Image sensor modules and luminaires incorporating the same
Asymmetrical lenses are provided having design to mitigate or eliminate field of view mismatch between image sensor modules and luminaires incorporating the image sensor modules. Briefly, an asymmetrical lens comprises an optical axis and a front surface comprising a first set of normal axes (x, y) in a plane normal to the optical axis and a negative radius of curvature or positive radius of curvature along each of the normal axes (x, y). The asymmetrical lens also comprises a back surface comprising a second set of normal axes (x′, y′) in the plane normal to the optical axis and a negative radius of curvature or positive radius of curvature along each of the normal axes (x′, y′), wherein the asymmetrical lens has negative refractive power or positive refractive power in each of an x-axis and y-axis of an image plane of the asymmetrical lens.
1. An asymmetrical lens of an image sensor module comprising:
an optical axis;
a front surface comprising a first set of normal axes (x, y) in a plane normal to the optical axis and a negative radius of curvature or positive radius of curvature along each of the normal axes (x, y); and
a back surface comprising a second set of normal axes (x′,y′) in the plane normal to the optical axis and a negative radius of curvature or positive radius of curvature along each of the normal axes (x′,y′),
wherein the asymmetrical lens has positive refractive power in the x-axis and negative refractive power in the y-axis of the image plane of the asymmetrical lens,
wherein refractive power in the x-axis and the y-axis of the image plane differ, and
wherein the front surface comprises a negative radius of curvature normal to a positive radius of curvature along the first set of normal axes (x, y) and the back surface comprise a negative radius of curvature normal to a positive radius of curvature along the second set of normal axes (x′, y′).
2. The asymmetrical lens of claim 1 , wherein the front surface comprises negative radius of curvature along each of the first set of normal axes (x, y) and the back surfaces comprises negative radius of curvature along each of the second set of normal axes (x′,y′).
3. The asymmetrical lens of claim 2 , wherein negative radius of curvature differs between the normal axes (x, y) of the first set.
4. The asymmetrical lens of claim 3 , wherein negative radius of curvature differs between the normal axes (x′, y′) of the second set.
5. The asymmetrical lens of claim 1 comprising a lens center thickness of 0.007<d 1 /L<0.2, where d 1 is center thickness of the asymmetric lens and L is total track length of the asymmetrical lens and a primary lens assembly of the image sensor module.
6. The asymmetrical lens of claim 1 , wherein the front surface of the asymmetrical lens comprises conic constants differing in normal orientations.
7. The asymmetrical lens of claim 6 , wherein the conic constants each have a value from −1 to 1.
8. The asymmetrical lens of claim 1 , wherein the back surface of the asymmetrical lens comprises conic constants differing in normal orientations.
9. The asymmetrical lens of claim 8 , wherein the conic constants each have a value from −1 to 1.
10. An asymmetrical lens of an image sensor module comprising:
an optical axis;
a front surface comprising a first set of normal axes (x, y) in a plane normal to the optical axis and a negative radius of curvature or positive radius of curvature along each of the normal axes (x, y); and
a back surface comprising a second set of normal axes (x′,y′) in the plane normal to the optical axis and a negative radius of curvature or positive radius of curvature along each of the normal axes (x′,y′),
wherein the asymmetrical lens has negative refractive power in both the x-axis and y-axis of the image plane of the asymmetrical lens, and
wherein negative refractive power range in both the x-axis and y-axis of the image plane are −300<fx/F<−8, −100<fy/F<−5, wherein fx and fy are the focal length of the asymmetric lens in the x-axis and y-axis of the image plane, respectively, and F is focal length of the primary lens assembly of the image sensor module.
11. The asymmetrical lens of claim 10 , wherein the primary lens assembly comprises two or more rotationally symmetric lenses.
12. The asymmetrical lens of claim 10 , wherein the front surface comprises negative radius of curvature along each of the first set of normal axes (x, y) and the back surfaces comprises negative radius of curvature along each of the second set of normal axes (x′,y′).
13. The asymmetrical lens of claim 12 , wherein negative radius of curvature differs between the normal axes (x, y) of the first set.
14. The asymmetrical lens of claim 13 , wherein negative radius of curvature differs between the normal axes (x′, y′) of the second set.
15. The asymmetrical lens of claim 10 comprising a lens center thickness of 0.007<d 1 /L<0.2, where d 1 is center thickness of the asymmetric lens and L is total track length of the asymmetrical lens and a primary lens assembly of the image sensor module.
16. The asymmetrical lens of claim 10 , wherein the front surface of the asymmetrical lens comprises conic constants differing in normal orientations.
17. The asymmetrical lens of claim 16 , wherein the conic constants each have a value from −1 to 1.
18. The asymmetrical lens of claim 10 , wherein the back surface of the asymmetrical lens comprises conic constants differing in normal orientations.
19. The asymmetrical lens of claim 18 , wherein the conic constants each have a value from −1 to 1.
20. An asymmetrical lens of an image sensor module comprising:
an optical axis;
a front surface comprising a first set of normal axes (x, y) in a plane normal to the optical axis and a negative radius of curvature or positive radius of curvature along each of the normal axes (x, y); and
a back surface comprising a second set of normal axes (x′,y′) in the plane normal to the optical axis and a negative radius of curvature or positive radius of curvature along each of the normal axes (x′,y′),
wherein the asymmetrical lens has positive refractive power in the x-axis and negative refractive power in the y-axis of the image plane of the asymmetrical lens,
wherein refractive power in the x-axis and the y-axis of the image plane differ,
wherein positive refractive power range in the x-axis of the image plane is 10<fx/F<5000 and negative refractive power range in the y-axis of the image plane is −100<fy/F<−5, where fx and fy are the focal length of the asymmetric lens in the x-axis and y-axis of the image plane, respectively, and F is the focal length of a primary lens assembly of the image sensor module.
21. The asymmetrical lens of claim 20 , wherein the front surface comprises negative radius of curvature along each of the first set of normal axes (x, y) and the back surfaces comprises negative radius of curvature along each of the second set of normal axes (x′,y′).
22. The asymmetrical lens of claim 21 , wherein negative radius of curvature differs between the normal axes (x, y) of the first set.
23. The asymmetrical lens of claim 22 , wherein negative radius of curvature differs between the normal axes (x′, y′) of the second set.
24. The asymmetrical lens of claim 20 comprising a lens center thickness of 0.007<d 1 /L<0.2, where d 1 is center thickness of the asymmetric lens and L is total track length of the asymmetrical lens and a primary lens assembly of the image sensor module.
25. The asymmetrical lens of claim 20 , wherein the front surface of the asymmetrical lens comprises conic constants differing in normal orientations.
26. The asymmetrical lens of claim 25 , wherein the conic constants each have a value from −1 to 1.
27. The asymmetrical lens of claim 20 , wherein the back surface of the asymmetrical lens comprises conic constants differing in normal orientations.
28. The asymmetrical lens of claim 27 , wherein the conic constants each have a value from −1 to 1.