Foreword. Series Editor's Foreword. Preface. 1. Liquid crystal physics.* Introduction.* Thermodynamics and statistic physics.* Orientational order.* Elastic properties of liquid crystals.* Response of liquid crystals to electro-magnetic fields.* Anchoring effects of nematic liquid crystal at surfaces. 2. Propagation of light in anisotropic optical medium.* Electromagnetic wave.* Polarization.* Propagation of light in uniform anisotropic optical media.* Propagation of light in cholesteric liquid crystals. 3. Optical modeling methods.* Jones matrix method.* Mueller matrix method.* Berreman 4x4 method. 4. Effects of Electric field on Liquid Crystals.* Dielectric interaction.* Flexoelectric Effect.* Ferroelectricity in liquid crystals. 5. Freedericksz transition.* Calculus of variation.* The Fredeericksz transition: statics.* The Freedericksz transition: dynamics. 6. Liquid Crystal Materials.* Introduction.* Refractive indices.* Dielectric constants.* Rotational Viscosity.* Elastic constant.* Figure-of-merits.* Refractive index matching between liquid crystals and polymers. 7. Modeling of liquid crystal director configuration.* Electric energy of liquid crystals.* Modeling electric field.* Simulation of liquid crystal director configuration. 8. Transmissive liquid crystal display.* Introduction.* Twisted nematic cells.* In plane switching (IPS) mode.* Vertical alignment (VA) mode.* Multi-domain Vertical Alignment (MVA) Cells.* Optically compensated bend (OCB) cell. 9. Reflective and Trasreflective display.* Introduction.* Reflective liquid crystal displays.* Transflector.* Classification of Transflective LCDs.* Dual-cell-gap Transflective LCDs.* Single-cell-gap Transflective LCDs.* Performance of transflective LCDs. 10. Liquid crystal display matrices, drive schemes and bistable displays.* Segmented displays.* Passive matrix displays and drive scheme.* Active Matrix Displays.* Bistable ferroelectric liquid crystal displays and drive scheme.* Bistable nematic displays.* Bistable cholesteric reflective display. 11. Liquid crystal/polymer composites. * Introduction.* Phase separation.* Scattering properties of liquid crystal/polymer composites.* Polymer dispersed liquid crystals.* Polymer stabilization liquid crystals.* Displays from liquid crystal/polymer composites. 12. Tunable liquid crystal photonic devices. * Introduction.* Laser beam steering.* Variable Optical Attenuators.* Tunable-Focus Lens.* Polarization-Independent LC Devices. Index.

Fundamentals of Liquid Crystal Devices

Since the popularisation of the Internet in the 1990s, the cyberspace has kept evolving. We have created various computer-mediated virtual environments including social networks, video conferencing, virtual 3D worlds (e.g., VR Chat), augmented reality applications (e.g., Pokemon Go), and Non-Fungible Token Games (e.g., Upland). Such virtual environments, albeit non-perpetual and unconnected, have bought us various degrees of digital transformation. The term `metaverse' has been coined to further facilitate the digital transformation in every aspect of our physical lives. At the core of the metaverse stands the vision of an immersive Internet as a gigantic, unified, persistent, and shared realm. While the metaverse may seem futuristic, catalysed by emerging technologies such as Extended Reality, 5G, and Artificial Intelligence, the digital `big bang' of our cyberspace is not far away. This survey paper presents the first effort to offer a comprehensive framework that examines the latest metaverse development under the dimensions of state-of-the-art technologies and metaverse ecosystems, and illustrates the possibility of the digital `big bang'. First, technologies are the enablers that drive the transition from the current Internet to the metaverse. We thus examine eight enabling technologies rigorously - Extended Reality, User Interactivity (Human-Computer Interaction), Artificial Intelligence, Blockchain, Computer Vision, IoT and Robotics, Edge and Cloud computing, and Future Mobile Networks. In terms of applications, the metaverse ecosystem allows human users to live and play within a self-sustaining, persistent, and shared realm. Therefore, we discuss six user-centric factors -- Avatar, Content Creation, Virtual Economy, Social Acceptability, Security and Privacy, and Trust and Accountability. Finally, we propose a concrete research agenda for the development of the metaverse.

All One Needs to Know about Metaverse: A Complete Survey on Technological Singularity, Virtual Ecosystem, and Research Agenda

The physical world around us is three-dimensional (3D), yet traditional display devices can show only two-dimensional (2D) flat images that lack depth (i.e., the third dimension) information. This fundamental restriction greatly limits our ability to perceive and to understand the complexity of real-world objects. Nearly 50% of the capability of the human brain is devoted to processing visual information [Human Anatomy & Physiology (Pearson, 2012)]. Flat images and 2D displays do not harness the brain's power effectively. With rapid advances in the electronics, optics, laser, and photonics fields, true 3D display technologies are making their way into the marketplace. 3D movies, 3D TV, 3D mobile devices, and 3D games have increasingly demanded true 3D display with no eyeglasses (autostereoscopic). Therefore, it would be very beneficial to readers of this journal to have a systematic review of state-of-the-art 3D display technologies.

/pdf/three-dimensional-display-technologies-3ed8rfdvht.pdf

Three-dimensional display technologies

Holography has been identified as a vital platform for three-dimensional displays, optical encryption, microscopy and artificial intelligence through different physical dimensions. However, unlike the wavelength and polarization divisions, orbital angular momentum (OAM) of light, despite its helical wavefront being an independent physical dimension, has not been implemented as an information carrier for holography due to the lack of helical mode index selectivity in the Bragg diffraction formula. Here, we demonstrate OAM holography by discovering strong OAM selectivity in the spatial-frequency domain without a theoretical helical mode index limit. As such, OAM holography allows the multiplexing of a wide range of OAM-dependent holographic images with a helical mode index spanning from −50 to 50, leading to a 10 bit OAM-encoded hologram for high-security optical encryption. Our results showing up to 210 OAM-dependent distinctive holographic images mark a new path to achieving ultrahigh-capacity holographic information systems harnessing the previously inaccessible OAM division. The orbital angular momentum degree of freedom is used to demonstrate 10 bit holographic images with a helical mode index spanning from −50 to 50.

Orbital angular momentum holography for high-security encryption

Surface-Wave Devices for Signal Processing

Photophoretic optical trapping of cellulose particles and persistence of vision are used to produce real-space volumetric images that can be viewed from all angles, in geometries unachievable by holograms and light-field technologies. Three-dimensional moving images have long been the stuff of science fiction. In reality, the appearance of three dimensions is usually approximated by manipulating light, but such approaches have limitations such as narrow viewing angles and the need for special viewing headwear. Daniel Smalley and colleagues offer a solution in which a three-dimensional object can be represented in real space, viewed from any angle, and even coexist with—and wrap around—solid objects that occupy the same physical volume. A near-invisible light field traps and moves a small particle through a volume of space. As the particle moves, it is illuminated using red, green and blue laser light, producing an arbitrarily coloured point-source that maps out the surface of the object to be imaged. If the particle scanning is fast enough, persistence of vision, which results from the slower 'refresh rate' of the human eye, gives the appearance of a solid three-dimensional surface. At even faster scanning rates, the imaged object can appear to move. Free-space volumetric displays, or displays that create luminous image points in space, are the technology that most closely resembles the three-dimensional displays of popular fiction1. Such displays are capable of producing images in ‘thin air’ that are visible from almost any direction and are not subject to clipping. Clipping restricts the utility of all three-dimensional displays that modulate light at a two-dimensional surface with an edge boundary; these include holographic displays, nanophotonic arrays, plasmonic displays, lenticular or lenslet displays and all technologies in which the light scattering surface and the image point are physically separate. Here we present a free-space volumetric display based on photophoretic optical trapping2 that produces full-colour graphics in free space with ten-micrometre image points using persistence of vision. This display works by first isolating a cellulose particle in a photophoretic trap created by spherical and astigmatic aberrations. The trap and particle are then scanned through a display volume while being illuminated with red, green and blue light. The result is a three-dimensional image in free space with a large colour gamut, fine detail and low apparent speckle. This platform, named the Optical Trap Display, is capable of producing image geometries that are currently unobtainable with holographic and light-field technologies, such as long-throw projections, tall sandtables and ‘wrap-around’ displays1.

A photophoretic-trap volumetric display

We introduce a new holo-video display architecture ("Mark III") developed at the MIT Media Laboratory. The goal of
the Mark III project is to reduce the cost and size of a holo-video display, making it into an inexpensive peripheral to a
standard desktop PC or game machine which can be driven by standard graphics chips. Our new system is based on
lithium niobate guided-wave acousto-optic devices, which give twenty or more times the bandwidth of the tellurium
dioxide bulk-wave acousto-optic modulators of our previous displays. The novel display architecture is particularly designed
to eliminate the high-speed horizontal scanning mechanism that has traditionally limited the scalability of Scophony-
style video displays. We describe the system architecture and the guided-wave device, explain how it is driven
by a graphics chip, and present some early results.

Holographic video display based on guided-wave acousto-optic devices

A holographic video display comprises a monochromatic light source, a video signal generator, guided-wave acousto-optic modulators for diffracting light according to signals received from the video signal generator, a vertical scanning subsystem, and an optical path between the acousto-optic modulator and the vertical scanning subsystem. The optical path preferably comprises a Bravais lens system, first and second Fourier transform lens systems, and at least one holographic optical element or stationary mirror of continuous helical shape. In a method for generating a holographic image, monochromatic light is provided to at least one guided-wave acousto-optic modulator, the received light is diffracted according to a video signal, the guided-wave modulator aperture is scanned to produce a holo-line, the motion of the diffraction pattern is undone to render the holo-line stationary, the guided-wave modulator aperture is demagnified to create a wide field of view, and the holo-lines are tiled vertically to create the image.

Holographic video display system

A full-parallax acousto-optic/electro-optic holographic video display includes a control layer and a piezo-electric layer, which includes a substrate and an array of anisotropic waveguide elements. Each waveguide element guides light into a single polarization and includes a horizontal grating, which diffracts light horizontally and comprises surface acoustic waves, and vertical grating, which diffracts light vertically and includes an electro-optic phased array. The surface acoustic waves propagate linearly with the guided, polarized light in the waveguide, converting the polarized light into a leaky mode of orthogonal polarized light. The combination of the horizontal and vertical gratings allows the waveguide element to focus light to multiple points and steer it in order to form a holographic image. The horizontal grating may be generated by interdigital acousto-optic transducers and the vertical grating may be controlled by electro-optic transducers. Each waveguide element may be subdivided into sub-waveguides that form the electro-optic phased array.

Full-Parallax Acousto-Optic/Electro-Optic Holographic Video Display

Horizontal-parallax-only holographic stereograms of nearly SDTV resolution (336 pixels by 440 lines by 96 views) of textured and normal-mapped models (500 polygons) are rendered at interactive rates (10 frames/second) on a single dual-head commodity graphics processor for use on MIT’s third-generation electro-holographic display. The holographic fringe pattern is computed by a diffraction specific holographic stereogram algorithm designed for efficient parallelized vector implementation using OpenGL and Cg vertex/fragment shaders. The algorithm concentrates on lightfield reconstruction by holographic fringes rather than the computation of the interferometric process of creating the holographic fringes.

/pdf/real-time-shader-rendering-of-holographic-stereograms-3kyicpzx50.pdf

Real-time shader rendering of holographic stereograms

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