Birefringent spectral filter
A birefringent spectral filter comprises a first birefringent stage and a polarizing beam splitter optically coupled to the first birefringent stage. The first birefringent stage is adapted to generate an optical path difference between light propagating along each of two orthogonal axes. This configuration is most advantageous when light incident on the first birefringent stage is polarized at 45° relative to the extraordinary axis of the birefringent material. The first birefringent stage may advantageously include a first and second layers of birefringent material and a half-wave plate disposed therebetween. Preferably, the first and second layers of birefringent material have orthogonally aligned extraordinary axes.
1. A birefringent spectral filter comprising:
a first birefringent stage adapted to generate an optical path difference (OPD) between two polarizations of incident light propagating along each of two orthogonal axes, respectively, the first birefringent stage comprising:
a first layer of a first birefringent material having a first depth and a first extraordinary axis aligned with a first of the two orthogonal axes;
a second layer of the first birefringent material having the first depth and a second extraordinary axis, the second extraordinary axis being orthogonal to the first extraordinary axis; and
a first half-wave plate disposed between the first and second layers of birefringent material;
a third layer of a second birefringent material optically coupled to the first birefringent stage, the third layer having a second depth and a third extraordinary axis aligned with one of the two orthogonal axes; and
a fourth layer of the second birefringent material optically coupled to the third layer of birefringent material, the fourth layer having the second depth and a fourth extraordinary axis, the fourth extraordinary axis being orthogonal to the third extraordinary axis, wherein
the second birefringent material is different from the first birefringent material,
the third and fourth layers are adapted to generate a further OPD between the two polarizations of incident light, and
the second depth is different from the first depth and is adapted to enlarge a field of view by controlling an amount of contribution to the total OPD from second and higher orders of the sine of a cone angle, θ, of light incident upon the filter; and
a polarizing beam splitter optically coupled to the first birefringent stage.
2. The filter of claim 1 , wherein each of the first and second layers comprises a pair of wedge-shaped layers.
3. The filter of claim 2 , wherein each layer within each pair of wedge-shaped layers is movable in a direction which is perpendicular to an optical axis of the first birefringent stage.
4. The filter of claim 1 , wherein the first half-wave plate comprises a pair of wedge-shaped layers.
5. The filter of claim 4 , wherein each layer within the pair of wedge-shaped layers is movable in a direction which is perpendicular to an optical axis of the first birefringent stage.
6. The filter of claim 1 , wherein the third and fourth layers are optically coupled between the first birefringent stage and the polarizing beam splitter.
7. The filter of claim 6 , further comprising:
a second half-wave plate disposed between the third and fourth layers.
8. The filter of claim 7 , wherein the second half-wave plate comprises a pair of wedge-shaped layers.
9. The filter of claim 8 , wherein each layer within the pair of wedge-shaped layers is movable in a direction which is perpendicular to an optical axis of the first birefringent stage.
10. The filter of claim 1 , wherein each of the third and fourth layers comprises a pair of wedge-shaped layers.
11. The filter of claim 10 , wherein each layer within each pair of wedge-shaped layers is movable in a direction which is perpendicular to an optical axis of the first birefringent stage.
12. The filter of claim 1 , wherein the third and fourth layers are optically coupled on opposite sides of the first half wave plate.
13. A birefringent spectral filter comprising:
a first multi-layer birefringent stage including two first stage layers of a first birefringent material, the two first stage layers having first orthogonal extraordinary axes and each having a first depth, the first birefringent stage being adapted to generate an optical path difference (OPD) between two polarizations of incident light propagating along each of two orthogonal axes, respectively;
a second multi-layer birefringent stage optically coupled to the first birefringent stage, the second birefringent stage including two second stage layers of a second birefringent material, different from the first birefringent material, the two second stage layers having second orthogonal extraordinary axes, each of the second pair of extraordinary axes being parallel to one of the first pair of extraordinary axes, and each second stage layer having a second depth, the second birefringent stage being adapted to generate a further OPD between the two polarizations of incident light, wherein the second depth is different from the first depth and the further OPD is nearly independent is adapted to enlarge a field of view by controlling an amount of contribution to the total OPD from second and higher orders of the sine of a cone angle, θ, of light incident upon the filter; and
a polarizing beam splitter optically coupled to the second birefringent stage.
14. The filter of claim 13 wherein the first birefringent stage further includes
a half-wave plate disposed between the two first stage layers of the first birefringent material.
15. The filter of claim 13 , wherein each of the two first stage layers comprises a pair of wedge-shaped layers.
16. The filter of claim 15 , wherein each layer within each pair of wedge-shaped layers is movable in a direction which is perpendicular to an optical axis of the second birefringent stage.
17. The filter of claim 14 , wherein the half-wave plate comprises a pair of wedge-shaped layers.
18. The filter of claim 17 , wherein each layer within the pair of wedge-shaped layers is movable in a direction which is perpendicular to an optical axis of the second birefringent stage.
19. The filter of claim 13 , wherein the second birefringent stage further includes
a half-wave plate disposed between the two second stage layers of the second birefringent material.
20. The filter of claim 19 , wherein the half-wave plate comprises a pair of wedge-shaped layers.
21. The filter of claim 20 , wherein each layer within the pair of wedge-shaped layers is movable in a direction which is perpendicular to an optical axis of the second birefringent stage.
22. The filter of claim 13 , wherein each of the two second stage layers comprises a pair of wedge-shaped layers.
23. The filter of claim 22 , wherein each layer within each pair of wedge-shaped layers is movable in a direction which is perpendicular to an optical axis of the second birefringent stage.
24. A birefringent spectral filter comprising:
a first birefringent stage adapted to generate an optical path difference (OPD) between two polarizations of incident light propagating along each of two orthogonal axes, respectively, the first birefringent stage comprising:
a first layer of a first birefringent material having a first depth;
a second layer of the first birefringent material having the first depth, wherein the first and second layers of the first birefringent material have orthogonally aligned extraordinary axes; and
a first half-wave plate disposed between the first and second layers of the first birefringent material;
a second birefringent stage optically coupled to the first birefringent stage and adapted to generate a further OPD between the two polarizations of incident light the second birefringent stage comprising:
a first layer of a second birefringent material having a second depth;
a second layer of the second birefringent material having the second depth, wherein the first and second layers of the second birefringent material have orthogonally aligned extraordinary axes, each of which is parallel to one of the extraordinary axes in the first birefringent stage, and the second birefringent material is different from the first birefringent material; and
a second half-wave plate disposed between the first and second layers of the second birefringent material, wherein the second depth is different from the first depth and is adapted to enlarge a field of view by controlling an amount of contribution to the total OPD from second and higher orders of the sine of a cone, θ, of light incident upon the filter; and
a polarizing beam splitter optically coupled to the second birefringent stage.
25. The filter of claim 24 , wherein each of the first and second layers of the first birefringent material comprises a pair of wedge-shaped layers of the first birefringent material.
26. The filter of claim 25 , wherein each layer within each pair of wedge-shaped layers is movable in a direction which is perpendicular to an optical axis of the first birefringent stage.
27. The filter of claim 24 , wherein the first half-wave plate comprises a pair of wedge-shaped layers.
28. The filter of claim 27 , wherein each layer within the pair of wedge-shaped layers is movable in a direction which is perpendicular to an optical axis of the first birefringent stage.
29. The filter of claim 24 , wherein each of the first and second layers of the second birefringent material comprises a pair of wedge-shaped layers of the second birefringent material.
30. The filter of claim 29 , wherein each layer within each pair of wedge-shaped layers is movable in a direction which is perpendicular to an optical axis of the second birefringent stage.
31. The filter of claim 24 , wherein the second half-wave plate comprises a pair of wedge-shaped layers.
32. The filter of claim 31 , wherein each layer within the pair of wedge-shaped layers is movable in a direction which is perpendicular to an optical axis of the second birefringent stage.
33. A wide field of view birefringent phase retarder comprising:
a first birefringent stage adapted to generate an optical path difference (OPD) between two polarizations of incident light propagating along each of two orthogonal axes, respectively, the first birefringent stage comprising:
a first layer of a first birefringent material having a first depth and a first extraordinary axis aligned with a first of the two orthogonal axes;
a second layer of the first birefringent material having the first depth and a second extraordinary axis, the second extraordinary axis being orthogonal to the first extraordinary axis; and
a first half-wave plate disposed between the first and second layers of birefringent material;
a third layer of a second birefringent material optically coupled to the first birefringent stage, the third layer having a second depth and a third extraordinary axis aligned with one of the two orthogonal axes; and
a fourth layer of the second birefringent material optically coupled to the third layer of birefringent material, the fourth layer having the second depth and a fourth extraordinary axis, the fourth extraordinary axis being orthogonal to the third extraordinary axis, wherein
the second birefringent material is different from the first birefringent material,
the third and fourth layers are adapted generate a further OPD between the two polarizations of incident light, and
the second depth is different from the first depth and is adapted to enlarge a field of view by controlling an amount of contribution to the total OPD from second and higher orders of the sine of a cone angle, θ, of incident light of light.
34. A wide field of view birefringent phase retarder comprising:
a first birefringent stage adapted to generate an optical path difference (OPD) between two polarizations of incident light propagating along each of two orthogonal axes, respectively, the first birefringent stage comprising:
a first layer of a first birefringent material having a first depth;
a second layer of the first birefringent material having the first depth, wherein the first and second layers of the first birefringent material have orthogonally aligned extraordinary axes; and
a first half-wave plate disposed between the first and second layers of the first birefringent material;
a second birefringent stage optically coupled to the first birefringent stage and adapted to generate a further OPD between the two polarizations of incident light, the second birefringent stage comprising:
a first layer of a second birefringent material having a second depth;
a second layer of the second birefringent material having the second depth, wherein the first and second layers of the second birefringent material have orthogonally aligned extraordinary axes, each of which is parallel to one of the extraordinary axes in the first birefringent stage, and the second birefringent material is different from the first birefringent material; and
a second half-wave plate disposed between the first and second layers of the second birefringent material, wherein the second depth is different from the first depth and is adapted to enlarge a field of view by controlling an amount of contribution to the total OPD from second and higher orders of the sine of a cone angle, θ, of the incident light.