CA2284602C - Interferometer tunable in a non-mechanical manner by a pancharatnam phase - Google Patents

Interferometer tunable in a non-mechanical manner by a pancharatnam phase Download PDF

Info

Publication number
CA2284602C
CA2284602C CA002284602A CA2284602A CA2284602C CA 2284602 C CA2284602 C CA 2284602C CA 002284602 A CA002284602 A CA 002284602A CA 2284602 A CA2284602 A CA 2284602A CA 2284602 C CA2284602 C CA 2284602C
Authority
CA
Canada
Prior art keywords
interferometer
analyzer
reference surface
test specimen
polarization
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Expired - Fee Related
Application number
CA002284602A
Other languages
French (fr)
Other versions
CA2284602A1 (en
Inventor
Wolfgang Dultz
Leonid Beresnev
Bernhard Hils
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Deutsche Telekom AG
Original Assignee
Deutsche Telekom AG
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Deutsche Telekom AG filed Critical Deutsche Telekom AG
Publication of CA2284602A1 publication Critical patent/CA2284602A1/en
Application granted granted Critical
Publication of CA2284602C publication Critical patent/CA2284602C/en
Anticipated expiration legal-status Critical
Expired - Fee Related legal-status Critical Current

Links

Classifications

    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B9/00Measuring instruments characterised by the use of optical techniques
    • G01B9/02Interferometers
    • G01B9/02055Reduction or prevention of errors; Testing; Calibration
    • G01B9/02056Passive reduction of errors
    • G01B9/02057Passive reduction of errors by using common path configuration, i.e. reference and object path almost entirely overlapping
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B9/00Measuring instruments characterised by the use of optical techniques
    • G01B9/02Interferometers
    • G01B9/02001Interferometers characterised by controlling or generating intrinsic radiation properties
    • G01B9/02011Interferometers characterised by controlling or generating intrinsic radiation properties using temporal polarization variation
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B2290/00Aspects of interferometers not specifically covered by any group under G01B9/02
    • G01B2290/70Using polarization in the interferometer

Landscapes

  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Instruments For Measurement Of Length By Optical Means (AREA)
  • Investigating, Analyzing Materials By Fluorescence Or Luminescence (AREA)
  • Investigating Or Analysing Materials By Optical Means (AREA)
  • Spectrometry And Color Measurement (AREA)

Abstract

The object of the invention is to create an improved interferometer which does not require a drive mechanism for moving a reference surface or test specimen in order to tune the interferometer and which can be tuned in virtually vibration-free manner, thereby preventing measuring errors. For this purpose, the interferometer (10) comprises at least one light source, a reference surface (40), a test specimen (50) and at least one beam splitter (30). For vibration-free tuning, the interferometer (10) further contains an apparatus (60, 70) for the polarization of the.interference beams such that, at the output of the interferometer (10), they have different polarization states with respect to each other; and an analyzer (80), disposed at the output of the interferometer (10), with a polarization state variable in predetermined manner, said analyzer (80) - depending on its polarization state - introducing a defined Pancharatnam phase into the interference beams for tuning the interferometer (10).

Description

Interferometer The invention relates to an interferometer, in particular for the measurement of optical surfaces.
A conventional two-beam interferometer is used to measure optical surfaces in that it generates at the output an interference fringe pattern of the optical surface and supplies said pattern, for example, to a video camera for further processing. The light reflected by the optical surface, known also as a test wave field, contains aberrations because of lens errors and surface roughnesses at the surface being measured, said aberrations being imaged by the interference fringe pattern. The local position of the deviations of the interference fringe pattern from an ideal fringe pattern (e. g. parallel fringes) correlates with the local position of the aberration in the test wave field and thus with the deviations of the optical test surface, for example, with respect to an ideally flat surface. Such a displacement of the interference fringe pattern because of aberrations may have a considerably adverse effect on the measuring sensitivity, because the fringe deformation, e.g.
in the pattern maxima and minima, is not able to image the deformation of the test wave field as accurately as in the regions with high intensity gradients. Therefore, it is desirable to be able to displace the interference fringe pattern in a defined manner in order to improve the measuring accuracy. For this purpose, the reference surface or the test specimen itself has hitherto been moved or tilted in order to introduce an additional phase gradient into the interference beams and thus into the interference fringe pattern. In this manner it is also possible to obtain unambiguous information about the aberration of the test wave field, this subsequently allowing the elimination of errors e.g. in a flat test surface. However, the movement of large and heavy test specimens or reference surfaces introduces further inaccuracies into the interferometer.
Embodiments of the invention, therefore, create an improved interferometer which does not require a drive mechanism for moving a reference surface or test specimen in order to tune the interferometer and which can be tuned in virtually vibration-free manner, thereby preventing measuring errors.
Accordingly, in one aspect of the present invention, there is provided a tunable interferometer, in particular for the measurement of optical surfaces, comprising: at least one light source, a reference surface and a test specimen and at least one beam splitter, an apparatus for the polarization of the interference beams such that, at the output of the interferometer, they have different polarization states with respect to each other;
and an analyzer, disposed at the output of the interferometer, with a polarization state variable in predetermined manner for tuning the interferometer, the analyzer being physically separate from the interferometer.
In some embodiments, the interferometer is a two-beam interferometer; and linearly polarized light is present at the input of the interferometer; and the polarization apparatus comprises a first ~/4 retardation plate, associated with the reference surface or with the test specimen, and a second ~/4 retardation plate, positioned before the analyzer.
In some embodiments, the analyzer is a rotatable linear analyzer.

2a In some embodiments, the analyzer comprises an electrically tunable liquid crystal element with a linear polarizer.
In some embodiments, the analyzer is physically separate from the interferometer.
The principal idea behind the invention consists in making available a tunable interferometer without it being necessary for the reference surface or test specimen to be moved in order to tune the interferometer. Usually, the tuning of an interferometer means changing the optical path of one of the arms of the interferometer by moving or tilting the reference surface or test specimen, this introducing a defined phase into the interferometer. In contrast thereto, tuning in the sense of the invention means that a defined phase, the so-called Pancharatnam phase, is introduced into the interferometer, there being, however, no change in the relative position between the reference surface and the test specimen. The phenomenon of the Pancharatnam phase is known and is described in detail in the paper "Pancharatnams Phase in Polarisation Optics", published in Advanced Electromagnetism, T. Barratt et al., Editors Singapore, pages 357-375 by W. Dultz et al.
The interferometer comprises at least one light source, a reference surface and a test specimen as well as at least one beam splitter. The interferometer further contains an apparatus for the polarization of the interference beams such that, at the output of the interferometer, they have different polarization states.
Disposed at the output of the interferometer is an analyzer with a polarization state variable in predetermined manner for tuning the interferometer. Depending on the polarization state of the analyzer, an additional phase, the so-called Pancharatnam phase, is introduced into the interference beams of different polarizations, the result being that the interference fringe pattern, imaging the test specimen, is displaced by a predetermined distance.
A linear relationship between the degree of displacement of the fringe pattern and the position of the analyzer is obtained if, in a two-beam interferometer, the interference beams are polarized orthogonally with respect to each other. This is achieved in that, first, a linearly polarized light, preferably laser light, is present at the input of the interferometer, and in that the polarization apparatus comprises a first ~/4 retardation plate, associated with the reference surface or with the test specimen, and a second ~/4 retardation plate, positioned before the analyzer.
The first retardation plate ensures that the light beams reflected by the reference surface and by the test specimen are polarized orthogonally with respect to each other. The second retardation plate converts the two beams into a left-circularly polarized beam and a right-circularly polarized beam.
The analyzer may be a rotatable linear analyzer or an electrically tunable liquid-crystal element with a linear polarizer.
In order to afford the interferometer additional protection against vibration during tuning, the interferometer and the analyzer may be physically separate, i.e. even installed in different locations.
Herein below, the invention is described in greater detail with reference to an example embodiment in connection with the drawing.
The drawing shows a two-beam interferometer 10 at the input of which is a linearly polarized laser light which has previously passed through a linear polarizer 20. The linear polarizer 20 is followed by a known beam splitter 30 which splits the incident light into at least two components. In the present example, a reference surface 40 is placed in the optical path which passes the beam splitter 30. With respect to the light beam which passes 5 through the beam splitter 30, there is an optical test specimen 50 after the reference surface 40. Let it be assumed that the reference surface 40 is a flat glass plate of such properties that it transmits 950 of the incident light and reflects 50 of the incident light back to the beam splitter 30. In the present example, the test specimen 50 is likewise represented by a glass plate which, in turn, reflects 50 of the incident light and transmits 95o thereof.
Disposed between the reference surface 40 and the test specimen 50 is a ~/4 plate 60, referred to below, for the sake of simplicity, as retardation plate 60. Let it be emphasized that the described relative position between the reference surface 40, the retardation plate 60 and the test specimen serves merely as an example. A second ~/4 plate 70, referred to below, for the sake of simplicity, as retardation plate 70, is disposed in the interferometer 10 in such a manner that the light beams reflected by the reference surface 40 and the test specimen 50 and deflected by the beam splitter 30 are able to pass through the retardation plate 70. A rotatable linear analyzer 80 is positioned after the retardation plate 70, with the result that the interference beams which pass through the retardation plate 70 strike the analyzer 80. The analyzer 80 is followed, for example, by a video camera (not shown) which records the interference fringe pattern supplied by the interferometer 10 at the output.
In the following, the operating principle for tuning the interferometer 10 is described in greater detail.
Let it be emphasized once again that conventional interferometers are tuned in that the reference surface 40 or the test specimen 50 has to be moved or tilted. However, the interferometer 10 according to the invention can be tuned without it being necessary to move the reference surface 40 or the test specimen. In other words, the relative position between the reference surface 40 and the test specimen 50 remains unchanged. This is achieved by the invention in that the interference beams - i.e. the beams reflected by the reference surface 40 and the test surface 50 - have different polarization states. Let it be assumed that the light passing the linear polarizer 20 is polarized in the direction of the arrow, i.e. vertically.
The vertically polarized light strikes the beam splitter 30 and half of it, for example, is reflected to the outside, the other half passing through the beam splitter 30. The vertically polarized light first strikes the reference surface 40, on which 50 of the light is reflected. The proportion that penetrates the reference surface 50 passes through the retardation plate 60, as a result of which the vertically polarized light undergoes right-circular polarization. If this light strikes the test surface 50, the reflected light is left-circularly polarized. The light reflected from the test surface 50 passes the retardation plate 60 again. Having again passed the retardation plate 60, the light once again has a linear polarization which, however, is orthogonal with respect to the polarization of the light reflected from the reference surface 40. The two reflected interference beams with polarizations orthogonal with respect to each other strike, in turn, the beam splitter 30, which deflects half of the light intensity to the retardation plate 70. In the retardation plate 70, the two interference beams undergo circular polarization, one of the beams being right-circularly polarized and the other left-circularly polarized. Owing to this polarization state of the interference beams and the rotatable linear analyzer 80, there is a linear relationship between the displacement of the interference fringe pattern at the output of the interferometer 10 and the rotation angle of the linear analyzer 80. In order to tune the interferometer 10, the linear analyzer 80 is simply rotated in a predetermined manner, as a result of which the so-called Pancharatnam phase is introduced into the interferometer 10, said Pancharatnam phase causing the linear displacement of the interference fringe pattern. The rotation angle by which the linear analyzer 80 has to be rotated in order to cause a predetermined displacement of the interference fringe pattern can be accurately determined if use is made of the Poincare sphere, which is known. The polarization states of the interference beams are on the poles of the Poincare sphere, the linear analyzer 80 moving on the equator when it is rotated. The phase which is in this manner inserted into the interferometer 10 is y=~ ~(A, R, L, P) when ~ is the spherical excess of the spherical lune A, R, P, L, A on the Poincare sphere. Therein, A is the linear polarization state of the light at the input of the interferometer 10.
R and L, respectively, stand for the right- and left-circular polarization states of the two interference beams.
The right- R and left- L circular polarization states of the two interference beams are achieved, as already mentioned, by the retardation plates 60 and 70. The right- and left-circularly polarized light (R, L) is, as already mentioned, present at the output of the retardation plate 70. With the aid of the rotatable linear analyzer 10, the Pancharatnam phase y, which is proportional to the rotation angle of the analyzer 80, is introduced between the left- and right-circularly polarized beams at the output of the interferometer. Through the defined rotation of the analyzer 80, the Pancharatnam phase is changed in predetermined manner and the interference fringes, recorded by the video camera, are displaced as if the reference surface 40 or the test surface 50 had been displaced.
Instead of a rotatable linear analyzer 80 it is possible to employ a known electrically tunable liquid-crystal element with a linear polarizes. Particularly preferred is an electrically rotatable ~/2 retardation plate of the kind producible using modern liquid-crystal techniques. With such retardation plates which operate very quickly, the axial orientation is rotated with the electric voltage.
The interferometer 10 can be tuned with all processes in which the two beams are differently polarized.
However, the tuning is only linear, i.e. predictable, if the polarizations of the beams reflected from the reference surface 40 and the test specimen 50 are orthogonal and if the analyzer moves on the symmetrically intermediate great circle on the Poincare sphere.

Claims (4)

CLAIMS:
1. A tunable interferometer, in particular for the measurement of optical surfaces, comprising:
at least one light source, a reference surface and a test specimen and at least one beam splitter, an apparatus for the polarization of the interference beams such that, at the output of the interferometer, they have different polarization states with respect to each other;
and an analyzer, disposed at the output of the interferometer, with a polarization state variable in predetermined manner for tuning the interferometer, the analyzer being physically separate from the interferometer.
2. The interferometer according to claim 1, wherein the interferometer is a two-beam interferometer; and linearly polarized light is present at the input of the interferometer; and the polarization apparatus comprises a first .lambda./4 retardation plate, associated with the reference surface or with the test specimen, and a second .lambda./4 retardation plate, positioned before the analyzer.
3. The interferometer according to claim 1 or 2, wherein the analyzer is a rotatable linear analyzer.
4. The interferometer according to claim 1 or 2, wherein the analyzer comprises an electrically tunable liquid-crystal element with a linear polarizer.
CA002284602A 1997-05-15 1998-04-28 Interferometer tunable in a non-mechanical manner by a pancharatnam phase Expired - Fee Related CA2284602C (en)

Applications Claiming Priority (3)

Application Number Priority Date Filing Date Title
DE19720246A DE19720246C2 (en) 1997-05-15 1997-05-15 Tunable interferometer
DE19720246.2 1997-05-15
PCT/EP1998/002494 WO1998051992A1 (en) 1997-05-15 1998-04-28 Interferometer tunable in a non-mechanical manner by a pancharatnam phase

Publications (2)

Publication Number Publication Date
CA2284602A1 CA2284602A1 (en) 1998-11-19
CA2284602C true CA2284602C (en) 2006-11-07

Family

ID=7829453

Family Applications (1)

Application Number Title Priority Date Filing Date
CA002284602A Expired - Fee Related CA2284602C (en) 1997-05-15 1998-04-28 Interferometer tunable in a non-mechanical manner by a pancharatnam phase

Country Status (6)

Country Link
EP (1) EP0981717B1 (en)
AT (1) ATE246341T1 (en)
AU (1) AU736850B2 (en)
CA (1) CA2284602C (en)
DE (2) DE19720246C2 (en)
WO (1) WO1998051992A1 (en)

Families Citing this family (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
DE10037652A1 (en) * 2000-07-31 2002-02-14 Deutsche Telekom Ag Process for transferring moment of momentum to double refracting object made of mercury halide and/or Kevlar comprises changing polarizing state of light as polarized light passes through object

Family Cites Families (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3635552A (en) * 1970-04-14 1972-01-18 Philips Corp Optical interferometer
US3873207A (en) * 1973-03-09 1975-03-25 Xerox Corp Polarizing interferometer
JPH03195907A (en) * 1989-12-25 1991-08-27 Matsushita Electric Works Ltd Fizeau interferometer for polarized light
IL100655A (en) * 1991-02-08 1994-11-28 Hughes Aircraft Co Interferometric laser profilometer
DE69206654T2 (en) * 1991-03-26 1996-07-11 Hamamatsu Photonics Kk Optical voltage detector
US5627666A (en) * 1994-07-27 1997-05-06 Board Of Regents Of The University Of Colorado Liquid crystal phase modulator using cholesteric circular polarizers

Also Published As

Publication number Publication date
DE19720246A1 (en) 1998-11-19
EP0981717B1 (en) 2003-07-30
AU736850B2 (en) 2001-08-02
WO1998051992A1 (en) 1998-11-19
ATE246341T1 (en) 2003-08-15
AU7649998A (en) 1998-12-08
DE19720246C2 (en) 1999-04-15
DE59809161D1 (en) 2003-09-04
CA2284602A1 (en) 1998-11-19
EP0981717A1 (en) 2000-03-01

Similar Documents

Publication Publication Date Title
EP0250306B1 (en) Angle measuring interferometer
US8896832B2 (en) Discrete polarization scatterometry
US5995223A (en) Apparatus for rapid phase imaging interferometry and method therefor
WO2016194018A1 (en) Illumination device and measurement device
US6519040B1 (en) Imaging system and method for Fourier transform spectroscopy
US4534649A (en) Surface profile interferometer
US10088291B2 (en) Instantaneous phase-shift interferometer
CN106773586B (en) Single-mode fiber-based lensless Jones matrix holographic measurement and imaging system
US7106452B2 (en) Measuring device and measuring method
US8547557B2 (en) Apparatus for determining a height map of a surface through both interferometric and non-interferometric measurements
US11656484B2 (en) Voltage-tunable polarizer
JP3943620B2 (en) Differential interference microscope
CA2284602C (en) Interferometer tunable in a non-mechanical manner by a pancharatnam phase
US3620593A (en) Method of surface interference microscopy
JPH08313207A (en) Transmission type interferometer
GB2109545A (en) Surface profile interferometer
GB2374141A (en) Optical characterisation of retarding devices
JPH095018A (en) Device for measuring moving quantity
JP4072190B2 (en) Differential interference microscope
JP3174985B2 (en) Differential heterodyne interferometer using optical fiber array
JPH0552657A (en) Polarization measurement equipment
JPS63241305A (en) Fringe scanning method
KR900003439Y1 (en) Digital interferometer
RU2503922C2 (en) Imaging microellipsometer
RU2039948C1 (en) Device for polarization measurement of characteristic of clear object

Legal Events

Date Code Title Description
EEER Examination request
MKLA Lapsed