Multi-dimensional Imaging

Chapter 14Rigorous Diffraction Theory for 360° Computer-Generated Holograms

Toyohiko Yatagai, Yusuke Sando and Boaz Jessie Jackin

Center for Optical Research and Education, Utsunomiya University, Japan

14.1 Introduction

In computer-generated holography (CGH) [1] the fast Fourier transform (FFT) algorithm is commonly used to reduce the calculation time. Based on FFT, various types of algorithms for calculating diffraction have been developed [2]. Yoshikawa et al. have proposed a fast calculation method for large sized holograms by interpolation [3].

Most algorithms for a computer-generated hologram (CGH) using FFT are effective only under the condition that both the input and observation surfaces are finite planes parallel to each other. Some authors proposed fast calculation methods using FFT that can be applied to the case where the input plane is not parallel to the observation plane [[4, 5]]. These methods are very useful for the calculation of reconstructed images observed from different points of view [6]. However, since the observation surfaces, in any of the methods, are assumed to be planes, very high-resolution display devices are necessary to enlarge the viewing angles. Although such devices are available, the reconstructed images cannot be observed from the opposite side of a hologram.

A remarkable technique developed to achieve 360 field of view is 360 holography ...