Disclosed are a lens for a light-emitting device usable in a display apparatus or a lighting apparatus, and a method of manufacturing a light-emitting device package. The lens may include a lens body including a light-receiving portion provided in a lower surface of the lens body, a light-emitting portion provided on an upper surface of the lens body, and a recess provided at a center of the upper surface of the lens body, and a flat portion provided in a horizontal shape on a bottom surface of the recess perpendicularly to a main emission line of light emitted from a light-emitting device to emit at least a part of light received through the light-receiving portion, upward. A diameter of the flat portion may be 1/100 to 1/10 of an inlet diameter of the light-receiving portion.

Disclosed are image relay elements exhibiting transverse Anderson localization for light field and holographic energy sources. 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.

A method determines four dimensional (4D) plenoptic coordinates for content data by receiving content data; determining locations of data points with respect to a first surface to creating a digital volumetric representation of the content data, the first surface being a reference surface; determining 4D plenoptic coordinates of the data points at a second surface by tracing the locations the data points in the volumetric representation to the second surface where a 4D function is applied; and determining energy source location values for 4D plenoptic coordinates that have a first point of convergence.

Disclosed are a lens for a light-emitting device usable in a display apparatus or a lighting apparatus, and a method of manufacturing a light-emitting device package. The lens may include a lens body including a light-receiving portion provided in a lower surface of the lens body, a light-emitting portion provided on an upper surface of the lens body, and a recess provided at a center of the upper surface of the lens body, and a flat portion provided in a horizontal shape on a bottom surface of the recess perpendicularly to a main emission line of light emitted from a light-emitting device to emit at least a part of light received through the light-receiving portion, upward. A diameter of the flat portion may be 1/100 to 1/10 of an inlet diameter of the light-receiving portion.

Holographic energy directing systems may include a waveguide array and a relay element. Disclosed calibration approaches allows for mapping of energy locations and mapping of energy locations to angular direction of energy as defined in a four-dimensional plenopic system. Distortions due to the waveguide array and relay element may also be compensated.

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 embodiments include an energy device having an array of waveguide elements configured to direct energy along a plurality of energy propagation paths through the device, and an energy encoding element operable to limit propagation of energy along the plurality of paths. Energy uninhibited propagation paths may extend through first and second regions of energy locations, the first and seconds regions being overlapping and offsetting, and the energy encoding element may limit propagation of energy through each energy location in the first and second regions to one uninhibited energy propagation path. In an embodiment, the energy encoding element may limit propagation along uninhibited propagation paths through the first region at a first moment in time, and through the second region at a second moment in time. An energy system comprising an energy device subsystem and an energy combiner may be configured to superimpose energy from the energy locations.

Disclosed embodiments include an energy waveguide system having an array of waveguides and an energy inhibiting element configured to substantially fill a waveguide element aperture and selectively propagate energy along some energy propagation paths through the array of waveguides. In an embodiment, such an energy waveguide system may define energy propagation paths through the array of waveguides in accordance to a 4D plenoptic system. In an embodiment, energy propagating through the energy waveguide system may comprise energy propagation for stimulation of any sensory receptor response including visual, auditory, somatosensory systems, and the waveguides may be incorporated into a holographic display or an aggregated bidirectional seamless energy surface capable of both receiving and emitting two dimensional, light field or holographic energy through waveguiding or other 4D plenoptic functions prescribing energy convergence within a viewing volume.

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.