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 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 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 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. The waveguides may include different structures configured for each or all sensory system or energy domain to direct energy through refraction, diffraction, reflection, or other approaches of affecting the propagation paths of energy.

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.

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 energy systems configured to direct energy according to a four-dimensional (4D) plenoptic function. In general, the energy systems include a plurality of energy devices, an energy relay system having one or more relay elements arranged to form a singular seamless energy surface, and an energy waveguide system such that energy can be relayed along energy propagation paths through the energy waveguide system to the singular seamless energy surface or from the singular seamless energy surface through the energy relay system to the plurality of energy devices.

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 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 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.