<title>New method of diffraction modeling on liquid crystal amplitude-phase screen with square cell for synthesis of wavefront in 3D image visualization system</title>

Abstract

The possibility of using a new method of the wave equation solution for computer modeling of diffraction on a liquid crystal amplitude phase mask, which consists of squared cell, for a wavefront reconstruction, structured light beam generation and image composition was considered. The method is based on a new integral approach to modeling the plane wave diffraction on an arbitrary two dimensional aperture by investigation of the singular wave component as informative part of diffraction field. It was shown that the result of diffraction on arbitrary aperture being treated as a discrete sum of elementary unit cell waves and diffracted field can be presented via orthogonal wave functions that play a role of eigenmodes as plane waves in free space. Developed on the basis of proposed integral representation the effective algorithm is useful for providing analytical studying and numerical modeling the aperture diffracted field and allows eliciting features of spatial behavior. The specific form of the convolution kernel that describes the diffraction with taking into account the size of cell allows alternative reconstruction procedure of a diffraction pattern. Application of new procedure to practical diffraction related phenomena may improve the processing efficiency without creating any artifacts associated with the diffraction field. The extension of new method of modeling diffraction on liquid crystal panel and possibilities of its practical application to information display are considered. The result of theoretical study and computer modeling the diffraction on a discrete matrix of square elements in near field with Unit Cell Wave concept applied to arbitrary surface description was represented. Conclusions regarding the possibilities to represent the arbitrary fields by using the discrete matrix of squared cells are arrived at. The technique for optical coding an adaptive optical hidden image in holographic elements has been proposed. A structure of a system that seems promising to produce a like hologram and method of operation directly images a pattern, which is previously calculated using a computer and displayed on the liquid crystal panel was explained. It was discussed the method of complex amplitude phase field distribution modeling in screen plane for three-DI scene synthesis as well as capabilities and characteristics of amplitude phase liquid crystal display for dynamic image visualization by using the "wavegram". This technique and algorithm for an aperture - synthesized image of three-dimensional objects can be applied to holographic screen technology development, which may have ever-growing use in many applied areas of systems for three-dimensional information visualization.