Fast calculation of spherical computer generated hologram using spherical wave spectrum method

作     者：Jackin, Boaz Jessie Yatagai, Toyohiko 

作者机构：Utsunomiya Univ Ctr Opt Res & Educ Utsunomiya Tochigi 3218585 Japan 

出 版 物：《OPTICS EXPRESS》 (Opt. Express)

年 卷 期：2013年第21卷第1期

页      面：935-948页

核心收录：

学科分类：070207[理学-光学] 07[理学] 08[工学] 0803[工学-光学工程] 0702[理学-物理学] 

主　　题：Computation methods Computer generated holograms Far field diffraction Fresnel diffraction Holographic displays Wave propagation 

摘      要：A fast calculation method for computer generation of spherical holograms in proposed. This method is based on wave propagation defined in spectral domain and in spherical coordinates. The spherical wave spectrum and transfer function were derived from boundary value solutions to the scalar wave equation. It is a spectral propagation formula analogous to angular spectrum formula in cartesian coordinates. A numerical method to evaluate the derived formula is suggested, which uses only N(logN)(2) operations for calculations on N sampling points. Simulation results are presented to verify the correctness of the proposed method. A spherical hologram for a spherical object was generated and reconstructed successfully using the proposed method. (C) 2013 Optical Society of America