IP Library Granted Patent US 9,069,105
Granted Patent B2
US 9,069,105 · App. 14/042,755 · Granted Jun 30, 2015

Low thermal stress birefringence imaging lens

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Quick Facts
Patent No.
US 9,069,105
App. No.
14/042,755
Granted
Jun 30, 2015
Kind
B2
Abstract

An imaging lens having reduced susceptibility to thermally-induced stress birefringence for imaging an object plane to an image plane; comprising a plurality of lens elements. The lens element that experiences a highest optical power density is fabricated using a glass having a negligible susceptibility to thermal stress birefringence as characterized by the thermal stress birefringence metric. The other lens elements are fabricated using glasses having a negligible or a moderate susceptibility to thermal stress birefringence, at least one of the other lens elements being fabricated using a glass having a moderate susceptibility to thermal stress birefringence.

Claims (33)

1. A lens system having reduced susceptibility to thermally-induced stress birefringence for imaging an object plane onto an image plane comprising;

a plurality of lens elements arranged to image the object plane onto the image plane,

wherein the lens element that experiences a highest optical power density from transiting light when the lens system is used to image the object plane onto the image plane is fabricated using a glass having a negligible susceptibility to thermal stress birefringence as characterized by a thermal stress birefringence metric;

wherein the other lens elements are fabricated using glasses having a negligible or a moderate susceptibility to thermal stress birefringence as characterized by the thermal stress birefringence metric, at least one of the other lens elements being fabricated using a glass having a moderate susceptibility to thermal stress birefringence;

wherein the thermal stress birefringence metric has the form:

M 1 =ρκαE /( K ·(1−μ).

where ρ is a coefficient of thermal expansion of the glass, κ is a stress optical coefficient of the glass, α is a light absorption coefficient of the glass, E is a modulus of elasticity of the glass, K is a thermal conductivity of the glass, and μ is a Poisson's ratio of the glass; and

wherein the glasses having the negligible susceptibility to thermal stress birefringence satisfy the condition that M 1 ≦0.1×10 −6 W −1 and the glasses having the moderate susceptibility to thermal stress birefringence satisfy the condition that 0.1×10 −6 W −1 ≦M 1 <1.6×10 −6 W −1 .

2. The lens system of claim 1 further including an aperture stop positioned between the object plane and the image plane, the lens elements being arranged in two lens groups, with one lens group on each side of the aperture stop; wherein the lens elements in the two lens group that are proximate to the aperture stop are fabricated using glasses having the negligible susceptibility to thermal stress birefringence.

3. The lens system of claim 1 wherein one or more of the lens elements are assembled into at least one lens element housing, and where at least one of the lens elements or lens element housings is cooled.

4. The lens system of claim 1 wherein the thermal stress birefringence metric further includes at least one additional factor relating to the optical power density in the lens element, a thickness of the lens element or a clear aperture size of the lens element.

5. The lens system of claim 1 wherein the glasses used to fabricate the lens elements are selected based, at least in part, on evaluating an intensity-weighted thermal stress birefringence metric:

M 2 =I 0 LM 1

where I 0 is an optical power density in the glass, and L is a thickness of the lens element.

6. The lens system of claim 1 wherein all of the other lens elements are fabricated using glasses that satisfy the condition that M 1 ≦0.8×10 −6 W −1 .

7. The lens system of claim 1 wherein at least one of the other lens elements is fabricated using a glass that satisfies the condition that 0.8×10 −6 W −1 ≦M 1 ≦1.6×10 −6 W −1 .

8. The lens system of claim 1 where the glasses used to fabricate the lens elements are also selected for properties that relate to achieving adequate image quality performance, including refractive index and chromatic dispersion properties.

9. The lens system of claim 1 wherein one or more surfaces of one or more of the lens elements have an aspheric surface profile.

10. The lens system of claim 1 wherein the lens system is used to image polarized light.

11. The lens system of claim 1 wherein the lens system is a relay lens or a projection lens for a digital projection system.

12. The lens system of claim 1 wherein the lens system is an imaging lens system or an illumination lens system.

13. The lens system of claim 1 wherein the lens system is a combined reflective-refractive optical system that includes at least one reflective optical element.

14. A lens system having reduced susceptibility to thermally-induced stress birefringence for imaging an object plane onto an image plane comprising;

a plurality of lens elements arranged to image the object plane onto the image plane;

wherein the lens element that experiences a highest optical power density from transiting light when the lens system is used to image the object plane onto the image plane is fabricated using a glass having a negligible susceptibility to thermal stress birefringence as characterized by a thermal stress birefringence metric;

wherein the other lens elements are fabricated using glasses having a negligible or a moderate susceptibility to thermal stress birefringence as characterized by the thermal stress birefringence metric, at least one of the other lens elements being fabricated using a glass having a moderate susceptibility to thermal stress birefringence;

wherein the thermal stress birefringence metric is given by:

M 1 ′=ρκα.

where ρ is the coefficient of thermal expansion, κ is the stress optical coefficient, and α is the light absorption coefficient; and

wherein the glasses having the negligible susceptibility to thermal stress birefringence satisfy the condition that M 1 ′≦0.0008×10 −12 mm/(N K) and the glasses having the moderate susceptibility to thermal stress birefringence satisfy the condition that 0.0008×10 −12 mm/(N K)≦M 1 ′≦0.01×10 −12 mm/(N K).

15. The lens system of claim 14 where all of the other lens elements are fabricated using glasses that satisfy the condition that M 1 ′0.005×10 −12 mm/(N K).

16. The lens system of claim 14 where at least one of the other lens elements is fabricated using a glass that satisfies the condition that 0.005×10 −12 mm/(N K)≦M 1 ′0.01×10 −12 mm/(N K).

17. The lens system of claim 14 where the glasses used to fabricate the lens elements are also selected for properties that relate to achieving adequate image quality performance, including refractive index and chromatic dispersion properties.

Assignments (16)
SECURITY INTEREST Recorded Jul 14, 2025
From: IMAX CORPORATION
To: WELLS FARGO BANK, NATIONAL ASSOCIATION, AS ADMINISTRATIVE AGENT
Reel/Frame 071935/0813 →
ASSIGNMENT OF ASSIGNOR'S INTEREST Recorded Aug 12, 2024
From: IMAX THEATRES INTERNATIONAL LIMITED
To: IMAX CORPORATION
Reel/Frame 068553/0650 →
SECURITY INTEREST Recorded Apr 29, 2022
From: IMAX THEATRES INTERNATIONAL LIMITED
To: WELLS FARGO BANK, NATIONAL ASSOCIATION, AS ADMINISTRATIVE AGENT
Reel/Frame 059824/0318 →
RELEASE OF SECURITY INTEREST Recorded Jan 24, 2020
From: BARCLAYS BANK PLC
To: EASTMAN KODAK COMPANY; FAR EAST DEVELOPMENT LTD.; FPC INC.; KODAK (NEAR EAST) INC.; KODAK AMERICAS LTD.; KODAK REALTY INC.; LASER PACIFIC MEDIA CORPORATION; QUALEX INC.; KODAK PHILIPPINES LTD.; NPEC INC.
Reel/Frame 052773/0001 →
RELEASE OF SECURITY INTEREST Recorded Jul 30, 2019
From: JP MORGAN CHASE BANK, N.A., AS ADMINISTRATIVE AGENT
To: EASTMAN KODAK COMPANY; FAR EAST DEVELOPMENT LTD.; PFC, INC.; KODAK (NEAR EAST), INC.; KODAK AMERICAS, LTD.; KODAK IMAGING NETWORK, INC.; KODAK PORTUGUESA LIMITED; KODAK REALTY, INC.; LASER PACIFIC MEDIA CORPORATION; PAKON, INC.; QUALEX, INC.; KODAK PHILIPPINES, LTD.; NPEC, INC.; CREO MANUFACTURING AMERICA LLC; KODAK AVIATION LEASING LLC
Reel/Frame 049901/0001 →
RELEASE OF SECURITY INTEREST Recorded Jul 22, 2019
From: JP MORGAN CHASE BANK, N.A., AS ADMINISTRATIVE AGENT
To: QUALEX, INC.; EASTMAN KODAK COMPANY; FAR EAST DEVELOPMENT LTD.; FPC, INC.; KODAK (NEAR EAST), INC.; KODAK AMERICAS, LTD.; KODAK IMAGING NETWORK, INC.; KODAK PORTUGUESA LIMITED; KODAK REALTY, INC.; LASER PACIFIC MEDIA CORPORATION; PAKON, INC.; KODAK PHILIPPINES, LTD.; NPEC, INC.; CREO MANUFACTURING AMERICA LLC; KODAK AVIATION LEASING LLC
Reel/Frame 050239/0001 →
ASSIGNMENT OF ASSIGNOR'S INTEREST Recorded Jun 20, 2016
From: IMAX CORPORATION
To: IMAX EMEA LIMITED
Reel/Frame 039082/0825 →
CHANGE OF NAME Recorded Jun 20, 2016
From: IMAX EMEA LIMITED
To: IMAX THEATRES INTERNATIONAL LIMITED
Reel/Frame 039083/0221 →
ASSIGNMENT OF ASSIGNOR'S INTEREST Recorded Feb 22, 2016
From: EASTMAN KODAK COMPANY
To: IMAX CORPORATION
Reel/Frame 037791/0063 →
RELEASE OF SECURITY INTEREST Recorded Feb 12, 2016
From: JP MORGAN CHASE BANK, N.A.
To: EASTMAN KODAK COMPANY
Reel/Frame 037809/0278 →
RELEASE OF SECURITY INTEREST Recorded Feb 12, 2016
From: BARCLAYS BANK PLC
To: EASTMAN KODAK COMPANY
Reel/Frame 037809/0285 →
RELEASE OF SECURITY INTEREST Recorded Feb 12, 2016
From: BANK OF AMERICA, N.A.
To: EASTMAN KODAK COMPANY
Reel/Frame 037809/0296 →
SECURITY INTEREST Recorded Mar 28, 2014
From: EASTMAN KODAK COMPANY; FAR EAST DEVELOPMENT LTD.; FPC INC.; KODAK (NEAR EAST), INC.; KODAK AMERICAS, LTD.; KODAK IMAGING NETWORK, INC.; KODAK PORTUGUESA LIMITED; KODAK REALTY, INC.; LASER-PACIFIC MEDIA CORPORATION; QUALEX INC.; KODAK PHILIPPINES, LTD.; NPEC INC.; KODAK AVIATION LEASING LLC
To: BARCLAYS BANK PLC, AS ADMINISTRATIVE AGENT
Reel/Frame 032553/0398 →
SECURITY INTEREST Recorded Mar 28, 2014
From: EASTMAN KODAK COMPANY; FAR EAST DEVELOPMENT LTD.; FPC INC.; KODAK (NEAR EAST), INC.; KODAK AMERICAS, LTD.; KODAK IMAGING NETWORK, INC.; KODAK PORTUGUESA LIMITED; KODAK REALTY, INC.; LASER-PACIFIC MEDIA CORPORATION; QUALEX INC.; KODAK PHILIPPINES, LTD.; NPEC INC.; KODAK AVIATION LEASING LLC
To: BANK OF AMERICA N.A., AS AGENT
Reel/Frame 032553/0152 →
SECURITY INTEREST Recorded Mar 28, 2014
From: EASTMAN KODAK COMPANY; FAR EAST DEVELOPMENT LTD.; FPC INC.; KODAK (NEAR EAST). INC.; KODAK AMERICAS, LTD.; KODAK IMAGING NETWORK, INC.; KODAK PORTUGUESA LIMITED; KODAK REALTY, INC.; LASER-PACIFIC MEDIA CORPORATION; QUALEX INC.; KODAK PHILIPPINES, LTD.; NPEC INC.; KODAK AVIATION LEASING LLC
To: JPMORGAN CHASE BANK, N.A. AS ADMINISTRATIVE AGENT
Reel/Frame 032552/0741 →
ASSIGNMENT OF ASSIGNOR'S INTEREST Recorded Oct 1, 2013
From: KURTZ, ANDREW F.; BIETRY, JOSEPH RAYMOND; SILVERSTEIN, BARRY DAVID
To: EASTMAN KODAK
Reel/Frame 031315/0358 →