Cube polarizer with minimal optical path length difference
09726897 · 2017-08-08
Assignee
Inventors
- Austin Huang (Vancouver, WA, US)
- Dean Probst (West Jordan, UT, US)
- Bin Wang (Lindon, UT, US)
- Hua Li (Lindon, UT, US)
Cpc classification
G02B5/3058
PHYSICS
G02B27/149
PHYSICS
International classification
Abstract
The cube polarizer can have modified prism dimensions to satisfy the following equation:
where an optical path length is a distance of light travel through a material times an index of refraction of the material, OPL.sub.T is an optical path length of the transmitted beam, OPL.sub.R is an optical path length of the reflected beam, t is a thickness of the substrate between the first surface and the second surface of the substrate, and n.sub.p is an index of refraction of the first prism.
Claims
1. A cube polarizer comprising: a. a first prism including: i. two triangular faces linked by an inner face, an outer face, and an outer side; and ii. a junction of the inner face and the outer side defining a first edge; b. a second prism including two triangular faces linked by an inner face, an outer face, and an outer side; c. a wire grid polarizer including: i. a substrate having a first surface and an opposite second surface substantially parallel to the first surface; and ii. an array of parallel, elongated, separated wires disposed over the first surface of the substrate; d. the wire grid polarizer sandwiched between the first prism and the second prism such that: i. the second surface of the substrate is attached to and faces the inner face of the second prism; ii. the wires are attached to and face the inner face of the first prism; iii. the outer face of the first prism is opposite to the outer face of the second prism; and iv. the outer side of the first prism is opposite to the outer side of the second prism; e. a plane of the outer face of the second prism is substantially aligned with the first edge of the first prism such that a distance (d.sub.11) between the plane of the outer face of the second prism and the first edge of the first prism is less than 100 micrometers; f. a beam of light entering through the outer face of the first prism, is polarized at the wire grid polarizer, forming: i. a transmitted beam of light transmitting through the wire grid polarizer and exiting through the outer face of the second prism; and ii. a reflected beam of light reflecting off of the wire grid polarizer and exiting through the outer side of the first prism; and g. the cube polarizer satisfies the equation:
2. The cube polarizer of claim 1, wherein the distance (d.sub.11) between the plane of the outer face of the second prism and the first edge of the first prism is less than 10 micrometers.
3. The cube polarizer of claim 1, wherein the cube polarizer satisfies the equation:
4. The cube polarizer of claim 1, wherein: a. the first prism further comprises: i. a junction of the outer face of the first prism and the outer side of the first prism defines a second edge of the first prism; ii. a junction of the inner face of the first prism and the outer face of the first prism defines a third edge of the first prism; iii. a distance from the first edge of the first prism to the second edge of the first prism defines an outer side length (L.sub.OS1) of the first prism; and iv. a distance from the second edge of the first prism to the third edge of the first prism defines an outer face length (L.sub.OF1) of the first prism; b. the second prism further comprises: i. a junction of the inner face of the second prism and the outer side of the second prism defines a first edge of the second prism; ii. a junction of the outer face of the second prism and the outer side of the second prism defines a second edge of the second prism; iii. a junction of the inner face of the second prism and the outer face of the second prism defines a third edge of the second prism; iv. a distance from the first edge of the second prism to the second edge of the second prism defines an outer side length (L.sub.OS2) of the second prism; and v. a distance from the second edge of the second prism to the third edge of the second prism defines an outer face length (L.sub.OF2) of the second prism; c. the outer face length (L.sub.OF1) of the first prism is greater than the outer face length (L.sub.OF2) of the second prism, and the outer side length (L.sub.OS1) of the first prism is greater than the outer side length (L.sub.OS2) of the second prism; and d. a plane of the outer side of the second prism is substantially aligned with the third edge of the first prism such that a distance (d.sub.12) between the plane of the outer side of the second prism and the third edge of the first prism is less than 100 micrometers.
5. The cube polarizer of claim 4, wherein the distance (d.sub.12) between the plane of the outer side of the second prism and the third edge of the first prism is less than 10 micrometers.
6. The cube polarizer of claim 4, wherein a difference between the outer side length (L.sub.OS1) of the first prism and the outer side length (L.sub.OS2) of the second prism is greater than 500 micrometers.
7. The cube polarizer of claim 4, wherein a difference between the outer face length (L.sub.OF1) of the first prism and the outer face length (L.sub.OF2) of the second prism is greater than 500 micrometers.
8. The cube polarizer of claim 1, further comprising: a. a thin film of silicon dioxide filling gaps between the wires and extending above the wires for a thickness of between 40 and 120 nanometers; and b. a thin film of titanium dioxide disposed over the thin film of silicon dioxide, the thin film of titanium dioxide having a thickness of between 50 and 150 nanometers.
9. The cube polarizer of claim 1, wherein: a. the cube polarizer is designed to polarize light including a wavelength λ; b. the wires include a layer of metal and a layer of a material that is substantially absorptive of light having the wavelength λ; c. the cube polarizer is capable of polarizing an incoming beam of light having the wavelength λ into a first beam that is primarily reflected or absorbed by the wires and a second beam that is primarily transmitted through the wires; and d. at least 75% of the first beam is absorbed by the wires.
10. The cube polarizer of claim 1, further comprising a second substrate, and wherein: the array of parallel, elongated, separated wires are sandwiched between the first substrate and the second substrate; and a thickness of the first substrate and a thickness of the second substrate are both greater than 0.4 millimeters.
11. The cube polarizer of claim 10, further comprising: a. a thin film of silicon dioxide filling gaps between the wires and extending above the wires for a thickness of between 40 and 120 nanometers; and b. a thin film of titanium dioxide disposed over the thin film of silicon dioxide, the thin film of titanium dioxide having a thickness of between 50 and 150 nanometers.
12. The cube polarizer of claim 10, wherein: a. the cube polarizer is designed to polarize light including a wavelength λ; b. the wires include a layer of metal and a layer of a material that is substantially absorptive of light having the wavelength λ; c. the cube polarizer is capable of polarizing an incoming beam of light having the wavelength λ into a first beam that is primarily reflected or absorbed by the wires and a second beam that is primarily transmitted through the wires; and d. at least 75% of the first beam is absorbed by the wires.
13. A The cube polarizer of claim 1 further comprising a thin film disposed over the second surface of the substrate; and wherein: a. distance of light travel through a material times an index of refraction of the material defining an optical path length; b. light beams entering through the outer face of the first prism, reflecting off of portions of the wire grid polarizer within the cube polarizer then exiting through the outer side of the first prism include: i. a light beam having a shortest optical path length (OPL.sub.S); and ii. a light beam having a longest optical path length (OPL.sub.L); c. a difference between the longest optical path length (OPL.sub.L) and the shortest optical path length (OPL.sub.S) defines a peak to valley (PTV); and d. the thin film disposed over the second surface includes a material and a thickness to reduce a curvature of the wire grid polarizer such that the peak to valley (PTV) is less than half the wavelength λ.
14. The cube polarizer of claim 13, wherein the peak to valley PTV is less than a quarter of the wavelength λ.
15. The cube polarizer of claim 13, wherein the peak to valley PTV is less than 350 nanometers.
16. The cube polarizer of claim 13, wherein the thin film disposed over the second surface includes a same material as a material disposed over the first surface of the substrate of the wire grid polarizer.
17. The cube polarizer of claim 13, wherein the thin film disposed over the second surface includes silicon dioxide.
18. The cube polarizer of claim 13, further comprising: a. a material.sub.1 disposed over the first surface of the substrate of the wire grid polarizer including: i. a continuous thin film of silicon dioxide filling gaps between the wires and extending, above the wires for a thickness of between 40 and 120 nanometers; and ii. a thin film of titanium dioxide disposed over the thin film of silicon dioxide, the thin film of titanium dioxide having a thickness of between 50 and 150 nanometers; and b. the thin film disposed over the second surface including silicon dioxide having a thickness of between 80 and 300 nanometers.
19. The cube polarizer of claim 13, wherein: a. the cube polarizer is designed to polarize light including a wavelength λ; b. the wires include a layer of metal and a layer of a material that is substantially absorptive of light having the wavelength λ; c. the cube polarizer is capable of polarizing an incoming beam of light having the wavelength λ into a first beam that is primarily reflected or absorbed by the wires and a second beam that is primarily transmitted through the wires; and d. at least 75% of the first beam is absorbed by the wires.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
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DEFINITIONS
(11) As used herein, “cube” means a solid that is bounded by six faces. Each face need not be square, rectangle, or parallelogram. At least one of the faces can have a curved surface, such as a parabolic shape for example.
(12) As used herein, the term “light” can mean light or electromagnetic radiation in the x-ray, ultraviolet, visible, and/or infrared, or other regions of the electromagnetic spectrum.
(13) As used herein “thin film” means a substantially continuous or unbroken film of material having a thickness not larger than three times a maximum wavelength in the light spectrum of interest. “Substantially continuous” in this definition means that there may be some discontinuity, such as pinholes, but no major discontinuity, such as a division into a grid or separate wires.
DETAILED DESCRIPTION
(14) Various cube polarizer and wire grid polarizer designs will be described and shown in the figures. These cube polarizers and wire grid polarizers are not necessarily drawn to scale. Due to a relatively large size of prisms of the cubes, smaller size of wire grid polarizer substrates, and very small size of wires or thin films, it would be impractical to draw to scale. Some dimensions of these components are specified below and others are known in the art.
(15) As illustrated in
(16) The first prism 15 can include two triangular faces linked by an inner face (inner face.sub.1), an outer face (outer face.sub.1), and an outer side (outer side.sub.1). A junction of the inner face and the outer side.sub.1 defines a first edge (first edge.sub.1). A junction of the outer face.sub.1 and the outer side.sub.1 defines a second edge (second edge.sub.1). A junction of the inner face and the outer face defines a third edge (third edge.sub.1). A distance from the first edge.sub.1 to the second edge defines an outer side length (L.sub.OS1). A distance from the second edge.sub.1 to the third edge defines an outer face length.sub.1 (L.sub.OF1).
(17) The second prism 16 can include two triangular faces linked by an inner face (inner face.sub.2), an outer face (outer face.sub.2), and an outer side (outer side.sub.2). A junction of the inner face.sub.2 and the outer side.sub.2 defines a first edge (first edge.sub.2). A junction of the outer face.sub.2 and the outer side.sub.2 defines a second edge (second edge.sub.2). A junction of the inner face.sub.2 and the outer face.sub.2 defines a third edge (third edge.sub.2). A distance from the first edge.sub.2 to the second edge.sub.2 defines an outer side length.sub.2 (L.sub.OS2). A distance from the second edge.sub.2 to the third edge.sub.2 defines an outer face length.sub.2 (L.sub.OF2).
(18) The cube polarizer 10 can include a wire grid polarizer 11. The wire grid polarizer can be made according to one of the various embodiments of wire grid polarizers 90, 41, 110, and 120 shown in
(19) An unpolarized light beam U can enter through the outer face.sub.1. The unpolarized light beam U can be polarized at the wire grid polarizer 11, forming (1) a transmitted beam T of light transmitting through the wire grid polarizer 11 and exiting through the outer face.sub.2; and (2) a reflected beam R of light reflecting off of the wire grid polarizer 11 and exiting through the outer side.sub.1. The cube polarizer 10 can be designed for equal, or nearly equal, optical path lengths of the reflected beam R and the transmitted beam T. Optical path length is a distance of light travel through a material times an index of refraction of the material.
(20) One way of equalizing, or nearly equalizing, the optical path lengths of the reflected beam R and the transmitted beam T is to align a plane (face plane.sub.2) of the outer face.sub.2 with the first edge.sub.1. Exact alignment can be optimal, but considerable benefit can be gained by substantial alignment. Imperfections in manufacturing may make exact alignment too difficult. This alignment can be quantified by a distance d.sub.11 between the face plane.sub.2 and the first edge.sub.1. For exact alignment, d.sub.11=0. Substantial alignment can be d.sub.11<500 micrometers in one aspect, d.sub.11<100 micrometers in another aspect, or d.sub.11<10 micrometers in another aspect. Such alignment can equalize, or nearly equalize, optical path lengths of the reflected beam R and the transmitted beam T.
(21) This alignment can be done by shifting the second prism 16 down and to the left (based on view of
(22) In some designs, it can be desirable to have L.sub.OS1>L.sub.OS2 and L.sub.OF1>L.sub.OF2. Having L.sub.OS1>L.sub.OS2 and L.sub.OF1>L.sub.OF2 may be desirable to form a square end of the cube polarizer 10 where the triangular faces of the prisms 15 and 16 join, to allow the cube polarizer 10 to fit into a structure where the cube polarizer 10 will be used, or to avoid an edge of a prism sticking out beyond the rest of the cube where it could be damaged. Having L.sub.OS1>L.sub.OS2 and L.sub.OF1>L.sub.OF2 may be desirable if the cube polarizer 10 is designed to allow unpolarized light to enter through the outer side.sub.1 and it is important for reflected and transmitted beams from this light to also have equal, or nearly equal optical path lengths.
(23) Thus, in addition to aligning the face plane.sub.2 with the first edge.sub.1, a plane (side plane.sub.2) of the outer side.sub.2 can be substantially aligned with the third edge.sub.1, thus minimizing a distance d.sub.12 between the side plane.sub.2 and the third edge.sub.1. d.sub.12 can be less than 500 micrometers in one aspect, less than 100 micrometers in another aspect, or less than 10 micrometers in another aspect. L.sub.OF1 minus L.sub.OF2 can be between 500 micrometers and 1000 micrometers in one aspect. The actual desired difference between L.sub.OF1 and L.sub.OF2 can depend on a thickness t of the substrate 92.
(24) By minimizing the distances d.sub.11 and/or d.sub.12, optical path lengths of the reflected beam R and the transmitted beam T can be equal or substantially equal. Thus, the cube polarizer 10 can satisfy the equation
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in one aspect, can satisfy the equation
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in another aspect, can satisfy the equation
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another aspect, or can satisfy the equation
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in another aspect, wherein: OPL.sub.T is an optical path length of the transmitted beam T; OPL.sub.R is an optical path length of the reflected beam R; t is a thickness of the substrate 92 between the first surface 92.sub.f and the second surface 92.sub.s; and n.sub.p is an Index of refraction of the first prism 15.
|OPL.sub.T−OPL.sub.R| can be less than 500 micrometers in one aspect, less than 100 micrometers in another aspect, less than 10 micrometers in another aspect, or less than 1 micrometer in another aspect.
(29) Illustrated in
(30) Illustrated in
(31) The first prism 45 can Include two triangular faces linked by an inner face (inner faces), an outer face (outer faces), and an outer side (outer sides). A junction of the inner faces and the outer sides defines a first edge (first edges). A junction of the inner faces and the outer faces defines a third edge (third edges).
(32) The second prism 46 can include two triangular faces linked by an inner face (inner face.sub.2), an outer face (outer face.sub.2), and an outer side (outer side.sub.2). A junction of the inner face.sub.2 and the outer side.sub.2 defines a first edge (first edge.sub.2). A junction of the Inner face.sub.2 and the outer face.sub.2 defines a third edge (third edge.sub.2).
(33) The cube polarizer 40 can be designed for equal, or nearly equal, optical path lengths of a reflected beam R and a transmitted beam T. Such equality of optical path lengths can be achieved by wire grid polarizer symmetry and prism symmetry.
(34) For wire grid polarizer symmetry, the wire grid polarizer 41 can include an array of parallel, elongated, separated wires 91 (separated by gaps G) sandwiched between a first substrate 92 and a second substrate 104, as shown in
(35) The substrates 92 and 104 can be thick in an optical sense (e.g. not thin films) in order to provide structural support for the wire grid polarizer 41. A thickness th.sub.92 of the first substrate 92 and a thickness th.sub.104 of the second substrate 104 can both be greater than 0.4 millimeters in one aspect, greater than 0.5 millimeters in another aspect, or between 0.4 and 1.4 millimeters in another aspect. For wire grid polarizer symmetry, the thickness th.sub.92 of the first substrate 92 can equal or substantially equal the thickness th.sub.104 of the second substrate 104.
(36) A wire grid polarizer 110, as shown in
(37) For prism symmetry, a size of the two triangular faces of the first prism 45 can equal or substantially equal a size of the two triangular faces of the second prism 46. For equal or substantially equal optical path lengths, the first prism 45 can be made of substantially the same material as the second prism 46. Alternatively, there can be differences of materials and index of refraction between the prisms, and such differences can be compensated for by differences in size between the prisms, but such a design can be complex. Symmetry of both material and size can be a simple way to obtain equivalent optical path lengths.
(38) In addition to equal or similar prism 45 and 46 size and material, alignment of the prisms 45 and 46 can also be important for symmetry of the cube polarizer 40. The following description, and
(39) Cube symmetry, due to combined wire grid polarizer symmetry and prism symmetry, can allow equal, or substantially equal optical path lengths as described below and shown in
(40) Curvature of a wire grid polarizer in a cube can cause problems. The wire grid polarizer can curve due to stresses induced by the wires, or other thin films adjacent to the wires. This curvature can result in a reflected light beam from one region of the polarizer having a different optical path length than a reflected light beam from another region of the polarizer, thus causing wavefront distortion. There can be a similar problem with the transmitted beam.
(41) This curvature problem can be solved or improved as shown on cube polarizer 80 and wire grid polarizer 90 in
(42) The cube polarizer 80 can include a first prism 85 and a second prism 86. The first prism 85 can include two triangular faces linked by an inner face, an outer face (outer face.sub.1), and an outer side (outer side.sub.1). The second prism 86 can include two triangular faces linked by an inner face, an outer face (outer face.sub.2), and an outer side (outer side.sub.2).
(43) A wire grid polarizer 90 can be sandwiched between the inner faces of the prisms 85 and 86. The wire grid polarizer 90 can include a substrate 92 having a first surface 92.sub.f and an opposite second surface 92.sub.s substantially parallel to the first surface 92.sub.f. There can be a material (material.sub.1) 96 disposed over the first surface 92.sub.f of the substrate 92. The material.sub.1 96 can include an array of parallel, elongated, separated wires 91 (separated by gaps G). Material.sub.1 96 can also include other thin films 93 and/or 94 as will be described below. There can be a thin film (thin film.sub.2) 95 disposed over the second surface 92.sub.s. The thin film.sub.2 95 can balance stresses caused by material.sub.1 96, thus reducing curvature of the wire grid polarizer 90 and reducing wavefront distortion.
(44) This reduced wavefront distortion can be demonstrated by minimal variation of optical path lengths of light beams, such as for example light beams 82-84. Light beams, including light beams 82-84, can enter through the outer face.sub.1, can reflect off of portions of the wire grid polarizer 90 within the cube polarizer 80, then can exit through the outer side.sub.1. Light beams can reflect off of all portions of the wires 91 of the wire grid polarizer 90 within the cube polarizer 80. These light beams can include (1) a light beam having a shortest optical path length (OPL.sub.S) and (2) a light beam having a longest optical path length (OPL.sub.L). Optical path length is a distance of light travel through a material times an index of refraction of the material. A difference between the OPL.sub.L and the OPL.sub.S defines a peak to valley (PTV). In other words, |OPL.sub.L−OPL.sub.S|=PTV. The thin film.sub.2 95 can include a material and a thickness to reduce a curvature of the wire grid polarizer 90 such that the PTV is less than λ/2 in one aspect, less than λ/4 in another aspect, less than λ/8 in another aspect, less than 500 nanometers in another aspect, less than 350 nanometers in another aspect, or less than 100 nanometers in another aspect.
(45) One way for the thin film.sub.2 95 to balance stresses caused by the material.sub.1 96 is for the thin film.sub.2 to include a same material as in the material.sub.1 96. For example, if the material.sub.1 includes silicon dioxide, then the thin film.sub.2 can also include silicon dioxide; or if the material includes titanium dioxide, then the thin flim.sub.2 can also include titanium dioxide. Another way for the thin film.sub.2 95 to balance stresses caused by the material.sub.1 96 is to have similar thicknesses between the thin film.sub.2 95 and the material.sub.1 96.
(46) Use of the thin film.sub.2 95 for reduction of wavefront distortion can also be used in cube polarizers 10 and 40. Thus, the benefits of reduced wavefront distortion can be combined with the benefits of equalizing optical path lengths of reflected and transmitted beams.
(47) Shown in
(48) In some applications of cube polarizers, both the reflected beam R and the transmitted beam T are used and it may be desirable to reflect one polarization as much as possible. In other applications, it can be beneficial to suppress or absorb the reflected beam R. For example, the reflected beam R may interfere with other devices in the system where the cube polarizer is used. Shown in
(49) The prisms in the cube polarizers 10, 40, and 80 described herein can be triangular prisms. The inner faces, outer sides, and outer faces of the prisms can have a parallelogram shape, can be rectangular, can be square, but need not be such shapes. The two triangular faces of each prism can be parallel or substantially parallel to each other, but such relationship is not required. The prisms and the wire grid polarizer substrates can be made of a material that is substantially transparent of the desired light wavelength band (e.g. glass for visible light). In one embodiment, the wires 91 can extend longitudinally in the direction of one triangular face to the other triangular face of each prism (into the page in the figures).