 86 .
- First pinhole plate 86 has an aperture (pinhole) 86 o of a size smaller than the size of the Airy disk as determined from the numerical aperture on the incident side (first pinhole plate 86 side) of an optical system 37 under test.
- the size of the Airy disk is given by 0.6 ⁇ /NA, where NA is the incident-side numerical aperture of optical system 37 , and ⁇ is the wavelength of quasimonochromatic light 84 .
- first pinhole plate 86 Light having a wavefront which can be regarded as that of an ideal spherical wavefront will exit first pinhole plate 86 .
- Light from first pinhole plate 86 is then incident optical system 37 , and then arrives at a pinhole plate 88 having an aperture 88 o arranged at an image plane IP of optical system 37 .
- First pinhole plate 86 and second pinhole plate 88 are arranged at locations made mutually conjugate by optical system 37 , i.e., at locations corresponding to what would be an object point and an image point if optical system 37 were actually used to image an object.
- pinhole plate 88 comprises a semitransparent film 88 F provided on a substrate 88 S which is optically transmissive at the wavelength of emitted quasimonochromatic light 84 , and aperture 88 o wherein semitransparent film 88 F is not provided. Accordingly, a portion of the wavefront incident pinhole plate 88 is transmitted without alteration of the wavefront, and another portion undergoes diffraction at aperture 88 o. Accordingly, if the size of aperture 88 o is sufficiently small, the light diffracted at aperture 88 o can be regarded as an ideal spherical wavefront.
- detector 60 is arranged on the exit side of pinhole plate 88 (i.e., at the side thereof opposite from optical system 37 ). Interference fringes are formed on detector 60 due to interference between the ideal spherical wavefront from aperture 88 o and the transmitted wavefront from semitransparent film 88 F.
- the transmitted wavefront from semitransparent film 88 F corresponds in shape to the wavefront aberration of optical system 37 .
- the interference fringes on detector 60 assume a shape corresponding to the deviation of this transmitted wavefront from an ideal spherical wavefront (ie., the wavefront from aperture 88 o ). Accordingly, the wavefront aberration of optical system 37 can be determined by analyzing, in a computer CU electrically connected to detector 60 , the interference fringes detected by detector 60 .
- FIGS. 11 a is a fourth wavefront-aberration-measuring interferometer 22 K employing an SOR undulator light source and which is a variation of wavefront-aberration-measuring interferometer 22 J of FIG. 10 a.
- Interferometer 22 K makes use of a measurement technique of higher precision than that of interferometer 22 J.
- Interferometer 22 K in FIG. 11 a differs from interferometer 22 J in FIG. 10 a in that a second dual hole plate 90 is arranged in place of second pinhole plate 88 , and a diffraction grating 62 is inserted between first pinhole plate 86 and second dual hole plate 90 .
- FIG. 11 b shows the constitution of second dual hole plate 90
- FIG. 11 c is a diagram for explaining the functions of diffraction grating 62 and second dual hole plate 90
- second dual hole plate 90 has microscopic aperture 90 o that functions as a pinhole, and an aperture 92 that is larger than pinhole 90 o.
- Pinhole 90 o and aperture 92 are formed such that if second dual hole plate 90 is at the location of image plane IP of optical system 37 , pinhole 90 o is positioned in the optical path of the zeroeth-order peak P 0 of the diffraction pattern produced by diffraction grating 62 .
- aperture 92 is positioned in the optical path of a first-order peak P 1 of the diffraction pattern produced by diffraction grating 62 , as shown in FIG. 11 c.
- zeroeth-order peak P 0 is diffracted by pinhole 90 o, forming an ideal spherical wavefront 45 which then proceeds to detector 60 .
- a wavefront 45 ′ associated with first-order peak P 1 which contains information about the wavefront aberration of optical system 37 , passes through aperture 92 without alteration, and proceeds to detector 60 .
- zeroeth-order peak P 0 and first-order peak P 1 have wavefronts 45 and 45 ′, respectively, corresponding to the wavefront aberration of optical system 37 .
- Wavefront 45 of the light that passes through pinhole 90 o is converted to an ideal spherical wavefront.
- wavefront 45 ′ passing through aperture 92 does not undergo any significant amount of diffraction, and so has a wavefront shape corresponding to the wavefront aberration of optical system 37 . Accordingly, interference fringes due to interference between ideal spherical wavefront 45 from pinhole 90 o and measurement wavefront ' 45 from aperture 92 are formed on detector 60 .
- the profile of the interference fringes formed on detector 60 will correspond to the deviation of the measurement wave from an ideal spherical wavefront 45 , and wavefront 45 ′ containing aberration information of optical system 37 can be determined by analyzing these interference fringes, as in the case for interferometer 22 J of FIG. 10 a.
- a fringe scan for high-precision measurement can be performed by moving diffraction grating 62 by operatively connecting the latter to a diffraction grating driving unit DU.
- diffraction grating 62 is shown arranged in the optical path between optical system 37 and second dual hole plate 90 .
- diffraction grating 62 may be arranged in the optical path anywhere between first pinhole plate 86 and second dual hole plate 90 .
- interferometer 22 K employed two diffraction orders P 0 and P 1 of the diffraction pattern produced by diffraction grating 62
- the present invention is not limited to two such orders or of combinations of the zeroeth-order and first-order.
- FIG. 12 a fifth wavefront-aberration-measuring interferometer 22 L, which represents a fifth embodiment according to the second aspect of the present invention for measuring the wavefront aberration of an optical system 37 based on the principle explained above with reference to FIGS. 10 a - 11 c, is now described.
- elements similar in function to elements appearing in FIGS. 10 a - 11 c are given the same reference numerals as in FIGS. 10 a and 10 b.
- the aberration of optical system 37 can only be measured at one point in image plane IP.
- To accurately ascertain the aberration of an optical system it is necessary to measure a plurality of image points.
- To measure a plurality of image points in interferometers 22 J and 22 K one conceivable method of performing measurements would involve moving first pinhole plate 86 and second pinhole plate 88 . or second dual hole plate 90 , to a number of prescribed positions.
- a first pinhole array plate 93 wherein pinholes are arrayed in two dimensions, is used in place of first pinhole plate 86 of interferometer 22 K shown in FIG. 11 a.
- interferometer 22 L shown in FIG. 12 is constituted such that light is incident the image plane IP side, not the object plane OP side, of optical system 37 , the reason for which is discussed below.
- first pinhole array plate 93 comprises an array or matrix of pinhole apertures (pinholes) 93 o of a size well smaller than the size of the Airy disk 0.6 ⁇ /NA, as determined from the numerical aperture (imagewise numerical aperture) NA at the incident side of optical system 37 .
- the positions of pinholes 93 o correspond to the locations of image points of optical system 37 for which measurement of wavefront aberration is desired.
- condenser mirror 64 is provided on a condenser mirror stage 66 , which is capable of movement parallel to image plane IP of optical system 37 .
- any desired pinhole 93 o on first pinhole array plate 93 can be selectively illuminated.
- An illuminated pinhole 93 o corresponds to a measurement point.
- the position at which quasimonochromatic light 84 is incident first pinhole array plate 93 will change with the movement of condenser mirror stage 66 .
- second dual hole array plate 94 is located in object plane OP, ie., arranged at the position at which optical system 37 images first pinhole array plate 93 .
- Second dual hole array plate 94 has a plurality of pinhole apertures (pinholes) 94 o provided in a matrix at positions at which the plurality of pinholes 93 o of first pinhole array plate 93 are imaged, and a plurality of apertures 95 provided in a matrix such that each is separated by a prescribed distance from each of the plurality of pinholes 94 o.
- each of the plurality of pinholes 94 o has the same function as pinholes 90 o in FIG. 11 b
- each of the plurality of apertures 95 has the same function as aperture 92 in FIG. 11 b.
- wavefront 45 which can be regarded as that of an ideal spherical wavefront, exits an illuminated pinhole 93 o, and is incident optical system 37 .
- This light passes through optical system 37 and is diffracted by diffraction grating 62 arranged between optical system 37 and object plane IP.
- Zeroeth-order peak P 0 (not shown in FIG. 12) of the diffraction pattern arrives at pinhole 94 o on second dual hole array plate 94 corresponding to the illuminated pinhole 93 o on first pinhole array plate 93 .
- First-order peak P 1 (not shown on FIG.
- detector 60 is attached to a detector stage 68 which is capable of movement parallel to object plane OP, is arranged at the exit side of second dual hole array plate 94 .
- Detector stage 68 is constituted so that it is linked with and moves with condenser mirror stage 66 , and such that only pinhole 94 o and apertures 95 , corresponding to illuminated pinhole 93 o, can be seen from detector 60 . Accordingly, the interference fringes due to the light only from pinhole 94 o and aperture 95 , corresponding to the illuminated pinhole 93 o, are formed on detector 60 . By analyzing these interference fringes, the wavefront aberration at image plane IP location corresponding to illuminated pinhole 93 o can be determined.
- first pinhole array plate 93 and second dual hole array plate 94 are physically grounded (i.e., secured so as to be stationary) with respect to optical system 37 .
- stable measurements can be performed without being affected by vibrations caused by the movement of stages 66 , 68 during actual measurements.
- First pinhole array plate 93 is mounted on a vertical stage 67 , which is capable of causing first pinhole array plate 93 to move in jogged (i.e., incremental) fashion in a direction parallel to the optical axis of optical system 37 .
- Vertical stage 67 is preferably secured to the same frame (not shown) that supports optical system 37 .
- second dual hole array plate 94 is mounted on an XY stage 69 , which is capable of causing second dual hole array plate 94 to move in jogged fashion within object plane OP of optical system 37 .
- XY stage 69 is attached to the abovementioned frame by way of a piezoelectric element.
- Adjustment of focus can be performed by using vertical stage 67 to move first pinhole array plate 93 . If there is distortion in optical system 37 , XY stage 69 can be used to align the position of pinhole 94 o. Furthermore, a length measuring interferometer or other such microdisplacement sensor (not shown) may be provided on XY stage 69 , permitting distortion in optical system 37 to be measured based on the output from the microdisplacement sensor. Furthermore, in the present embodiment, the positions of the plurality of pinholes 93 o of first pinhole array plate 93 and the plurality of pinholes 94 o of second dual hole array plate 94 are accurately measured beforehand using a coordinate measuring interferometer.
- interferometer 22 L is constituted such that pinhole 94 o, on the object plane OP side of optical system 37 is moved when optical system 37 has a reduction magnification of ⁇ 1/ ⁇ .
- the positioning accuracy of pinhole 94 o can be relaxed by the factor
- Interferometer 22 L is not constituted so that pinhole 93 o is moved and the amount of movement of pinhole 94 o is in a range wherein positioning accuracy can be maintained.
- stable measurement can be achieved, and the measurement accuracy of aberration, particularly distortion, at the imaged location can be made sufficient.
- the plurality of pinholes 93 o corresponding to positions for measurement of the wavefront aberration of optical system 37 are shown arranged in a matrix.
- the arrangement of pinholes 93 o is not limited to a typical square or rectangular matrix.
- a pinhole plate 93 ′ having pinholes 93 o may be arranged with a prescribed spacing at an object height (image height) of the same height as that of optical system 37 .
- the arrangement of the pinholes 94 o and apertures 95 in second dual hole array plate 94 ′ will have to be prealigned with pinholes 93 o of the first pinhole array plate 93 .
- diffraction grating 62 in interferometer 22 L of FIG. 12 is arranged in the optical path between optical system 37 and second dual hole array plate 94
- diffraction grating 62 may also be arranged in the optical path between first pinhole array plate 93 and second dual hole array plate 94 .
- the present invention is not limited to employment of two such peaks, or of employment of combinations of zeroeth-order and first-order peaks.
- FIGS. 15 a and 15 b a fourth wavefront-aberration-measuring apparatus 22 M of a sixth embodiment according to the present invention is now described.
- Apparatus 22 M uses a soft X-ray exposure wavelength to measure the wavefront aberration of an optical system 37 .
- elements similar in function to elements appearing in FIGS. 10 a - 14 b are given the same reference numerals as in FIGS. 10 a - 14 b.
- first pinhole plate 86 has an aperture of a size well smaller than the size of the Airy disk, 0.6 ⁇ /NA, where ⁇ is the wavelength of quasimonochromatic light 84 and NA is the numerical aperture on the incident side (first pinhole plate 86 side) of optical system 37 . Accordingly, the light that exits first pinhole plate 86 can be regarded as having the wavefront of an ideal spherical wavefront.
- a second Hartmann plate 96 having a plurality of apertures 96 o is arranged between the location of image plane IP of optical system 37 (a location made conjugate to first pinhole plate 86 by optical system 37 ) and optical system 37 .
- the light beam from first pinhole plate 86 upon exiting optical system 37 , forms, due to the action of the plurality of apertures 96 o of second Hartmann plate 96 , a plurality of ray groups RG that are the same in number as the number of apertures 96 o.
- Ray groups RG then proceed to image plane IP of optical system 37 .
- Ray groups RG converge at image plane IP of optical system under test 37 and arrive at detector 60 in a divergent state.
- ray groups RG that pass through the plurality of apertures 96 o on second Hartmann plate 96 respectively correspond to rays passing through each such pupil section.
- the lateral aberration of optical system 37 can be determined if the position at which each of ray groups RG arrives at detector 60 is detected.
- the wavefront aberration of optical system 37 can be determined from this lateral aberration.
- the plurality of apertures 96 o provided on second Hartmann plate 96 are arranged in a matrix as shown in FIG. I 5 b.
- the present invention is not limited to this arrangement.
- second Hartmann plate 96 is arranged between optical system 37 and image plane IP
- second Hartmann plate 96 may also be located between first pinhole plate 86 and image plane IP, it being possible, for example, for second Hartmann plate 96 to be arranged in the optical path between first pinhole plate 86 and optical system 37 .
- Interferometers 22 J, 22 K, 22 L, and 22 M of the fifth and sixth embodiments discussed above are wavefront-aberration-measuring interferometers which employ an SOR undulator (not shown) as a light source. Although accuracy can be made extremely high if an SOR undulator is used as a light source, the apparatus itself becomes excessively large, and it is generally extremely difficult to use in a factory. Thus, referring to FIG.
- a laser plasma X-ray (hereinafter “LPX”) source 21 is used in place of an SOR undulator as light source.
- LPX source 21 generates high-temperature plasma from a target 25 when high-intensity pulsed laser light is focused on target 25 . X-rays present within this plasma are then used.
- light emitted from LPX source 21 is divided into spectral components by a spectroscope (not shown), and light 27 of only a prescribed wavelength (e.g., 13 nm) is extracted. Light 27 is used as the light for wavefront-aberration-measuring interferometer 22 N.
- first pinhole plate 86 which had only a single aperture in interferometers 22 J, 22 K, 22 L, and 22 M of the fifth and sixth embodiments shown in FIGS. 10 a - 15 b and discussed above, is replaced with a first pinhole cluster plate 87 .
- the latter includes a plurality of pinhole clusters 87 c , each of which contains a plurality of pinholes 87 o clustered together in a microlocation, as shown in FIG. 16 b.
- a laser light source 23 supplies high-intensity pulsed laser light of a wavelength in the range from the infrared region to the visible region.
- Laser light source 23 may be, for example, a YAG laser excited by a semiconductor laser, an excimer laser, or the like. This laser light is condensed by a condenser optical system 29 onto target 25 .
- Target 25 receives the high-intensity laser light, rises in temperature and is excited to the plasma state, and emits X-rays 27 during transitions to a lower potential state.
- first pinhole cluster plate 87 has pinhole clusters 87 c , each of which comprises a plurality of pinholes 87 o clustered in a microlocation at a position for which the wavefront aberration of optical system 37 is to be measured. Note that in FIG. 16 b , pinhole cluster 87 c is shown as having only four pinholes 87 o. However, pinhole cluster 87 c preferably actually comprises one hundred or more pinholes 87 o.
- Pinholes 87 o are of a size much smaller than the size of the Airy disk 0.6 ⁇ /NA, where ⁇ is the wavelength of quasimonochromatic light 27 and NA is the numerical aperture on the incident side (first pinhole cluster plate 87 side) of optical system 37 .
- FIG. 16 b shows an exemplary schematic arrangement wherein a plurality of pinhole clusters 87 c are formed on first pinhole cluster plate 87 . In practice the positions at which pinhole clusters 87 c are formed to correspond to the positions of object points of optical system 37 for which measurement is desired.
- the entire region of one pinhole cluster 87 c on first pinhole cluster plate 87 is illuminated by quasimonochromatic light 27 .
- a plurality of ideal spherical wavefronts are generated from the numerous pinholes 87 o of the illuminated pinhole cluster 87 c .
- the plurality of ideal spherical wavefronts passes through optical system 37 , and then proceeds to and converges at image plane IP of optical system 37 , which position is made conjugate to first pinhole cluster plate 87 by optical system 37 .
- one of pinhole clusters 87 c on first pinhole cluster plate 87 is selectively illuminated, just as in the case of interferometers 22 J, 22 K, and 22 L of the fifth embodiment, discussed above.
- diffraction grating 62 is arranged between optical system 37 and the location of the image plane IP of optical system 37 .
- the light that exits optical system 37 and passes through diffraction grating 62 is diffracted by diffraction grating 62 and proceeds to a second dual hole cluster plate 89 .
- FIG. 16 c shows a preferred constitution of second dual hole cluster plate 89 .
- Second dual hole cluster plate 89 has pinhole cluster 89 c comprising a plurality of pinholes 89 o provided in one-to-one correspondence with the pinholes 87 o of which plurality of pinhole clusters 87 c on first pinhole cluster plate 87 are each comprised, and a plurality of apertures 89 a provided in one-to-one correspondence with the plurality of pinhole clusters 87 c .
- one aperture 89 a corresponds to one pinhole cluster 87 c comprising a plurality of pinholes 87 o.
- second dual hole cluster plate 89 is arranged at image plane IP, then plurality of pinhole clusters 89 c and plurality of apertures 89 a will be positionally related so that pinhole cluster 89 c is positioned in the optical path of the zeroeth-order peak P 0 of the diffraction pattern produced by diffraction grating 62 , and so that aperture 89 a is positioned in the optical path of first-order peak P 1 of the diffraction pattern produced by diffraction grating 62 .
- the ideal spherical wavefronts from pinhole cluster 87 c on first pinhole cluster plate 87 pass through optical system 37 and are then diffracted by diffraction grating 62 .
- zeroeth-order peak P 0 of the diffraction pattern arrives at the pinhole cluster 89 c on second dual hole cluster plate 89 , which corresponds to illuminated pinhole cluster 87 c .
- first-order peak P 1 of the diffraction pattern arrives at the aperture 89 a on second dual hole cluster plate 89 , which corresponds to illuminated pinhole cluster 87 c .
- Zeroeth-order peak P 0 of the diffraction pattern and first-order peak P 1 of the diffraction pattern have wavefronts corresponding in shape to the wavefront aberration of optical system 37 .
- Zeroeth-order peak P 0 of the diffraction pattern is diffracted by pinhole cluster 89 c as it passes therethrough and is converted to a second group of ideal spherical wavefronts.
- First-order peak P 1 of the diffraction pattern passes through aperture 89 a and exits therefrom without being diffracted. The light from the second ideal spherical wavefront group and the light from aperture 89 a mutually interfere.
- interference fringes due to interference between the ideal spherical wavefront group from pinhole cluster 89 c and the wavefront from aperture 89 a are formed on detector 60 arranged on the exit side of second dual hole cluster plate 89 (i.e., on the side of second dual hole cluster plate 89 opposite from optical system 37 ). Furthermore, the interference fringes on detector 60 form a shape corresponding to the deviation from an ideal spherical wavefront of the wavefront that passes through optical system 37 .
- the wavefront aberration of optical system 37 can be determined by analyzing these interference fringes via computer CU electrically connected to detector 60 , just as in the previously mentioned embodiments.
- detector 60 is constituted so as to be capable of movement parallel to image plane IP of optical system 37 so that it can be made to selectively receive the light from pinhole cluster 89 c and aperture 89 a corresponding to illuminated pinhole cluster 87 c , just as in interferometers 22 J, 22 K, and 22 L of the fifth embodiment, discussed above.
- wavefront aberration can be measured at a plurality of measurement points within object plane OP of optical system 37 .
- the seventh embodiment of the present invention as described above can provide a wavefront-aberration-measuring interferometer 22 N that can be used even in an ordinary factory.
- diffraction grating 62 in interferometer 22 N of the seventh embodiment shown in FIG. 16 a is arranged in the optical path between optical system 37 and second dual hole cluster plate 89
- diffraction grating 62 may also be arranged in the optical path between first pinhole cluster plate 87 and second dual hole cluster plate 89 . It being possible, for example, to arrange diffraction grating 62 in the optical path between first pinhole cluster plate 87 and optical system 37 .
- interferometer 22 N employs two peaks of the diffraction pattern produced by diffraction grating 62 (zeroeth-order peak P 0 and first-order peak P 1 ) the present invention is not limited to employment of two such peaks or of employment of combinations of the zeroeth-order and first-order peaks.
- Interferometer 22 N of the seventh embodiment shown in FIG. 16 a and described above employed pinhole clusters 87 c , 89 c provided with a plurality of pinholes 87 o, 89 o in prescribed microlocations.
- a pinhole row plate 97 may be used, wherein plate 97 includes a plurality of a pinhole rows 97 R wherein a plurality of pinholes 97 o are arranged unidimensionally in a prescribed direction, as shown in FIG. 17 a .
- first pinhole row plate 97 is provided with a plurality of rows 97 R of pinholes 97 o arrayed in matrix-like fashion so as to correspond to a plurality of measurement points in object plane OP or image plane IP of optical system 37 .
- FIG. 17 a shows a pinhole row 97 R having only four pinholes 97 o, an actual pinhole row 97 R comprises 100 or more pinholes 97 o.
- Pinholes 97 o are of a size smaller than the Airy disk 0.6 ⁇ /NA, where ⁇ is the wavelength of quasimonochromatic light 84 and NA is the numerical aperture on the incident side of optical system 37 (i.e., on the side thereof at which first pinhole row plate 97 , which here takes the place of first pinhole cluster plate 87 shown in FIG. 16 a , is present).
- Second dual hole row plate 99 has a plurality of pinhole rows 99 R, each of which comprises a plurality of pinholes 99 o provided in one-to-one correspondence with pinholes 97 o of which pinhole rows 97 R on first pinhole row plate 97 are each comprised.
- plate 99 has a plurality of apertures 99 a provided in one-to-one correspondence with plurality of pinhole rows 97 o.
- each of the plurality of pinhole rows 99 R comprises numerous pinholes 99 o arrayed unidimensionally in a prescribed direction.
- one aperture 99 a corresponds to one pinhole row 97 R comprising plurality of pinholes 97 o.
- a pinhole row 97 R, 99 R thus comprising a plurality of pinholes 97 o, 99 o arrayed unidimensionally in a prescribed direction makes it possible to reduce noise caused by the intermixing of light among the plurality of pinholes 92 o, 94 o, 93 o, 95 o, 96 o, 87 o, 89 o, and measurement accuracy can thereby be further improved.
- the pitch of the plurality of pinholes arrayed unidimensionally in a prescribed direction be 10 to 25 times the radius of the Airy disk 0.6 ⁇ /NA as determined by the numerical aperture on the first pinhole row plate 97 side of optical system 37 . It is further preferable to make it approximately 16 to 20 times this Airy disk radius.
- FIGS. 18 a and 18 b we describe a ninth embodiment according to a third aspect of the present invention. It is possible to use slit-shaped apertures 57 s, 59 s in place of pinhole clusters 87 c , 89 c in interferometer 22 N shown in FIG. 16 a and described above.
- FIGS. 18 a and 18 b show slit plates 57 , 59 provided with pluralities of slit-shaped apertures 57 s, 59 s.
- first slit plate 57 and second dual slit plate 59 in place of first pinhole cluster plate 87 and second dual hole cluster plate 89 , to reference is made back and forth between FIGS. 16 a - 16 c and FIGS. 18 a - 18 b.
- first slit plate 57 is provided with a plurality of slit-shaped apertures 57 s arrayed in matrix-like fashion so as to correspond to a plurality of measurement points in object plane OP image plane IP of optical system 37 .
- the slit shape mentioned in the present embodiment refers to a shape extending unidimensionally in a prescribed direction, the overall shape hereof not being limited to rectangular.
- the width in the latitudinal direction of slit-shaped aperture 57 s is of a size well smaller than the size of the Airy disk 0.6 ⁇ /NA, where ⁇ is the wavelength of quasimonochromatic light 27 and NA is the by numerical aperture on the incident side (on the side of first slit plate 57 , which here corresponds to first pinhole cluster plate 87 in FIG. 16 a ) of optical system 37 .
- the wavefront emitted therefrom Upon illumination of a slit-shaped aperture 57 s, the wavefront emitted therefrom will be such that its cross section in the short direction of the slit-shaped aperture 57 s is the same as that of an ideal spherical wavefront (i.e., this then can be said to represent a one-dimensional ideal spherical wavefront).
- Second dual slit plate 59 comprises a plurality of slit-shaped apertures 59 s provided in one-to-one correspondence with the plurality of slit-shaped apertures 57 s on first slit plate 57 , and a plurality of apertures 59 a provided in one-to-one correspondence with the plurality of slit-shaped apertures 57 s on first slit plate 57 .
- slit plates 57 , 59 shown in FIGS. 18 a and 18 b are incorporated in wavefront-aberration-measuring interferometer 22 N of the seventh embodiment shown in FIG. 16 a . Operation in this case is as follows.
- one of the plurality of slit-shaped apertures 57 s first slit plate 57 corresponding to a desired measurement point is illuminated with light 27 from LPX source 21 .
- the wave emitted from the illuminated slit-shaped aperture 57 s is such that a one-dimensional ideal spherical wavefront is generated in the short direction of slit-shaped aperture 57 s.
- This one-dimensional ideal spherical wavefront passes through optical system 37 and is diffracted by diffraction grating 62 .
- Zeroeth-order peak P 0 of the diffraction pattern arrives at the corresponding slit-shaped aperture 59 s on second dual slit plate 59
- first-order peak P 1 of the diffraction pattern arrives at aperture 59 a on second dual slit plate 59 .
- a one-dimensional ideal spherical wavefront is generated in the short direction of the corresponding slit-shaped aperture 59 s on second dual slit plate 59 , and a wavefront corresponding in shape to the wavefront aberration of optical system 37 passes through aperture 59 a .
- the wavefront of the one-dimensional ideal spherical wavefront and the wavefront from the aperture 59 a mutually interfere and form interference fringes on detector 60 .
- the wavefront aberration of optical system 37 can be measured by analyzing these interference fringes in computer CU. Furthermore, it is possible in this ninth embodiment that measurement accuracy will lower in a direction parallel to the long direction of slits 57 s, 59 s.
- second dual slit plate 59 makes use of two peaks of the diffraction pattern produced by diffraction grating 62 (zeroeth-order peak P 0 and first-order peak P 1 ), the present invention is not limited to employment of two such peaks or of employment of combinations of the zeroeth-order and first-order peaks thereof.
- FIG. 19 we describe a sixth wavefront-aberration-measuring interferometer 22 P of a tenth embodiment according to a third aspect of the present invention.
- Interferometer 22 P is a variation on the above-discussed interferometers 22 M, 22 N in the sixth embodiment shown in FIGS. 15 a - 16 c .
- An LPX source 21 is used in interferometer 22 P of the tenth embodiment in place of the SOR undulator light source (not shown) that was used in interferometers 22 M, 22 N of the sixth embodiment.
- laser light source 23 supplies pulsed laser light of a wavelength in the range from the infrared region to the visible light region.
- Laser light source 23 may be, for example, a YAG laser excited by a semiconductor laser, an excimer laser, or the like. This laser light is condensed by condenser optical system 29 onto target 25 .
- Target 25 receives the high-intensity laser light, rises in temperature and is excited to the plasma state, and emits X-rays 27 during transitions to a lower potential state.
- Pinhole plate 31 has a single aperture much larger (i.e., ten or more times) than the diameter of the Airy disk 0.6 ⁇ /NA, where ⁇ is the wavelength of quasimonochromatic light 27 and NA is the numerical aperture on the incident side (pinhole plate 31 side) of optical system 37 .
- ⁇ is the wavelength of quasimonochromatic light 27
- NA is the numerical aperture on the incident side (pinhole plate 31 side) of optical system 37 .
- illumination is such that there is uniform illuminance within object plane OP and within the cross section of the light beam incident pinhole plate 31 . Accordingly, the pinhole plate 31 which is used can have a large aperture 310 such as has been described.
- second Hartmann plate 96 (see FIG. 15 b ) having a plurality of apertures 96 o is arranged between image plane IP of optical system 37 (i.e., a location made conjugate to pinhole plate 31 by optical system 37 ) and optical system 37 .
- the light beam from aperture 31 o of pinhole plate 31 upon exiting from optical system 37 , forms, due to the action of the plurality of apertures 96 o of second Hartmann plate 96 , a plurality of ray groups RG that are the same in number as the number of apertures 96 o.
- Ray groups RG then proceed to image plane IP of optical system 37 .
- Ray groups RG converge at image plane IP and arrive at detector 60 in a divergent state. If the plane of the pupil (not shown) of optical system 37 is subdivided into a plurality of sections, ray groups RG that pass through the plurality of apertures 96 o on second Hartmann plate 96 respectively correspond to rays passing through each such section.
- the lateral aberration of optical system 37 can be determined if the position at which each of the ray groups RG arrives at detector 60 is detected.
- the wavefront aberration of optical system 37 can then be determined from this lateral aberration using computer CU, as describe above.
- FIGS. 20 a and 20 b a seventh wavefront-aberration-measuring interferometer 22 Q in an eleventh embodiment according to a third aspect of the present invention is described.
- a light source 21 supplying light in the soft X-ray wavelength region was used as light source in the above-described interferometers 22 N- 22 P in the seventh through tenth embodiments, it may be convenient to use an ordinary laser light source 41 (see FIG. 20 a ), not an X-ray source 21 (see FIGS. 16 a and 19 ), when assembling and adjusting optical system 37 at an ordinary factory.
- FIG. 20 a shows wavefront-aberration-measuring interferometer 22 Q of the tenth embodiment which uses a non-X-ray laser light source 41 .
- FIGS. 20 a - 23 are intended to assist in explaining the principle of the eleventh embodiment.
- laser light source 41 supplies laser light of a prescribed wavelength.
- This laser light is split by a beam splitter 74 adjacent light source 41 .
- One of the beams b 1 so split travels by way of two folding mirrors 35 a and 35 b to a condenser lens 39 , and is guided to first pinhole plate 86 having a single pinhole 86 o.
- First pinhole plate 86 is arranged at the location of image plane IP of optical system 37 .
- Pinhole 86 o is of a size smaller than the diameter of the Airy disk 0.6 ⁇ /NA, where ⁇ is the wavelength of the laser light and NA is the numerical aperture NA on the incident side (first pinhole plate 86 side) of optical system 37 . Accordingly, a first ideal spherical wavefront is generated from pinhole 86 o of first pinhole plate 86 .
- the first ideal spherical wavefront from first pinhole plate 86 passes through optical system 37 and is guided to second pinhole mirror plate 33 arranged at a position conjugate to first pinhole plate 86 by optical system 37 .
- second pinhole mirror plate 33 comprises an optically transparent substrate 33 S, reflective surface 33 R provided on substrate 33 S, and aperture 33 o, which is a region wherein reflective surface 33 R is not provided. Furthermore, aperture 33 o of second pinhole mirror plate 33 is of a size smaller than the diameter of the Airy disk 0.6 ⁇ /NA, where ⁇ is the wavelength of the laser light and NA is the numerical aperture on the exit side (second pinhole mirror plate 33 side) of optical system 37 .
- light beam b 2 produced by splitting at beam splitter 74 travels by way of a folding mirror 35 c to pass through a condenser lens 49 , and is then guided in a condensed state to the rear side of second pinhole mirror plate 33 R (i.e., the back thereof, if the side on which reflective surface 33 R is applied is taken as the front thereof, which is arranged in object plane OP of optical system 37 .
- a second ideal spherical wavefront will be generated at second pinhole mirror plate 33 when light beam b 2 from the rear side of second pinhole mirror plate 33 passes through aperture 33 o.
- the light beam that passes through optical system 37 is reflected by reflective surface 33 R of second pinhole mirror plate 33 .
- This reflected light has a wavefront corresponding in shape to the wavefront aberration of optical system 37 .
- the interference fringes on detector 60 form a shape corresponding to the deviation from an ideal spherical wavefront of the wavefront that passes through optical system 37 .
- the wavefront aberration of optical system 37 can be determined by analyzing these interference fringes using computer CU, as described above.
- FIGS. 20 a and 20 b which illustrate the principle of the wavefront-aberration-measuring interferometer 22 Q of the eleventh embodiment, one prescribed point in object plane OP (or image plane IP) of optical system 37 is used as the measurement point. If a plurality of measurement points are to be measured, then, referring briefly to FIG. 21 a, first pinhole array plate 61 wherein a plurality of pinholes 61 o are arranged in a prescribed array may be used in place of first pinhole plate 86 of FIG. 20 a . In addition, a second pinhole mirror array plate 63 having a plurality of pinholes 63 o and a reflective interstitial surface 63 R may be used in place of second pinhole mirror plate 33 shown in FIGS. 16 a and 16 b.
- FIG. 22 an eighth wavefront-aberration-measuring interferometer 22 R, which is a variation on wavefront-aberration-measuring interferometer 22 Q of the eleventh embodiment wherein the wavefront aberration of optical system 37 can be measured at a plurality of measurement points, is described.
- elements similar in function to elements appearing in FIG. 20 a have been given the same reference numerals as in FIG. 20 a and description thereof will be omitted here for the sake of convenience.
- laser light of a prescribed wavelength from laser light source 41 is split by beam splitter 74 .
- One of the light beams b 1 so split sequentially travels by way of folding mirror 35 a to condenser lens 39 provided on condenser lens stage 66 capable of movement parallel to the image plane of optical system 37 , thereafter arriving at first pinhole array plate 61 .
- first pinhole array plate 61 has a plurality of pinholes 61 o arrayed in a matrix.
- the positions of the plurality of pinholes 61 o correspond to the positions of measurement points for optical system 37 .
- each of the plurality of pinholes 61 o is of a size smaller than the diameter of the Airy disk 0.6 ⁇ /NA, where ⁇ is the wavelength of the laser light and the NA is the numerical aperture on the incident side (first pinhole array plate 61 side) of optical system 37 . Accordingly, upon being illuminated, pinhole 61 o on first pinhole array plate 61 will generate an ideal spherical wavefront.
- a desired pinhole 61 o on first pinhole array plate 61 is selectively illuminated. Furthermore, the position at which the laser light is incident folding mirror 35 a mounted on condenser lens stage 66 changes as condenser lens stage 66 is moved. In addition, instead of one of pinholes 61 o, a plurality of pinholes 61 o may also be collectively illuminated.
- the ideal spherical wavefront from first pinhole array plate 61 passes through optical system 37 , and is then guided to second pinhole mirror array plate 63 , located at a position conjugate to first pinhole array plate 61 by optical system 37 .
- second pinhole mirror array plate 63 is provided with reflective interstitial surface 63 R arranged such that plurality of pinholes 630 form a matrix, no such reflective interstitial surface 63 R being provided at the locations of pinholes 63 o. Furthermore, each of the plurality of pinholes 63 o of second pinhole mirror array plate 63 is of a size smaller than the diameter of the Airy disk 0.6 ⁇ /NA, where ⁇ is the wavelength of the laser light and NA is the numerical aperture on the exit side (second pinhole mirror array plate 63 side) of optical system 37 .
- light beam b 2 produced by splitting at beam splitter 74 sequentially travels by way of oscillatory folding mirror 45 electrically connected to mirror oscillating unit MU, and then by way of folding mirror 35 to a condenser lens 49 , and is then guided in a condensed state to the rear side of second pinhole mirror array plate 63 (i.e., the side opposite from the side at which reflective interstitial surface 63 R is present), which is arranged in object plane OP of optical system 37 .
- an ideal spherical wavefront is generated at second pinhole mirror array plate 63 when light beam b 2 from the rear side of second pinhole mirror array plate 63 passes through pinhole 63 o.
- the reflected light will have a wavefront corresponding in shape to the wavefront aberration of optical system 37 .
- the interference fringes on detector 60 form a shape corresponding to the deviation from an ideal spherical wavefront of the wavefront that passes through optical system 37 .
- the wavefront aberration of optical system 37 can be determined by analyzing these interference fringes using computer CU, as discussed above.
- detector 60 along with the optical system which guides the light from second pinhole mirror array plate 63 to detector 60 , and condenser lens 49 are mounted on Detector stage 68 , which is capable of movement parallel to object plane OP of optical system 37 .
- Detector stage 68 is constituted so that it is linked and moves with condenser lens stage 66 discussed above, and only pinhole 63 o, corresponding to the illuminated pinhole 61 o, can be seen from detector 60 .
- interference fringes are formed on detector 60 due to interference between the light that passes through optical system 37 from illuminated pinhole 61 o and the diffracted light from pinhole 63 o on second pinhole mirror array plate 63 corresponding to the illuminated pinhole 61 o. Accordingly, the wavefront aberration at the measurement point where the illuminated pinhole 61 o is positioned can be determined by analyzing these interference fringes.
- Stable measurement can also be performed with interferometer 22 R in this variation on the eleventh embodiment shown in FIG. 22, without being affected by vibrations caused by the movement of stages 66 , 68 during measurement.
- first pinhole array plate 61 is mounted on a vertical stage 67 , which is capable of causing first pinhole array plate 61 to move in jogged (i.e., incremental) fashion in a direction parallel to the optical axis of optical system 37 .
- Vertical stage 67 is secured to the same frame that supports optical system 37 .
- second pinhole mirror array plate 63 is mounted on an XY stage 69 , which is capable of causing second pinhole mirror array plate 63 to move in jogged fashion within object plane OP of optical system 37 .
- XY stage 69 is attached to the abovementioned frame by way of a piezoelectric element. Furthermore, adjustment of focus can be performed by using vertical stage 67 to move first pinhole array plate 61 . If there is distortion in optical system 37 , XY stage 69 can be used to align the position of pinhole 63 o.
- a length measuring interferometer or other such microdisplacement sensor is preferably provided on XY stage 69 , permitting distortion in optical system 37 to be measured based on the output from the microdisplacement sensor. Furthermore, in the present embodiment, the positions of the plurality of pinholes 61 o of first pinhole array plate 61 and the plurality of pinholes 63 o of second pinhole mirror array plate 63 are accurately measured beforehand using a coordinate measuring interferometer.
- oscillatory folding mirror 45 in interferometer 22 R in this variation on the eleventh embodiment shown in FIG. 22 is constituted so as to permit oscillation via mirror oscillation unit MU, the difference in lengths of the optical paths of the two beams produced by beam splitter 74 changing in accordance with this oscillation. As a result, a fringe scan can be executed for high-precision measurement.
- wavefront-aberration-measuring interferometer 22 S is a comparative example for illustrating the advantage of interferometers 22 Q and 22 R of the eleventh embodiment.
- Interferometer 22 S of the comparative example shown in FIG. 23 employs an ultraviolet laser 41 instead of the SOR undulator light source employed in interferometer 22 J shown in FIG. 10 a.
- measurement accuracy increases as the wavelength of the light source of the wavefront-aberration-measuring interferometer is shortened. Since the wavelength of an ultraviolet laser 41 is approximately 20 times longer than the working wavelength of optical system 37 , the accuracy of interferometer 22 S of the comparative example can be expected to be 20 times worse than that of interferometer 22 J shown in FIG. 10 a.
- interferometers 22 Q and 22 R of FIGS. 20 a and A 22 the reference wavefront is made to travel along an optical path separate from the measurement wavefront.
- measurement can be performed with a precision higher than is possible with interferometer 22 S of the comparative example shown in FIG. 23.
- wavefront aberration can be measured with high precision without the need to use an X-ray source.
- FIG. 24 is a flowchart for assisting in describing a method for calibrating an aspheric-surface-shape measuring interferometer of the type shown in FIGS. 1 - 7 .
- a wavefront-aberration-measuring interferometer of the type shown in FIGS. 10 a - 22 is used to verify the aspheric shape obtained using the aspheric-surface-shape measuring interferometer.
- This method or variations thereof can be applied to any of these interferometers for the sake of convenience, however, we take the example of calibration of aspheric-surface-shape measuring interferometer 22 H of the fourth embodiment shown in FIG. 7 using wavefront-aberration-measuring interferometer 22 J of the fifth embodiment shown in FIG. 10 a.
- step S 1 in FIG. 24 the aspheric surface under test 38 is first machined to a surface accuracy of approximately 10 nm RMS using well-known technology.
- interferometer 22 H of the fourth embodiment of the present invention shown in FIG. 7.
- interferometer 22 H of the fourth embodiment may also be used starting from the time when the aspheric surface is first machined.
- step S 2 using the measurement data from step S 1 , corrective grinding is performed on the aspheric surface 38 so as to make the shape of aspheric test surface 38 conform to the design data.
- FIG. 25 shows a small tool grinding apparatus 400 for performing this corrective grinding.
- small tool grinding apparatus 400 has grinding head 406 provided with a polisher 410 that rotates, and coil spring 414 that applies a prescribed pressure to polisher 414 .
- Aspheric test surface 38 is ground as a result of application of a constant load in a direction normal to aspheric test surface 38 as optical test element 36 is rotated.
- the amount of grinding is proportional to the dwell time of polisher 410 (i.e., the time that polisher 410 remains at a given position and grinds). Furthermore, the shape of test surface 38 is measured using interferometer 22 H shown in FIG. 7, just as was performed at step S 1 . If the result of measurement is that the measured aspheric shape differs from the design shape, the shape of test surface 38 is again corrected using small tool grinding apparatus 82 . By repeating this measurement and correction process, the measured aspheric shape and the design aspheric shape can be made to coincide.
- optical element 36 having test surface 38 shaped as a result of the operations at step S 2 is assembled in the optical system 37 of which it is an optical component.
- step S 4 the wavefront aberration of the optical system 37 assembled in step S 3 is measured.
- a PDI point diffraction interferometer
- SOR sinchrotron orbital radiation
- the wavefront aberration of the optical system can be measured with high precision, specifically to 0.13 nm RMS or better.
- the constitutions of exemplary interferometers which may be applied here are described under the fifth through eleventh embodiments of the present invention shown in FIGS. 10 a - 22 .
- step S 5 the causes of error in the wavefront aberration measured at step S 4 is broken down into an alignment error component (for each aspheric surface) and a shape error component for each surface.
- a computer uses, for example, known optical system automatic correction software, assigns the position of test surface 38 (spacing, inclination and shift) and the shape of test surface 38 as variables, initializes the measurement values of the wavefront aberration, and performs optimization so that the wavefront aberration approaches zero.
- the difference between the position and shape of test surface 38 when optimized and the position and shape of test surface 38 prior to optimization corresponds to the alignment error (positional error) and shape error, respectively.
- step S 6 the alignment error calculated at step S 5 is evaluated to determine whether it is sufficiently small. If it is not small enough, the flow operation proceeds to step S 7 where the alignment error is adjusted. If it is small enough, the flow proceeds to step S 8 .
- step S 7 alignment of optical element 36 in optical system 37 is adjusted based on the alignment error calculated at step S 5 , following which flow returns to step S 4 .
- step S 8 the difference between the shape error (shape error isolated by the most recent iteration of step S 5 ) in the final wavefront aberration (wavefront aberration as determined by the most recent iteration of step S 4 ) and the final measured aspheric surface shape data calculated in step S 2 is calculated.
- This difference corresponds to the systematic error of aspheric-surface-shape-measuring interferometer 22 H.
- This error corresponds to the shape error of reference surface (Fizeau surface) 70 in the aspheric-surface-shape-measuring (Fizeau-type) interferometer 22 H.
- step S 9 the final aspheric surface shape data measured at step S 2 is corrected by the amount of the systematic error calculated at step S 8 , and test surface 38 is reworked using small tool grinding apparatus 400 based on this corrected aspheric surface shape data.
- optical element 36 having test surface 38 is removed from optical system 37 of which it is a part before corrective grinding operations can be carried out.
- optical system 37 is reassembled and the wavefront aberration is measured using interferometer 22 J shown in FIG. 10 a.
- the measured values are again separated into an alignment error component and a shape error component for each surface, and the surface error is verified to determine whether it is smaller than previously measured.
- optical system 37 is assembled and a reflective film (not shown) must be applied to each surface 38 to be made reflective prior to measurement of the wavefront aberration.
- the shape of surface 38 may change under the influence of stress from the film when applying and removing (e.g., to perform corrective grinding) the reflective film. Although the reproducibility of this change should be less than 0.1 nm RMS, this is not attainable. Nevertheless, the majority of the surface change is second- and fourth-order components (power components and third-order spherical aberration components), and the higher-order components are small.
- Second-order and fourth-order surface change components can be compensated to a certain degree by adjusting the surface spacing. In other words, it is sufficient to ensure that the reproducibility of the surface changes associated only with higher-order components are held to 0.1 nm RMS or smaller. This can be accomplished by sufficient reduction of the stress from the film.
- the present invention provides an aspheric-surface-shape measuring interferometer displaying good reproducibility, and moreover makes it possible to measure wavefront aberration with high precision.
- the present invention permits improvement in the absolute accuracy of precision surface measurements in an aspheric-surface-shape measuring interferometer.
- the present invention permits manufacture of a projection optical system having excellent performance.
- Adoption of the present invention also makes it possible to accurately verify the shape of a null wavefront, as well as the transmission characteristics of such a null wavefront, without the need to use a reflective standard. Moreover, adoption of an interferometer system according to the present invention makes it possible to calibrate an aspheric null element with high precision and in a short period of time.
- the wavefront-aberration-measuring interferometers of the fifth through eleventh embodiments of the present invention discussed above can be assembled as part of an exposure apparatus.
- an SOR undulator of a wavelength which may be used for exposure is used as light source in a wavefront-aberration-measuring interferometers, as was the case in the fifth and sixth embodiments, this will be favorable since the light source unit can also serve as the exposure light source.
- a laser plasma X-ray source of a wavelength which may be used for exposure in a wavefront-aberration-measuring interferometers as was the case in the seventh through tenth embodiments, this will be favorable since the light source unit can also serve as the exposure light source.
- the wavefront-aberration-measuring interferometers of the eleventh embodiment of the present invention requires a laser light source to be furnished separate from the exposure light source.
- this laser light source can also serve as light source for an alignment system or as light source for an autofocus system in the exposure apparatus.
- detector 60 serving as detector when this light source is shared by the exposure apparatus, detector 60 serving as detector may also be fashioned such that it is removable from the exposure apparatus.
- the wavefront aberration of projection optical system 37 can be measured by attaching such a removable unit to the exposure apparatus in the event that maintenance or the like is required. Consequently, there will be no need to provide a dedicated wavefront-aberration-measuring interferometer for each and every exposure apparatus, permitting reduction in the cost of the exposure apparatus.
- detector 60 has been adopted as detector in the fifth through tenth embodiments of the present invention discussed above, a member having a function that converts emitted light in the soft X-ray region to visible light (for example, a fluorescent plate) may be provided at the position of the detector 60 and used in place thereof, and the visible light from this member may be detected by a detector such as a CCD.
- a member having a function that converts emitted light in the soft X-ray region to visible light for example, a fluorescent plate
- the embodiments of the present invention discussed above describe a manufacturing method of a projection optical system 37 in the context of an exposure apparatus that uses soft X-rays of wavelength around 10 nm as exposure light, wavefront-aberration-measuring interferometers ideally suited to the measurement of the wavefront aberration of this projection optical system 37 , surface-shape-measuring interferometers ideally suited to measurement of the surface shape of a reflective surface in this projection optical system 37 , and a calibration method for such an interferometer.
- the present invention is not limited to this soft X-ray wavelength.
- the present invention can be applied to a projection optical system or wavefront-aberration-measuring interferometer for hard X-rays of wavelength shorter than soft X-rays, and to a surface-shape-measuring interferometer that measures the surface shape of an optical element of a hard X-ray projection optical system, and can also be applied to the vacuum ultraviolet region (100 to 200 nm) of wavelength longer than soft X-rays.
- measurement and manufacturing of a precision much greater than hitherto possible becomes possible if the present invention is applied to a vacuum-ultraviolet projection optical system or wavefront-aberration-measuring interferometer, or to surface shape measurement of an optical element in a vacuum-ultraviolet projection optical system.
- the present invention is not to be limited by the specific modes for carrying out the invention described above.
- the present invention has been described in terms of several aspects, embodiments, modes, and so forth, the present invention is not limited thereto.
- the present invention can be applied in any number of combinations and variations without departing from the spirit and scope of the invention as set forth in the appended claims, and it is intended to cover all alternatives, modifications and equivalents as may be included within the spirit and scope of the invention as defined in the appended claims.
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Abstract
A method of manufacturing a projection optical system (37) for projecting a pattern from a reticle to a photosensitive substrate, comprising a surface-shape-measuring step wherein the shape of an optical test surface (38) of an optical element (36) which is a component in the projection optical system is measured by causing interference between light from the optical surface (38) and light from an aspheric reference surface (70) while the optical test surface (38) and said reference surface (70) are held in integral fashion in close mutual proximity. A wavefront-aberration-measuring step is included, wherein the optical element is assembled in the projection optical system and the wavefront aberration of the projection optical system is measured. A surface correction calculation step is also included wherein the amount by which the shape of the optical test surface should be corrected is calculated based on wavefront aberration data obtained at the wavefront-aberration-measuring step and surface shape data obtained from the surface-shape-measuring step. The method also includes a surface shape correction step wherein the shape of the optical test surface is corrected based on calculation performed at the surface correction calculation step. Surface shape measuring interferometer systems and wavefront-aberration-measuring interferometer systems (22J-22Q) used in performing the manufacturing method are also disclosed.
Description
- The present invention relates to an interferometer system for measuring the shape of an aspheric surface of an optical element in an optical system and for measuring the wavefront aberration of such an optical system, particularly in connection with manufacture of a projection optical system suited to for use in an exposure apparatus employing soft-X-ray (EUV) exposure light.
- Light of wavelength 193 nm or longer has hitherto been used as the exposure light in lithographic equipment used when manufacturing semiconductor devices such as integrated circuits, liquid crystal displays, and thin film magnetic heads. The surfaces of lenses used in projection optical systems of such lithographic equipment are normally spherical, and the accuracy in the lens shape is 1 to 2 nm RMS (root mean square).
- With the advance in microminiaturization of the patterns on semiconductor devices in recent years, there has been a demand for exposure apparatus that use wavelengths shorter than those used heretofore to achieve even greater microminiaturization. In particular, there has been a demand for the development and manufacture of projection exposure apparatus that use soft X-rays of wavelength of 11 to 13 nm.
- Lenses (i.e., dioptric optical elements) cannot be used in the EUV wavelength region due to absorption, so catoptric projection optical systems (i.e., systems comprising only reflective surfaces) are employed. In addition, since a reflectance of only about 70% can be expected from reflective surfaces in the soft X-ray wavelength region, only three to six reflective surfaces can be used in a practical projection optical system.
- Accordingly, to make an EUV projection optical system aberration-free with just a few reflective surfaces, all reflective surfaces are made aspheric. Furthermore, in the case of a projection optical system having four reflective surfaces, a reflective surface shape accuracy of 0.23 nm RMS is required. One method of forming an aspheric surface shape with this accuracy is to measure the actual surface shape using an interferometer and to use a corrective grinding machine to grind the surface to the desired shape.
- In a conventional surface-shape-measuring interferometer, measurement repeatability is accurate to 0.3 nm RMS, the absolute accuracy for a spherical surface is 1 nm RMS, and the absolute accuracy of an aspheric surface is approximately 10 nm RMS. Therefore, the required accuracy cannot possibly be satisfied. As a result, a projection optical system designed to have a desired performance cannot be manufactured.
- So-called null interferometric measurement using a null (compensating) element has hitherto been conducted for the measurement of aspheric surface shapes. Null lenses that use spherical lenses comprising spherical surfaces, and zone plates wherein annular diffraction gratings are formed on plane plates have principally been used as null elements.
- FIG. 1 shows a
conventional interferometer system 122 arrangement for null measurement using a null (compensating)element 132. The interferometric measurement described herein is a slightly modified version of a Fizeau interferometric measurement. Namely, aplane wave 126 emitted from aninterferometric light source 124 is partially reflected by a high-precision Fizeausurface 130 formed on a Fizeauplane plate 128. The component ofplane wave 126 transmitted through Fizeausurface 130 is converted into measurement wavefront (null wavefront) 134 bynull element 132 and assumes a desired aspheric design shape at a measurement reference position RP, following which it arrives at atest surface 138 of atest object 136 previously set at the reference position. The light arriving attest surface 138 is reflected therefrom and interferes with the light component reflected from Fizeausurface 130, and forms monochromatic interference fringes insideinterferometer system 122. These interference fringes are detected by a detector such as a CCD (not shown). A signal outputted by the detector is analyzed by an information processing system (not shown) that processes the interferometer information contained in the output signal. Similar measurements can be performed using a Twyman-Green interferometer. - To accurately ascertain the shape of
test surface 138, thenull element 132 must be manufactured with advanced technology, since there must be no error in the null wavefront. Specifically, this means that the optical characteristics of thenull element 132 must be measured beforehand with high precision. Based on these measurements, the shape ofnull wavefront 134 is then determined by ray tracing. This results in the manufacture of nullelement 132 taking a long time. Consequently, the measurement of the desired aspheric surface takes a long time. - FIG. 2 shows another example of a conventional Fizeau
interferometer 222. Referring to FIG. 2, laser light fromlaser 224 passes through alens system 226 to become a collimated light beam of a prescribed diameter and is incident Fizeauplate 228.Rear side 230 of Fizeauplate 228 is accurately ground to a highly flat surface, and the component of the incident light reflected byrear side 230 of Fizeauplate 228 becomes a reference beam having a plane wavefront. The component of incident light transmitted through a Fizeauplate 228 passes throughnull element 232, where the plane wavefront where the plane wavefront is converted to a desired aspheric wavefront. The aspheric wavefront is then incident in perpendicular fashion anaspheric test surface 238. The light reflected bytest surface 238 returns along the original optical path, is superimposed on the reference light beam, reflects off abeam splitting element 256 inlens system 226, and forms interference fringes on aCCD detector 260. By processing these interference fringes by a computer (not shown), the shape error can be measured. - A problem with
interferometer 222 is deterioration, in absolute accuracy, due tonull element 232. A null element comprising a number of high-precision lenses (e.g.,lenses 234 and 236) a CGH (computer-generated hologram), or the like is ordinarily used asnull element 232, and manufacturing errors on the order of 10 nm RMS typically result. - Since
interferometer 222 tends to be affected by vibration and air fluctuations due to the separation of reference surface 230 (i.e., rear side of Fizeau plate 228) andtest surface 238. Repeatability is also poor, at 0.3 nm RMS. Furthermore, in measuring an aspheric surface, alignment ofnull element 232 andtest surface 238 is critical. Measurement repeatability deteriorates by several nanometers if alignment accuracy is poor. - The present invention relates to an interferometer system for measuring the shape of an aspheric surface of an optical element in an optical system and for measuring the wavefront aberration of such an optical system, particularly in connection with manufacture of a projection optical system suited to for use in an exposure apparatus employing soft-X-ray (EUV) exposure light.
- The goal of the present invention is to overcome the above-described deficiencies in the prior art so as to permit fast and accurate calibration of a null wavefront corresponding to an aspheric surface accurate to very high dimensional tolerances.
- Another goal of the present invention is to manufacture a projection optical system having excellent performance.
- Additional goals of the present invention are to provide an aspheric-surface-shape measuring interferometer having good reproducibility, to measure wavefront aberration with high precision and to permit calibration of an aspheric-surface-shape measuring interferometer so as to improve absolute accuracy in precision surface measurements.
- Accordingly, a first aspect of the invention is an interferometer capable of measuring a surface shape of a target surface as compared to a reflector standard. The interferometer comprises a light source capable of generating a light beam, and a reference surface arranged downstream of the light source for reflecting the light beam so as to form a reference wavefront. The interferometer further includes a null element arranged downstream of the reference surface for forming a desired null wavefront from the light beam. The null element is arranged such that the null wavefront is incident the target surface so as to form a measurement wavefront and is also incident the reflector standard when the latter is alternately arranged in place of the target surface so as to form a reflector standard wavefront. The interferometer further includes a detector arranged so as to detect interference fringes caused by interference between the measurement wavefront and the reference wavefront. The detection of the interference fringes takes into account the reflector standard wavefront.
- A second aspect of the invention is a method of manufacturing a projection optical system capable of projecting a pattern from a reticle onto a photosensitive substrate. The method comprises the steps of first measuring a shape of a test surface of an optical element that is a component of the projection optical system by causing interference between light from the test surface and light from an aspheric reference surface while the test surface and the aspheric reference surface are held integrally and in close proximity to one another. The next step is assembling the optical element in the projection optical system and measuring the wavefront aberration of the projection optical system. The next step is then determining an amount by which the shape of the test surface should be corrected based on the measured wavefront aberration obtained in the step b. Then, the final step is correcting the shape of the test surface based on the amount by which the shape of the test surface should be corrected as determined above.
- A third aspect of the invention is an interferometer for measuring wavefront aberration of an optical system having an object plane and an image plane. The interferometer comprises a light source for supplying light of a predetermined wavelength, a first pinhole member capable of forming a first spherical wavefront from the light arranged at one of the object plane and the image plane. The first pinhole member has a plurality of first pinholes arrayed in two dimensions along a surface perpendicular to an optical axis of the optical system. The interferometer further includes a second pinhole member arranged at the opposite one of the object plane and the image plane of the first pinhole member. The second pinhole member has a plurality of second pinholes arrayed at a position corresponding to the imaging position where the plurality of first pinholes is imaged by the optical system. The interferometer also includes a diffraction grating arranged in the optical path between the first and second pinhole members, and a diffracted light plate member that selectively transmits diffracted light of one or more higher predetermined diffraction orders associated with the diffraction grating. The interferometer also includes a detector arranged to detect interference fringes arising from the interference between a second spherical wavefront generated by a zeroeth diffraction order passing through the second pinhole member and the one or more higher predetermined diffraction orders passing through the diffracted light plate member.
- A fourth aspect of the invention is an interferometer calibration method for measuring a surface shape of an optical element of an optical system. The method comprises the steps of first, interferometrically measuring the surface shape of the optical element to obtain a surface shape measurement value, then assembling the optical system by including the optical element in the optical system, then measuring a wavefront aberration of the optical system, then separating the wavefront aberration into a component corresponding to positional error of the surface shape and a component corresponding to surface shape error, then correcting the positional error component and calculating the surface shape error component, and then finally correcting the surface shape measurement value using the surface shape error component as previously calculated
- FIG. 1 is a schematic optical diagram of a first conventional surface-shape-measuring interferometer according to the prior art;
- FIG. 2 is a schematic optical diagram of a second conventional surface-shape-measuring interferometer according to the prior art;
- FIGS. 3a and 3 b are schematic optical diagrams of first and second surface-shape-measuring interferometers of a first embodiment according to a first aspect of the present invention;
- FIGS. 4a and 4 b are schematic optical diagrams of third and fourth surface-shape-measuring interferometers of a first embodiment according to a first aspect of the present invention;
- FIGS. 5a and 5 b are schematic optical diagrams of fifth and sixth surface-shape-measuring interferometers of a second embodiment according to a first aspect of the present invention;
- FIG. 6 is a schematic optical diagram of a seventh surface-shape-measuring interferometer of a third embodiment according to a first aspect of the present invention;
- FIG. 7 is a schematic optical diagram of an eighth surface-shape-measuring interferometer of a fourth embodiment according to a second aspect of the present invention;
- FIGS. 8a and 8 b are cross-sectional diagrams of the main components of the holder assembly of the surface-shape-measuring interferometer of FIG. 7;
- FIG. 9 is a schematic optical diagram of a ninth surface-shape-measuring interferometer that is a variation of the surface-shape-measuring interferometer of FIG. 7;
- FIG. 10a is a schematic optical diagram of a first wavefront-aberration-measuring interferometer for explaining the principle of a fifth embodiment according to a third aspect of the present invention;
- FIG. 10b is a cross-sectional diagram of a second semitransparent film with a pinhole plate in the interferometer of FIG. 10a;
- FIG. 11a is a schematic optical diagram of a second wavefront-aberration-measuring interferometer that is a variation of the wavefront-aberration-measuring interferometer of FIG. 10a;
- FIG. 11b is a plan view of the second dual hole plate in the interferometer of FIG. 11a;
- FIG. 11c is a cross-sectional diagram explaining the operation of the second dual hole plate in the interferometer of FIGS. 11a and 11 b;
- FIG. 12 is a schematic optical diagram of a third wavefront-aberration-measuring interferometer of a fifth embodiment according to a third aspect of the present invention;
- FIG. 13a is a plan view of a first embodiment of the first pinhole array plate of the interferometer of FIG. 12;
- FIG. 13b is a plan view of a first embodiment of the second dual hole array plate of the interferometer of FIG. 12;
- FIG. 14a is a plan view of a second embodiment of the first pinhole array plate, being a variation on the first embodiment of the first pinhole array plate of FIG. 13a;
- FIG. 14b is a plan view of a second embodiment of the second dual hole array plate, being a variation on the first embodiment of the second dual hole array plate of FIG. 13b;
- FIG. 15a is a schematic optical diagram of fourth wavefront-aberration-measuring apparatus of a sixth embodiment according to the present invention;
- FIG. 15b is a plan view of second Hartmann plate of the apparatus shown in FIG. 15a;
- FIG. 16a is a schematic optical diagram of a fifth wavefront-aberration-measuring interferometer of a seventh embodiment according to a third aspect of the present invention;
- FIG. 16b is a plan view of the first pinhole cluster plate of the in interferometer of FIG. 16a;
- FIG. 16c is a plan view of the second dual hole cluster plate of the in interferometer of FIG. 16a;
- FIG. 17a is a plan view of the first pinhole row plate of an eighth embodiment according to a third aspect of the present invention;
- FIG. 17b is a plan view of the second dual hole row plate in an eighth embodiment according to a third aspect of the present invention;
- FIG. 18a is a plan view of the first slit plate of a ninth embodiment according to a third aspect of the present invention;
- FIG. 18b is a plan view of the second dual slit plate of a ninth embodiment according to a third aspect of the present invention;
- FIG. 19 is a schematic optical diagram of a sixth wavefront-aberration-measuring interferometer of a tenth embodiment according to a third aspect of the present invention;
- FIG. 20a is a schematic optical diagram of seventh wavefront-aberration-measuring interferometer of an eleventh embodiment according to a third aspect of the present invention;
- FIG. 20b is a cross-sectional diagram of the second pinhole mirror plate in the interferometer of FIG. 20a;
- FIG. 21a is a plan view of the first pinhole array plate used in a variation of the interferometer of FIG. 20a;
- FIG. 21b is a plan view of second pinhole
mirror array plate 63 in a variation oninterferometer 22Q shown in FIG. 20a; - FIG. 22 is a schematic optical diagram of an eighth wavefront-aberration-measuring interferometer that is a variation of the interferometer of FIG. 20a;
- FIG. 23 is a schematic optical diagram of a wavefront-aberration-measuring apparatus serving as a comparative example for illustrating the advantage of interferometers of FIGS. 20a and 22;
- FIG. 24 is a flowchart indicating an exemplary method for calibrating the aspheric-surface-shape measuring interferometer of FIG. 7 using the wavefront-aberration-measuring interferometer FIG. 10a; and
- FIG. 25 is a cross-sectional showing a small tool grinding apparatus used in the interferometer calibration method indicated in the flowchart of FIG. 24.
- The present invention relates to an interferometer system for measuring the shape of an aspheric surface of an optical element in an optical system and for measuring the wavefront aberration of such an optical system, particularly in connection with manufacture of a projection optical system suited to for use in an exposure apparatus employing soft-X-ray (EUV) exposure light.
- Referring to FIGS. 3a and 3 b, the principle of operation of an interferometer system according to a first aspect of the present invention is now discussed.
- Compared with
prior art interferometer 122 shown in FIG. 1, first andsecond interferometer systems reflective surface 42 arranged in place of test surface (aspheric surface) 138 of test object 136 (see FIG. 1). -
Interferometer 22A shown in FIG. 3a further differs fromprior art interferometer 122 of FIG. 1 in that awavefront 45 incidentnull element 32 is a spherical wavefront from aFizeau lens 44, and in that aFizeau surface 46 is used as the reference surface.Fizeau lens 42 need not be limited to a convergent system as shown, but may also be a divergent system.Interferometer 22B shown in FIG. 3b is an example wherein a wavefront incidentnull element 32 is aplane wave 26, as in the case ofprior art interferometer 122 shown in FIG. 1. Aflat Fizeau surface 30 of aFizeau lens 28 is used as the reference surface.Interferometer 22B differs fromprior art interferometer 122 of FIG. 1 in that the light beam converted bynull element 32 is a convergent light beam, and in that it permits measurement of concave surfaces as well as convex surfaces. A method of calibrating null wavefront in this case is to use a concave reflective surface to calibrate the wavefront as it diverges after having first converged, and then to reverse calculate the shape of thenull wavefront 34 at the position where it is actually used (heavy line in drawing) based on the calibrated wavefront shape. High-precision calibration is possible if a pinhole interferometer (i.e., a point diffraction interferometer, hereinafter referred to as a “PDI,” discussed further below) is used to calibrate the concave reflective surface. - If the amount of asphericity of
surface 42 is small, then the entire surface can be measured all at once. However, in the case of an aspheric surface that unfortunately generates interference fringes exceeding the resolution of the interferometer CCD, data for the entire surface can be obtained in the same manner by applying the so-called wavefront synthesis technique. This technique involves axially displacing reflective standard 40 relative tonull wavefront 34, conducting interferometric measurements on a plurality of annular wavefront data, and joining the redundant regions of each of the data so they overlap without excess. - First Embodiment
- Referring now to FIGS. 4a and 4 b, third and fourth surface-shape-measuring
interferometers PDI 52 employing an ideal spherical wavefront from a pointlight source 54 is used to measurenull element 32 in Fizeau (aspheric-surface-measuring) interferometer (i.e., first interferometer system) 22A shown in FIG. 3a. -
Interferometer 22C shown in FIG. 4a employs a divergentnull element 32, andinterferometer 22D shown in FIG. 4b employs a convergentnull element 32. The latter is adopted when calibrating thewavefront 34 for measurement of a convex surface. - Since
spherical wavefront 45 incidentnull element 32 ininterferometers light source 54, it is possible to simultaneously ascertain the shape ofnull wavefront 34 as well as the transmission characteristics ofnull element 32. - Second Embodiment
- Referring now to FIGS. 5a and 5 b, fifth and sixth surface-shape-measuring
interferometers null element 32 generating a convergentnull wavefront 34, as the case atinterferometer 22B shown in FIG. 3b.Interferometer 22E of FIG. 5a uses aspherical wavefront 45 as the wavefront fromFizeau surface 46 incidentnull element 32.Interferometer 22F in FIG. 5b uses aplane wave 26 therefor. It does not matter whetherspherical wavefront 45 is a convergent light beam or a divergent light beam. Furthermore, use ofPDI 52 replaces calibration using a reflective surface.PDI 52 corresponds to a point light source of the present invention. - To perform measurements with
PDI 52, taking the case in whichnull wavefront 34 is convergent,pinhole 54 ofPDI 52 is positioned so as to approximately coincide with the point of convergence ofnull wavefront 34. As a result,null wavefront 34, which is reflected from areflective surface 56 surroundingpinhole 54, and the ideal spherical wavefront produced by thelight leaving pinhole 54 will form interference fringes. - Third Embodiment
- Referring now to FIG. 6 a seventh surface-shape-measuring
interferometer 22G is a third embodiment according to a first aspect of the present invention and is similar tointerferometer 22E of FIG. 5a, except that aPDIs 52A is used in place of aFizeau lens 44 that there had generated a spherical wavefront. Asecond PDI 52B is also used for measurement light. Ininterferometer Fizeau interferometer PDI 52 will be lost in noise. In this case, it is preferable to in addition employ a polarizing element to reduce noise and improve the usable signal. - The measurement arrangement in
interferometer 22G shown in FIG. 6 has the advantage that pinhole 54B that forms the point light source ofsecond PDI 52B acts to reduce noise and improve the usable signal. This permits not only the shape ofnull wavefront 34 and the transmission characteristics ofnull element 32 to be accurately calibrated, but also permits the transmission characteristics of twoPDIs - To actually use one of the
aforementioned interferometers 22C-22G to measure atest surface 38 after calibration has thus been performed,reflective standard 40, point light source forming means,PDIs 52 or the like are removed and these are replaced with theoriginal test surface 38 and alight source 48, following which measurements may be performed. - As described above,
interferometers 22C-22G of the first through third embodiments according to a first aspect of the present invention make it possible to calibrate an asphericnull element 32 with high precision and in a short period of time. - Fourth Embodiment
- FIG. 7 shows an eighth surface-shape-measuring
interferometer 22H of a fourth embodiment according to a second aspect of the present invention. FIGS. 8a and 8 b show the principal parts ofinterferometer 22H of FIG. 7.Interferometer 22H shown in FIG. 7 is capable of measuring the shape of an aspheric surface. - Referring to FIG. 7, laser light from a
laser 24 is changed into a collimated beam of a prescribed diameter by way of alens system 58, and is then incidentnull element 32.Null element 32 emits a wavefront having a shape substantially identical to that oftest surface 38, and the wavefront, having been converted to a prescribed aspheric surface shape, is incident in perpendicular fashion, anaspheric reference surface 70 andaspheric test surface 38. Furthermore,aspheric reference surface 70 has substantially the same shape as aspheric test surface 38 (with, however, concavity and convexity reversed). The light incidentaspheric reference surface 70 is amplitude-divided, with one wavefront proceeding to testsurface 38 and the other wavefront returning along the original optical path to serve as reference wavefront. -
Aspheric reference surface 70 is arrangedproximate test surface 38, andaspheric reference surface 70 andtest surface 38 have mutually complementary shapes.Aspheric reference surface 70 andtest surface 38 are supported in integral fashion by aholder 72. - Furthermore, light from
aspheric reference surface 70 is reflected bytest surface 38, and is again incidentaspheric reference surface 70 as the measurement wavefront. - After the abovementioned reference wavefront and measurement wavefront exit from the reference
optical element 76 upon whichaspheric reference surface 70 is formed, they are incidentnull element 32, are reflected by abeam splitter 74 withinlens system 58, and then form interference fringes ondetector 60 comprising a CCD or other such image pickup element. By processing these interference fringes with a computer CU electronically connected todetector 60, the shape error oftest surface 38 can be measured. - In
interferometer 22H shown in FIG. 7, a main body, which includes the elements fromlaser 24 tonull element 32, andholder 72, are supported by separate members so as to be spatially separated. -
Interferometer 22H shown in FIG. 7 is basically a Fizeau interferometer, but it has several significant advantages over priorart Fizeau interferometer 222 of FIG. 2. The causes of the degradation in the measurement reproducibility in a conventional interferometer such asinterferometer 122 of FIG. 1 orinterferometer 222 of FIG. 2 include air fluctuations, vibration, sound, air pressure fluctuations, temperature fluctuations, detector noise, nonlinear errors and amplitude errors in the fringe scan, reproducibility of positioning the specimen, reproducibility of strain in the specimen due to the specimen holder, and aberrations in the optical system. Among these, air fluctuations, vibration, sound, air pressure fluctuations, temperature fluctuations, and optical system aberrations can be significantly reduced by bringingtest surface 38 andreference surface 70 close together and physically joining them in integral fashion, as ininterferometer 22H of the fourth embodiment of the present invention shown in FIG. 7. - Particularly with respect to
interferometer 22H of in FIG. 7, whilenull element 32 is used therein, measurement accuracy is not affected by either the accuracy ofnull element 32 or the accuracy of alignment betweennull element 32 andtest surface 38. This is becausenull element 32 functions to deliver a wavefront having an aspheric shape more or less identical toaspheric reference surface 70 to thataspheric reference surface 70, but does not directly function to deliver an aspherically shaped wavefront to testsurface 38. Accordingly, althoughnull element 32 is not an essential component ininterferometer 22H, it is preferable to usenull element 32 so as to improve measurement accuracy. - The positional reproducibility of
test object 36 ininterferometer 22H is ensured through use of a position sensor PS (electronic micrometer or the like), not shown, arranged aroundtest object 36, and the reproducibility of strain in thetest specimen 36 from thespecimen holder 72 is improved by constructing thespecimen holder 72 such that support is effected in three-point or multi-point fashion. - In addition, the close proximity of
test surface 38 andreference surface 70 makes detection of alignment error easier and enables high-precision alignment. Detector noise can be sufficiently reduced by coolingdetector 60 and by integrating the data. Nonlinear errors and amplitude errors during fringe scans can be eliminated by using a digital-readout piezoelectric element, and by processing the signal such that there are an increased number of packets during fringe scans. Adoption of the above-described constitution ininterferometer 22H permits attainment of repeatabilities of 0.05 nm RMS or better, and permits attainment of measurement reproducibilities, including alignment error, changes occurring over time, and so forth, of 0.1 nm RMS or better. - A remaining problem with
interferometer 22H is absolute accuracy, which is dependant on the surface accuracy of referenceaspheric surface 70. This error is a systematic error associated with theinterferometer 22H. Below are described ways to correct this error (i.e., how calibration to offset this error. -
Interferometer 22H, while based onconventional Fizeau interferometer 222 shown in FIG. 2, is different from the conventional Fizeau interferometer in the following respects. Fizeau (reference)surface 70 ofinterferometer 22H is an aspheric surface, its shape being such that convexity and concavity are reversed with respect to testsurface 38 arranged in close proximity toFizeau surface 70. The constitution is such thatreference element 76 is separated from the optical system, and such that the (Fizeau) referenceoptical element 76 is physically connected in integral fashion to testobject 36. This constitution significantly improves repeatability and measurement reproducibility as compared with that of above-describedconventional interferometer 222 shown in FIG. 2. - FIGS. 8a and 8 b show two exemplary configurations for
holder assembly 72 ofinterferometer 22H of FIG. 7. FIG. 8a shows an exemplary configuration wherein the spacing betweentest surface 38 andaspheric reference surface 70 is variable, and FIG. 8b shows an exemplary configuration wherein the spacing is fixed. - Referring to FIG. 8a,
reference element 76 withaspheric reference surface 70 is held byreference element holder 72H, which is disposed separately from theinterferometer 22H main body. Apiezoelectric element 72P is provided onreference element holder 72H. Atest object holder 72T, which holdstest object 36, is mounted toreference element holder 72H by way ofpiezoelectric element 72P. By drivingpiezoelectric element 72P, the spacing betweenaspheric reference surface 70 andtest surface 38 can be adjusted. Furthermore, this variable spacing can also be exploited to perform a fringe scan, which is a conventional method of analyzing interference fringes. - The exemplary configuration of
holder assembly 72 shown in FIG. 8b is similar to the exemplary configuration shown in FIG. 8a in thatreference element 76 withaspheric reference surface 70 is held byreference element holder 72H. However,holder assembly 72 of FIG. 8b has spacers 72S directly vacuum-deposited at three locations onaspheric reference surface 70.Spacers 72S are 1 to 3 μm in thickness, this thickness being identical at all three locations. Furthermore,spacers 72S are provided so that they trisect the circumference about an axis Ax in the vertical direction of the paper surface in FIG. 8b.Test surface 38 is mounted on (three)spacers 72S. The spacing betweenaspheric reference surface 70 andtest surface 38 can thereby be kept constant and the strain intest surface 38 due to gravity can also be kept constant. If the exemplary configuration shown in FIG. 8b is employed, it is possible to perform a fringe scan for analyzing interference fringes by varying laser wavelength, which has the additional benefit of eliminating the likelihood that the interferometer will be affected by mechanical vibration or the like. - It is preferable that
test object 36 be held inholder assembly 72 in the same manner as it is held in the optical system of which it is an optical component. It is also preferable thattest object 36 be held inholder assembly 72 in the same orientation with respect to gravity as it is held in the optical system of which it is an optical component. This will make it possible to carry out meaningful measurements despite changes in surface shape which may occur due to the action of strain ontest surface 38 whentest object 36 is actually incorporated into an optical system. - It is also preferable to make the spacing between
aspheric reference surface 70 andtest surface 38 less than 1 mm. If this spacing exceeds 1 mm, the impact of air fluctuations, vibration, sound, air pressure fluctuations, temperature fluctuations and optical system aberrations increases, leading to a deterioration in measurement accuracy. To further improve measurement accuracy, it is preferable to set the spacing betweenaspheric reference surface 70 andtest surface 38 to be less than 100 μm. - In addition, if the spacing between
aspheric reference surface 70 andtest surface 38 is fixed as in FIG. 8b, it is preferable to set this spacing to be less than 10 μm. - Variation on Fourth Embodiment
- In the exemplary configuration shown in FIG. 8a and discussed above, the spacing between
test surface 38 andaspheric reference surface 70 may be detected by the following techniques. - Referring now also to FIG. 9, a ninth surface-shape-measuring
interferometer 221 is a variation on the above-describedinterferometer 22H of the fourth embodiment shown in FIG. 7. Ininterferometer 221, elements similar in function to elements as those ininterferometer 22H have been given the same reference numerals and so a description thereof is omitted. - Interferometer221 shown in FIG. 9 differs from
interferometer 22H shown in FIG. 7 in that ashearing interferometer 80 is provided behind test surface 38 (i.e., at the side opposite from aspheric reference surface 70). Shearinginterferometer 80 guides light from awhite light source 80S to testsurface 38 andaspheric reference surface 70 by way of a beam splitter 80BS. Light reflected bytest surface 38 and light reflected byaspheric reference surface 70 passes through beam splitter 80BS, and is horizontally displaced by a birefringent member 80BR. The latter may be, for example, a Wollaston prism. The light then passes through ananalyzer 80A and forms an interference pattern ondetector 60, such as a CCD. The spacing betweentest surface 38 andaspheric reference surface 70 can be detected by monitoring the change in the interference pattern ondetector 60. In addition, in interferometer 22I shown in FIG. 9,optical element 36 havingtest surface 38 is preferably made of an optically transmissive material such as, for example, quartz or Zerodur. - Fifth Embodiment
- Referring now to FIGS. 10a-14, we describe a fifth embodiment according to a third aspect of the present invention. FIGS. 10a and 11 a show first and second wavefront-aberration-measuring
interferometers interferometer 22L according to the fifth embodiment. -
Interferometers test surface 38 of atest object 36 previously removed from an optical system of which it is an optical component, as wereinterferometers - The wavefront-aberration-measuring
interferometers 22J-22L according to the fifth embodiment of the present invention use light corresponding to an exposure wavelength in the soft X-ray region to measure wavefront aberration of a projection optical system. - Referring to FIGS. 10a-11 c, the principle of the wavefront-aberration-measuring interferometer of the fifth embodiment according to a second aspect of the present invention is now described.
- With reference to FIG. 10a, light from a synchrotron orbital radiation (hereinafter “SOR”) undulator (not shown) passes through a spectroscope (not shown) to form quasimonochromatic light 84 having a wavelength around 13 nm.
Light 84 is condensed by acondenser mirror 64 and is incident afirst pinhole plate 86. Firstpinhole plate 86 has an aperture (pinhole) 86 o of a size smaller than the size of the Airy disk as determined from the numerical aperture on the incident side (first pinhole plate 86 side) of anoptical system 37 under test. The size of the Airy disk is given by 0.6 λ/NA, where NA is the incident-side numerical aperture ofoptical system 37, and λ is the wavelength of quasimonochromatic light 84. - Light having a wavefront which can be regarded as that of an ideal spherical wavefront will exit
first pinhole plate 86. Light fromfirst pinhole plate 86 is then incidentoptical system 37, and then arrives at apinhole plate 88 having an aperture 88 o arranged at an image plane IP ofoptical system 37. Firstpinhole plate 86 andsecond pinhole plate 88 are arranged at locations made mutually conjugate byoptical system 37, i.e., at locations corresponding to what would be an object point and an image point ifoptical system 37 were actually used to image an object. - Referring to FIG. 10b,
pinhole plate 88 comprises asemitransparent film 88F provided on asubstrate 88S which is optically transmissive at the wavelength of emitted quasimonochromatic light 84, and aperture 88 o whereinsemitransparent film 88F is not provided. Accordingly, a portion of the wavefront incident pinholeplate 88 is transmitted without alteration of the wavefront, and another portion undergoes diffraction at aperture 88 o. Accordingly, if the size of aperture 88 o is sufficiently small, the light diffracted at aperture 88 o can be regarded as an ideal spherical wavefront. - Referring again to FIG. 10a,
detector 60 is arranged on the exit side of pinhole plate 88 (i.e., at the side thereof opposite from optical system 37). Interference fringes are formed ondetector 60 due to interference between the ideal spherical wavefront from aperture 88 o and the transmitted wavefront fromsemitransparent film 88F. The transmitted wavefront fromsemitransparent film 88F corresponds in shape to the wavefront aberration ofoptical system 37. The interference fringes ondetector 60 assume a shape corresponding to the deviation of this transmitted wavefront from an ideal spherical wavefront (ie., the wavefront from aperture 88 o). Accordingly, the wavefront aberration ofoptical system 37 can be determined by analyzing, in a computer CU electrically connected todetector 60, the interference fringes detected bydetector 60. - FIGS. 11a is a fourth wavefront-aberration-measuring
interferometer 22K employing an SOR undulator light source and which is a variation of wavefront-aberration-measuringinterferometer 22J of FIG. 10a. Note that in FIGS. 11a-11 c, elements similar in function to elements appearing in FIGS. 10a and 10 b are given the same reference numerals as in FIGS. 10a and 10 b.Interferometer 22K makes use of a measurement technique of higher precision than that ofinterferometer 22J.Interferometer 22K in FIG. 11a differs frominterferometer 22J in FIG. 10a in that a seconddual hole plate 90 is arranged in place ofsecond pinhole plate 88, and adiffraction grating 62 is inserted between firstpinhole plate 86 and seconddual hole plate 90. - FIG. 11b shows the constitution of second
dual hole plate 90, and FIG. 11c is a diagram for explaining the functions ofdiffraction grating 62 and seconddual hole plate 90. Referring to FIG. 11b, seconddual hole plate 90 has microscopic aperture 90 o that functions as a pinhole, and anaperture 92 that is larger than pinhole 90 o. Pinhole 90 o andaperture 92 are formed such that if seconddual hole plate 90 is at the location of image plane IP ofoptical system 37, pinhole 90 o is positioned in the optical path of the zeroeth-order peak P0 of the diffraction pattern produced bydiffraction grating 62. In addition,aperture 92 is positioned in the optical path of a first-order peak P1 of the diffraction pattern produced bydiffraction grating 62, as shown in FIG. 11c. - Accordingly, zeroeth-order peak P0 is diffracted by pinhole 90 o, forming an ideal
spherical wavefront 45 which then proceeds todetector 60. In addition, awavefront 45′ associated with first-order peak P1, which contains information about the wavefront aberration ofoptical system 37, passes throughaperture 92 without alteration, and proceeds todetector 60. At this time, zeroeth-order peak P0 and first-order peak P1 have wavefronts 45 and 45′, respectively, corresponding to the wavefront aberration ofoptical system 37.Wavefront 45 of the light that passes through pinhole 90 o, is converted to an ideal spherical wavefront. However,wavefront 45′ passing throughaperture 92 does not undergo any significant amount of diffraction, and so has a wavefront shape corresponding to the wavefront aberration ofoptical system 37. Accordingly, interference fringes due to interference between idealspherical wavefront 45 from pinhole 90 o and measurement wavefront '45 fromaperture 92 are formed ondetector 60. The profile of the interference fringes formed ondetector 60 will correspond to the deviation of the measurement wave from an idealspherical wavefront 45, andwavefront 45′ containing aberration information ofoptical system 37 can be determined by analyzing these interference fringes, as in the case forinterferometer 22J of FIG. 10a. - With continuing reference to FIG. 11a, a fringe scan for high-precision measurement can be performed by moving
diffraction grating 62 by operatively connecting the latter to a diffraction grating driving unit DU. Ininterferometer 22K,diffraction grating 62 is shown arranged in the optical path betweenoptical system 37 and seconddual hole plate 90. However,diffraction grating 62 may be arranged in the optical path anywhere between firstpinhole plate 86 and seconddual hole plate 90. For example, it is possible to arrangediffraction grating 62 in the optical path between firstpinhole plate 86 andoptical system 37. In addition, while the above-described embodiment ofinterferometer 22K employed two diffraction orders P0 and P1 of the diffraction pattern produced bydiffraction grating 62, the present invention is not limited to two such orders or of combinations of the zeroeth-order and first-order. - Referring now to FIG. 12, a fifth wavefront-aberration-measuring
interferometer 22L, which represents a fifth embodiment according to the second aspect of the present invention for measuring the wavefront aberration of anoptical system 37 based on the principle explained above with reference to FIGS. 10a-11 c, is now described. In FIG. 12, elements similar in function to elements appearing in FIGS. 10a-11 c are given the same reference numerals as in FIGS. 10a and 10 b. - In
interferometers optical system 37 can only be measured at one point in image plane IP. To accurately ascertain the aberration of an optical system, it is necessary to measure a plurality of image points. To measure a plurality of image points ininterferometers first pinhole plate 86 andsecond pinhole plate 88. or seconddual hole plate 90, to a number of prescribed positions. In this case, since the pinholes are extremely small, there is a risk that the pinholes will be affected by the vibration of the movement mechanism that moves the pinholes, and that particularly for pinholes on the image side, it will not be possible to make light pass through these pinholes stably. This makes good measurements extremely problematic. In addition, if pinholes are moved, it becomes difficult to measure the pinhole positions with good accuracy. Further, there is a risk that the accuracy with which aberration (particularly distortion), is measured will no longer be sufficient, particularly for image points. - In
interferometer 22L, a firstpinhole array plate 93, wherein pinholes are arrayed in two dimensions, is used in place offirst pinhole plate 86 ofinterferometer 22K shown in FIG. 11a. - Referring to FIG. 12, light from an SOR undulator (not shown) passes through an analyzer (not shown) to form quasimonochromatic light84 having of wavelength around 13 nm. This light is condensed by
condenser mirror 64 and is incident firstpinhole array plate 93. Unlike wavefront-aberration-measuringinterferometers interferometer 22L shown in FIG. 12 is constituted such that light is incident the image plane IP side, not the object plane OP side, ofoptical system 37, the reason for which is discussed below. - Turning briefly to FIG. 13a, first
pinhole array plate 93 comprises an array or matrix of pinhole apertures (pinholes) 93 o of a size well smaller than the size of the Airy disk 0.6 λ/NA, as determined from the numerical aperture (imagewise numerical aperture) NA at the incident side ofoptical system 37. The positions of pinholes 93 o correspond to the locations of image points ofoptical system 37 for which measurement of wavefront aberration is desired. - Returning now to FIG. 12,
condenser mirror 64 is provided on acondenser mirror stage 66, which is capable of movement parallel to image plane IP ofoptical system 37. By movingcondenser mirror stage 66, any desired pinhole 93 o on firstpinhole array plate 93 can be selectively illuminated. An illuminated pinhole 93 o corresponds to a measurement point. Furthermore, the position at whichquasimonochromatic light 84 is incident firstpinhole array plate 93 will change with the movement ofcondenser mirror stage 66. In addition, it is also possible to collectively illuminate a plurality of pinholes 93 o on firstpinhole array plate 93 instead of, or in addition to, illuminating just one of the pinholes. Nonetheless, in the description below, it is assumed for the sake of convenience, that only one pinhole 93 o is illuminated. - Referring now also to FIG. 13b, second dual
hole array plate 94 is located in object plane OP, ie., arranged at the position at whichoptical system 37 images firstpinhole array plate 93. Second dualhole array plate 94 has a plurality of pinhole apertures (pinholes) 94 o provided in a matrix at positions at which the plurality of pinholes 93 o of firstpinhole array plate 93 are imaged, and a plurality ofapertures 95 provided in a matrix such that each is separated by a prescribed distance from each of the plurality of pinholes 94 o. Furthermore, each of the plurality of pinholes 94 o has the same function as pinholes 90 o in FIG. 11b, and each of the plurality ofapertures 95 has the same function asaperture 92 in FIG. 11b. - Referring again to FIG. 12, light having a
wavefront 45, which can be regarded as that of an ideal spherical wavefront, exits an illuminated pinhole 93 o, and is incidentoptical system 37. This light passes throughoptical system 37 and is diffracted bydiffraction grating 62 arranged betweenoptical system 37 and object plane IP. Zeroeth-order peak P0 (not shown in FIG. 12) of the diffraction pattern arrives at pinhole 94 o on second dualhole array plate 94 corresponding to the illuminated pinhole 93 o on firstpinhole array plate 93. First-order peak P1 (not shown on FIG. 12) of the diffraction pattern arrives at aperture 94 o on second dualhole array plate 94 corresponding to the illuminated pinhole 93 o on firstpinhole array plate 93. Light that passes through pinhole 94 o and the light that passes throughaperture 95 mutually interfere. - With continuing reference to FIG. 12,
detector 60, is attached to adetector stage 68 which is capable of movement parallel to object plane OP, is arranged at the exit side of second dualhole array plate 94.Detector stage 68 is constituted so that it is linked with and moves withcondenser mirror stage 66, and such that only pinhole 94 o andapertures 95, corresponding to illuminated pinhole 93 o, can be seen fromdetector 60. Accordingly, the interference fringes due to the light only from pinhole 94 o andaperture 95, corresponding to the illuminated pinhole 93 o, are formed ondetector 60. By analyzing these interference fringes, the wavefront aberration at image plane IP location corresponding to illuminated pinhole 93 o can be determined. - In
interferometer 22L of FIG. 12, firstpinhole array plate 93 and second dualhole array plate 94 are physically grounded (i.e., secured so as to be stationary) with respect tooptical system 37. Thus, stable measurements can be performed without being affected by vibrations caused by the movement ofstages - First
pinhole array plate 93 is mounted on avertical stage 67, which is capable of causing firstpinhole array plate 93 to move in jogged (i.e., incremental) fashion in a direction parallel to the optical axis ofoptical system 37.Vertical stage 67 is preferably secured to the same frame (not shown) that supportsoptical system 37. In addition, second dualhole array plate 94 is mounted on anXY stage 69, which is capable of causing second dualhole array plate 94 to move in jogged fashion within object plane OP ofoptical system 37.XY stage 69 is attached to the abovementioned frame by way of a piezoelectric element. Adjustment of focus can be performed by usingvertical stage 67 to move firstpinhole array plate 93. If there is distortion inoptical system 37,XY stage 69 can be used to align the position of pinhole 94 o. Furthermore, a length measuring interferometer or other such microdisplacement sensor (not shown) may be provided onXY stage 69, permitting distortion inoptical system 37 to be measured based on the output from the microdisplacement sensor. Furthermore, in the present embodiment, the positions of the plurality of pinholes 93 o of firstpinhole array plate 93 and the plurality of pinholes 94 o of second dualhole array plate 94 are accurately measured beforehand using a coordinate measuring interferometer. - Although the position of pinhole94 o is moved in
interferometer 22L, this pinhole can be positioned with good accuracy since the stroke of this movement is small. Furthermore,interferometer 22L is constituted such that pinhole 94 o, on the object plane OP side ofoptical system 37 is moved whenoptical system 37 has a reduction magnification of −1/β. Thus, the positioning accuracy of pinhole 94 o can be relaxed by the factor |−1/β| as compared with the case in which pinhole 93 o, on the image plane IP side ofoptical system 37, is moved.Interferometer 22L is not constituted so that pinhole 93 o is moved and the amount of movement of pinhole 94 o is in a range wherein positioning accuracy can be maintained. Thus, stable measurement can be achieved, and the measurement accuracy of aberration, particularly distortion, at the imaged location can be made sufficient. - In
interferometer 22L shown in FIG. 12, the plurality of pinholes 93 o corresponding to positions for measurement of the wavefront aberration ofoptical system 37 are shown arranged in a matrix. However, the arrangement of pinholes 93 o is not limited to a typical square or rectangular matrix. For example, referring to FIG. 14a, if the field (exposure field) EF ofoptical system 37 is arcuate, as shown in FIGS. 14a and 14 b, then apinhole plate 93′ having pinholes 93 o may be arranged with a prescribed spacing at an object height (image height) of the same height as that ofoptical system 37. Also, as shown in FIG. 14b, the arrangement of the pinholes 94 o andapertures 95 in second dualhole array plate 94′ will have to be prealigned with pinholes 93 o of the firstpinhole array plate 93. - While
diffraction grating 62 ininterferometer 22L of FIG. 12 is arranged in the optical path betweenoptical system 37 and second dualhole array plate 94,diffraction grating 62 may also be arranged in the optical path between firstpinhole array plate 93 and second dualhole array plate 94. For example, it is possible fordiffraction grating 62 to be arranged between firstpinhole array plate 93 andoptical system 37. In addition, whileinterferometer 22L shown in FIG. 12 employs two peaks of the diffraction pattern produced bydiffraction grating 62, i.e., zeroeth-order peak P0 of the diffraction pattern and first-order peak P1 of the diffraction pattern, the present invention is not limited to employment of two such peaks, or of employment of combinations of zeroeth-order and first-order peaks. - Sixth Embodiment
- Referring now to FIGS. 15a and 15 b, a fourth wavefront-aberration-measuring
apparatus 22M of a sixth embodiment according to the present invention is now described.Apparatus 22M uses a soft X-ray exposure wavelength to measure the wavefront aberration of anoptical system 37. Note that in FIGS. 15a and 15 b, elements similar in function to elements appearing in FIGS. 10a-14 b are given the same reference numerals as in FIGS. 10a-14 b. - Referring to FIG. 15a, light from an SOR undulator (not shown) passes through an analyzer (not shown) to form quasimonochromatic light 84 having a wavelength around 13 nm, which is condensed by a
condenser mirror 64 and is incidentfirst pinhole plate 86. Firstpinhole plate 86 has an aperture of a size well smaller than the size of the Airy disk, 0.6 λ/NA, where λ is the wavelength of quasimonochromatic light 84 and NA is the numerical aperture on the incident side (first pinhole plate 86 side) ofoptical system 37. Accordingly, the light that exitsfirst pinhole plate 86 can be regarded as having the wavefront of an ideal spherical wavefront. - In
apparatus 22M, asecond Hartmann plate 96 having a plurality of apertures 96 o, as shown in FIG. 15b, is arranged between the location of image plane IP of optical system 37 (a location made conjugate tofirst pinhole plate 86 by optical system 37) andoptical system 37. - Returning to FIG. 15a, the light beam from
first pinhole plate 86, upon exitingoptical system 37, forms, due to the action of the plurality of apertures 96 o ofsecond Hartmann plate 96, a plurality of ray groups RG that are the same in number as the number of apertures 96 o. Ray groups RG then proceed to image plane IP ofoptical system 37. Ray groups RG converge at image plane IP of optical system undertest 37 and arrive atdetector 60 in a divergent state. If the plane of the pupil (not shown) of optical system undertest 37 is subdivided into a plurality of sections, ray groups RG that pass through the plurality of apertures 96 o onsecond Hartmann plate 96 respectively correspond to rays passing through each such pupil section. As a result, the lateral aberration ofoptical system 37 can be determined if the position at which each of ray groups RG arrives atdetector 60 is detected. The wavefront aberration ofoptical system 37 can be determined from this lateral aberration. - In
apparatus 22M, the plurality of apertures 96 o provided onsecond Hartmann plate 96 are arranged in a matrix as shown in FIG. I5 b. However, the present invention is not limited to this arrangement. In addition, while inapparatus 22Msecond Hartmann plate 96 is arranged betweenoptical system 37 and image plane IPsecond Hartmann plate 96 may also be located between firstpinhole plate 86 and image plane IP, it being possible, for example, forsecond Hartmann plate 96 to be arranged in the optical path between firstpinhole plate 86 andoptical system 37. - Seventh Embodiment
- Referring now to FIGS. 16a-16 c, a fifth wavefront-aberration-measuring
interferometer 22N of a seventh embodiment according to a third aspect of the present invention is described.Interferometers interferometer 22N discussed in further detail below, a laser plasma X-ray (hereinafter “LPX”)source 21 is used in place of an SOR undulator as light source.LPX source 21 generates high-temperature plasma from atarget 25 when high-intensity pulsed laser light is focused ontarget 25. X-rays present within this plasma are then used. Ininterferometer 22N, light emitted fromLPX source 21 is divided into spectral components by a spectroscope (not shown), andlight 27 of only a prescribed wavelength (e.g., 13 nm) is extracted.Light 27 is used as the light for wavefront-aberration-measuringinterferometer 22N. - The intensity of
LPX source 21 is smaller than that of the SOR undulator by an order of magnitude. Consequently, ininterferometer 22N,first pinhole plate 86, which had only a single aperture ininterferometers pinhole cluster plate 87. The latter includes a plurality of pinhole clusters 87 c, each of which contains a plurality of pinholes 87 o clustered together in a microlocation, as shown in FIG. 16b. - Referring again to FIG. 16a, in
LPX source 21, alaser light source 23 supplies high-intensity pulsed laser light of a wavelength in the range from the infrared region to the visible region.Laser light source 23 may be, for example, a YAG laser excited by a semiconductor laser, an excimer laser, or the like. This laser light is condensed by a condenseroptical system 29 ontotarget 25.Target 25 receives the high-intensity laser light, rises in temperature and is excited to the plasma state, and emitsX-rays 27 during transitions to a lower potential state. By passingX-rays 27 through a spectroscope (not shown), quasimonochromatic light 27 only of wavelength 13 nm is extracted, which is then acted on bycondenser mirror 64 and irradiates a pinhole cluster 87 c on firstpinhole cluster plate 87. - Referring again to FIG. 16b, first
pinhole cluster plate 87 has pinhole clusters 87 c, each of which comprises a plurality of pinholes 87 o clustered in a microlocation at a position for which the wavefront aberration ofoptical system 37 is to be measured. Note that in FIG. 16b, pinhole cluster 87 c is shown as having only four pinholes 87 o. However, pinhole cluster 87 c preferably actually comprises one hundred or more pinholes 87 o. Pinholes 87 o are of a size much smaller than the size of the Airy disk 0.6 λ/NA, where λ is the wavelength of quasimonochromatic light 27 and NA is the numerical aperture on the incident side (firstpinhole cluster plate 87 side) ofoptical system 37. In addition, FIG. 16b shows an exemplary schematic arrangement wherein a plurality of pinhole clusters 87 c are formed on firstpinhole cluster plate 87. In practice the positions at which pinhole clusters 87 c are formed to correspond to the positions of object points ofoptical system 37 for which measurement is desired. - Returning to FIG. 16a, the entire region of one pinhole cluster 87 c on first
pinhole cluster plate 87 is illuminated byquasimonochromatic light 27. A plurality of ideal spherical wavefronts are generated from the numerous pinholes 87 o of the illuminated pinhole cluster 87 c. The plurality of ideal spherical wavefronts passes throughoptical system 37, and then proceeds to and converges at image plane IP ofoptical system 37, which position is made conjugate to firstpinhole cluster plate 87 byoptical system 37. - Although not shown in FIGS. 16a-16 c, in
interferometer 22N one of pinhole clusters 87 c on firstpinhole cluster plate 87 is selectively illuminated, just as in the case ofinterferometers - In
interferometer 22 N diffraction grating 62 is arranged betweenoptical system 37 and the location of the image plane IP ofoptical system 37. The light that exitsoptical system 37 and passes throughdiffraction grating 62 is diffracted bydiffraction grating 62 and proceeds to a second dualhole cluster plate 89. - FIG. 16c shows a preferred constitution of second dual
hole cluster plate 89. Second dualhole cluster plate 89 has pinhole cluster 89 c comprising a plurality of pinholes 89 o provided in one-to-one correspondence with the pinholes 87 o of which plurality of pinhole clusters 87 c on firstpinhole cluster plate 87 are each comprised, and a plurality ofapertures 89 a provided in one-to-one correspondence with the plurality of pinhole clusters 87 c. In other words, oneaperture 89 a corresponds to one pinhole cluster 87 c comprising a plurality of pinholes 87 o. - At this time, if second dual
hole cluster plate 89 is arranged at image plane IP, then plurality of pinhole clusters 89 c and plurality ofapertures 89 a will be positionally related so that pinhole cluster 89 c is positioned in the optical path of the zeroeth-order peak P0 of the diffraction pattern produced bydiffraction grating 62, and so thataperture 89 a is positioned in the optical path of first-order peak P1 of the diffraction pattern produced bydiffraction grating 62. - Accordingly, the ideal spherical wavefronts from pinhole cluster87 c on first
pinhole cluster plate 87 pass throughoptical system 37 and are then diffracted bydiffraction grating 62. Of the light produced by this diffraction, zeroeth-order peak P0 of the diffraction pattern arrives at the pinhole cluster 89 c on second dualhole cluster plate 89, which corresponds to illuminated pinhole cluster 87 c. In addition, first-order peak P1 of the diffraction pattern arrives at theaperture 89 a on second dualhole cluster plate 89, which corresponds to illuminated pinhole cluster 87 c. Zeroeth-order peak P0 of the diffraction pattern and first-order peak P1 of the diffraction pattern have wavefronts corresponding in shape to the wavefront aberration ofoptical system 37. Zeroeth-order peak P0 of the diffraction pattern is diffracted by pinhole cluster 89 c as it passes therethrough and is converted to a second group of ideal spherical wavefronts. First-order peak P1 of the diffraction pattern passes throughaperture 89 a and exits therefrom without being diffracted. The light from the second ideal spherical wavefront group and the light fromaperture 89 a mutually interfere. - Accordingly, interference fringes due to interference between the ideal spherical wavefront group from pinhole cluster89 c and the wavefront from
aperture 89 a are formed ondetector 60 arranged on the exit side of second dual hole cluster plate 89 (i.e., on the side of second dualhole cluster plate 89 opposite from optical system 37). Furthermore, the interference fringes ondetector 60 form a shape corresponding to the deviation from an ideal spherical wavefront of the wavefront that passes throughoptical system 37. The wavefront aberration ofoptical system 37 can be determined by analyzing these interference fringes via computer CU electrically connected todetector 60, just as in the previously mentioned embodiments. - Furthermore, although not shown in FIG. 16a,
detector 60 is constituted so as to be capable of movement parallel to image plane IP ofoptical system 37 so that it can be made to selectively receive the light from pinhole cluster 89 c andaperture 89 a corresponding to illuminated pinhole cluster 87 c, just as ininterferometers optical system 37. - The seventh embodiment of the present invention as described above can provide a wavefront-aberration-measuring
interferometer 22N that can be used even in an ordinary factory. - Furthermore, while
diffraction grating 62 ininterferometer 22N of the seventh embodiment shown in FIG. 16a is arranged in the optical path betweenoptical system 37 and second dualhole cluster plate 89,diffraction grating 62 may also be arranged in the optical path between firstpinhole cluster plate 87 and second dualhole cluster plate 89. It being possible, for example, to arrangediffraction grating 62 in the optical path between firstpinhole cluster plate 87 andoptical system 37. Also, whileinterferometer 22N employs two peaks of the diffraction pattern produced by diffraction grating 62 (zeroeth-order peak P0 and first-order peak P1) the present invention is not limited to employment of two such peaks or of employment of combinations of the zeroeth-order and first-order peaks. - Eighth Embodiment
- Referring now to FIGS. 17a and 17 b, an eighth embodiment according to a third aspect of the present invention is described.
Interferometer 22N of the seventh embodiment shown in FIG. 16a and described above employed pinhole clusters 87 c, 89 c provided with a plurality of pinholes 87 o, 89 o in prescribed microlocations. However, apinhole row plate 97 may be used, whereinplate 97 includes a plurality of apinhole rows 97R wherein a plurality of pinholes 97 o are arranged unidimensionally in a prescribed direction, as shown in FIG. 17a. In this case, firstpinhole row plate 97 is provided with a plurality ofrows 97R of pinholes 97 o arrayed in matrix-like fashion so as to correspond to a plurality of measurement points in object plane OP or image plane IP ofoptical system 37. Although FIG. 17a shows apinhole row 97R having only four pinholes 97 o, an actualpinhole row 97R comprises 100 or more pinholes 97 o. Pinholes 97 o are of a size smaller than the Airy disk 0.6 λ/NA, where λ is the wavelength of quasimonochromatic light 84 and NA is the numerical aperture on the incident side of optical system 37 (i.e., on the side thereof at which firstpinhole row plate 97, which here takes the place of firstpinhole cluster plate 87 shown in FIG. 16a, is present). - Referring back and forth between FIGS. 16a-16 c and FIGS. 17a-17 b, if first
pinhole row plate 97 is used in place of firstpinhole cluster plate 87, then a second dualhole row plate 99 should be used in place of second dualhole cluster plate 89. Second dualhole row plate 99 has a plurality ofpinhole rows 99R, each of which comprises a plurality of pinholes 99 o provided in one-to-one correspondence with pinholes 97 o of which pinholerows 97R on firstpinhole row plate 97 are each comprised. In addition,plate 99 has a plurality ofapertures 99 a provided in one-to-one correspondence with plurality of pinhole rows 97 o. Furthermore, each of the plurality ofpinhole rows 99R comprises numerous pinholes 99 o arrayed unidimensionally in a prescribed direction. In addition, oneaperture 99 a corresponds to onepinhole row 97R comprising plurality of pinholes 97 o. - Employment of a
pinhole row - It is also preferable to make the pitch of the plurality of pinholes arrayed unidimensionally in a prescribed direction be 10 to 25 times the radius of the Airy disk 0.6 λ/NA as determined by the numerical aperture on the first
pinhole row plate 97 side ofoptical system 37. It is further preferable to make it approximately 16 to 20 times this Airy disk radius. - Ninth Embodiment
- Referring now to FIGS. 18a and 18 b, we describe a ninth embodiment according to a third aspect of the present invention. It is possible to use slit-shaped apertures 57 s, 59 s in place of pinhole clusters 87 c, 89 c in
interferometer 22N shown in FIG. 16a and described above. FIGS. 18a and 18 b show slitplates - In describing the use of
first slit plate 57 and seconddual slit plate 59 in place of firstpinhole cluster plate 87 and second dualhole cluster plate 89, to reference is made back and forth between FIGS. 16a-16 c and FIGS. 18a-18 b. - In FIG. 18a,
first slit plate 57 is provided with a plurality of slit-shaped apertures 57 s arrayed in matrix-like fashion so as to correspond to a plurality of measurement points in object plane OP image plane IP ofoptical system 37. Furthermore, the slit shape mentioned in the present embodiment refers to a shape extending unidimensionally in a prescribed direction, the overall shape hereof not being limited to rectangular. In addition, the width in the latitudinal direction of slit-shaped aperture 57 s is of a size well smaller than the size of the Airy disk 0.6 λ/NA, where λ is the wavelength of quasimonochromatic light 27 and NA is the by numerical aperture on the incident side (on the side offirst slit plate 57, which here corresponds to firstpinhole cluster plate 87 in FIG. 16a) ofoptical system 37. Upon illumination of a slit-shaped aperture 57 s, the wavefront emitted therefrom will be such that its cross section in the short direction of the slit-shaped aperture 57 s is the same as that of an ideal spherical wavefront (i.e., this then can be said to represent a one-dimensional ideal spherical wavefront). - If
first slit plate 57 shown in FIG. 18a is used in place of firstpinhole cluster plate 87 shown in FIG. 16b, then seconddual slit plate 59 shown in FIG. 18b should be used in place of second dualhole cluster plate 89. Seconddual slit plate 59 comprises a plurality of slit-shaped apertures 59 s provided in one-to-one correspondence with the plurality of slit-shaped apertures 57 s onfirst slit plate 57, and a plurality ofapertures 59 a provided in one-to-one correspondence with the plurality of slit-shaped apertures 57 s onfirst slit plate 57. - In the ninth embodiment of the invention, slit
plates interferometer 22N of the seventh embodiment shown in FIG. 16a. Operation in this case is as follows. - First, one of the plurality of slit-shaped apertures57 s
first slit plate 57 corresponding to a desired measurement point is illuminated with light 27 fromLPX source 21. The wave emitted from the illuminated slit-shaped aperture 57 s is such that a one-dimensional ideal spherical wavefront is generated in the short direction of slit-shaped aperture 57 s. This one-dimensional ideal spherical wavefront passes throughoptical system 37 and is diffracted bydiffraction grating 62. Zeroeth-order peak P0 of the diffraction pattern arrives at the corresponding slit-shaped aperture 59 s on seconddual slit plate 59, and first-order peak P1 of the diffraction pattern arrives ataperture 59 a on seconddual slit plate 59. - Furthermore, a one-dimensional ideal spherical wavefront is generated in the short direction of the corresponding slit-shaped aperture59 s on second
dual slit plate 59, and a wavefront corresponding in shape to the wavefront aberration ofoptical system 37 passes throughaperture 59 a. The wavefront of the one-dimensional ideal spherical wavefront and the wavefront from theaperture 59 a mutually interfere and form interference fringes ondetector 60. The wavefront aberration ofoptical system 37 can be measured by analyzing these interference fringes in computer CU. Furthermore, it is possible in this ninth embodiment that measurement accuracy will lower in a direction parallel to the long direction of slits 57 s, 59 s. If this should be the case, all that need be done to rectify this is to arrangeslit plates optical system 37 such that they are rotatable relative to one another, or to provide a plurality of slit-shaped apertures 57 s, 59 s having long directions in mutually different orientations in place of the slit-shaped apertures 57 s, 59 s shown in FIGS. 18a and 18 b. - Thus, by using slit-shaped apertures57 s, 59 s, it is possible to further increase light flux as compared with cases wherein pinhole plates having a single pinhole, or a pinhole cluster or a pinhole row comprising a plurality of pinholes, are used. This constitution corresponds to a shearing interferometer.
- Also, while second
dual slit plate 59 makes use of two peaks of the diffraction pattern produced by diffraction grating 62 (zeroeth-order peak P0 and first-order peak P1), the present invention is not limited to employment of two such peaks or of employment of combinations of the zeroeth-order and first-order peaks thereof. - Tenth Embodiment
- Referring to FIG. 19, we describe a sixth wavefront-aberration-measuring
interferometer 22P of a tenth embodiment according to a third aspect of the present invention. -
Interferometer 22P is a variation on the above-discussedinterferometers LPX source 21 is used ininterferometer 22P of the tenth embodiment in place of the SOR undulator light source (not shown) that was used ininterferometers - Referring to FIG. 19, in
LPX source 21,laser light source 23 supplies pulsed laser light of a wavelength in the range from the infrared region to the visible light region.Laser light source 23 may be, for example, a YAG laser excited by a semiconductor laser, an excimer laser, or the like. This laser light is condensed by condenseroptical system 29 ontotarget 25.Target 25 receives the high-intensity laser light, rises in temperature and is excited to the plasma state, and emitsX-rays 27 during transitions to a lower potential state. By passingX-rays 27 through a spectroscope (not shown), quasimonochromatic light 27 only of wavelength 13 nm is extracted, which is then acted on bycondenser mirror 64 and irradiates apinhole plate 31. -
Pinhole plate 31 has a single aperture much larger (i.e., ten or more times) than the diameter of the Airy disk 0.6 λ/NA, where λ is the wavelength of quasimonochromatic light 27 and NA is the numerical aperture on the incident side (pinhole plate 31 side) ofoptical system 37. Here, so long as aperture 31 o ofpinhole plate 31 can be illuminated such that there is uniform illuminance within object plane OP ofoptical system 37 and such that there is uniform illuminance within the cross section of the light beamincident pinhole plate 31, there is no need to make the size of the aperture ofpinhole plate 31 smaller than the Airy disk, as is the case for the above-described embodiments. - In
interferometer 22P, illumination is such that there is uniform illuminance within object plane OP and within the cross section of the light beamincident pinhole plate 31. Accordingly, thepinhole plate 31 which is used can have alarge aperture 310 such as has been described. - As in the case in the above-described embodiments, in
interferometer 22P, light exiting from aperture 31 o ofpinhole plate 31 can be regarded as having an ideal spherical wavefront. - As in the case in
interferometer 22M, ininterferometer 22P, second Hartmann plate 96 (see FIG. 15b) having a plurality of apertures 96 o is arranged between image plane IP of optical system 37 (i.e., a location made conjugate to pinholeplate 31 by optical system 37) andoptical system 37. - With continuing reference to FIG. 19, the light beam from aperture31 o of
pinhole plate 31, upon exiting fromoptical system 37, forms, due to the action of the plurality of apertures 96 o ofsecond Hartmann plate 96, a plurality of ray groups RG that are the same in number as the number of apertures 96 o. Ray groups RG then proceed to image plane IP ofoptical system 37. Ray groups RG converge at image plane IP and arrive atdetector 60 in a divergent state. If the plane of the pupil (not shown) ofoptical system 37 is subdivided into a plurality of sections, ray groups RG that pass through the plurality of apertures 96 o onsecond Hartmann plate 96 respectively correspond to rays passing through each such section. As a result, the lateral aberration ofoptical system 37 can be determined if the position at which each of the ray groups RG arrives atdetector 60 is detected. The wavefront aberration ofoptical system 37 can then be determined from this lateral aberration using computer CU, as describe above. - Eleventh Embodiment
- Referring now to FIGS. 20a and 20 b, a seventh wavefront-aberration-measuring
interferometer 22Q in an eleventh embodiment according to a third aspect of the present invention is described. - Although a
light source 21 supplying light in the soft X-ray wavelength region was used as light source in the above-describedinterferometers 22N-22P in the seventh through tenth embodiments, it may be convenient to use an ordinary laser light source 41 (see FIG. 20a), not an X-ray source 21 (see FIGS. 16a and 19), when assembling and adjustingoptical system 37 at an ordinary factory. - FIG. 20a shows wavefront-aberration-measuring
interferometer 22Q of the tenth embodiment which uses a non-X-raylaser light source 41. FIGS. 20a-23 are intended to assist in explaining the principle of the eleventh embodiment. - Referring to FIG. 20a, in
interferometer 22Q,laser light source 41 supplies laser light of a prescribed wavelength. This laser light is split by abeam splitter 74 adjacentlight source 41. One of the beams b1 so split travels by way of two folding mirrors 35 a and 35 b to acondenser lens 39, and is guided tofirst pinhole plate 86 having a single pinhole 86 o. Firstpinhole plate 86 is arranged at the location of image plane IP ofoptical system 37. Pinhole 86 o is of a size smaller than the diameter of the Airy disk 0.6 λ/NA, where λ is the wavelength of the laser light and NA is the numerical aperture NA on the incident side (first pinhole plate 86 side) ofoptical system 37. Accordingly, a first ideal spherical wavefront is generated from pinhole 86 o offirst pinhole plate 86. - The first ideal spherical wavefront from
first pinhole plate 86 passes throughoptical system 37 and is guided to secondpinhole mirror plate 33 arranged at a position conjugate tofirst pinhole plate 86 byoptical system 37. - Referring to FIG. 20b, second
pinhole mirror plate 33 comprises an opticallytransparent substrate 33S,reflective surface 33R provided onsubstrate 33S, and aperture 33 o, which is a region whereinreflective surface 33R is not provided. Furthermore, aperture 33 o of secondpinhole mirror plate 33 is of a size smaller than the diameter of the Airy disk 0.6 λ/NA, where λ is the wavelength of the laser light and NA is the numerical aperture on the exit side (secondpinhole mirror plate 33 side) ofoptical system 37. - Returning again to FIG. 20a, light beam b2 produced by splitting at
beam splitter 74 travels by way of afolding mirror 35 c to pass through acondenser lens 49, and is then guided in a condensed state to the rear side of secondpinhole mirror plate 33R (i.e., the back thereof, if the side on whichreflective surface 33R is applied is taken as the front thereof, which is arranged in object plane OP ofoptical system 37. - Accordingly, a second ideal spherical wavefront will be generated at second
pinhole mirror plate 33 when light beam b2 from the rear side of secondpinhole mirror plate 33 passes through aperture 33 o. In addition, the light beam that passes throughoptical system 37 is reflected byreflective surface 33R of secondpinhole mirror plate 33. This reflected light has a wavefront corresponding in shape to the wavefront aberration ofoptical system 37. - The second ideal spherical wavefront from aperture33 o of second
pinhole mirror plate 33 and the reflected light fromreflective surface 33R of secondpinhole mirror plate 33 arrive atdetector 60 by way oflens 47, and form interference fringes ondetector 60. - The interference fringes on
detector 60 form a shape corresponding to the deviation from an ideal spherical wavefront of the wavefront that passes throughoptical system 37. The wavefront aberration ofoptical system 37 can be determined by analyzing these interference fringes using computer CU, as described above. - In FIGS. 20a and 20 b, which illustrate the principle of the wavefront-aberration-measuring
interferometer 22Q of the eleventh embodiment, one prescribed point in object plane OP (or image plane IP) ofoptical system 37 is used as the measurement point. If a plurality of measurement points are to be measured, then, referring briefly to FIG. 21a, firstpinhole array plate 61 wherein a plurality of pinholes 61 o are arranged in a prescribed array may be used in place offirst pinhole plate 86 of FIG. 20a. In addition, a second pinholemirror array plate 63 having a plurality of pinholes 63 o and a reflectiveinterstitial surface 63R may be used in place of secondpinhole mirror plate 33 shown in FIGS. 16a and 16 b. - Referring now to FIG. 22, an eighth wavefront-aberration-measuring
interferometer 22R, which is a variation on wavefront-aberration-measuringinterferometer 22Q of the eleventh embodiment wherein the wavefront aberration ofoptical system 37 can be measured at a plurality of measurement points, is described. In FIG. 22, elements similar in function to elements appearing in FIG. 20a have been given the same reference numerals as in FIG. 20a and description thereof will be omitted here for the sake of convenience. - Referring to FIG. 22 and
interferometer 22R, laser light of a prescribed wavelength fromlaser light source 41 is split bybeam splitter 74. One of the light beams b1 so split sequentially travels by way of foldingmirror 35 a tocondenser lens 39 provided oncondenser lens stage 66 capable of movement parallel to the image plane ofoptical system 37, thereafter arriving at firstpinhole array plate 61. - Referring back to FIG. 21a, first
pinhole array plate 61 has a plurality of pinholes 61 o arrayed in a matrix. The positions of the plurality of pinholes 61 o correspond to the positions of measurement points foroptical system 37. Furthermore, each of the plurality of pinholes 61 o is of a size smaller than the diameter of the Airy disk 0.6 λ/NA, where λ is the wavelength of the laser light and the NA is the numerical aperture on the incident side (firstpinhole array plate 61 side) ofoptical system 37. Accordingly, upon being illuminated, pinhole 61 o on firstpinhole array plate 61 will generate an ideal spherical wavefront. - Returning again to FIG. 22, as a result of moving
condenser lens stage 66, a desired pinhole 61 o on firstpinhole array plate 61 is selectively illuminated. Furthermore, the position at which the laser light isincident folding mirror 35 a mounted oncondenser lens stage 66 changes ascondenser lens stage 66 is moved. In addition, instead of one of pinholes 61 o, a plurality of pinholes 61 o may also be collectively illuminated. - With continuing reference to FIG. 22, the ideal spherical wavefront from first
pinhole array plate 61 passes throughoptical system 37, and is then guided to second pinholemirror array plate 63, located at a position conjugate to firstpinhole array plate 61 byoptical system 37. - Referring briefly again to FIG. 21b, second pinhole
mirror array plate 63 is provided with reflectiveinterstitial surface 63R arranged such that plurality ofpinholes 630 form a matrix, no such reflectiveinterstitial surface 63R being provided at the locations of pinholes 63 o. Furthermore, each of the plurality of pinholes 63 o of second pinholemirror array plate 63 is of a size smaller than the diameter of the Airy disk 0.6 λ/NA, where λ is the wavelength of the laser light and NA is the numerical aperture on the exit side (second pinholemirror array plate 63 side) ofoptical system 37. - Returning now to FIG. 22, light beam b2 produced by splitting at
beam splitter 74 sequentially travels by way ofoscillatory folding mirror 45 electrically connected to mirror oscillating unit MU, and then by way of foldingmirror 35 to acondenser lens 49, and is then guided in a condensed state to the rear side of second pinhole mirror array plate 63 (i.e., the side opposite from the side at which reflectiveinterstitial surface 63R is present), which is arranged in object plane OP ofoptical system 37. - Accordingly, an ideal spherical wavefront is generated at second pinhole
mirror array plate 63 when light beam b2 from the rear side of second pinholemirror array plate 63 passes through pinhole 63 o. In addition, when the light beam that passes throughoptical system 37 is reflected by reflectiveinterstitial surface 63R of second pinholemirror array plate 63, the reflected light will have a wavefront corresponding in shape to the wavefront aberration ofoptical system 37. - The ideal spherical wavefront from pinhole63 o of second pinhole
mirror array plate 63 and the light reflected by reflectiveinterstitial surface 63R of second pinholemirror array plate 63 arrive atdetector 60 by way of anotherfolding mirror 35 d andlens 47, and form interference fringes ondetector 60. - The interference fringes on
detector 60 form a shape corresponding to the deviation from an ideal spherical wavefront of the wavefront that passes throughoptical system 37. The wavefront aberration ofoptical system 37 can be determined by analyzing these interference fringes using computer CU, as discussed above. - In
interferometer 22R as a variation on the eleventh embodiment shown in FIG. 22,detector 60, along with the optical system which guides the light from second pinholemirror array plate 63 todetector 60, andcondenser lens 49 are mounted onDetector stage 68, which is capable of movement parallel to object plane OP ofoptical system 37.Detector stage 68 is constituted so that it is linked and moves withcondenser lens stage 66 discussed above, and only pinhole 63 o, corresponding to the illuminated pinhole 61 o, can be seen fromdetector 60. Accordingly, interference fringes are formed ondetector 60 due to interference between the light that passes throughoptical system 37 from illuminated pinhole 61 o and the diffracted light from pinhole 63 o on second pinholemirror array plate 63 corresponding to the illuminated pinhole 61 o. Accordingly, the wavefront aberration at the measurement point where the illuminated pinhole 61 o is positioned can be determined by analyzing these interference fringes. - Stable measurement can also be performed with
interferometer 22R in this variation on the eleventh embodiment shown in FIG. 22, without being affected by vibrations caused by the movement ofstages - With continuing reference to FIG. 22, first
pinhole array plate 61 is mounted on avertical stage 67, which is capable of causing firstpinhole array plate 61 to move in jogged (i.e., incremental) fashion in a direction parallel to the optical axis ofoptical system 37.Vertical stage 67 is secured to the same frame that supportsoptical system 37. In addition, second pinholemirror array plate 63 is mounted on anXY stage 69, which is capable of causing second pinholemirror array plate 63 to move in jogged fashion within object plane OP ofoptical system 37.XY stage 69 is attached to the abovementioned frame by way of a piezoelectric element. Furthermore, adjustment of focus can be performed by usingvertical stage 67 to move firstpinhole array plate 61. If there is distortion inoptical system 37,XY stage 69 can be used to align the position of pinhole 63 o. - Furthermore, a length measuring interferometer or other such microdisplacement sensor is preferably provided on
XY stage 69, permitting distortion inoptical system 37 to be measured based on the output from the microdisplacement sensor. Furthermore, in the present embodiment, the positions of the plurality of pinholes 61 o of firstpinhole array plate 61 and the plurality of pinholes 63 o of second pinholemirror array plate 63 are accurately measured beforehand using a coordinate measuring interferometer. - In addition,
oscillatory folding mirror 45 ininterferometer 22R in this variation on the eleventh embodiment shown in FIG. 22 is constituted so as to permit oscillation via mirror oscillation unit MU, the difference in lengths of the optical paths of the two beams produced bybeam splitter 74 changing in accordance with this oscillation. As a result, a fringe scan can be executed for high-precision measurement. - Referring to FIG. 23, wavefront-aberration-measuring
interferometer 22S is a comparative example for illustrating the advantage ofinterferometers Interferometer 22S of the comparative example shown in FIG. 23 employs anultraviolet laser 41 instead of the SOR undulator light source employed ininterferometer 22J shown in FIG. 10a. As previously mentioned, measurement accuracy increases as the wavelength of the light source of the wavefront-aberration-measuring interferometer is shortened. Since the wavelength of anultraviolet laser 41 is approximately 20 times longer than the working wavelength ofoptical system 37, the accuracy ofinterferometer 22S of the comparative example can be expected to be 20 times worse than that ofinterferometer 22J shown in FIG. 10a. - However, in
interferometers interferometer 22S of the comparative example shown in FIG. 23. Thus, ininterferometers - Method of Calibrating Aspheric-Shape-Measuring Interferometer
- FIG. 24 is a flowchart for assisting in describing a method for calibrating an aspheric-surface-shape measuring interferometer of the type shown in FIGS.1-7. In the course of this calibration, a wavefront-aberration-measuring interferometer of the type shown in FIGS. 10a-22 is used to verify the aspheric shape obtained using the aspheric-surface-shape measuring interferometer. This method or variations thereof can be applied to any of these interferometers for the sake of convenience, however, we take the example of calibration of aspheric-surface-
shape measuring interferometer 22H of the fourth embodiment shown in FIG. 7 using wavefront-aberration-measuringinterferometer 22J of the fifth embodiment shown in FIG. 10a. - Before executing step S1 in FIG. 24, the aspheric surface under
test 38 is first machined to a surface accuracy of approximately 10 nm RMS using well-known technology. - At step S1 in FIG. 24, the surface shape of the abovementioned
aspheric test surface 38 is measured usinginterferometer 22H of the fourth embodiment of the present invention shown in FIG. 7. Furthermore,interferometer 22H of the fourth embodiment may also be used starting from the time when the aspheric surface is first machined. When performingmeasurements using interferometer 22H, it is preferable to minimize asymmetric systematic errors (errors in reference surface 70) by collecting data at stepped angular rotations obtained by either rotatingtest surface 38 about the optical axis with respect toreference surface 70 in stepwise fashion orrotating reference surface 70 about the optical axis with respect to testsurface 38 in stepwise fashion, and averaging the data obtained. - At step S2, using the measurement data from step S1, corrective grinding is performed on the
aspheric surface 38 so as to make the shape ofaspheric test surface 38 conform to the design data. FIG. 25 shows a smalltool grinding apparatus 400 for performing this corrective grinding. Referring to FIG. 25, smalltool grinding apparatus 400 has grindinghead 406 provided with apolisher 410 that rotates, andcoil spring 414 that applies a prescribed pressure topolisher 414.Aspheric test surface 38 is ground as a result of application of a constant load in a direction normal toaspheric test surface 38 asoptical test element 36 is rotated. The amount of grinding is proportional to the dwell time of polisher 410 (i.e., the time that polisher 410 remains at a given position and grinds). Furthermore, the shape oftest surface 38 is measured usinginterferometer 22H shown in FIG. 7, just as was performed at step S1. If the result of measurement is that the measured aspheric shape differs from the design shape, the shape oftest surface 38 is again corrected using small tool grinding apparatus 82. By repeating this measurement and correction process, the measured aspheric shape and the design aspheric shape can be made to coincide. - At step S3,
optical element 36 havingtest surface 38 shaped as a result of the operations at step S2 is assembled in theoptical system 37 of which it is an optical component. - At step S4, the wavefront aberration of the
optical system 37 assembled in step S3 is measured. In connection with the measurement of this wavefront aberration, a PDI (point diffraction interferometer) employing an SOR (synchrotron orbital radiation) undulator light source, such as ininterferometer 22J shown in FIG. 10a, is used. Since the measurement wavelength ofinterferometer 22J is short, at about 13 nm, the wavefront aberration of the optical system can be measured with high precision, specifically to 0.13 nm RMS or better. The constitutions of exemplary interferometers which may be applied here are described under the fifth through eleventh embodiments of the present invention shown in FIGS. 10a-22. - At step S5, the causes of error in the wavefront aberration measured at step S4 is broken down into an alignment error component (for each aspheric surface) and a shape error component for each surface.
- Specifically, a computer uses, for example, known optical system automatic correction software, assigns the position of test surface38 (spacing, inclination and shift) and the shape of
test surface 38 as variables, initializes the measurement values of the wavefront aberration, and performs optimization so that the wavefront aberration approaches zero. The difference between the position and shape oftest surface 38 when optimized and the position and shape oftest surface 38 prior to optimization corresponds to the alignment error (positional error) and shape error, respectively. - At step S6, the alignment error calculated at step S5 is evaluated to determine whether it is sufficiently small. If it is not small enough, the flow operation proceeds to step S7 where the alignment error is adjusted. If it is small enough, the flow proceeds to step S8.
- At step S7, alignment of
optical element 36 inoptical system 37 is adjusted based on the alignment error calculated at step S5, following which flow returns to step S4. - Note that the sequence of operations between steps S4 and S7 are repeated until the alignment error calculated at step S5 is sufficiently small.
- At step S8, the difference between the shape error (shape error isolated by the most recent iteration of step S5) in the final wavefront aberration (wavefront aberration as determined by the most recent iteration of step S4) and the final measured aspheric surface shape data calculated in step S2 is calculated. This difference corresponds to the systematic error of aspheric-surface-shape-measuring
interferometer 22H. This error corresponds to the shape error of reference surface (Fizeau surface) 70 in the aspheric-surface-shape-measuring (Fizeau-type)interferometer 22H. - At step S9, the final aspheric surface shape data measured at step S2 is corrected by the amount of the systematic error calculated at step S8, and
test surface 38 is reworked using smalltool grinding apparatus 400 based on this corrected aspheric surface shape data. At this time,optical element 36 havingtest surface 38 is removed fromoptical system 37 of which it is a part before corrective grinding operations can be carried out. - After steps S1 through S9 have been executed,
optical system 37 is reassembled and the wavefront aberration is measured usinginterferometer 22J shown in FIG. 10a. The measured values are again separated into an alignment error component and a shape error component for each surface, and the surface error is verified to determine whether it is smaller than previously measured. - By numerous repetitions of the series of procedures including machining of
aspheric test surface 38, assembly inoptical system 37, measuring of wavefront aberration, and determining the systematic error in aspheric-surface-shape-measuringinterferometer 22H as described above, systematic errors in aspheric-surface-shape-measuringinterferometer 22H can be identified. Furthermore, if such errors are large (e.g., 2 nm RMS or greater), aspheric-surface-shape-measuringinterferometer 22H must itself be corrected (i.e., the surface shape ofaspheric reference surface 70 must be corrected). - If the measurement values during subsequent measurements and machining are continuously corrected by the amount of the systematic error in aspheric-surface-shape-measuring
interferometer 22H as calculated by this procedure and this then used as data during operations using the correctivegrinding apparatus 400, anaspheric surface 38 can be machined with good accuracy. - Since measurement accuracy, and in particular reproducibility, with aspheric-surface-shape-measuring
interferometer 22H of the fourth embodiment are excellent, the above-described calibration method is extremely effective. - Furthermore, should existence of systematic errors be confirmed thereafter as a result of wavefront aberration measurement based at the exposure wavelength or other such measurements performed during a production run, systematic error may be corrected at each such occasion so as to constantly approach design values.
- In addition, after machining the
aspheric surface 38 using the machining and measurement procedures based on the present invention,optical system 37 is assembled and a reflective film (not shown) must be applied to eachsurface 38 to be made reflective prior to measurement of the wavefront aberration. The shape ofsurface 38 may change under the influence of stress from the film when applying and removing (e.g., to perform corrective grinding) the reflective film. Although the reproducibility of this change should be less than 0.1 nm RMS, this is not attainable. Nevertheless, the majority of the surface change is second- and fourth-order components (power components and third-order spherical aberration components), and the higher-order components are small. Second-order and fourth-order surface change components can be compensated to a certain degree by adjusting the surface spacing. In other words, it is sufficient to ensure that the reproducibility of the surface changes associated only with higher-order components are held to 0.1 nm RMS or smaller. This can be accomplished by sufficient reduction of the stress from the film. - As described above, the present invention provides an aspheric-surface-shape measuring interferometer displaying good reproducibility, and moreover makes it possible to measure wavefront aberration with high precision. In addition, the present invention permits improvement in the absolute accuracy of precision surface measurements in an aspheric-surface-shape measuring interferometer. In addition, the present invention permits manufacture of a projection optical system having excellent performance.
- Adoption of the present invention also makes it possible to accurately verify the shape of a null wavefront, as well as the transmission characteristics of such a null wavefront, without the need to use a reflective standard. Moreover, adoption of an interferometer system according to the present invention makes it possible to calibrate an aspheric null element with high precision and in a short period of time.
- Furthermore, the wavefront-aberration-measuring interferometers of the fifth through eleventh embodiments of the present invention discussed above can be assembled as part of an exposure apparatus. In particular, when an SOR undulator of a wavelength which may be used for exposure is used as light source in a wavefront-aberration-measuring interferometers, as was the case in the fifth and sixth embodiments, this will be favorable since the light source unit can also serve as the exposure light source. When a laser plasma X-ray source of a wavelength which may be used for exposure in a wavefront-aberration-measuring interferometers, as was the case in the seventh through tenth embodiments, this will be favorable since the light source unit can also serve as the exposure light source. In addition, the wavefront-aberration-measuring interferometers of the eleventh embodiment of the present invention requires a laser light source to be furnished separate from the exposure light source. However, this laser light source can also serve as light source for an alignment system or as light source for an autofocus system in the exposure apparatus. In addition, in the wavefront-aberration-measuring interferometers of the fifth through eleventh embodiments of the present invention, when this light source is shared by the exposure apparatus,
detector 60 serving as detector may also be fashioned such that it is removable from the exposure apparatus. In this case, the wavefront aberration of projectionoptical system 37 can be measured by attaching such a removable unit to the exposure apparatus in the event that maintenance or the like is required. Consequently, there will be no need to provide a dedicated wavefront-aberration-measuring interferometer for each and every exposure apparatus, permitting reduction in the cost of the exposure apparatus. - In addition, while
detector 60 has been adopted as detector in the fifth through tenth embodiments of the present invention discussed above, a member having a function that converts emitted light in the soft X-ray region to visible light (for example, a fluorescent plate) may be provided at the position of thedetector 60 and used in place thereof, and the visible light from this member may be detected by a detector such as a CCD. - Furthermore, the embodiments of the present invention discussed above describe a manufacturing method of a projection
optical system 37 in the context of an exposure apparatus that uses soft X-rays of wavelength around 10 nm as exposure light, wavefront-aberration-measuring interferometers ideally suited to the measurement of the wavefront aberration of this projectionoptical system 37, surface-shape-measuring interferometers ideally suited to measurement of the surface shape of a reflective surface in this projectionoptical system 37, and a calibration method for such an interferometer. However, the present invention is not limited to this soft X-ray wavelength. For example, the present invention can be applied to a projection optical system or wavefront-aberration-measuring interferometer for hard X-rays of wavelength shorter than soft X-rays, and to a surface-shape-measuring interferometer that measures the surface shape of an optical element of a hard X-ray projection optical system, and can also be applied to the vacuum ultraviolet region (100 to 200 nm) of wavelength longer than soft X-rays. Furthermore, measurement and manufacturing of a precision much greater than hitherto possible becomes possible if the present invention is applied to a vacuum-ultraviolet projection optical system or wavefront-aberration-measuring interferometer, or to surface shape measurement of an optical element in a vacuum-ultraviolet projection optical system. - Thus, the present invention is not to be limited by the specific modes for carrying out the invention described above. In particular, while the present invention has been described in terms of several aspects, embodiments, modes, and so forth, the present invention is not limited thereto. In fact, as will be apparent to one skilled in the art, the present invention can be applied in any number of combinations and variations without departing from the spirit and scope of the invention as set forth in the appended claims, and it is intended to cover all alternatives, modifications and equivalents as may be included within the spirit and scope of the invention as defined in the appended claims.
Claims (38)
1. An interferometer capable of measuring a surface shape of a target surface as compared to a reflector standard, comprising:
a. a light source capable of generating a light beam;
b. a reference surface arranged downstream of said light source for reflecting said light beam so as to form a reference wavefront;
c. a null element arranged downstream of said reference surface for forming a desired null wavefront from said light beam and arranged such that said null wavefront is incident the target surface so as to form a measurement wavefront and is incident the reflector standard when alternately arranged in place of the target surface so as to form a reflector standard wavefront; and
d. a detector arranged so as to detect interference fringes caused by interference between said measurement wavefront and said reference wavefront taking into account said reflector standard wavefront.
2. An interferometer according to , wherein:
claim 1
a. the target surface is an aspheric surface; and
b. said detector measures the shape of said measurement wavefront over a desired range by analyzing a plurality of interference fringe patterns representing different subregions of said measurement wavefront which are obtained by changing the positional relationship between said measurement wavefront and said reflector standard.
3. An interferometer capable of measuring a surface shape of a target surface as compared to a reflector standard, comprising:
a. a point light source formed by irradiating a reflective surface so as to form an outgoing spherical wave;
b. a reference surface arranged downstream of said point light source for reflecting light from said light source so as to form a reference wavefront;
c. a null element arranged downstream of said reference surface for forming a desired null wavefront and arranged such that said null wavefront is incident the target surface so as to form a measurement wavefront, and the reflector standard alternately arranged in place of the target surface so as to form a reflector standard wavefront;
d. wherein said null wavefront is determined by reflecting and folding said measurement wavefront from said reflector standard by said reflecting surface, causing said measurement wavefront to interfere with said reference wavefront thereby causing interference; and
e. a detector arranged so as to detect interference fringes caused by said interference.
4. An interferometer according to , wherein:
claim 3
a. the target surface is an aspheric surface; and
b. said detector measures the shape of said measurement wavefront over a desired range by analyzing a plurality of interference fringe patterns representing different subregions of said measurement wavefront which are obtained by changing the positional relationship between said measurement wavefront and said reflector standard.
5. An interferometer capable of measuring a surface shape of a target surface as compared to a reflector standard, comprising:
a. a point light source having a reflective surface, for forming an outgoing spherical wavefront, and that is alternately arrangeable in placed of the target surface;
b. a reference surface arranged downstream of said point light source for reflecting light from said light source so as to form a reference wavefront;
c. a null element arranged downstream of said reference surface for forming a desired null wavefront and arranged such that said null wavefront is incident the target surface so as to form a measurement wavefront, and the reflector standard alternately arranged in place of the target surface so as to form a reflector standard wavefront;
d. wherein said null wavefront is determined by passing said spherical wavefront from said point light source through said null element and performing an interferometric measurement; and
e. a detector arranged so as to detect interference fringes created by the interference between said measured wavefront and said reference wavefront, taking into account said null wavefront.
6. An interferometer capable of measuring a surface shape of a target surface as compared to a reflector standard, comprising:
a. a point light source formed by irradiating a reflective surface so as to form an outgoing spherical wave;
b. a reference surface arranged downstream of said point light source for reflecting light from said light source so as to form a reference wavefront;
c. a null element arranged downstream of said reference surface for forming a desired null wavefront and arranged such that said null wavefront is incident the target surface so as to form a measurement wavefront, and the reflector standard alternately arranged in place of the target surface so as to form a reflector standard wavefront;
d. wherein said null wavefront is determined by passing said spherical wavefront from said point light source arranged in place of the target surface through said null element and performing an interferometric measurement; and
e. a detector arranged so as to detect interference fringes created by the interference between said measured wavefront and said reference wavefront, taking into account said null wavefront.
7. A method of manufacturing a projection optical system capable of projecting a pattern from a reticle onto a photosensitive substrate, comprising the steps of:
a. measuring a shape of a test surface of an optical element that is a component of the projection optical system by causing interference between light from said test surface and light from an aspheric reference surface while said test surface and said aspheric reference surface are held integrally and in close proximity to one another;
b. assembling said optical element in the projection optical system and measuring the wavefront aberration of the projection optical system;
c. determining an amount by which said shape of said test surface should be corrected based on said measured wavefront aberration obtained in said step b; and
d. correcting said shape of said test surface based on said amount by which said shape of said test surface should be corrected as determined in said step c.
8. A method according to , wherein:
claim 7
a. said step c further includes the step of calculating an error in said shape of said test surface as measured in said step a, based on said measured wavefront aberration obtained in said step b; and
b. said amount by which said shape of said test surface should be corrected is determined from said calculated error, said measured wavefront aberration and said shape of said test surface.
9. A method according to , wherein:
claim 7
a. said step of calculating an error in said shape of said test surface includes separating said measured wavefront aberration into an test surface positional error component, a test surface shape error component, and a residual component when said positional error component is substantially corrected; and
b. wherein error in said surface shape is calculated based on a component in said residual component attributable to said shape error component and said shape of said test surface.
10. A Fizeau interferometer for measuring the shape of an optical surface of an optical element, comprising:
a. a light source for forming a light beam along an optical path;
b. an aspherical reference surface arranged in said optical path downstream from said light source;
c. a null element arranged in an said optical path; and
d. a holding member that holds said reference surface and the optical surface as a single unit such that said reference surface and the optical surface are brought close together so that light from said reference surface and the optical surface interferes.
11. An interferometer according to , further including a main body unit that supplies light to said reference surface and said optical surface, and that causes the interference of light that travels via said reference surface and the light that travels via said optical surface, and wherein said holding member and said main body unit are spatially separated.
claim 10
12. An interferometer according to , wherein said reference surface and the optical surface are separated by a spacing that is less than 1 mm.
claim 10
13. An interferometer according to , wherein said reference surface and the optical surface are separated by a spacing that is variable.
claim 10
14. An interferometer according to , further including a position detection system that detects the positional relationship between said reference surface and the optical surface.
claim 10
15. An interferometer according to , wherein said reference surface and the optical surface are separated by a fixed spacing that is less than 10 μm.
claim 10
16. An apparatus for measuring wavefront aberration of an optical system having an object plane and an image plane, comprising:
a. a light source for supplying light of a predetermined wavelength.
b. a first pinhole member capable of forming a first spherical wavefront from said light arranged at one of said object plane and said image plane, said first pinhole member having a plurality of first pinholes arrayed in two dimensions along a surface perpendicular to an optical axis of the optical system;
c. a second pinhole member arranged at the opposite one of said object plane and said image plane of said first pinhole member, said second pinhole member having a plurality of second pinholes arrayed at a position corresponding to the imaging position where said plurality of first pinholes is imaged by said optical system;
d. a diffraction grating arranged in the optical path between said first and second pinhole members;
e. a diffracted light plate member that selectively transmits diffracted light of one or more higher predetermined diffraction orders associated with said diffraction grating; and
f. a detector arranged to detect interference fringes arising from the interference between a second spherical wavefront generated by a zeroeth diffraction order passing through said second pinhole member and said one or more higher predetermined diffraction orders passing through said diffracted light plate member.
17. An apparatus according to , wherein said light source is one among the group of light sources consisting of: synchrotron, laser and laser plasma X-ray.
claim 16
18. An apparatus according to , wherein:
claim 17
a. said light source is a laser plasma X-ray source; and
b. said first plurality of pinholes comprises pinhole groups comprising a plurality of pinholes.
19. An apparatus according to , wherein said plurality of pinholes in said pinhole groups is arrayed along a predetermined one-dimensional direction.
claim 18
20. An apparatus according to , wherein said plurality of pinholes has an array pitch that is 10 to 25 times the Airy disk radius determined by the numerical aperture on said first pinhole side of the optical system and said predetermined wavelength.
claim 19
21. An apparatus according to , wherein said plurality of pinholes constituting said pinhole group each has a slit-shaped aperture extending in a predetermined one-dimensional direction.
claim 18
22. An apparatus according to , further including:
claim 16
a. first selective illumination means for selectively illuminating a first portion of said plurality of first pinholes of said first pinhole member; and
b. selective light receiving means for selectively receiving said second spherical wavefront from a second portion of said plurality of second pinholes corresponding to said first portion, and diffracted light of said predetermined order that passes through said second portion.
23. An apparatus according to , further including a fringe scanning means for moving said diffraction grating so as to perform fringe scanning.
claim 16
24. An apparatus for measuring wavefront aberration of an optical system having an object plane and an image plane, comprising:
a. a light source for supplying coherent light;
b. a beam splitter that splits said coherent light into first and second light beams each having an associated optical path length;
c. a first pinhole member, arranged in one of the object plane and image plane, that uses said first light beam to generate a first spherical wave;
d. a pinhole mirror having a plurality of apertures arrayed two-dimensionally in the opposite one of the object plane and the image plane where said first pinhole member is arranged, that transmits said second beam, and a reflective portion that reflects said first light beam from said optical system; and
e. wherein the wavefront aberration of the optical system is calculated based on interference fringes generated by interference arising from a second spherical wave generated by said plurality of apertures of said pinhole mirror based on said second light beam, and said first light beam reflected by said reflective portion of said pinhole mirror.
25. An apparatus according to , further including a fringe scanning means that changes at least one of said optical path lengths of said first and second light beams.
claim 24
26. An apparatus for measuring wavefront aberration of an optical system having an image plane and an object plane, comprising:
a. a laser plasma X-ray light source;
b. a first pinhole member provided with a first pinhole group comprising a plurality of first pinholes that generates a plurality of first spherical waves based on said light;
c. a second pinhole member provided with a second pinhole group comprising a plurality of second pinholes arranged at the imaging position where said first pinhole member is imaged by the optical system;
d. a diffraction grating arranged in the optical path between said first and second pinhole members, and arranged so that zeroeth order diffracted light passing through said first pinhole group reaches said second pinhole group.
e. diffracted light selection means for selectively transmitting diffracted light of a predetermined order from among diffracted light of first order and higher order from said diffraction grating; and
f. a detector for detecting interference fringes obtained by interference of a second spherical wave generated by said zeroeth order diffracted light passing through said second pinhole group, and said diffracted light of said predetermined order passing through said diffracted light selection means.
27. An apparatus according to , wherein:
claim 26
a. said first pinhole member includes a plurality of first slit groups;
b. said second pinhole member includes a plurality of said second pinhole groups arranged corresponding to the imaging position where said plurality of first pinhole groups is imaged by the optical system; and
c. said diffracted light selection means is a plate having a plurality of apertures for selectively transmitting said plurality of diffracted light of a predetermined order generated by passing through said diffraction grating a plurality of light beams proceeding to a plurality of imaging positions.
28. An apparatus according to , further including:
claim 27
a. first selective illumination means for selectively illuminating a first portion of said plurality of first pinholes of said first pinhole member; and
b. selective light receiving means for selectively receiving said second ideal spherical wavefront from a second portion of said plurality of second pinholes corresponding to said first portion, and diffracted light of said predetermined order that passes through said second portion.
29. An apparatus according to , further including a second selective illumination means for selectively illuminating said portion of said second pinhole groups from among said plurality of second pinhole groups.
claim 27
30. An apparatus for measuring wavefront aberration in an optical system having an image plane and an object plane, comprising:
a. a laser plasma X-ray light source capable of generating X-ray light;
b. a first slit member provided with a first slit group comprising a plurality of first slits that generates a plurality of first one-dimensional spherical waves based on said X-ray light from said light source;
c. a second slit member provided with a second slit group comprising a plurality of second slits arranged at an imaging position where said first slit member is imaged by the optical system;
d. a diffraction grating arranged in the optical path between said first and second slit members, and arranged so that a zeroeth order diffracted light of said X-ray light passing through said first slit group reaches said second slit group;
e. diffracted light selection means for selectively transmitting diffracted X-ray light of non-zero order; and
f. a detector that detects interference fringes arising from interference between a second one-dimensional spherical wave generated when said zeroeth order X-ray light passes through said second slit group, and of said non-zeroeth order diffracted X-ray light passing through said diffracted light selection means.
31. An apparatus according to , wherein:
claim 30
a. said first slit member includes a plurality of said first slit groups;
b. said second slit member includes a plurality of second slit groups arranged corresponding to a plurality of imaging positions where said plurality of first slit groups is imaged by the optical system; and
c. said diffracted light selection means has a plurality of apertures for selectively transmitting a plurality of diffracted X-ray light generated by passing through said diffraction grating a plurality of light beams proceeding to said plurality of imaging positions.
32. An apparatus according to , further including:
claim 31
a. first selective illumination means for selectively illuminating a first portion of said plurality of first slit groups; and
b. selective light receiving means for selectively receiving said second one-dimensional spherical wavefront from a second portion of said plurality of second slit groups corresponding to said first portion, and diffracted light of said predetermined order that passes through said second portion.
33. An apparatus according to , further including a second selective illumination means for selectively illuminating said portion of said second slit from among said plurality of second slit groups.
claim 32
34. An apparatus for measuring wavefront aberration in an optical system, comprising:
a. a laser plasma X-ray light source for generating X-ray light;
b. a slit member provided with a first slit group comprising a plurality of slits that generates a plurality of one-dimensional spherical waves based on said light from said light source;
c. a diffraction grating arranged in the optical path between said slit member and an imaging position where said slit member is imaged by the optical system, and that generated diffracted light from light passing therethrough;
d. diffracted light selection means for selectively transmitting diffracted light of a predetermined order and diffracted light of an order different than said predetermined order; and
e. a detector arranged so as to detect interference fringes from interference between said diffracted light of a predetermined order and said diffracted light of an order different than said predetermined order to allow the calculation of the wavefront aberration from said interference fringes.
35. An apparatus for measuring wavefront aberration in an optical system having an incident-side numerical aperture NA, an object plane and an image plane, the apparatus comprising:
a. an X-ray light source for generating X-ray light having a wavelength λ;
b. a first pinhole plate having an aperture smaller than 0.6 λ/NA arranged at the object plane;
c. a Hartmann plate arranged between said first pinhole plate and the image plane, said Hartmann plate having a plurality of apertures;
d. a detector arranged adjacent said image plane so as to detect a position of a plurality of ray groups passing through said plurality of apertures of said Hartmann plate; and
e. wherein the wavefront aberration is calculated based on said position of said plurality of ray groups that drive on said detector.
36. An apparatus according to , wherein said Hartmann plate is arranged between the optical system and the image plane.
claim 35
37. An apparatus according to , further including:
claim 36
a. first selective illumination means for selectively illuminating a portion of slit groups from among said plurality of slit groups;
b. detector position changing means that changes the detection position of said detector so as to detect said ray group based on light passing through said portion of slit groups, wherein said slit member is provided with a plurality of said slit groups.
38. An interferometer calibration method for measuring a surface shape of an optical element of an optical system, the method comprising the steps of:
a. interferometrically measuring the surface shape of the optical element to obtain a surface shape measurement value;
b. assembling the optical system by including the optical element in the optical system;
c. measuring a wavefront aberration of the optical system;
d. separating said wavefront aberration into a component corresponding to positional error of the surface shape and a component corresponding to surface shape error;
e. correcting said positional error component and calculating said surface shape error component; and
f. correcting said surface shape measurement value using said surface shape error component as calculated in said step e.
Priority Applications (3)
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US09/870,734 US6456382B2 (en) | 1998-09-22 | 2001-06-01 | Interferometer that measures aspherical surfaces |
US10/217,015 US6765683B2 (en) | 1998-09-22 | 2002-08-13 | Interferometer system and method of manufacturing projection optical system using same |
US10/461,379 US20030215053A1 (en) | 1998-09-22 | 2003-06-16 | Interferometer system and method of manufacturing projection optical system using same |
Applications Claiming Priority (6)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
JP10268582A JP2000097666A (en) | 1998-09-22 | 1998-09-22 | Interferometer for measuring shape of surface, wavefront aberration measuring machine, manufacture of projection optical system using this interferometer and machine, and method for calibrating this interferometer |
JP10268793A JP2000097623A (en) | 1998-09-22 | 1998-09-22 | Interferometer |
JP10-268582 | 1998-09-22 | ||
JP10-268793 | 1998-09-22 | ||
US09/401,552 US6312373B1 (en) | 1998-09-22 | 1999-09-22 | Method of manufacturing an optical system |
US09/870,734 US6456382B2 (en) | 1998-09-22 | 2001-06-01 | Interferometer that measures aspherical surfaces |
Related Parent Applications (1)
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US09/401,552 Division US6312373B1 (en) | 1998-09-22 | 1999-09-22 | Method of manufacturing an optical system |
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US10/217,015 Division US6765683B2 (en) | 1998-09-22 | 2002-08-13 | Interferometer system and method of manufacturing projection optical system using same |
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US20010028462A1 true US20010028462A1 (en) | 2001-10-11 |
US6456382B2 US6456382B2 (en) | 2002-09-24 |
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US09/401,552 Expired - Fee Related US6312373B1 (en) | 1998-09-22 | 1999-09-22 | Method of manufacturing an optical system |
US09/870,734 Expired - Fee Related US6456382B2 (en) | 1998-09-22 | 2001-06-01 | Interferometer that measures aspherical surfaces |
US10/217,015 Expired - Fee Related US6765683B2 (en) | 1998-09-22 | 2002-08-13 | Interferometer system and method of manufacturing projection optical system using same |
US10/461,379 Abandoned US20030215053A1 (en) | 1998-09-22 | 2003-06-16 | Interferometer system and method of manufacturing projection optical system using same |
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US10/217,015 Expired - Fee Related US6765683B2 (en) | 1998-09-22 | 2002-08-13 | Interferometer system and method of manufacturing projection optical system using same |
US10/461,379 Abandoned US20030215053A1 (en) | 1998-09-22 | 2003-06-16 | Interferometer system and method of manufacturing projection optical system using same |
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1999
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2001
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-
2002
- 2002-08-13 US US10/217,015 patent/US6765683B2/en not_active Expired - Fee Related
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2003
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Also Published As
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US20020191195A1 (en) | 2002-12-19 |
US6312373B1 (en) | 2001-11-06 |
US6456382B2 (en) | 2002-09-24 |
US6765683B2 (en) | 2004-07-20 |
US20030215053A1 (en) | 2003-11-20 |
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