Disclosed herein are methods, apparatus, and systems for providing an optical beam delivery system, comprising an optical fiber including a first length of fiber comprising a first RIP formed to enable, at least in part, modification of one or more beam characteristics of an optical beam by a perturbation assembly arranged to modify the one or more beam characteristics, the perturbation assembly coupled to the first length of fiber or integral with the first length of fiber, or a combination thereof and a second length of fiber coupled to the first length of fiber and having a second RIP formed to preserve at least a portion of the one or more beam characteristics of the optical beam modified by the perturbation assembly within one or more first confinement regions. The optical beam delivery system may include an optical system coupled to the second length of fiber including one or more free-space optics configured to receive and transmit an optical beam comprising the modified one or more beam characteristics.

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 photonic displacement sensor comprises a photonic fiber including a) a core section having a first band gap aligned along an extended longitudinal axis, and b) a cladding section surrounding the core section having a second band gap. The first band gap is adapted to block a spectral band of radiation centered on a first wavelength that is directed along the longitudinal axis, and the second band gap is adapted to block a spectral band of radiation centered on a second wavelength that is directed transversely to the longitudinal axis, and wherein displacement is detected based on a shift in at least one of the first and second band gap of the photonic fiber, enabling an intensity of radiation to be detected that is in proportion to the displacement in the photonic fiber.

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.

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.

The disclosed embodiments generally relate to extruding multiple layers of micro- to nano-polymer layers in a tubular shape. In particular, the aspects of the disclosed embodiments are directed to a method for producing a Bragg reflector comprising co-extrusion of micro- to nano-polymer layers in a tubular shape.

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.