An optical system includes a first optical system, a second optical system, and a third optical system. The first optical system divides an input beam into a first light and a second light. The second optical system includes a concave reflective surface which reflects the first light. The third optical system directs at least one of the first light reflected from the second optical system and the second light from the first optical system to an output optical path of the third optical system.

Disclosed are transparent energy relay waveguide systems for the superimposition of holographic opacity modulation states for holographic, light field, virtual, augmented and mixed reality applications. The light field system may comprise one or more energy waveguide relay systems with one or more energy modulation elements, each energy modulation element configured to modulate energy passing therethrough, whereby the energy passing therethrough may be directed according to 4D plenoptic functions or inverses thereof.

Disclosed are transparent energy relay waveguide systems for the superimposition of holographic opacity modulation states for holographic, light field, virtual, augmented and mixed reality applications. The light field system may comprise one or more energy waveguide relay systems with one or more energy modulation elements, each energy modulation element configured to modulate energy passing therethrough, whereby the energy passing therethrough may be directed according to 4D plenoptic functions or inverses thereof.

The present disclosure provides an optical system that includes a prism having an incident surface, an exit surface, and one or more reflecting surfaces. A first intermediate imaging position of a light flux in a first direction is located inside the prism. The first intermediate imaging position is different from a second intermediate imaging position of the light flux in a second direction orthogonal to the first direction.

Disclosed are systems and methods for manufacturing energy relays for energy directing systems and Transverse Anderson Localization. Systems and methods include providing first and second component engineered structures with first and second sets of engineered properties and forming a medium using the first component engineered structure and the second component engineered structure. The forming step includes randomizing a first engineered property in a first orientation of the medium resulting in a first variability of that engineered property in that plane, and the values of the second engineered property allowing for a variation of the first engineered property in a second orientation of the medium, where the variation of the first engineered property in the second orientation is less than the variation of the first engineered property in the first orientation.

Disclosed are high-density energy directing devices and systems thereof for two-dimensional, stereoscopic, light field and holographic head-mounted displays. In general, the head-mounted display system includes one or more energy devices and one or more energy relay elements, each energy relay element having a first surface and a second surface. The first surface is disposed in energy propagation paths of the one or more energy devices and the second surface of each of the one or more energy relay elements is arranged to form a singular seamless energy surface. A separation between edges of any two adjacent second surfaces is less than a minimum perceptible contour as defined by the visual acuity of a human eye having better than 20/40 vision at a distance from the singular seamless energy surface, the distance being greater than the lesser of: half of a height of the singular seamless energy surface, or half of a width of the singular seamless energy surface.

Disclosed are systems and methods for manufacturing energy relays for energy directing systems and Transverse Anderson Localization. Systems and methods include providing first and second component engineered structures with first and second sets of engineered properties and forming a medium using the first component engineered structure and the second component engineered structure. The forming step includes randomizing a first engineered property in a first orientation of the medium resulting in a first variability of that engineered property in that plane, and the values of the second engineered property allowing for a variation of the first engineered property in a second orientation of the medium, where the variation of the first engineered property in the second orientation is less than the variation of the first engineered property in the first orientation.

Disclosed embodiments include an energy directing device having one or more energy relay elements configured to direct energy from one or more energy locations through the device. In an embodiment, surfaces of the one or more energy relay elements may form a singular seamless energy surface where a separation between adjacent energy relay element surfaces is less than a minimum perceptible contour. In disclosed embodiments, energy is produced at energy locations having an active energy surface and a mechanical envelope. In an embodiment, the energy directing device is configured to relay energy from the energy locations through the singular seamless energy surface while minimizing separation between energy locations due to their mechanical envelope. In embodiments, the energy relay elements may comprise energy relays utilizing transverse Anderson localization phenomena.

Disclosed are relay elements exhibiting transverse localization. The relay elements may include a relay element body having one or more structures, where the structures can be coupled in series, in parallel and/or in stacked configurations. The structures may have multiple surfaces such that energy waves propagating therethrough the relay elements may experience spatial magnification or de-magnification.

Disclosed are systems and methods for manufacturing energy relays for energy directing systems and Transverse Anderson Localization. Systems and methods include providing first and second component engineered structures with first and second sets of engineered properties and forming a medium using the first component engineered structure and the second component engineered structure. The forming step includes randomizing a first engineered property in a first orientation of the medium resulting in a first variability of that engineered property in that plane, and the values of the second engineered property allowing for a variation of the first engineered property in a second orientation of the medium, where the variation of the first engineered property in the second orientation is less than the variation of the first engineered property in the first orientation.