US20150109456A1 - Tir imaging lens, image capturing system having the same, and associated methods - Google Patents

Tir imaging lens, image capturing system having the same, and associated methods Download PDF

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Publication number
US20150109456A1
US20150109456A1 US14/589,305 US201514589305A US2015109456A1 US 20150109456 A1 US20150109456 A1 US 20150109456A1 US 201514589305 A US201514589305 A US 201514589305A US 2015109456 A1 US2015109456 A1 US 2015109456A1
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Prior art keywords
imaging lens
lens
imaging
image
optical element
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Abandoned
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US14/589,305
Inventor
David Ovrutsky
Jeremy Huddleston
Paul Elliott
David Keller
Richard Jones
Thomas MERCIER
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Teledyne Flir LLC
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Flir Systems Inc
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Publication date
Priority claimed from US13/356,211 external-priority patent/US9348120B2/en
Priority claimed from US13/835,188 external-priority patent/US20130208353A1/en
Application filed by Flir Systems Inc filed Critical Flir Systems Inc
Priority to US14/589,305 priority Critical patent/US20150109456A1/en
Assigned to FLIR SYSTEMS, INC. reassignment FLIR SYSTEMS, INC. ASSIGNMENT OF ASSIGNORS INTEREST (SEE DOCUMENT FOR DETAILS). Assignors: MERCIER, Thomas, ELLIOTT, PAUL, HUDDLESTON, JEREMY, JONES, RICHARD, KELLER, DAVID, OVRUTSKY, DAVID
Publication of US20150109456A1 publication Critical patent/US20150109456A1/en
Priority to US15/933,014 priority patent/US10409041B2/en
Abandoned legal-status Critical Current

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    • GPHYSICS
    • G02OPTICS
    • G02BOPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B13/00Optical objectives specially designed for the purposes specified below
    • G02B13/14Optical objectives specially designed for the purposes specified below for use with infrared or ultraviolet radiation
    • GPHYSICS
    • G02OPTICS
    • G02BOPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B13/00Optical objectives specially designed for the purposes specified below
    • G02B13/22Telecentric objectives or lens systems
    • GPHYSICS
    • G02OPTICS
    • G02BOPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B3/00Simple or compound lenses
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04NPICTORIAL COMMUNICATION, e.g. TELEVISION
    • H04N23/00Cameras or camera modules comprising electronic image sensors; Control thereof
    • H04N23/57Mechanical or electrical details of cameras or camera modules specially adapted for being embedded in other devices
    • H04N5/2257
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04NPICTORIAL COMMUNICATION, e.g. TELEVISION
    • H04N5/00Details of television systems
    • H04N5/30Transforming light or analogous information into electric information
    • H04N5/33Transforming infrared radiation

Definitions

  • Embodiments relate to an imaging lens for the thermal infrared (TIR) region (mid-wavelength infrared (MWIR) and long wavelength infrared (LWIR) region), an image capturing system including the same, and associated methods.
  • TIR thermal infrared
  • MWIR mid-wavelength infrared
  • LWIR long wavelength infrared
  • thermal imagers As with most technology, there is a demand for smaller and cheaper thermal imagers, whether as stand alone devices or integrated into mobile devices, electronic device, and so forth.
  • One or more embodiments is directed to an imaging lens for use with an operational waveband over any subset of 2-13.5 ⁇ m, the imaging lens including a silicon element having an image side surface and an object side surface, at least one of the image side and object side surfaces being an optically powered surface with a lens having a surface finish with a roughness of less than 20 nm Ra.
  • the optically powered surface may include a blend region beyond a clear aperture of the lens, the blend region terminating at a flat region.
  • the flat region is higher than a lowest point of the lens.
  • the flat region may be higher than a lowest point of the blend region.
  • the silicon element is non-circular, e.g., polygonal.
  • the silicon element may include die features on at least one of the image side and object side surfaces.
  • the die features may include at least one of a die alignment mark, a wafer alignment mark, and a die identifier.
  • the imaging lens may include an optical element having an image side surface and an object side surface, at least one of the image side and object side surfaces being an optically powered surface.
  • the optical element is silicon.
  • the optical element may be non-circular.
  • the silicon element may have a resistivity between 0.1 and 100 ⁇ cm, e.g., between 1 and 3.5 ⁇ cm.
  • the silicon element may be n-type silicon.
  • the optically powered surface is aspheric.
  • One or more embodiments is directed a method of manufacturing lenses, the method including creating a wafer-level master, overmolding the wafer-level master to form a daughter replica, casting a polymer lens shapes onto a wafer using the daughter replica, transferring the polymer lens shapes into the wafer, and singulating the wafer to create individual dies with a lens thereon.
  • Creating the wafer-level master may include machining a metal substrate.
  • Machining may include diamond turning.
  • Creating the wafer-level master includes machining perturbed lens shapes into the wafer-level master such that the transferred lens shape in silicon best meets a desired lens shape.
  • the method may include, before singulating, forming die features on the wafer, at least one die feature being on the individual die.
  • the die features may include at least one of a die alignment mark, a wafer alignment mark, and a die identifier.
  • die features may be patterned in photoresist on a surface of the wafer to have polymer lens shapes cast thereon.
  • the method may include transferring the die features into the wafer.
  • Transferring the die features occurs during transferring the polymer lens shapes.
  • the method may include, after casting the polymer lens shapes and before transferring, patterning die features on a surface of the wafer having the polymer lens shapes thereon.
  • Patterning may include depositing a hard mask on the surface of the wafer; and patterning the hard mask.
  • Patterning may include providing a photoresist pattern on the hard mask and etching the hard mask.
  • the method may include removing polymer while not affecting the hard mask until the wafer is exposed.
  • the method may include removing the hard mask and the photoresist.
  • Singulating may include etching.
  • a coating e.g., an antireflective coating or a short wave cut filter, may be provided on the wafer on one or both surfaces of the wafer.
  • the method may include, after providing the coating and before singulating, forming aperture stops on the lenses.
  • Forming aperture stops may include patterning chrome.
  • the method may include, before casting, measuring a resistivity of the wafer.
  • the method may be continued when the wafer has a resistivity between 0.1 and 100 ⁇ m, e.g., between 1 and 10 ⁇ m.
  • the wafer may be a silicon wafer.
  • the method may include, before singulating, forming aperture stops on the lenses.
  • Singulating creates circular or non-circular dies.
  • One or more embodiments is directed an imaging lens for use with an operational waveband over any subset of 2-13.5 ⁇ m, the imaging lens including a silicon element having an image side surface and an object side surface, at least one of the image side and object side surfaces being an optically powered surface, the silicon element having a resistivity between 0.1 and 100 ⁇ cm, e.g., between 1 and 10 ⁇ cm.
  • One or more embodiments is directed an imaging system for use with an operational waveband over any subset of 2-13.5 ⁇ m, the imaging system including a sensor; and a silicon element having an image side surface and an object side surface, at least one of the image side and object side surfaces being an optically powered surface, the silicon element having a resistivity between 0.1 and 100 ⁇ cm.
  • the imaging system may include a non-silicon element having an image side surface and an object side surface, at least one of the image side and object side surfaces being an optically powered surface.
  • FIG. 1 illustrates a schematic side view of an imaging capturing system in accordance with an embodiment
  • FIG. 2 illustrates a schematic side view of an imaging capturing system in accordance with an embodiment
  • FIGS. 3A to 3C illustrate plots of lens sag and slope versus radial aperture for lens surfaces having power therein in FIG. 2 ;
  • FIG. 4 illustrates a schematic side view of an image capturing system in accordance with an embodiment
  • FIG. 5 illustrates a schematic side view of an image capturing system in accordance with an embodiment
  • FIG. 6 illustrates a cross-sectional view of a module assembly including an imaging system in accordance with an embodiment
  • FIG. 7 illustrates a schematic perspective view of a computer incorporating an image capturing device in accordance with embodiments
  • FIG. 8 illustrates a schematic perspective view of a mobile device incorporating an image capturing device in accordance with embodiments
  • FIG. 9 illustrates a schematic side view of an image capturing system in accordance with an embodiment
  • FIG. 10 illustrates a schematic side view of an image capturing system in accordance with an embodiment
  • FIG. 11 illustrates a schematic side view of an image capturing system in accordance with an embodiment
  • FIG. 12 illustrates a flow chart for making an optical element in accordance with an embodiment, along with perspective sectional views of devices at respective stages;
  • FIG. 13 illustrates a top view of a wafer having die features thereon
  • FIG. 14 illustrates a plot of wavelength versus transmission for silicon having different resistivities.
  • thermal infrared sensors also known as thermal imagers
  • materials for use as thermal lenses typically have high transmission in the TWIR region, e.g., in the MWIR waveband of 2-7.5 ⁇ m and in the LWIR waveband of 7.5-13.5 ⁇ m.
  • Current typical materials for thermal lenses include germanium (Ge), chalcogenide glass, zinc selenide (ZnSe), and zinc sulfide (ZnS).
  • many optical materials having other desirable properties are excluded due to a high absorption in the waveband of 2-13.5 ⁇ m. While some optical materials have been used for thermal applications, e.g., a thermopile, these applications do not include thermal imaging, e.g., 30 ⁇ 30 resolution or higher.
  • a thickness of material used for thermal lenses may decrease sufficiently to allow materials that are typically considered too absorptive in the TWIR waveband, especially in the LWIR waveband, to be used as thermal lenses.
  • This allows the use of other materials, e.g., silicon, that have an absorption band at about 9 microns in the LWIR waveband, but offer other advantages, e.g., manufacturability, low coefficient of thermal expansion, low dispersion, etc., to be employed.
  • the imaging lenses discussed in detail below are to be operational over any subset of the TIR waveband. These imaging lenses are designed to be made in a high index material, i.e., greater than 2.2, having an absorption per mm of thickness less than 75% in the operational waveband, and an absorption per mm of thickness greater than 75% in a visible waveband of 400-650 nm. While silicon meets these parameters and provides advantages noted above, other materials that meet these parameters may also be used.
  • FIG. 1 illustrates a schematic side view of an image capturing system 150 in the TIR waveband in accordance with an embodiment.
  • the image capturing system 150 includes an imaging lens 100 and a sensor 130 .
  • the imaging lens 100 may include a first optical element 110 and a second optical element 120 .
  • a spacer (which would include surfaces C and D, see FIG. 6 ) between the first optical element 110 and the second optical element 120 has been omitted for clarity.
  • both the first optical element 110 and the second optical element 120 are planoconvex lenses.
  • a surface A here an input surface of the imaging lens 100
  • a surface F here a final surface of the imaging lens 100
  • both have optical power.
  • One or both of these surfaces may be aspheric.
  • Surface B of the first optical element 110 and surface E of the second optical element 120 have no optical power, here are both planar, and face each other.
  • the imaging lens 100 may also include an aperture stop 102 .
  • the aperture stop 102 may be adjacent surface A, e.g., directly on surface A, of the first optical element 110 .
  • the aperture stop 102 may be made of metal, e.g., chromium, a dyed polymer, or any suitable material that is opaque to TIR.
  • the aperture stop 102 may be at any appropriate location within the imaging lens 100 .
  • the aperture stop 102 may be thin, but thick enough, e.g., greater than around 200 nm, to be effective, i.e., have a transmission therethrough of less than about 0.5% in the operational waveband.
  • the f-number for the imaging lens 100 may be less than 1.1.
  • a diffractive element 104 may be provided on one or more of the surfaces A, B, E, or F.
  • the diffractive element 104 may be on the surface having the most optical power, here, surface F.
  • the sensor 130 may include a sensor cover glass 132 and pixels in a sensor image plane 134 , the pixels detecting TIR radiation.
  • the sensor cover glass 132 may be made of silicon and may have a thickness between 0.5 mm and 1.0 mm.
  • the working distance of the image capturing system 150 is a distance from a bottom surface, i.e., an apex of the bottom surface, of the imaging lens 100 , here surface F, to a top surface of the cover glass 132 .
  • the optical track length of the imaging capturing system 150 is a distance from an apex of the first surface of the imaging lens 100 , here surface A, to the sensor image plane 134 .
  • the maximum clear aperture of the imaging lens 100 (here at surface F) is much larger, e.g., more than 50% greater, than the sensor image diagonal, i.e., a diagonal across the sensor image plane 134 , and the maximum SAG of the imaging lens 100 (also at surface F) is relatively large, e.g., much greater than 100 ⁇ M.
  • the maximum clear aperture is 2.6 mm
  • the sensor image diagonal is 1.7 mm
  • the maximum SAG is 203 ⁇ M.
  • the maximum clear aperture may be defined relative to an image circle of the lens.
  • the image circle of the lens is to be understood as the diameter of the image produced at the focal plane of the lens corresponding to a given field of view (FOV), e.g., 55 degrees or greater, of the lens.
  • FOV field of view
  • the image circle is understood to be the largest distance across the image that is used by the image sensor, typically the image sensor diagonal of the sensor with which the imaging lens used or intended to be used.
  • embodiments illustrated in FIGS. 2 to 5 may employ a two optical element design in which optical power is provided on three surfaces. Spreading the optical power over three surfaces, while increasing the number of surfaces to be manufactured, allows a maximum clear aperture much closer in size to the sensor image diagonal (or image circle) and a reduced SAG to be realized.
  • the maximum clear aperture of the imaging lens may be less than 30% greater, e.g., less than 20% greater, than the sensor image diagonal or the image circle corresponding to a FOV of 55 degrees or greater.
  • FIG. 2 illustrates a schematic side view of an imaging capturing system 250 in the TIR waveband in accordance with an embodiment.
  • the image capturing system 250 includes an imaging lens 200 and a sensor 230 .
  • the imaging lens 200 may include a first optical element 210 and a second optical element 220 .
  • a spacer which would include surfaces C and D, see FIG. 6 ) provides an air gap between the first optical element 210 and the second optical element 220 has been omitted for clarity.
  • the air gap may be provided by a barrel or housing.
  • three surfaces here surfaces A, B, and E, have optical power therein.
  • One, two, or all three surfaces may be aspheric. All three surfaces may have a positive power at the apex thereof, i.e., may be convex at the apex thereof.
  • the imaging lens 200 may also include the aperture stop 202 , which may have the same configuration/properties noted above for aperture stop 102 .
  • the f-number for the imaging lens 200 may be less than 1.1.
  • a diffractive element 204 may be provided on one or more of the surfaces A, B, E, or F.
  • the diffractive element 204 may be on the surface having the most optical power, here, surface E.
  • the sensor 230 may include a sensor cover glass 232 and pixels in a sensor image plane 234 , the pixels detecting TIR radiation.
  • the sensor image diagonal may be about 1.443 mm.
  • FIGS. 3A to 3C illustrate plots of lens sag and slope versus radial aperture for lens surfaces A, B, and E of FIG. 2 .
  • surface A is a gullwing surface, i.e., has a convex apex and a concave edge.
  • the clear aperture is 1.159 mm and the SAG over the clear aperture is 0.008 mm (8 ⁇ m).
  • surface B is a convex surface.
  • the clear aperture is 1.433 mm and the SAG over the clear aperture is 0.042 mm (42 ⁇ m).
  • surface E is a convex surface.
  • the clear aperture is 1.613 mm and the SAG over the clear aperture is 0.071 mm (71 ⁇ m).
  • the maximum clear aperture is 1.613 mm, i.e., less than 30% greater than the sensor image diagonal (or the image circle), and the maximum SAG is 71 ⁇ m, i.e., less than 100 ⁇ m.
  • the center thickness of the optical elements 210 , 220 may be within 15% of one another.
  • the optical element 210 has a center thickness of 0.68 mm and the optical element 220 has a center thickness of 0.69 mm.
  • a starting thickness of substrates used to create the optical elements 210 , 220 may be between 0.5 mm and 1.5 mm, e.g., 0.5 mm to 1.0 mm, with this particular example having a starting thickness of 0.7 mm.
  • the second optical element 220 is closer to the cover glass 132 than to the first optical element 210 , with a difference between these distances, i.e., B to E and F to 132 , being less than 50%.
  • the optical track length is 3 and a ratio of the optical track length to the image diagonal of the sensor is less than 2.5.
  • FIG. 4 illustrates a schematic side view of an imaging capturing system 350 in the TIR waveband in accordance with an embodiment.
  • the image capturing system 350 includes an imaging lens 300 and the sensor 230 .
  • the imaging lens 300 may include a first optical element 310 and a second optical element 320 .
  • a spacer (which would include surfaces C and D, see FIG. 6 ) between the first optical element 310 and the second optical element 320 has been omitted for clarity.
  • three surfaces here surfaces A, B, and E, have optical power therein.
  • One, two, or all three surfaces may be aspheric.
  • the imaging lens 300 may also include the aperture stop 302 , which may have the same configuration/properties noted above for aperture stop 102 .
  • the f-number for the imaging lens 300 may be less than 1.1.
  • a diffractive element 304 may be provided on one or more of the surfaces A, B, E, or F.
  • the diffractive element 304 may be on the surface having the most optical power, here, surface E.
  • surface A is a gullwing surface having a clear aperture of 1.167 mm and SAG over the clear aperture of 0.017 mm (17 ⁇ m);
  • surface B is a convex surface having a clear aperture of 1.398 mm and SAG over the clear aperture is 0.039 mm (39 ⁇ m);
  • surface E is a gullwing surface having a clear aperture of 1.444 mm and SAG over the clear aperture is 0.046 mm (46 ⁇ m).
  • the maximum clear aperture is 1.444 mm, i.e., less than 30% greater than the sensor image diagonal (or the image circle), and the maximum SAG is 46 i.e., less than 100 ⁇ m.
  • the second optical element 320 is closer to the cover glass 232 than to the first optical element 310 , with a difference between these distances, i.e., B to E and F to 232 , being greater than 50%.
  • FIG. 5 illustrates a schematic side view of an imaging capturing system 450 in the TIR waveband in accordance with an embodiment.
  • the image capturing system 450 includes an imaging lens 400 and the sensor 130 .
  • the image capturing system 450 is designed for a longer optical track length than the embodiments of FIGS. 2 and 4 , so the imaging lens 400 is of a slightly larger scale, with a thickness of the first optical element 410 being 1.019 mm and a thickness of the second optical element 420 being 1.488 mm.
  • the imaging lens 400 may include a first optical element 410 and a second optical element 420 .
  • a spacer (which would include surfaces C and D, see FIG. 6 ) between the first optical element 410 and the second optical element 420 has been omitted for clarity.
  • three surfaces here surfaces A, B, and E, have optical power therein.
  • One, two, or all three surfaces may be aspheric.
  • the imaging lens 400 may also include the aperture stop 402 , which may have the same configuration/properties noted above for aperture stop 102 .
  • the f-number for the imaging lens 400 may be less than 1.1.
  • a diffractive element 404 may be provided on one or more of the surfaces A, B, E, or F.
  • the diffractive element 404 may be on the surface having the most optical power, here, surface E.
  • surface A is a gullwing surface having a clear aperture of 1.423 mm and SAG over the clear aperture of 0.017 mm (17 ⁇ m);
  • surface B is a convex surface having a clear aperture of 1.716 mm and SAG over the clear aperture is 0.049 mm (49 ⁇ m);
  • surface E is a convex surface having a clear aperture of 1.750 mm and SAG over the clear aperture is 0.054 mm (54 ⁇ m).
  • the maximum clear aperture is 1.75 mm, i.e., less than 30% greater than the sensor image diagonal (or than the image circle), and the maximum SAG is 54 ⁇ m, i.e., less than 100 ⁇ m.
  • the second optical element 420 is closer to the cover glass 132 than to the first optical element 410 , with a difference between these distances, i.e., B to E and F to 132 , being greater than 50%.
  • any of the imaging lenses 100 , 200 , 300 , 400 discussed above may be provided in a barrel assembly 550 , as illustrated in FIG. 6 .
  • the barrel assembly 550 may be a threaded barrel assembly such that a distance between an imaging lens 500 housed therein and the sensor 130 , i.e., along the z-axis, may be altered.
  • the imaging lens 500 may include a first optical element 510 and a second optical element 520 separated by a spacer 515 providing an air gap between surfaces B and E.
  • the surfaces B and E may include relative planar portions 512 , 522 , i.e., flat regions, in a periphery thereof to facilitate securing of the spacer 515 thereto.
  • Embodiments described above may work with a particular image sensor diagonal of about 1.443 mm. This dimension may correspond to an exemplary sensor that includes a horizontal resolution of 60 pixels, a vertical resolution of 60 pixels and a pixel size or pixel pitch of approximately 17
  • the teachings presented herein may be applied to imaging lens designs for use with sensors that include different image sensor diagonals. Certainly, as technology progresses, IR sensor sensitivity may increase and pixel sizes may decrease as exemplified by the reduction in size of visible image sensor pixels. Table I below lists some representative TIR sensors currently available or currently under development and for which the embodiments provided herein may be designed.
  • FIG. 9 illustrates a schematic side view of an imaging capturing system 750 in the TIR waveband in accordance with an embodiment.
  • the image capturing system 750 includes an imaging lens 700 and the sensor 730 .
  • the sensor 730 is characterized by a slightly larger image sensor diagonal of about 1.7 mm. Accordingly, the overall size of imaging lens 700 is slightly larger than imaging lenses 200 , 300 and 400 described above.
  • the imaging lens 700 may include a first optical element 710 and a second optical element 720 .
  • a spacer (which would include surfaces C and D, see FIG. 6 ) between the first optical element 710 and the second optical element 720 has been omitted for clarity.
  • three surfaces here surfaces A, B, and E, have optical power therein.
  • One, two, or all three surfaces may be aspheric.
  • the imaging lens 700 may also include the aperture stop 702 , which may have the same configuration/properties noted above for aperture stop 102 .
  • the f-number for the imaging lens 400 may be less than or about 1.1.
  • a diffractive element 704 may be provided on one or more of the surfaces A, B, E, or F.
  • the diffractive element 704 may be on a surface having more optical power, for example surface A or surface E.
  • first optical element 710 includes a meniscus shape with the object side surface A being convex and the image side surface B being concave.
  • Second optical element 720 includes a plano-convex shape with the object side surface E being convex and the image side surface F being planar.
  • Surface A has positive power and surface B has negative power while the net effect of surfaces A and B combine to make optical element 710 positive overall.
  • Surface E has positive power and optical element 720 is positive overall.
  • Surface A includes a clear aperture of 1.395 mm and SAG over the clear aperture of 0.090 mm (90 ⁇ m).
  • Surface B includes a clear aperture of 1.407 mm and SAG over the clear aperture is 0.077 mm (77 ⁇ m).
  • Surface E includes a clear aperture of 1.950 mm and SAG over the clear aperture is 0.111 mm (111 ⁇ m).
  • the maximum clear aperture is 1.95 mm, i.e., less than 30% greater than the sensor image diagonal (or than the image circle) of 1.7 mm, and the maximum SAG is 111 which is slightly larger than 100 ⁇ m.
  • the largest sag corresponds to the same lens surface that includes the largest clear aperture.
  • the ratio (or percentage) of largest sag to largest clear aperture of imaging lenses 200 , 300 , 400 , and 700 may be calculated as 4.4%, 3.2%, 3.1%, and 5.7%, respectively.
  • ratio of largest sag to largest clear aperture for all imaging lenses 200 , 300 , 400 , and 700 is less than 10% and, in all instances, less than 6%.
  • a relatively small ratio of the largest sag to largest clear aperture may be desirable in certain manufacturing methods, including those described in the “Method of Making” section below.
  • FIG. 10 illustrates a schematic side view of an imaging capturing system 850 in the TIR waveband in accordance with an embodiment.
  • the image capturing system 850 includes an imaging lens 800 and the sensor 830 .
  • the sensor 830 is characterized by an even larger image sensor diagonal of about 3.4 mm. Accordingly, the overall size of imaging lens 800 is slightly larger than imaging lenses 200 , 300 , 400 , and 700 described above.
  • the imaging lens 800 may include a first optical element 810 and a second optical element 820 .
  • a spacer (which would include surfaces C and D, see FIG. 6 ) between the first optical element 810 and the second optical element 820 has been omitted for clarity.
  • three surfaces here surfaces A, B, and F, have optical power therein.
  • One, two, or all three surfaces may be aspheric.
  • the imaging lens 800 may also include the aperture stop 802 , which may have the same configuration/properties noted above for aperture stop 102 .
  • the f-number for the imaging lens 800 may be less than or about 1.4.
  • a diffractive element 804 may be provided on one or more of the surfaces A, B, E, or F.
  • the diffractive element 804 may be on a surface having more optical power, for example surface A or surface F.
  • first optical element 810 includes a meniscus shape with the object side surface A being convex and the image side surface B being concave.
  • Second optical element 820 includes a plano-convex shape with the object side surface E being planar and the image side surface F being convex.
  • Surface A has positive power and surface B has negative power while the net effect of surfaces A and B combine to make optical element 810 positive overall.
  • Surface F has positive power and optical element 820 is positive overall.
  • Surface A includes a clear aperture of 1.999 mm and SAG over the clear aperture of 0.062 mm (62 ⁇ m).
  • Surface B includes a clear aperture of 2.161 mm and SAG over the clear aperture is 0.037 mm (37 ⁇ m).
  • Surface F includes a clear aperture of 3.045 mm and SAG over the clear aperture is 0.130 mm (130 ⁇ m).
  • the maximum clear aperture is 3.045 mm, i.e., less than 30% greater than the sensor image diagonal (or than the image circle) of 3.4 mm
  • the maximum SAG is 130 ⁇ m, which is 4.3% (i.e., less than 6%) of the largest clear aperture.
  • the largest clear aperture is on one surface of a plano-convex element 820 .
  • optical elements 210 and 220 in imaging lens 200 include center thicknesses of 0.68 mm and 0.69 mm, respectively.
  • the center thickness along the optical axis represents the thickest portion of the element.
  • the center thickness may not represent the thickest region of the optical element nor the largest thickness dimension of the element.
  • each of these imaging lenses 700 , 800 include a concave surface B.
  • the center thickness does not reflect the thickest (along a direction parallel to the optical axis) region of the element.
  • optical elements 710 and 810 include a center thickness dimension labeled “CTR” and a peak-to-peak dimension labeled “P-P.”
  • the P-P dimension reflects a largest distance parallel to the optical axis between the highest opposing surfaces of the elements 710 , 810 within their respective clear apertures. In each case, the P-P dimension is larger than the CTR thickness dimension. Note, however that for optical elements 720 , 820 , the P-P dimension and CTR dimension are the same.
  • FIG. 11 illustrates a schematic side view of an imaging capturing system 950 in the TIR waveband in accordance with an embodiment.
  • the image capturing system 950 includes an imaging lens 900 and the sensor 930 .
  • the sensor 930 may include a sensor cover glass 932 and pixels in a sensor image plane 934 .
  • the sensor 930 is characterized by a slightly larger image sensor diagonal of about 1.7 mm. Accordingly, the overall size of imaging lens 900 is slightly larger than imaging lenses 200 , 300 and 400 described above.
  • a spacer (which would include surfaces C and D, see FIG. 6 ) between the first optical element 910 and the second optical element 920 has been omitted for clarity.
  • two surfaces here surfaces A and F, have optical power therein.
  • One, two, or all three surfaces may be aspheric.
  • the imaging lens 800 may also include an aperture stop 902 , which may have the same configuration/properties noted above for aperture stop 202 .
  • the f-number for the imaging lens 400 may be less than or about 1.4.
  • a diffractive element 904 may be provided on one or more of the surfaces A, B, E, or F.
  • the diffractive element 904 may be on a surface having more optical power, for example surface F.
  • first and second optical elements 910 , 920 are plano-covex elements, with the planar surfaces facing each other.
  • first optical element 910 has a convex shape at the object side surface A
  • the second optical element 920 has a convex shape at the object side surface E being planar and the image side surface F being convex.
  • Surfaces A and F have positive power.
  • Surface A includes a clear aperture of 2.755 mm and SAG over the clear aperture of 0.064 mm (64 ⁇ m).
  • Surface F includes a clear aperture of 3.111 mm and SAG over the clear aperture is 0.064 mm (64 ⁇ m).
  • the maximum clear aperture is 3.111 mm, i.e., less than 30% greater than the sensor image diagonal (or than the image circle) of 3.4 mm, and the maximum SAG is 64 ⁇ m, which is 2.1% (i.e., less than 6%) of the largest clear aperture.
  • the largest clear aperture is on one surface of a plano-convex element 920 .
  • Table II below includes relevant CTR and P-P dimensions for the imaging lenses 200 , 300 , 700 , 800 , 900 disclosed herein. Table II also includes a calculated percentage difference between the P-P thicknesses of the A-B element and the E-F element of each respective lens design.
  • An advantage of wafer-based manufacturing techniques is that they may yield thinner optical elements than other methods. Further, the high index nature of the optical materials disclosed herein may permit smaller sags and shallower lens curves.
  • One method of quantifying these characteristics is to compare (as a percentage) the sag of a particular powered surface of the imaging lens to the overall maximum (P-P) thickness of the optical element on which that powered surface lies.
  • Another method compares (again as a percentage) the overall maximum (P-P) thickness of an optical element to the clear aperture size of a given powered surfaces on that particular element. Both of these quantities are shown in the table below for the same imaging lenses 200 , 300 , 700 , 800 included in Table II.
  • Table III provides the following dimension ratios (represented as percentages):
  • the numbers shown in the Ratio A, B, and C columns reveal that a significant advantage of wafer-based manufacturing techniques appears as image sensors (and hence, clear apertures) grow in size as in the case of imaging lenses 700 , 800 , and 900 .
  • the overall maximum P-P thickness of each of the optical elements in imaging lenses 700 , 800 , and 900 is less than about 50% of the clear aperture size of the powered surfaces on those optical elements.
  • that ratio is less than about 35% for all powered surfaces.
  • ratios D, E, and F provided in Table III is that the ratio of sag of a particular powered surface of the imaging lens to the overall maximum (P-P) thickness of the optical element on which that powered surface lies is less than about 30%. More specifically, for the imaging lenses provided in Table III, this ratio is less than about 20%.
  • Table IV includes General Lens Data for imaging lens 700 .
  • Table V provides Surface Data for surfaces A, B, E, and F of imaging lens 700 .
  • Table VI provides details relating to aspheric coefficients of known even aspheric equations used to describe aspheric lens surfaces (e.g., surfaces A, B, E of imaging lens 700 ) and can be analyzed using available software such as ZEMAX or CODE V.
  • Tables VII, VIII, and IX present similar data for imaging lens 800 .
  • One or both of the optical elements noted above may be silicon. Any one, two, or all of the lens surfaces noted above may be made using, e.g., the stamp and transfer technique disclosed in U.S. Pat. No. 6,027,595, which is hereby incorporated by reference in its entirety. As noted therein, these surfaces may be created on the wafer level, i.e., a plurality of these surfaces may be replicated and transferred to a wafer simultaneously and later singulated to realize individual optical elements. When fabricated on a wafer level, singulation may result in a circular or non-circular, e.g., polygonal, die. However, such techniques may not allow ready realization of more complicated lens shapes, e.g., aspheric lenses. Depending on the material of the optical element, other techniques for forming one or more of the lens surfaces may include diamond turning or molding, e.g., high temperature molding.
  • a method illustrated in FIG. 12 may be employed.
  • a wafer-level master may be created.
  • the wafer-level master may be formed by diamond turning a metal master, e.g., a nickel plated master.
  • the wafer-level master may have the desired lens profiles, or a perturbed form of the desired lens profiles, therein.
  • the convex lens shapes Due to the nature of the diamond turning process, in which the metal is shaped with a diamond tool that has a finite well defined radius of curvature, the convex lens shapes have a transitional concave blend zone around the clear aperture. Similarly, concave lens shapes may have a transitional convex blend zone around the clear aperture. In order to maintain reasonable cut speeds and process durability the diamond tools typically have radii of curvatures greater than 100 micrometers, which will result in the blend zone with comparable dimensions.
  • This blend zone may be a continuous blend region of a concave or convex portion with a curvature of less than 10 microns terminating to a flat field, i.e., slope of zero degrees. The flat field may be higher than the lowest point of the lens or blend zone.
  • diamond turning of metals can result in very fine surface finish with typical roughness average (Ra) values less than 20 nm, e.g., 10 nm.
  • Ra roughness average
  • diamond turning a silicon substrate results in reduced surface finish quality, typically having roughness values no better than around 40 nm Ra.
  • a daughter replica is formed.
  • the wafer-level master may be used to form numerous daughter replicas.
  • the daughter replicas will have negative shapes of the desired lenses.
  • the daughter replica serves as a replication stamp for generating polymer lens shapes on Si substrate.
  • Forming the daughter replica may include overmolding the metal master using a thermoset or UV curable polymer which is applied onto the surface of the master in the form of liquid and undergoes a phase transition once exposed to an elevated temperatures or ultraviolet radiation. Such an operation results in a conformity in transferring the diamond turned surface of the metal master into the stamp polymer surface which results in Ra values as small as the one of the diamond turned surface of the master or even lower.
  • the stamp which has negative shapes of the desired lenses, is used to cast polymer lens shapes onto a Si substrate to create lens shapes of the same polarity (convex) as in the metal master. Similar to that explained above, the surface finish of such a polymer lens is comparable to that of the master and the stamp.
  • Die features which include alignment marks for use in machine vision assembly, individual die identifiers, and a precise mechanical edge, may be formed before or after the stamping the replica.
  • each die can include unique features that are not on the wafer-level master.
  • these features could be provided, e.g., machined, laser scribed, lithographically created, or otherwise formed, on the wafer-level master itself. Examples of die features are illustrated in FIG. 13 .
  • these die feature may include alignment marks, e.g., die alignment marks 1010 and wafer alignment marks 1020 , precise mechanical edges 1030 , and die identifiers 1040 .
  • die features may be patterned in photoresist on the substrate. Then, the polymer may be provided between the daughter and the substrate, i.e., the photoresist die features may be overmolded, and then, in operation S 50 , both the die features and the lens shapes may be transferred into the wafer.
  • a hard mask e.g., chromium (Cr) would be deposited on the replicated surface.
  • the hard mask would then be coated and patterned using standard positive resist lithography processing. The mask design would be such that the clear apertures of the lenses are protected and die features are patterned.
  • After developing the resist and etching the hard mask expose the replicated polymer. This polymer will then be plasma etched in a highly selective chemistry not etching the hard mask and stopping once the silicon is exposed. Finally the resist and hard mask will be stripped leaving the patterned polymer ready to be transfer etched into the substrate, including the lens shapes and die features.
  • the polymer lens shapes and the die features are transferred into the bulk of the Si substrate, e.g., by plasma etch process. Due to the fact that the etching of both polymer and silicon is mainly atomic level chemical process there is no degradation in the surface finish of the resultant etched lenses. If there are to be features on the other side of the substrate, the process may begin again.
  • material shrinkage in polymeric materials as well as imperfect anisotropy in the transfer process will often result in finite changes in the desired lens shape. The nature of these changes may characterized and the initial lens shape machined into the wafer-level master can be perturbed to compensate for these known process-induced changes.
  • the resulting wafer-level lenses after step S 50 are thus substantially closer to the target prescription.
  • a coating e.g., an anti-reflective coating or a long pass filter that filters out short and/or mid-range infrared wavelengths, e.g., between 1.1 and 5 microns, e.g., 1.1 to 2 microns, may be provided on the wafer.
  • a coating may be provided on both sides of the substrate, even if both sides do not have an optical element or other features thereon.
  • the substrate may be singulated to create multiple individual dies. If the surface is to have an aperture stop thereon, this aperture stop may be provided on top of the coating before singulation.
  • Such singulation may include etching, dicing, scribe and break, and so forth.
  • etching a die having any desired shape, e.g., circular, may be realized.
  • Such singulation by etching may be realized using Plasma-Therm's MDS-100. While etching may be more expensive than dice or scribe and break, etching may be more precise, and later assembly of a circular dies may be simpler, edge defects may be minimized or eliminated, and readily available barrels and more accurate alignment in barrels may be employed.
  • precise mechanical edges 1030 may not be needed, as the die edges may be defect free.
  • these singulated dies may be provided in a cylindrical barrel.
  • FIG. 13 illustrates a top view of substrate having die features thereon.
  • measuring and controlling for the resistivity of the silicon may aid in realizing higher yields.
  • TIR band there are tradeoffs between transmission, for which low resistivity is good, and etch uniformity, for which high resistivity is preferred.
  • silicon with a resistivity in a range e.g., 0.1 ⁇ cm to 100 ⁇ cm, e.g., 1-10 ⁇ cm
  • both transmission and manufacturability of TIR lenses may be improved.
  • n-type and p-type silicon behave differently with respect to doping and transmission, with n-type silicon having better transmission at a given resistivity. This is illustrated in FIG. 14 , in which the wafers each have a 2 ⁇ cm resistivity.
  • two or more wafers, each having a plurality of optical elements thereon may be secured together along the z-direction before singulation, such that individual optical systems each have an optical element from each wafer.
  • a spacer wafer may be provided between the two wafers having the optical elements thereon.
  • one of the wafers having optical elements thereon and the spacer wafer may be secured and singulated, and then secured to another wafer having optical elements thereon, or one of the wafers having optical elements thereon may have spacers die bonded thereon and then secured to the other wafer having optical elements thereon.
  • optical elements may be configured for use with TIR image sensors that are sensitive to wavelengths outside of the operational TIR band.
  • TIR image sensors might also detect energy in adjacent SWIR wavelength bands.
  • improved imaging performance in the TIR operational band may be achieved if one or more surfaces in the imaging lens include filter coatings, anti-reflection coatings, and the like.
  • filter coatings when only LWIR or MWIR is to be detected, these wavelengths outside the waveband of interest may be filtered out.
  • certain surfaces of the optical elements that are planar may be easily processed with optical coatings. Certainly, filtering and anti-reflection coatings may be applied and may be desirable on powered surfaces as well.
  • a silicon lens could be used in conjunction with a more traditional material for TIR imaging. Additionally, while the above methods are directed to wafer level manufacturing that result in circular or non-circular dies, a wafer level created die could be used with a discretely manufactured lens.
  • FIG. 7 illustrates a perspective view of a computer 680 having an TIR imaging system 600 integrated therein.
  • FIG. 8 illustrates a front and side view of a mobile telephone 690 having the TIR imaging system 600 integrated therein.
  • the TIR imaging system 600 may be integrated at other locations and with other electronic devices, e.g., mobile devices, entertainment systems, standalone thermal imagers, and so forth, other than those shown.
  • the TIR imaging system 600 may be any of those noted above.
  • the term “and/or” includes any and all combinations of one or more of the associated listed items.
  • terms such as “first,” “second,” “third,” etc. may be used herein to describe various elements, components, regions, layers and/or sections, these elements, components, regions, layers and/or sections should not be limited by these terms. These terms are only used to distinguish one element, component, region, layer and/or section from another. Thus, a first element, component, region, layer and/or section could be termed a second element, component, region, layer and/or section without departing from the teachings of the embodiments described herein.
  • spatially relative terms such as “beneath,” “below,” “lower,” “above,” “upper,” etc., may be used herein for ease of description to describe the relationship of one element or feature to another element(s) or feature(s), as illustrated in the figures. It will be understood that the spatially relative terms are intended to encompass different orientations of the device in use or operation in addition to the orientation depicted in the figures. For example, if the device in the figures is turned over, elements described as “below” or “beneath” other elements or features would then be oriented “above” the other elements or features. Thus, the exemplary term “below” can encompass both an orientation of above and below. The device may be otherwise oriented (rotated 90 degrees or at other orientations) and the spatially relative descriptors used herein interpreted accordingly.

Abstract

A method of manufacturing lenses includes creating a wafer-level master, overmolding the wafer-level master to form a daughter replica, casting a polymer lens shapes onto a wafer using the daughter replica, transferring the polymer lens shapes into the wafer, and singulating the wafer to create individual dies with a lens thereon. The wafer may be silicon, e.g., silicon having a resistivity between 0.1 and 100 Ωcm.

Description

    CROSS-REFERENCE TO RELATED APPLICATION
  • The present application claims priority under 35 U.S.C. §119(e) to U.S. Provisional Application No. 61/923,973, filed on Jan. 6, 2014, and entitled: “LWIR Imaging Lens, Image Capturing System Having the Same, And Associated Methods,” and is a Continuation-In-Part application of, pending U.S. patent application Ser. No. 13/835,188, filed in the U.S. Patent and Trademark Office on Mar. 15, 2013, and entitled “LWIR Imaging Lens, Image Capturing System Having the Same, and Associated Methods,” which is a Continuation-In-Part application of pending U.S. patent application Ser. No. 13/356,211, filed in the U.S. Patent and Trademark Office on Jan. 23, 2012, and entitled “LWIR Imaging Lens, Image Capturing System Having the Same,” which are all incorporated herein by reference in their entirety.
  • BACKGROUND OF THE INVENTION
  • 1. Field of the Invention
  • Embodiments relate to an imaging lens for the thermal infrared (TIR) region (mid-wavelength infrared (MWIR) and long wavelength infrared (LWIR) region), an image capturing system including the same, and associated methods.
  • 2. Description of the Related Art
  • As with most technology, there is a demand for smaller and cheaper thermal imagers, whether as stand alone devices or integrated into mobile devices, electronic device, and so forth.
  • SUMMARY OF THE INVENTION
  • One or more embodiments is directed to an imaging lens for use with an operational waveband over any subset of 2-13.5 μm, the imaging lens including a silicon element having an image side surface and an object side surface, at least one of the image side and object side surfaces being an optically powered surface with a lens having a surface finish with a roughness of less than 20 nm Ra.
  • The optically powered surface may include a blend region beyond a clear aperture of the lens, the blend region terminating at a flat region.
  • The flat region is higher than a lowest point of the lens.
  • The flat region may be higher than a lowest point of the blend region.
  • The silicon element is non-circular, e.g., polygonal.
  • The silicon element may include die features on at least one of the image side and object side surfaces.
  • The die features may include at least one of a die alignment mark, a wafer alignment mark, and a die identifier.
  • The imaging lens may include an optical element having an image side surface and an object side surface, at least one of the image side and object side surfaces being an optically powered surface.
  • The optical element is silicon.
  • The optical element may be non-circular.
  • The silicon element may have a resistivity between 0.1 and 100 Ωcm, e.g., between 1 and 3.5 Ωcm.
  • The silicon element may be n-type silicon.
  • The optically powered surface is aspheric.
  • One or more embodiments is directed a method of manufacturing lenses, the method including creating a wafer-level master, overmolding the wafer-level master to form a daughter replica, casting a polymer lens shapes onto a wafer using the daughter replica, transferring the polymer lens shapes into the wafer, and singulating the wafer to create individual dies with a lens thereon.
  • Creating the wafer-level master may include machining a metal substrate.
  • Machining may include diamond turning.
  • Creating the wafer-level master includes machining perturbed lens shapes into the wafer-level master such that the transferred lens shape in silicon best meets a desired lens shape.
  • The method may include, before singulating, forming die features on the wafer, at least one die feature being on the individual die.
  • The die features may include at least one of a die alignment mark, a wafer alignment mark, and a die identifier.
  • Before casting the polymer lens shapes, die features may be patterned in photoresist on a surface of the wafer to have polymer lens shapes cast thereon.
  • The method may include transferring the die features into the wafer.
  • Transferring the die features occurs during transferring the polymer lens shapes.
  • The method may include, after casting the polymer lens shapes and before transferring, patterning die features on a surface of the wafer having the polymer lens shapes thereon.
  • Patterning may include depositing a hard mask on the surface of the wafer; and patterning the hard mask.
  • Patterning may include providing a photoresist pattern on the hard mask and etching the hard mask.
  • The method may include removing polymer while not affecting the hard mask until the wafer is exposed.
  • The method may include removing the hard mask and the photoresist.
  • Singulating may include etching.
  • After transferring but before singulating, a coating, e.g., an antireflective coating or a short wave cut filter, may be provided on the wafer on one or both surfaces of the wafer.
  • The method may include, after providing the coating and before singulating, forming aperture stops on the lenses.
  • Forming aperture stops may include patterning chrome.
  • The method may include, before casting, measuring a resistivity of the wafer.
  • The method may be continued when the wafer has a resistivity between 0.1 and 100 Ωm, e.g., between 1 and 10 Ωm.
  • The wafer may be a silicon wafer.
  • The method may include, before singulating, forming aperture stops on the lenses.
  • Singulating creates circular or non-circular dies.
  • One or more embodiments is directed an imaging lens for use with an operational waveband over any subset of 2-13.5 μm, the imaging lens including a silicon element having an image side surface and an object side surface, at least one of the image side and object side surfaces being an optically powered surface, the silicon element having a resistivity between 0.1 and 100 Ωcm, e.g., between 1 and 10 Ωcm.
  • One or more embodiments is directed an imaging system for use with an operational waveband over any subset of 2-13.5 μm, the imaging system including a sensor; and a silicon element having an image side surface and an object side surface, at least one of the image side and object side surfaces being an optically powered surface, the silicon element having a resistivity between 0.1 and 100 Ωcm.
  • The imaging system may include a non-silicon element having an image side surface and an object side surface, at least one of the image side and object side surfaces being an optically powered surface.
  • BRIEF DESCRIPTION OF THE DRAWINGS
  • Features and advantages will become more apparent to those of skill in the art by describing in detail exemplary embodiments with reference to the attached drawings, in which:
  • FIG. 1 illustrates a schematic side view of an imaging capturing system in accordance with an embodiment;
  • FIG. 2 illustrates a schematic side view of an imaging capturing system in accordance with an embodiment;
  • FIGS. 3A to 3C illustrate plots of lens sag and slope versus radial aperture for lens surfaces having power therein in FIG. 2;
  • FIG. 4 illustrates a schematic side view of an image capturing system in accordance with an embodiment;
  • FIG. 5 illustrates a schematic side view of an image capturing system in accordance with an embodiment;
  • FIG. 6 illustrates a cross-sectional view of a module assembly including an imaging system in accordance with an embodiment;
  • FIG. 7 illustrates a schematic perspective view of a computer incorporating an image capturing device in accordance with embodiments;
  • FIG. 8 illustrates a schematic perspective view of a mobile device incorporating an image capturing device in accordance with embodiments;
  • FIG. 9 illustrates a schematic side view of an image capturing system in accordance with an embodiment;
  • FIG. 10 illustrates a schematic side view of an image capturing system in accordance with an embodiment;
  • FIG. 11 illustrates a schematic side view of an image capturing system in accordance with an embodiment;
  • FIG. 12 illustrates a flow chart for making an optical element in accordance with an embodiment, along with perspective sectional views of devices at respective stages;
  • FIG. 13 illustrates a top view of a wafer having die features thereon; and
  • FIG. 14 illustrates a plot of wavelength versus transmission for silicon having different resistivities.
  • DETAILED DESCRIPTION
  • Example embodiments will now be described more fully hereinafter with reference to the accompanying drawings; however, they may be embodied in different forms and should not be construed as limited to the embodiments set forth herein. Rather, these embodiments are provided so that this disclosure will be thorough and complete.
  • In designing thermal infrared sensors, also known as thermal imagers, materials for use as thermal lenses typically have high transmission in the TWIR region, e.g., in the MWIR waveband of 2-7.5 μm and in the LWIR waveband of 7.5-13.5 μm. Current typical materials for thermal lenses include germanium (Ge), chalcogenide glass, zinc selenide (ZnSe), and zinc sulfide (ZnS). However, many optical materials having other desirable properties are excluded due to a high absorption in the waveband of 2-13.5 μm. While some optical materials have been used for thermal applications, e.g., a thermopile, these applications do not include thermal imaging, e.g., 30×30 resolution or higher.
  • As described in detail below, as designs for thermal imagers shrink, e.g., for use in mobile devices, a thickness of material used for thermal lenses may decrease sufficiently to allow materials that are typically considered too absorptive in the TWIR waveband, especially in the LWIR waveband, to be used as thermal lenses. This allows the use of other materials, e.g., silicon, that have an absorption band at about 9 microns in the LWIR waveband, but offer other advantages, e.g., manufacturability, low coefficient of thermal expansion, low dispersion, etc., to be employed.
  • The imaging lenses discussed in detail below are to be operational over any subset of the TIR waveband. These imaging lenses are designed to be made in a high index material, i.e., greater than 2.2, having an absorption per mm of thickness less than 75% in the operational waveband, and an absorption per mm of thickness greater than 75% in a visible waveband of 400-650 nm. While silicon meets these parameters and provides advantages noted above, other materials that meet these parameters may also be used.
  • FIG. 1 illustrates a schematic side view of an image capturing system 150 in the TIR waveband in accordance with an embodiment. As illustrated in FIG. 1, the image capturing system 150 includes an imaging lens 100 and a sensor 130.
  • The imaging lens 100 may include a first optical element 110 and a second optical element 120. In the schematic illustration of FIG. 1, a spacer (which would include surfaces C and D, see FIG. 6) between the first optical element 110 and the second optical element 120 has been omitted for clarity.
  • In this particular embodiment, both the first optical element 110 and the second optical element 120 are planoconvex lenses. A surface A, here an input surface of the imaging lens 100, of the first optical element 110 and a surface F, here a final surface of the imaging lens 100, both have optical power. One or both of these surfaces may be aspheric. Surface B of the first optical element 110 and surface E of the second optical element 120 have no optical power, here are both planar, and face each other.
  • The imaging lens 100 may also include an aperture stop 102. For example, the aperture stop 102 may be adjacent surface A, e.g., directly on surface A, of the first optical element 110. The aperture stop 102 may be made of metal, e.g., chromium, a dyed polymer, or any suitable material that is opaque to TIR. The aperture stop 102 may be at any appropriate location within the imaging lens 100. The aperture stop 102 may be thin, but thick enough, e.g., greater than around 200 nm, to be effective, i.e., have a transmission therethrough of less than about 0.5% in the operational waveband. The f-number for the imaging lens 100 may be less than 1.1.
  • If the material used for one or both optical elements 110, 120 presents chromatic dispersion over an operational waveband or if the imaging lens 100 otherwise requires correction, a diffractive element 104 may be provided on one or more of the surfaces A, B, E, or F. For example, the diffractive element 104 may be on the surface having the most optical power, here, surface F.
  • The sensor 130 may include a sensor cover glass 132 and pixels in a sensor image plane 134, the pixels detecting TIR radiation. The sensor cover glass 132 may be made of silicon and may have a thickness between 0.5 mm and 1.0 mm. The working distance of the image capturing system 150 is a distance from a bottom surface, i.e., an apex of the bottom surface, of the imaging lens 100, here surface F, to a top surface of the cover glass 132. The optical track length of the imaging capturing system 150 is a distance from an apex of the first surface of the imaging lens 100, here surface A, to the sensor image plane 134.
  • While the above embodiment provides a design in which only two surfaces have optical power for the imaging lens 100 along the z-direction, the maximum clear aperture of the imaging lens 100 (here at surface F) is much larger, e.g., more than 50% greater, than the sensor image diagonal, i.e., a diagonal across the sensor image plane 134, and the maximum SAG of the imaging lens 100 (also at surface F) is relatively large, e.g., much greater than 100 μM. In the particular design illustrated in FIG. 1, the maximum clear aperture is 2.6 mm, the sensor image diagonal is 1.7 mm, and the maximum SAG is 203 μM.
  • However, having the maximum clear aperture being much larger than the sensor image diagonal and having a large maximum SAG may present manufacturability and cost issues, particularly when these optical elements are to be made on a wafer level, as described later. Without reference to a particular sensor, i.e., the sensor image diagonal, the maximum clear aperture may be defined relative to an image circle of the lens. In particular, the image circle of the lens is to be understood as the diameter of the image produced at the focal plane of the lens corresponding to a given field of view (FOV), e.g., 55 degrees or greater, of the lens. In the context of an imaging system having an imaging lens and an image sensor, the image circle is understood to be the largest distance across the image that is used by the image sensor, typically the image sensor diagonal of the sensor with which the imaging lens used or intended to be used.
  • Therefore, embodiments illustrated in FIGS. 2 to 5 may employ a two optical element design in which optical power is provided on three surfaces. Spreading the optical power over three surfaces, while increasing the number of surfaces to be manufactured, allows a maximum clear aperture much closer in size to the sensor image diagonal (or image circle) and a reduced SAG to be realized. In embodiments, the maximum clear aperture of the imaging lens may be less than 30% greater, e.g., less than 20% greater, than the sensor image diagonal or the image circle corresponding to a FOV of 55 degrees or greater.
  • FIG. 2 illustrates a schematic side view of an imaging capturing system 250 in the TIR waveband in accordance with an embodiment. As illustrated in FIG. 2, the image capturing system 250 includes an imaging lens 200 and a sensor 230.
  • The imaging lens 200 may include a first optical element 210 and a second optical element 220. In the schematic illustration of FIG. 2, a spacer (which would include surfaces C and D, see FIG. 6) provides an air gap between the first optical element 210 and the second optical element 220 has been omitted for clarity. Features outside the optical surfaces could be used to nest them together, e.g., the air gap may be provided by a barrel or housing.
  • In this particular embodiment, three surfaces, here surfaces A, B, and E, have optical power therein. One, two, or all three surfaces may be aspheric. All three surfaces may have a positive power at the apex thereof, i.e., may be convex at the apex thereof. The imaging lens 200 may also include the aperture stop 202, which may have the same configuration/properties noted above for aperture stop 102. The f-number for the imaging lens 200 may be less than 1.1.
  • If the material used for one or both optical elements 210, 220 presents chromatic dispersion over an operational waveband or if the imaging lens 200 otherwise requires correction, a diffractive element 204 may be provided on one or more of the surfaces A, B, E, or F. For example, the diffractive element 204 may be on the surface having the most optical power, here, surface E.
  • The sensor 230 may include a sensor cover glass 232 and pixels in a sensor image plane 234, the pixels detecting TIR radiation. In the particular configuration, the sensor image diagonal may be about 1.443 mm.
  • FIGS. 3A to 3C illustrate plots of lens sag and slope versus radial aperture for lens surfaces A, B, and E of FIG. 2.
  • As can be seen in FIG. 3A, surface A is a gullwing surface, i.e., has a convex apex and a concave edge. For surface A, the clear aperture is 1.159 mm and the SAG over the clear aperture is 0.008 mm (8 μm).
  • As can be seen in FIG. 3B, surface B is a convex surface. For surface B, the clear aperture is 1.433 mm and the SAG over the clear aperture is 0.042 mm (42 μm).
  • As can be seen in FIG. 3C, surface E is a convex surface. For surface E, the clear aperture is 1.613 mm and the SAG over the clear aperture is 0.071 mm (71 μm).
  • Thus, for the imaging lens 200, the maximum clear aperture is 1.613 mm, i.e., less than 30% greater than the sensor image diagonal (or the image circle), and the maximum SAG is 71 μm, i.e., less than 100 μm.
  • Further, by having small SAGs, if a starting thickness, i.e., before forming the lens surface, of the optical elements 210, 220 is the same, then the center thickness of the optical elements 210, 220 may be within 15% of one another. In this particular example, the optical element 210 has a center thickness of 0.68 mm and the optical element 220 has a center thickness of 0.69 mm. For example, when made on a wafer level, a starting thickness of substrates used to create the optical elements 210, 220, may be between 0.5 mm and 1.5 mm, e.g., 0.5 mm to 1.0 mm, with this particular example having a starting thickness of 0.7 mm. Using the same or standard substrate thickness, particularly thinner substrates, may reduce cost.
  • Further, in this particular example, the second optical element 220 is closer to the cover glass 132 than to the first optical element 210, with a difference between these distances, i.e., B to E and F to 132, being less than 50%. In this particular example, the optical track length is 3 and a ratio of the optical track length to the image diagonal of the sensor is less than 2.5.
  • FIG. 4 illustrates a schematic side view of an imaging capturing system 350 in the TIR waveband in accordance with an embodiment. As illustrated in FIG. 4, the image capturing system 350 includes an imaging lens 300 and the sensor 230.
  • The imaging lens 300 may include a first optical element 310 and a second optical element 320. In the schematic illustration of FIG. 4, a spacer (which would include surfaces C and D, see FIG. 6) between the first optical element 310 and the second optical element 320 has been omitted for clarity.
  • In this particular embodiment, three surfaces, here surfaces A, B, and E, have optical power therein. One, two, or all three surfaces may be aspheric. The imaging lens 300 may also include the aperture stop 302, which may have the same configuration/properties noted above for aperture stop 102. The f-number for the imaging lens 300 may be less than 1.1.
  • If the material used for one or both optical elements 310, 320 presents chromatic dispersion over an operational waveband or if the imaging lens 300 otherwise requires correction, a diffractive element 304 may be provided on one or more of the surfaces A, B, E, or F. For example, the diffractive element 304 may be on the surface having the most optical power, here, surface E.
  • For the imaging lens 300, surface A is a gullwing surface having a clear aperture of 1.167 mm and SAG over the clear aperture of 0.017 mm (17 μm); surface B is a convex surface having a clear aperture of 1.398 mm and SAG over the clear aperture is 0.039 mm (39 μm); surface E is a gullwing surface having a clear aperture of 1.444 mm and SAG over the clear aperture is 0.046 mm (46 μm).
  • Thus, for the imaging lens 300, the maximum clear aperture is 1.444 mm, i.e., less than 30% greater than the sensor image diagonal (or the image circle), and the maximum SAG is 46 i.e., less than 100 μm. Further, in this particular example, the second optical element 320 is closer to the cover glass 232 than to the first optical element 310, with a difference between these distances, i.e., B to E and F to 232, being greater than 50%.
  • FIG. 5 illustrates a schematic side view of an imaging capturing system 450 in the TIR waveband in accordance with an embodiment. As illustrated in FIG. 5, the image capturing system 450 includes an imaging lens 400 and the sensor 130. The image capturing system 450 is designed for a longer optical track length than the embodiments of FIGS. 2 and 4, so the imaging lens 400 is of a slightly larger scale, with a thickness of the first optical element 410 being 1.019 mm and a thickness of the second optical element 420 being 1.488 mm.
  • The imaging lens 400 may include a first optical element 410 and a second optical element 420. In the schematic illustration of FIG. 5, a spacer (which would include surfaces C and D, see FIG. 6) between the first optical element 410 and the second optical element 420 has been omitted for clarity.
  • In this particular embodiment, three surfaces, here surfaces A, B, and E, have optical power therein. One, two, or all three surfaces may be aspheric. The imaging lens 400 may also include the aperture stop 402, which may have the same configuration/properties noted above for aperture stop 102. The f-number for the imaging lens 400 may be less than 1.1.
  • If the material used for one or both optical elements 410, 420 presents chromatic dispersion over an operational waveband or if the imaging lens 400 otherwise requires correction, a diffractive element 404 may be provided on one or more of the surfaces A, B, E, or F. For example, the diffractive element 404 may be on the surface having the most optical power, here, surface E.
  • For the imaging lens 400, surface A is a gullwing surface having a clear aperture of 1.423 mm and SAG over the clear aperture of 0.017 mm (17 μm); surface B is a convex surface having a clear aperture of 1.716 mm and SAG over the clear aperture is 0.049 mm (49 μm); surface E is a convex surface having a clear aperture of 1.750 mm and SAG over the clear aperture is 0.054 mm (54 μm).
  • Thus, for the imaging lens 400, the maximum clear aperture is 1.75 mm, i.e., less than 30% greater than the sensor image diagonal (or than the image circle), and the maximum SAG is 54 μm, i.e., less than 100 μm. Further, in this particular example, the second optical element 420 is closer to the cover glass 132 than to the first optical element 410, with a difference between these distances, i.e., B to E and F to 132, being greater than 50%.
  • Any of the imaging lenses 100, 200, 300, 400 discussed above may be provided in a barrel assembly 550, as illustrated in FIG. 6. In particular, the barrel assembly 550 may be a threaded barrel assembly such that a distance between an imaging lens 500 housed therein and the sensor 130, i.e., along the z-axis, may be altered. As illustrated therein, the imaging lens 500 may include a first optical element 510 and a second optical element 520 separated by a spacer 515 providing an air gap between surfaces B and E. The surfaces B and E may include relative planar portions 512, 522, i.e., flat regions, in a periphery thereof to facilitate securing of the spacer 515 thereto.
  • Embodiments described above may work with a particular image sensor diagonal of about 1.443 mm. This dimension may correspond to an exemplary sensor that includes a horizontal resolution of 60 pixels, a vertical resolution of 60 pixels and a pixel size or pixel pitch of approximately 17 The teachings presented herein may be applied to imaging lens designs for use with sensors that include different image sensor diagonals. Certainly, as technology progresses, IR sensor sensitivity may increase and pixel sizes may decrease as exemplified by the reduction in size of visible image sensor pixels. Table I below lists some representative TIR sensors currently available or currently under development and for which the embodiments provided herein may be designed.
  • TABLE I
    Representative TIR Image Sensor Specifications
    Horizontal Vertical Resolution Pixel Size Image Diagonal
    Resolution (pix) (pix) (μm) (mm)
    320 240 25 10
    320 240 17 6.8
    320 240 10 4
    160 120 25 5
    160 120 17 3.4
    160 120 10 2
    80 60 25 2.5
    80 60 17 1.7
    80 60 10 1
    60 60 25 2.121
    60 60 17 1.4425
    60 60 10 0.8485
  • FIG. 9 illustrates a schematic side view of an imaging capturing system 750 in the TIR waveband in accordance with an embodiment. As illustrated in FIG. 9, the image capturing system 750 includes an imaging lens 700 and the sensor 730. In this particular embodiment, the sensor 730 is characterized by a slightly larger image sensor diagonal of about 1.7 mm. Accordingly, the overall size of imaging lens 700 is slightly larger than imaging lenses 200, 300 and 400 described above.
  • The imaging lens 700 may include a first optical element 710 and a second optical element 720. In the schematic illustration of FIG. 9, a spacer (which would include surfaces C and D, see FIG. 6) between the first optical element 710 and the second optical element 720 has been omitted for clarity.
  • In this particular embodiment, three surfaces, here surfaces A, B, and E, have optical power therein. One, two, or all three surfaces may be aspheric. The imaging lens 700 may also include the aperture stop 702, which may have the same configuration/properties noted above for aperture stop 102. The f-number for the imaging lens 400 may be less than or about 1.1.
  • If the material used for one or both optical elements 710, 720 presents chromatic dispersion over an operational waveband or if the imaging lens 700 otherwise requires correction, a diffractive element 704 may be provided on one or more of the surfaces A, B, E, or F. For example, the diffractive element 704 may be on a surface having more optical power, for example surface A or surface E.
  • For the imaging lens 700, first optical element 710 includes a meniscus shape with the object side surface A being convex and the image side surface B being concave. Second optical element 720 includes a plano-convex shape with the object side surface E being convex and the image side surface F being planar. Surface A has positive power and surface B has negative power while the net effect of surfaces A and B combine to make optical element 710 positive overall. Surface E has positive power and optical element 720 is positive overall. Surface A includes a clear aperture of 1.395 mm and SAG over the clear aperture of 0.090 mm (90 μm). Surface B includes a clear aperture of 1.407 mm and SAG over the clear aperture is 0.077 mm (77 μm). Surface E includes a clear aperture of 1.950 mm and SAG over the clear aperture is 0.111 mm (111 μm). Thus, for the imaging lens 700, the maximum clear aperture is 1.95 mm, i.e., less than 30% greater than the sensor image diagonal (or than the image circle) of 1.7 mm, and the maximum SAG is 111 which is slightly larger than 100 μm.
  • Notably, in each of the designs 200, 300, 400, 700, the largest sag corresponds to the same lens surface that includes the largest clear aperture. The ratio (or percentage) of largest sag to largest clear aperture of imaging lenses 200, 300, 400, and 700 may be calculated as 4.4%, 3.2%, 3.1%, and 5.7%, respectively. Thus, ratio of largest sag to largest clear aperture for all imaging lenses 200, 300, 400, and 700 is less than 10% and, in all instances, less than 6%. A relatively small ratio of the largest sag to largest clear aperture may be desirable in certain manufacturing methods, including those described in the “Method of Making” section below. Certainly smaller sags are desirable for many lens manufacturing techniques as it may limit the amount of material that is machined in masters or molds. However, there may be a practical lower limit on the ratio of largest sag to largest clear aperture as some amount of power might be desired in a given design.
  • FIG. 10 illustrates a schematic side view of an imaging capturing system 850 in the TIR waveband in accordance with an embodiment. As illustrated in FIG. 10, the image capturing system 850 includes an imaging lens 800 and the sensor 830. In this particular embodiment, the sensor 830 is characterized by an even larger image sensor diagonal of about 3.4 mm. Accordingly, the overall size of imaging lens 800 is slightly larger than imaging lenses 200, 300, 400, and 700 described above.
  • The imaging lens 800 may include a first optical element 810 and a second optical element 820. In the schematic illustration of FIG. 10, a spacer (which would include surfaces C and D, see FIG. 6) between the first optical element 810 and the second optical element 820 has been omitted for clarity.
  • In this particular embodiment, three surfaces, here surfaces A, B, and F, have optical power therein. One, two, or all three surfaces may be aspheric. The imaging lens 800 may also include the aperture stop 802, which may have the same configuration/properties noted above for aperture stop 102. The f-number for the imaging lens 800 may be less than or about 1.4.
  • If the material used for one or both optical elements 810, 820 presents chromatic dispersion over an operational waveband or if the imaging lens 800 otherwise requires correction, a diffractive element 804 may be provided on one or more of the surfaces A, B, E, or F. For example, the diffractive element 804 may be on a surface having more optical power, for example surface A or surface F.
  • For the imaging lens 800, first optical element 810 includes a meniscus shape with the object side surface A being convex and the image side surface B being concave. Second optical element 820 includes a plano-convex shape with the object side surface E being planar and the image side surface F being convex. Surface A has positive power and surface B has negative power while the net effect of surfaces A and B combine to make optical element 810 positive overall. Surface F has positive power and optical element 820 is positive overall. Surface A includes a clear aperture of 1.999 mm and SAG over the clear aperture of 0.062 mm (62 μm). Surface B includes a clear aperture of 2.161 mm and SAG over the clear aperture is 0.037 mm (37 μm). Surface F includes a clear aperture of 3.045 mm and SAG over the clear aperture is 0.130 mm (130 μm). Thus, for the imaging lens 800, the maximum clear aperture is 3.045 mm, i.e., less than 30% greater than the sensor image diagonal (or than the image circle) of 3.4 mm, and the maximum SAG is 130 μm, which is 4.3% (i.e., less than 6%) of the largest clear aperture. As with imaging lenses 200, 300, 400, and 700, the largest clear aperture is on one surface of a plano-convex element 820.
  • As discussed above, it may be desirable in the case of wafer-based manufacturing to make the center thicknesses of the optical elements similar in size. In one example given above, optical elements 210 and 220 in imaging lens 200 include center thicknesses of 0.68 mm and 0.69 mm, respectively. In that particular example and in the case of the imaging lens 300 of FIG. 4 (center thicknesses of about 0.71 mm for each element 310, 320), the center thickness along the optical axis represents the thickest portion of the element. However, in the case of optical elements that include concave surfaces, the center thickness may not represent the thickest region of the optical element nor the largest thickness dimension of the element.
  • Referring once again to FIGS. 9 and 10, each of these imaging lenses 700, 800 include a concave surface B. In these examples, the center thickness does not reflect the thickest (along a direction parallel to the optical axis) region of the element. In FIGS. 9 and 10, optical elements 710 and 810 include a center thickness dimension labeled “CTR” and a peak-to-peak dimension labeled “P-P.” The P-P dimension reflects a largest distance parallel to the optical axis between the highest opposing surfaces of the elements 710, 810 within their respective clear apertures. In each case, the P-P dimension is larger than the CTR thickness dimension. Note, however that for optical elements 720, 820, the P-P dimension and CTR dimension are the same.
  • FIG. 11 illustrates a schematic side view of an imaging capturing system 950 in the TIR waveband in accordance with an embodiment. As illustrated in FIG. 11, the image capturing system 950 includes an imaging lens 900 and the sensor 930. The sensor 930 may include a sensor cover glass 932 and pixels in a sensor image plane 934. In this particular embodiment, the sensor 930 is characterized by a slightly larger image sensor diagonal of about 1.7 mm. Accordingly, the overall size of imaging lens 900 is slightly larger than imaging lenses 200, 300 and 400 described above.
  • In the schematic illustration of FIG. 11, a spacer (which would include surfaces C and D, see FIG. 6) between the first optical element 910 and the second optical element 920 has been omitted for clarity.
  • In this particular embodiment, two surfaces, here surfaces A and F, have optical power therein. One, two, or all three surfaces may be aspheric. The imaging lens 800 may also include an aperture stop 902, which may have the same configuration/properties noted above for aperture stop 202. The f-number for the imaging lens 400 may be less than or about 1.4.
  • If the material used for one or both optical elements 910, 920 presents chromatic dispersion over an operational waveband or if the imaging lens 900 otherwise requires correction, a diffractive element 904 may be provided on one or more of the surfaces A, B, E, or F. For example, the diffractive element 904 may be on a surface having more optical power, for example surface F.
  • For the imaging lens 900, the first and second optical elements 910, 920 are plano-covex elements, with the planar surfaces facing each other. In particular, first optical element 910 has a convex shape at the object side surface A and the second optical element 920 has a convex shape at the object side surface E being planar and the image side surface F being convex. Surfaces A and F have positive power. Surface A includes a clear aperture of 2.755 mm and SAG over the clear aperture of 0.064 mm (64 μm). Surface F includes a clear aperture of 3.111 mm and SAG over the clear aperture is 0.064 mm (64 μm). Thus, for the imaging lens 900, the maximum clear aperture is 3.111 mm, i.e., less than 30% greater than the sensor image diagonal (or than the image circle) of 3.4 mm, and the maximum SAG is 64 μm, which is 2.1% (i.e., less than 6%) of the largest clear aperture. As with imaging lenses 200, 300, 400, and 700, the largest clear aperture is on one surface of a plano-convex element 920.
  • Table II below includes relevant CTR and P-P dimensions for the imaging lenses 200, 300, 700, 800, 900 disclosed herein. Table II also includes a calculated percentage difference between the P-P thicknesses of the A-B element and the E-F element of each respective lens design.
  • TABLE II
    Representative Optical Element Thicknesses
    A-B A-B E-F E-F P-P
    Element Element Element Element Difference
    Imaging CTR P-P CTR P-P Between
    Lens Thickness Thickness Thickness Thickness Elements
    200 0.68 0.68 0.69 0.69 1%
    300 0.71 0.71 0.72 0.72 1%
    700 0.60 0.68 0.69 0.69 1%
    800 0.62 0.66 0.68 0.68 3%
    900 0.68 0.68 0.625 0.625 9%
  • An advantage of wafer-based manufacturing techniques is that they may yield thinner optical elements than other methods. Further, the high index nature of the optical materials disclosed herein may permit smaller sags and shallower lens curves. One method of quantifying these characteristics is to compare (as a percentage) the sag of a particular powered surface of the imaging lens to the overall maximum (P-P) thickness of the optical element on which that powered surface lies. Another method compares (again as a percentage) the overall maximum (P-P) thickness of an optical element to the clear aperture size of a given powered surfaces on that particular element. Both of these quantities are shown in the table below for the same imaging lenses 200, 300, 700, 800 included in Table II. Specifically, Table III provides the following dimension ratios (represented as percentages):
      • Ratio A—The overall maximum (P-P) thickness of optical element A-B to the maximum clear aperture of surface A
      • Ratio B—The overall maximum (P-P) thickness of optical element A-B to the maximum clear aperture of surface B
      • Ratio C—The overall maximum (P-P) thickness of optical element A-B to the maximum clear aperture of surface E or F (whichever is powered)
      • Ratio D—Sag of surface A of the imaging lens to the overall maximum (P-P) thickness of optical element A-B
      • Ratio E—Sag of surface B of the imaging lens to the overall maximum (P-P) thickness of optical element A-B
      • Ratio F—Sag of surface E or F (whichever is powered) of the imaging lens to the overall maximum (P-P) thickness of optical element E-F
  • TABLE III
    Representative Dimensions of Imaging Lenses
    Imaging
    Lens Ratio A Ratio B Ratio C Ratio D Ratio E Ratio F
    200 58.7% 47.5% 42.8% 1.2%  6.2% 10.3%
    300 60.8% 50.8% 49.9% 2.4%  5.5% 6.4%
    700 48.7% 48.3% 35.4% 13.2% 11.3% 16.1%
    800 33.0% 30.5% 22.3% 9.4%  5.6% 19.1%
    900 25.3% 21.7% 21.9% 9.4%    0% 9.4%
  • Notably, the numbers shown in the Ratio A, B, and C columns reveal that a significant advantage of wafer-based manufacturing techniques appears as image sensors (and hence, clear apertures) grow in size as in the case of imaging lenses 700, 800, and 900. In those particular imaging lenses, the overall maximum P-P thickness of each of the optical elements in imaging lenses 700, 800, and 900 is less than about 50% of the clear aperture size of the powered surfaces on those optical elements. In the case of the larger of the imaging lenses 800 and 900, that ratio is less than about 35% for all powered surfaces.
  • Another notable aspect of the ratios D, E, and F provided in Table III is that the ratio of sag of a particular powered surface of the imaging lens to the overall maximum (P-P) thickness of the optical element on which that powered surface lies is less than about 30%. More specifically, for the imaging lenses provided in Table III, this ratio is less than about 20%.
  • The tables below provide exemplary details on the depicted embodiments of imaging lenses 700, 800, 900, and others. Table IV includes General Lens Data for imaging lens 700. Table V provides Surface Data for surfaces A, B, E, and F of imaging lens 700. Table VI provides details relating to aspheric coefficients of known even aspheric equations used to describe aspheric lens surfaces (e.g., surfaces A, B, E of imaging lens 700) and can be analyzed using available software such as ZEMAX or CODE V. Tables VII, VIII, and IX present similar data for imaging lens 800.
  • TABLE IV
    General Lens Data For Imaging Lens 700
    Surfaces 8
    Stop 2
    System Aperture Float By Stop Size = 0.6976
    Apodization Uniform, factor = 0
    Temperature (C.) 20
    Pressure (ATM) 1
    Effective Focal Length 1.6010
    Back Focal Length 0.1971
    Total Track 3.2047
    Image Space F/# 1.1476
    Paraxial Working F/# 1.1476
    Working F/# 1.1009
    Image Space NA 0.3994
    Stop Radius 0.6976
    Paraxial Image Height 0.8500
    Paraxial Magnification 0.0000
    Entrance Pupil 1.3951
    Diameter
    Entrance Pupil 0.0000
    Position
    Exit Pupil Diameter 2.3749
    Exit Pupil Position −2.6293
    Field Type Real Image height in Millimeters
    Maximum Radial 0.85
    Field
    Primary Wavelength 10.5 μm
    Lens Units Millimeters
    Angular Magnification 0.5875
  • TABLE V
    Surface Data For Imaging Lens 700
    Sur- Ra- Thick- Mate- Diam-
    face Type dius ness rial eter Conic Note
    OBJ STANDARD Inf. Infinity 0.000 0
    1 STANDARD Inf. 0.000 1.543
    STO EVENASPH Inf. 0.604 SILI- 1.395 0 Surface
    CON A
    3 EVENASPH Inf. 0.659 1.407 0 Surface
    B
    4 EVENASPH Inf. 0.690 SILI- 1.950 0 Surface
    CON E
    5 EVENASPH Inf. 0.526 1.898 0 Surface
    F
    6 STANDARD Inf. 0.50-0.75 SILI- 1.735 0 Cover
    CON
    7 STANDARD Inf. 0.101 1.693 0
    IMA STANDARD Inf. 1.665 0
  • TABLE VI
    Asphere Coefficients For Elements 710 and 720 of Imaging Lens 700
    Surface STO EVENASPH
    Coefficient on r{circumflex over ( )} 2 0.20792788
    Coefficient on r{circumflex over ( )} 4 −0.10368648
    Coefficient on r{circumflex over ( )} 6 0.28308973
    Coefficient on r{circumflex over ( )} 8 −0.35822562
    Coefficient on r{circumflex over ( )}10 −0.22014559
    Coefficient on r{circumflex over ( )}12 0.52411507
    Coefficient on r{circumflex over ( )}14 0
    Coefficient on r{circumflex over ( )}16 0
    Aperture Floating Aperture
    Maximum Radius 0.69755287
    Surface 3 EVENASPH
    Coefficient on r{circumflex over ( )} 2 0.20298147
    Coefficient on r{circumflex over ( )} 4 −0.41026658
    Coefficient on r{circumflex over ( )} 6 2.9954506
    Coefficient on r{circumflex over ( )} 8 −13.711652
    Coefficient on r{circumflex over ( )}10 35.014635
    Coefficient on r{circumflex over ( )}12 −47.46132
    Coefficient on r{circumflex over ( )}14 26.660403
    Coefficient on r{circumflex over ( )}16 0
    Surface 4 EVENASPH
    Coefficient on r{circumflex over ( )} 2 0.12748631
    Coefficient on r{circumflex over ( )} 4 0.065277268
    Coefficient on r{circumflex over ( )} 6 −0.50553199
    Coefficient on r{circumflex over ( )} 8 1.477785
    Coefficient on r{circumflex over ( )}10 −2.2472389
    Coefficient on r{circumflex over ( )}12 1.8033722
    Coefficient on r{circumflex over ( )}14 −0.71809312
    Coefficient on r{circumflex over ( )}16 0.11408192
  • TABLE VII
    General Lens Data For Imaging Lens 800
    Surfaces 8
    Stop 2
    System Aperture Float By Stop Size = 0.999359
    Apodization Uniform, factor = 0
    Temperature (C.) 20
    Pressure (ATM) 1
    Effective Focal Length 2.8243
    Back Focal Length 0.4205
    Total Track 4.9353
    Image Space F/# 1.4131
    Paraxial Working F/# 1.4131
    Working F/# 1.3843
    Image Space NA 0.3336
    Stop Radius 0.9994
    Paraxial Image Height 1.7000
    Paraxial Magnification 0.0000
    Entrance Pupil Diameter 1.9987
    Entrance Pupil Position 0.0000
    Exit Pupil Diameter 3.5495
    Exit Pupil Position −4.8951
    Field Type Real Image height in Millimeters
    Maximum Radial Field 1.7
    Primary Wavelength 10.5 μm
    Lens Units Millimeters
    Angular Magnification 0.5631053
  • TABLE VIII
    Surface Data For Imaging Lens 800
    Sur- Ra- Thick- Mate- Diam-
    face Type dius ness rial eter Conic Note
    OBJ STANDARD Inf. Infinity 0.000 0
    1 STANDARD Inf. 0.000 2.121 0
    STO EVENASPH Inf. 0.624 SILI- 1.999 0 Surface
    CON A
    3 EVENASPH Inf. 1.143 2.161 0 Surface
    B
    4 EVENASPH Inf. 0.680 SILI- 2.937 0 Surface
    CON E
    5 EVENASPH Inf. 1.588 3.045 0 Surface
    F
    6 STANDARD Inf. 0.50-0.75 SILI- 3.166 0 Cover
    CON
    7 STANDARD Inf. 0.300 3.235 0
    IMA STANDARD Inf. 3.379 0
  • TABLE IX
    Asphere Coefficients For Elements 810 and 820 of Imaging Lens 800
    Surface STO EVENASPH
    Coefficient on r{circumflex over ( )} 2 0.078891323
    Coefficient on r{circumflex over ( )} 4 −0.012321811
    Coefficient on r{circumflex over ( )} 6 −0.004856381
    Coefficient on r{circumflex over ( )} 8 −0.000119317
    Coefficient on r{circumflex over ( )}10 0.000200377
    Coefficient on r{circumflex over ( )}12 0
    Coefficient on r{circumflex over ( )}14 0
    Coefficient on r{circumflex over ( )}16 0
    Aperture Floating Aperture
    Maximum Radius 0.99935902
    Surface 3 EVENASPH
    Coefficient on r{circumflex over ( )} 2 0.058798864
    Coefficient on r{circumflex over ( )} 4 −0.021036329
    Coefficient on r{circumflex over ( )} 6 −0.008045456
    Coefficient on r{circumflex over ( )} 8 0.016800284
    Coefficient on r{circumflex over ( )}10 −0.009958394
    Coefficient on r{circumflex over ( )}12 0
    Coefficient on r{circumflex over ( )}14 0
    Coefficient on r{circumflex over ( )}16 0
    Surface 5 EVENASPH
    Coefficient on r{circumflex over ( )} 2 −0.063406934
    Coefficient on r{circumflex over ( )} 4 0.002492598
    Coefficient on r{circumflex over ( )} 6 0.000466197
    Coefficient on r{circumflex over ( )} 8 −0.00020842
    Coefficient on r{circumflex over ( )}10 6.15E−05
    Coefficient on r{circumflex over ( )}12 0
    Coefficient on r{circumflex over ( )}14 0
    Coefficient on r{circumflex over ( )}16 0
  • TABLE X
    General Lens Data For Imaging Lens 900
    Surfaces 8
    Stop 2
    System Aperture Float By Stop Size = 1.37726
    Apodization Uniform, factor = 0
    Temperature (C.) 20
    Pressure (ATM) 1
    Effective Focal Length 3.009397
    Back Focal Length 0.1251376
    Total Track 6.000279
    Image Space F/# 1.092527
    Paraxial Working F/# 1.092527
    Working F/# 1.094175
    Image Space NA 0.4161447
    Stop Radius 1.377265
    Paraxial Image Height 0.85
    Paraxial Magnification 0.0000
    Entrance Pupil Diameter 2.754529
    Entrance Pupil Position 0.0000
    Exit Pupil Diameter 11.89146
    Exit Pupil Position 13.01588
    Field Type Real Image height in Millimeters
    Maximum Radial Field 0.85
    Primary Wavelength 10.5 μm
    Lens Units Millimeters
    Angular Magnification −0.2316557
  • TABLE XI
    Surface Data For Imaging Lens 900
    Sur- Ra- Thick- Mate- Diam-
    face Type dius ness rial eter Conic Note
    OBJ STANDARD Inf. Infinity 0.000 0
    1 STANDARD Inf. 0.000 2.829748 0
    STO EVENASPH Inf. 0.68 SILI- 2.754529 0 Sur-
    CON face A
    3 EVENASPH Inf. 2.914433 2.8121 0 Sur-
    face B
    4 EVENASPH Inf. 0.680 SILI- 3.096479 0 Sur-
    CON face E
    5 EVENASPH Inf. 0.9998465 3.111283 0 Sur-
    face F
    6 STANDARD Inf. 0.50-0.75 SILI- 1.995771 0 Cover
    CON
    7 STANDARD Inf. 0.101 1.83606 0
    IMA STANDARD Inf. 1.7 0
  • TABLE XII
    Asphere Coefficients For Elements 910 and 920 of Imaging Lens 900
    Surface STO EVENASPH
    Coefficient on r{circumflex over ( )} 2 0.035302375
    Coefficient on r{circumflex over ( )} 4 −0.00073607116
    Coefficient on r{circumflex over ( )} 6 −4.3193951e−005
    Coefficient on r{circumflex over ( )} 8 −0.000119317
    Coefficient on r{circumflex over ( )}10 0.000200377
    Coefficient on r{circumflex over ( )}12 0
    Coefficient on r{circumflex over ( )}14 0
    Coefficient on r{circumflex over ( )}16 0
    Aperture Floating Aperture
    Maximum Radius 1.3772646
    Surface 5 EVENASPH
    Coefficient on r{circumflex over ( )} 2 −0.076900871
    Coefficient on r{circumflex over ( )} 4 0.0048129308
    Coefficient on r{circumflex over ( )} 6 −0.00048939725
    Coefficient on r{circumflex over ( )} 8 0
    Coefficient on r{circumflex over ( )}10 0
    Coefficient on r{circumflex over ( )}12 0
    Coefficient on r{circumflex over ( )}14 0
    Coefficient on r{circumflex over ( )}16 0
  • Method of Making
  • One or both of the optical elements noted above may be silicon. Any one, two, or all of the lens surfaces noted above may be made using, e.g., the stamp and transfer technique disclosed in U.S. Pat. No. 6,027,595, which is hereby incorporated by reference in its entirety. As noted therein, these surfaces may be created on the wafer level, i.e., a plurality of these surfaces may be replicated and transferred to a wafer simultaneously and later singulated to realize individual optical elements. When fabricated on a wafer level, singulation may result in a circular or non-circular, e.g., polygonal, die. However, such techniques may not allow ready realization of more complicated lens shapes, e.g., aspheric lenses. Depending on the material of the optical element, other techniques for forming one or more of the lens surfaces may include diamond turning or molding, e.g., high temperature molding.
  • As another alternative to creating the imaging systems described above, a method illustrated in FIG. 12 may be employed. In operation S10, a wafer-level master may be created. The wafer-level master may be formed by diamond turning a metal master, e.g., a nickel plated master. The wafer-level master may have the desired lens profiles, or a perturbed form of the desired lens profiles, therein.
  • Due to the nature of the diamond turning process, in which the metal is shaped with a diamond tool that has a finite well defined radius of curvature, the convex lens shapes have a transitional concave blend zone around the clear aperture. Similarly, concave lens shapes may have a transitional convex blend zone around the clear aperture. In order to maintain reasonable cut speeds and process durability the diamond tools typically have radii of curvatures greater than 100 micrometers, which will result in the blend zone with comparable dimensions. This blend zone may be a continuous blend region of a concave or convex portion with a curvature of less than 10 microns terminating to a flat field, i.e., slope of zero degrees. The flat field may be higher than the lowest point of the lens or blend zone.
  • In addition, diamond turning of metals can result in very fine surface finish with typical roughness average (Ra) values less than 20 nm, e.g., 10 nm. In contrast, diamond turning a silicon substrate results in reduced surface finish quality, typically having roughness values no better than around 40 nm Ra.
  • In operation S20, a daughter replica is formed. The wafer-level master may be used to form numerous daughter replicas. The daughter replicas will have negative shapes of the desired lenses. The daughter replica serves as a replication stamp for generating polymer lens shapes on Si substrate. Forming the daughter replica may include overmolding the metal master using a thermoset or UV curable polymer which is applied onto the surface of the master in the form of liquid and undergoes a phase transition once exposed to an elevated temperatures or ultraviolet radiation. Such an operation results in a conformity in transferring the diamond turned surface of the metal master into the stamp polymer surface which results in Ra values as small as the one of the diamond turned surface of the master or even lower.
  • In operation S30, the stamp, which has negative shapes of the desired lenses, is used to cast polymer lens shapes onto a Si substrate to create lens shapes of the same polarity (convex) as in the metal master. Similar to that explained above, the surface finish of such a polymer lens is comparable to that of the master and the stamp.
  • Die features, which include alignment marks for use in machine vision assembly, individual die identifiers, and a precise mechanical edge, may be formed before or after the stamping the replica. Thus, each die can include unique features that are not on the wafer-level master. Alternatively, these features could be provided, e.g., machined, laser scribed, lithographically created, or otherwise formed, on the wafer-level master itself. Examples of die features are illustrated in FIG. 13. As can be seen therein, these die feature may include alignment marks, e.g., die alignment marks 1010 and wafer alignment marks 1020, precise mechanical edges 1030, and die identifiers 1040.
  • In operation S40 a, before stamping the polymer, die features may be patterned in photoresist on the substrate. Then, the polymer may be provided between the daughter and the substrate, i.e., the photoresist die features may be overmolded, and then, in operation S50, both the die features and the lens shapes may be transferred into the wafer.
  • In operation S40 b, after replicating, a hard mask, e.g., chromium (Cr) would be deposited on the replicated surface. The hard mask would then be coated and patterned using standard positive resist lithography processing. The mask design would be such that the clear apertures of the lenses are protected and die features are patterned. After developing the resist and etching the hard mask expose the replicated polymer. This polymer will then be plasma etched in a highly selective chemistry not etching the hard mask and stopping once the silicon is exposed. Finally the resist and hard mask will be stripped leaving the patterned polymer ready to be transfer etched into the substrate, including the lens shapes and die features.
  • In operation S50, the polymer lens shapes and the die features are transferred into the bulk of the Si substrate, e.g., by plasma etch process. Due to the fact that the etching of both polymer and silicon is mainly atomic level chemical process there is no degradation in the surface finish of the resultant etched lenses. If there are to be features on the other side of the substrate, the process may begin again. Through processes S20, S30 and S50, material shrinkage in polymeric materials as well as imperfect anisotropy in the transfer process will often result in finite changes in the desired lens shape. The nature of these changes may characterized and the initial lens shape machined into the wafer-level master can be perturbed to compensate for these known process-induced changes. The resulting wafer-level lenses after step S50 are thus substantially closer to the target prescription.
  • In operation S60, a coating, e.g., an anti-reflective coating or a long pass filter that filters out short and/or mid-range infrared wavelengths, e.g., between 1.1 and 5 microns, e.g., 1.1 to 2 microns, may be provided on the wafer. For example, such a coating may be provided on both sides of the substrate, even if both sides do not have an optical element or other features thereon.
  • In operation S70, the substrate may be singulated to create multiple individual dies. If the surface is to have an aperture stop thereon, this aperture stop may be provided on top of the coating before singulation. Such singulation may include etching, dicing, scribe and break, and so forth. When using etching, a die having any desired shape, e.g., circular, may be realized. Such singulation by etching may be realized using Plasma-Therm's MDS-100. While etching may be more expensive than dice or scribe and break, etching may be more precise, and later assembly of a circular dies may be simpler, edge defects may be minimized or eliminated, and readily available barrels and more accurate alignment in barrels may be employed. When using etching, precise mechanical edges 1030 may not be needed, as the die edges may be defect free.
  • In operation S70, as illustrated in FIG. 6, these singulated dies may be provided in a cylindrical barrel.
  • FIG. 13 illustrates a top view of substrate having die features thereon.
  • In using silicon to create the lenses used for TIR applications, measuring and controlling for the resistivity of the silicon may aid in realizing higher yields. In particular, in the TIR band, there are tradeoffs between transmission, for which low resistivity is good, and etch uniformity, for which high resistivity is preferred. Using silicon with a resistivity in a range, e.g., 0.1 Ωcm to 100 Ωcm, e.g., 1-10 Ωcm, both transmission and manufacturability of TIR lenses may be improved. Further, n-type and p-type silicon behave differently with respect to doping and transmission, with n-type silicon having better transmission at a given resistivity. This is illustrated in FIG. 14, in which the wafers each have a 2 Ωcm resistivity.
  • In addition to fabrication of surfaces on a wafer level, as disclosed in U.S. Pat. No. 6,096,155, which is hereby incorporated by reference in its entirety, two or more wafers, each having a plurality of optical elements thereon may be secured together along the z-direction before singulation, such that individual optical systems each have an optical element from each wafer. A spacer wafer may be provided between the two wafers having the optical elements thereon. Alternatively, one of the wafers having optical elements thereon and the spacer wafer may be secured and singulated, and then secured to another wafer having optical elements thereon, or one of the wafers having optical elements thereon may have spacers die bonded thereon and then secured to the other wafer having optical elements thereon.
  • In some embodiments, optical elements may be configured for use with TIR image sensors that are sensitive to wavelengths outside of the operational TIR band. For example, certain TIR image sensors might also detect energy in adjacent SWIR wavelength bands. In some instances, improved imaging performance in the TIR operational band may be achieved if one or more surfaces in the imaging lens include filter coatings, anti-reflection coatings, and the like. Additionally, when only LWIR or MWIR is to be detected, these wavelengths outside the waveband of interest may be filtered out. For example, certain surfaces of the optical elements that are planar (e.g., not molded or etched) may be easily processed with optical coatings. Certainly, filtering and anti-reflection coatings may be applied and may be desirable on powered surfaces as well.
  • Further, while the above designs used all silicon lenses, a silicon lens could be used in conjunction with a more traditional material for TIR imaging. Additionally, while the above methods are directed to wafer level manufacturing that result in circular or non-circular dies, a wafer level created die could be used with a discretely manufactured lens.
  • Devices Incorporating TIR Imaging Lens
  • FIG. 7 illustrates a perspective view of a computer 680 having an TIR imaging system 600 integrated therein. FIG. 8 illustrates a front and side view of a mobile telephone 690 having the TIR imaging system 600 integrated therein. Of course, the TIR imaging system 600 may be integrated at other locations and with other electronic devices, e.g., mobile devices, entertainment systems, standalone thermal imagers, and so forth, other than those shown. The TIR imaging system 600 may be any of those noted above.
  • As used herein, the term “and/or” includes any and all combinations of one or more of the associated listed items. Further, although terms such as “first,” “second,” “third,” etc., may be used herein to describe various elements, components, regions, layers and/or sections, these elements, components, regions, layers and/or sections should not be limited by these terms. These terms are only used to distinguish one element, component, region, layer and/or section from another. Thus, a first element, component, region, layer and/or section could be termed a second element, component, region, layer and/or section without departing from the teachings of the embodiments described herein.
  • Spatially relative terms, such as “beneath,” “below,” “lower,” “above,” “upper,” etc., may be used herein for ease of description to describe the relationship of one element or feature to another element(s) or feature(s), as illustrated in the figures. It will be understood that the spatially relative terms are intended to encompass different orientations of the device in use or operation in addition to the orientation depicted in the figures. For example, if the device in the figures is turned over, elements described as “below” or “beneath” other elements or features would then be oriented “above” the other elements or features. Thus, the exemplary term “below” can encompass both an orientation of above and below. The device may be otherwise oriented (rotated 90 degrees or at other orientations) and the spatially relative descriptors used herein interpreted accordingly.
  • As used herein, the singular forms “a,” “an” and “the” are intended to include the plural forms as well, unless the context clearly indicates otherwise. It will be further understood that the terms “comprises,” “comprising,” “includes,” and “including” specify the presence of stated features, integers, steps, operations, elements, components, etc., but do not preclude the presence or addition thereto of one or more other features, integers, steps, operations, elements, components, groups, etc.
  • Embodiments of the present invention have been disclosed herein and, although specific terms are employed, they are used and are to be interpreted in a generic and descriptive sense only and not for purpose of limitation. In some instances, as would be apparent to one of ordinary skill in the art as of the filing of the present application, features, characteristics, and/or elements described in connection with a particular embodiment may be used singly or in combination with features, characteristics, and/or elements described in connection with other embodiments unless otherwise specifically indicated. Accordingly, it will be understood by those of ordinary skill in the art that various changes in form and details may be made without departing from the spirit and scope of the present invention as set forth in the following claims.

Claims (20)

1. An imaging lens for use with an operational waveband over any subset of 7.5-13.5 μm, the imaging lens comprising:
a silicon element having an image side surface and an object side surface, at least one of the image side and object side surfaces being an optically powered surface with a lens having a surface finish with a roughness of less than 20 nm Ra.
2. The imaging lens as claimed in claim 1, wherein the optically powered surface includes a blend region beyond a clear aperture of the lens, the blend region terminating at a flat region.
3. The imaging lens as claimed in claim 2, wherein the flat region is higher than a lowest point of the lens.
4. The imaging lens as claimed in claim 3, wherein the flat region is higher than a lowest point of the blend region.
5. The imaging lens as claimed in claim 1, wherein the silicon element is non-circular.
6. The imaging lens as claimed in claim 5, wherein the silicon element is polygonal.
7. The imaging lens as claimed in claim 1, wherein the silicon element further includes die features on at least one of the image side and object side surfaces.
8. The imaging lens as claimed in claim 7, wherein the die features include at least one of a die alignment mark, a wafer alignment mark, and a die identifier.
9. The imaging lens as claimed in claim 1, further comprising:
an optical element having an image side surface and an object side surface, at least one of the image side and object side surfaces being an optically powered surface.
10. The imaging lens as claimed in claim 9, wherein the optical element made of silicon.
11. The imaging lens as claimed in claim 10, wherein the optical element is non-circular.
12. The imaging lens as claimed in claim 1, wherein the silicon element has a resistivity between 0.1 and 100 Ωcm.
13. The imaging lens as claimed in claim 12, wherein the silicon element has a resistivity between 1 and 3.5 Ωcm.
14. The imaging lens as claimed in claim 12, wherein the silicon element is n-type silicon.
15. The imaging lens as claimed in claim 1, wherein the optically powered surface is aspheric.
16.-42. (canceled)
43. An imaging lens for use with an operational waveband over any subset of 7.5-13.5 μm, the imaging lens comprising:
a silicon element having an image side surface and an object side surface, at least one of the image side and object side surfaces being an optically powered surface, the silicon element having a resistivity between 0.1 and 100 Ωcm.
44. The imaging lens as claimed in claim 43, wherein the silicon element has a resistivity between 1 and 10 Ωcm.
45. An imaging system for use with an operational waveband over any subset of 7.5-13.5 μm, the imaging system comprising:
a sensor; and
a silicon element having an image side surface and an object side surface, at least one of the image side and object side surfaces being an optically powered surface, the silicon element having a resistivity between 0.1 and 100 Ωcm.
46. The imaging system as claimed in claim 45, further comprising a non-silicon element having an image side surface and an object side surface, at least one of the image side and object side surfaces being an optically powered surface.
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