Optical method and system for light field displays having light-steering layers and periodic optical layer

1. An apparatus for displaying an image by an optical system, comprising:

a light-emitting layer comprising an addressable array of light-emitting elements including a first light-emitting element;

a periodic optical layer overlaying the light-emitting layer, the periodic optical layer comprising at least a first periodic optical feature having a first optical power and a second periodic optical feature having a different optical power; and

a first controllable light-steering layer between the light-emitting layer and the periodic optical layer, wherein the first controllable light-steering layer is switchable between directing light from the first light-emitting element through the first periodic optical feature and directing light from the first light-emitting element through the second periodic optical feature, wherein the directed light through the first periodic optical feature and through the second periodic optical feature is focused on a position of a voxel of the displayed image.

2. The apparatus of claim 1 , wherein the first periodic optical feature and the second periodic optical feature are included in a first optical region, and wherein the periodic optical layer comprises a repeating pattern of optical regions arranged similarly to the first optical region.

3. The apparatus of claim 1 , further comprising a converging lens layer between the light-emitting layer and the periodic optical layer.

4. The apparatus of claim 3 , wherein the converging lens layer comprises a two-dimensional array of converging lenses, and wherein each converging lens is associated with at least one of the light-emitting elements in a projector cell.

5. The apparatus of claim 4 , wherein each projector cell includes a corresponding optical region of the periodic optical layer.

6. The apparatus of claim 4 , wherein different sections of the first controllable light-steering layer are associated with different projector cells and are separately controllable.

7. The apparatus of claim 1 , wherein the first periodic optical feature is operative to focus light from at least the first light-emitting element at a first distance from the periodic optical layer, and the second periodic optical feature is operative to focus light from at least the first light-emitting element at a second distance from the periodic optical layer, wherein the second distance is different from the first distance.

8. The apparatus of claim 1 , wherein the first controllable light-steering layer comprises at least one liquid crystal light-steering layer.

9. The apparatus of claim 1 , wherein the light-emitting layer further comprises a second light-emitting element;

wherein the periodic optical layer further comprises a third periodic optical feature having a first tilt direction and a fourth periodic optical feature having a second tilt direction different from the first tilt direction; and

wherein the first controllable light-steering layer is switchable between directing light from the second light-emitting element through the third periodic optical feature and directing light from the second light-emitting element through the fourth periodic optical feature.

10. The apparatus of claim 1 , further comprising a second controllable light-steering layer between the light-emitting layer and the periodic optical layer.

11. The apparatus of claim 10 , wherein the first controllable light-steering layer is configured to deflect light in a first plane, and the second controllable light-steering layer is configured to deflect light in a second plane substantially perpendicular to the first plane.

12. The apparatus of claim 10 , wherein the first controllable light-steering layer and the second controllable light-steering layer are each configured to deflect light in a first plane.

13. The apparatus of claim 1 , wherein at least one of the first periodic optical feature and the second periodic optical feature comprises a rough surface that scatters light.

14. A method for displaying an image by an optical system, comprising:

displaying an image comprising a plurality of voxels including a first voxel at a first voxel position by:

selectively emitting a first light by a first light-emitting element of a light-emitting layer, comprising a plurality of light-emitting elements;

operating a first section of a controllable light-steering layer to selectively direct light toward a first periodic optical feature of a periodic optical layer, comprising a plurality of periodic optical features, wherein the first periodic optical feature has a first optical power and focuses the first light onto the first voxel position;

selectively emitting a second light by a second light-emitting element of the light-emitting layer; and

operating at least a second section of the controllable light-steering layer to selectively direct the second light toward a second periodic optical feature of the periodic optical layer, wherein the second periodic optical feature has a different optical power and focuses the second light onto the first voxel position.

15. The method of claim 14 , further comprising, for at least a second voxel in the image having a second voxel position:

selectively emitting third light by at least a third light-emitting element of the light-emitting layer; and

operating at least a third section of the controllable light-steering layer to selectively direct light toward a third periodic optical feature of the periodic optical layer, wherein the third periodic optical feature focuses the third light onto the second voxel position.

16. The method of claim 15 , wherein the first voxel position has a first depth and the second voxel position has a second depth different from the first depth.

17. The method of claim 14 , wherein light emitted by one of the plurality of light-emitting elements is steered toward one of the plurality of periodic optical features based on depth information of the image.

18. The method of claim 14 , wherein at least one of the plurality of periodic optical features comprises a rough surface that scatters light.