Multi-twist retarders for broadband polarization transformation and related fabrication methods
An optical element includes at least two stacked birefringent layers having respective local optical axes that are rotated by respective twist angles over respective thicknesses of the at least two layers, and are aligned along respective interfaces between the at least two layers. The respective twist angles and/or the respective thicknesses are different. The at least two stacked birefringent layers may be liquid crystal polymer optical retarder layers. Related devices and fabrication methods are also discussed.
1. An optical element, comprising:
first and second stacked birefringent layers configured to alter a polarization of light passing therethrough, the first and second layers having respective phase retardation angles and respective local optical axes, wherein the respective local optical axes are rotated by respective twist angles over respective thicknesses of the first and second layers and are aligned along an interface between the first and second layers,
wherein the respective twist angles are in a range of zero degrees to the respective phase retardation angles of the first and second stacked birefringent layers, and wherein the respective twist angles and/or the respective thicknesses are different.
2. The optical element of claim 1 , wherein the respective local optical axes of the first and second stacked birefringent layers are aperiodic in a direction along the interface therebetween.
3. The optical element of claim 1 , wherein the first and second stacked birefringent layers comprise optical retarder layers that are respectively configured to alter the polarization without substantially altering a propagation direction of the light passing therethrough.
4. The optical element of claim 1 , wherein the respective local optical axes of the first and second stacked birefringent layers are substantially uniform in a direction of alignment along the interface therebetween.
5. The optical element of claim 4 , wherein the first and second stacked birefringent layers are stacked directly on one another and define a monolithic structure.
6. The optical element of claim 5 , further comprising:
an alignment surface having a substantially uniform alignment condition therein,
wherein one of the first and second stacked birefringent layers is directly on the alignment surface such that the respective local optical axes thereof are aligned according to the alignment condition.
7. The optical element of claim 5 , wherein the respective twist angles have a same twist sense.
8. The optical element of claim 5 , wherein the respective twist angles are substantially equal in magnitude and opposite in twist sense.
9. The optical element of claim 5 , wherein the respective twist angles are different, and wherein one of the twist angles is non-zero.
10. The optical element of claim 1 , wherein the respective local optical axes of the first and second stacked birefringent layers continuously vary in a direction along the interface therebetween.
11. The optical element of claim 1 , wherein the first and second stacked birefringent layers respectively include first and second adjacent regions, wherein the respective local optical axes of the first and second birefringent layers are substantially uniform in each of the first and second regions along the interface therebetween, and wherein the respective local optical axes in the first and second regions differ.
12. The optical element of claim 1 , wherein the first and second stacked birefringent layers comprise a first liquid crystal layer and a second liquid crystal layer stacked thereon, wherein respective molecular orientations of the first and second liquid crystal layers are aligned along the interface therebetween, and wherein at least one of the first and second liquid crystal layers is a chiral layer.
13. The optical element of claim 12 , wherein at least one of the first and second liquid crystal layers comprises a polymerized liquid crystal layer.
14. The optical element of claim 13 , wherein another of the first and second liquid crystal layers comprises a switchable liquid crystal layer.
15. The optical element of claim 13 , further comprising a third chiral liquid crystal layer stacked on the second liquid crystal layer.
16. The optical element of claim 1 , further comprising:
a linear polarizer,
wherein the first and second optical layers are stacked on the linear polarizer with an alignment layer or an adhesive layer therebetween.
17. The optical element of claim 1 , wherein the respective twist angles and/or thicknesses of the first and second optical layers are configured to provide halfwave retardation that is substantially achromatic over a broadband wavelength range of about 200 nm or more.
18. The optical element of claim 1 , wherein the respective twist angles and/or thicknesses of the first and second optical layers are configured to provide quarterwave retardation that is substantially achromatic over a broadband wavelength range of about 200 nm or more.
19. A method of fabricating an optical element, the method comprising:
providing a first birefringent layer; and
providing a second birefringent layer on the first birefringent layer, wherein the first and second birefringent layers are configured to alter a polarization of light passing therethrough,
wherein the first and second birefringent layers have respective phase retardation angles and respective local optical axes, wherein the respective local optical axes are rotated by respective twist angles over respective thicknesses thereof and are aligned along an interface therebetween, wherein the respective twist angles are in a range of zero degrees to the respective phase retardation angles of the first and second stacked birefringent layers, and wherein the respective twist angles and/or the respective thicknesses are different.
20. The method of claim 19 , wherein the respective local optical axes of the first and second birefringent layers are aperiodic in a direction along the interface therebetween.
21. The method of claim 19 , wherein the first and second birefringent layers comprise optical retarder layers that are respectively configured to alter the polarization without substantially altering a propagation direction of the light passing therethrough.
22. The method of claim 19 , wherein the respective local optical axes of the first and second birefringent layers are substantially uniform in a direction of alignment along the interface therebetween.
23. The method of claim 20 , wherein the first and second birefringent layers define a monolithic structure.
24. The method of claim 23 , wherein the first and second birefringent layers comprises liquid crystal layers, and wherein providing the second birefringent layer comprises:
forming the second birefringent layer directly on the first birefringent layer such that respective molecular orientations thereof are aligned according to respective molecular orientations of the first birefringent layer along the interface therebetween.
25. The method of claim 24 , further comprising the following prior to forming the second birefringent layer:
forming an alignment surface having an aperiodic alignment condition; and
forming the first birefringent layer directly on the alignment surface such that the respective molecular orientations thereof are aligned according to the alignment condition along an interface with the alignment surface.
26. The method of claim 24 , wherein at least one of the first and second birefringent layers comprises a chiral liquid crystal layer.
27. The method of claim 24 , wherein the first birefringent layer comprises a polymerizable liquid crystal layer, and further comprising:
photo-polymerizing the first birefringent layer on the alignment surface prior to forming the second birefringent layer thereon.
28. A method of fabricating an optical element, the method comprising:
providing a first birefringent layer;
forming a second birefringent layer directly on the first birefringent layer such that respective molecular orientations thereof are aligned according to respective molecular orientations of the first birefringent layer along an interface therebetween,
wherein the first and second birefringent layers comprise liquid crystal layers, are configured to alter a polarization of light passing therethrough, and define a monolithic structure,
wherein the first and second birefringent layers have respective local optical axes that are rotated by respective twist angles over respective thicknesses thereof, are aligned along the interface therebetween, and are aperiodic in a direction along the interface therebetween, wherein the respective twist angles and/or the respective thicknesses are different, and further comprising:
forming a third liquid crystal layer directly on the second birefringent layer such that respective molecular orientations thereof are aligned according to the respective molecular orientations of the second birefringent layer along an interface therebetween.
29. The method of claim 25 , wherein forming the alignment surface comprises:
forming the alignment surface to include a continuously varying alignment condition.
30. The method of claim 25 , wherein forming the alignment surface comprises:
forming the alignment surface to include substantially uniform alignment conditions in adjacent first and second regions thereof, wherein the substantially uniform alignment conditions in the first and second regions of the alignment surface differ.