Waveguide display with cross-polarized eye pupil expanders
Embodiments include an optical system that may be included in a waveguide display. An example apparatus includes an image generator configured to generate an image having an upper portion and a lower portion. A waveguide is provided with an in-coupler and an out-coupler, the in-coupler being arranged to couple the upper and lower portions of the image along an optical path to the out-coupler. Along the optical path, at least first and second polarization-selective diffraction gratings are configured to cooperatively direct the upper portion of the image toward the out-coupler. At least third and fourth polarization-selective diffraction gratings are configured to cooperatively direct the lower portion of the image toward the out-coupler.
1. An apparatus comprising:
an image generator configured to generate an image;
a waveguide having a first surface and a second surface opposite to the first surface, the waveguide having arranged on the first surface a single non-polarization-selective in-coupler, a first polarization-selective diffraction grating, a second polarization-selective diffraction grating, and a single non-polarization selective out-coupler, the waveguide having arranged on the second surface a third polarization-selective diffraction grating and a fourth polarization-selective diffraction grating;
the single non-polarization-selective in-coupler, the first polarization-selective diffraction grating, and the second polarization-selective diffraction grating operating as a first optical path for directing light from a first part of the image according to a first polarization state to a first area of the single non-polarization-selective out-coupler, and the single non-polarization-selective in-coupler, the third polarization-selective diffraction grating and the fourth polarization-selective diffraction grating operating as a second optical path for directing light from a second part of the image according to a second polarization state to a second area of the single non-polarization-selective out-coupler.
2. The apparatus of claim 1 , wherein:
the image generator is configured to generate an image having a left portion and a right portion, the left portion including an upper-left quadrant and a lower-left quadrant, the right portion including an upper-right quadrant and a lower-right quadrant;
wherein the single non-polarization-selective in-coupler is arranged to couple the left portion of the image along the first optical path and along the second optical path to the single non-polarization-selective out-coupler and to couple the right portion of the image along a third optical path and along a fourth optical path to the single non-polarization-selective out-coupler;
wherein the first and second polarization-selective diffraction gratings are configured to cooperatively direct the upper-left quadrant toward the single non-polarization-selective out-coupler, and the third and fourth polarization-selective diffraction gratings are configured to cooperatively direct the lower-left quadrant toward the single non-polarization-selective out-coupler;
the apparatus further comprising:
a fifth polarization-selective diffraction grating and a sixth polarization-selective diffraction grating along the third optical path, wherein the fifth and sixth polarization-selective diffraction gratings have a greater diffraction efficiency for light having the first polarization state than for light having the second polarization state, the fifth and sixth polarization-selective diffraction gratings being configured to cooperatively direct the upper-right quadrant toward the single non-polarization-selective out-coupler; and
a seventh polarization-selective diffraction grating and an eighth polarization-selective diffraction grating along the fourth optical path, wherein the seventh and eighth polarization-selective diffraction gratings have a greater diffraction efficiency for light having the second polarization state than for light having the first polarization state, the seventh and eighth polarization-selective diffraction gratings being configured to cooperatively direct the lower-right quadrant toward the single non-polarization-selective out-coupler.
3. The apparatus of claim 1 , wherein the first polarization state is one of p-polarization and s-polarization and the second polarization state is the other of p-polarization and s-polarization.
4. The apparatus of claim 1 , wherein the first and third diffraction gratings are arranged in at least partially overlapping positions on opposite surfaces of the waveguide.
5. The apparatus of claim 1 , wherein the second and fourth diffraction gratings are arranged in at least partially overlapping positions on opposite surfaces of the waveguide.
6. The apparatus of claim 1 , wherein the first and second diffraction gratings have a first grating period and the third and fourth diffraction gratings have a second grating period different from the first grating period.
7. The apparatus of claim 1 , wherein the image generator is operative to generate an image with unpolarized light.
8. A method comprising:
generating an image;
coupling the image into a waveguide using a single non-polarization-selective in-coupler of the waveguide;
directing a first portion of the image along a first optical path from the single non-polarization-selective in-coupler to a single non-polarization-selective out-coupler of the waveguide using at least a first and a second polarization-selective diffraction grating, wherein the first and second polarization-selective diffraction gratings have a greater diffraction efficiency for light having a first polarization state than for light having a second polarization state complementary to the first polarization state; and
directing a second portion of the image along the first optical path from the single non-polarization-selective in-coupler to the single non-polarization-selective out-coupler using at least a third and a fourth polarization-selective diffraction grating, wherein the third and fourth polarization-selective diffraction gratings have a greater diffraction efficiency for light having the second polarization state than for light having the first polarization state.
9. The method of claim 8 , wherein the first portion of the image is an upper portion of the image and the second portion of the image is a lower portion of the image.
10. The method of claim 8 , further comprising:
directing a third portion of the image along a third optical path from the single non-polarization-selective in-coupler to the single non-polarization-selective out-coupler using at least a fifth and a sixth polarization-selective diffraction grating, wherein the fifth and sixth polarization-selective diffraction gratings have a greater diffraction efficiency for light having the first polarization state than for light having the second polarization state; and
directing a fourth portion of the image along a fourth optical path from the single non-polarization-selective in-coupler to the single non-polarization-selective out-coupler of the waveguide using at least a seventh and an eighth polarization-selective diffraction grating, wherein the seventh and eighth polarization-selective diffraction gratings have a greater diffraction efficiency for light having the second polarization state than for light having the first polarization state.
11. The method of claim 8 , wherein the first polarization state is one of p-polarization and s-polarization and the second polarization state is the other of p-polarization and s-polarization.
12. The method of claim 8 , wherein the first and third polarization-selective diffraction gratings are arranged in at least partially overlapping positions on opposite surfaces of the waveguide.
13. The method of claim 8 , wherein the first and second polarization-selective diffraction gratings have a first grating period and the third and fourth polarization-selective diffraction gratings have a second grating period different from the first grating period.
14. The method of claim 8 , wherein the image is generated with unpolarized light.