There are provided volume holograms and combinations of lenticular lenses and holograms in particular for security applications. In embodiments, a volume hologram comprises a holographic medium (102) including a first optical interference structure which, upon illumination, replays a first image (110); wherein the first image includes a lenticular lens layer (111) including an array of lenticules and a lenticular image layer (113) including first (114) and second (115) interlaced images corresponding with the array of lenticules.

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 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.

A totagram is produced by an iterative spectral phase recovery process resulting in complete information recovery using special masks and using a reference beam. Using these special masking systems reduce computation time, number of masks, and number of iterations. Adding a reference wave to the iterative process provides better phase recovery systems and aid in the preventing of phase wrapping. The reference wave is added on-axis to provide a well-controlled amplitude. The reference wave is added after the physical or digital transformation system and subtracted before recording the initial amplitude. An additional camera at the input plane records the amplitudes of the original input wave which are used during the iterative process.

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 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.

Energy systems are 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.

Provided is a holographic display apparatus capable of providing an expanded viewing window when reproducing a holographic image via an off-axis technique. The holographic display apparatus includes a spatial light modulator comprising a plurality of pixels arranged two-dimensionally; and an aperture enlargement film configured to enlarge a beam diameter of a light beam coming from each of the plurality of pixels of the spatial light modulator. The beam diameter of each light beam enlarged by the aperture enlargement film may be greater than the width of an aperture of each pixel of the spatial light modulator.

A method for optimally producing a holographic image using a Holographic Optical Element (HOE) and the HOE meant for controlling directions and divergences of light beams to impart system compactness. The system uses concave and convex lenses and other beam expanding, splitting, modulating and combining optics for realization of compactness and high throughput. The thin laser beam is split using a holographic optical element and a conventional beam splitter. A neutral density filter adjusts the intensity of a reference beam to match the intensity of an object beam so that high quality digital holograms can be recorded. Effects of vibrations are minimized by the compact optical design, by anti-vibration mounts, by mounting all the opto-mechanical components on a single rigid platform and by enclosing the system. An electro-optical sensor array records holograms digitally and an algorithm numerically reconstructs and further quantifies the results using a personal computer/laptop/tablet etc.

An optical image generation system including: a spatial light modulator (SLM) configured to receive an input collimated laser beam and modulate the wavefront of the laser beam; one or more optical elements configured to project the modulated laser beam onto a focal plane; a first mirror and a second mirror situated at the focal plane, an edge of the first mirror being adjacent to an edge of the second mirror, the first mirror reflects a first portion of the modulated laser beam in a first direction, the second mirror reflects a second portion of the modulated laser beam in a second direction; and an objective lens projects the first and second portions into a combined image; wherein the zeroth order diffraction is block or suppressed at the center of the focal plane.