Wave optical algorithm for creating digitally synthetic holograms of three-dimensional surface objects

Progress in a novel wave-optical algorithm for synthesizing object waves of three-dimensional surface objects is reported. The algorithm has been proposed last year and has a feature of wave-optical calculation in diffraction by object surfaces. Numerical simulation of diffraction is implemented by a method based on coordinates rotation in Fourier spectrum. Source fields on a surface of objects are given as complex property functions defined on each object surface. These property functions provide information on each surface, such as the shape and diffusiveness. General formulation of the algorithm has been presented, but its numerical implementation was limited only to the cases of single axis rotation of plane surfaces. In this investigation the limitation is removed, i.e. two-axes rotation of plane surfaces is presented and reconstruction of holograms of 3-D objects composed of rotated planes are demonstrated. Furthermore, compensation of surface brightness is discussed for accurate shading objects.