Fast calculation method for computer-generated cylindrical holograms based on the three-dimensional Fourier spectrum

被引：21

作者：

Sando, Yusuke ^{[1
,2
,3
]}

Barada, Daisuke ^{[1
,2
]}

Jackin, Boaz Jessie ^{[1
]}

Yatagai, Toyohiko ^{[1
]}

机构：

[1] Utsunomiya Univ, Ctr Opt Res & Educ, Utsunomiya, Tochigi 3218585, Japan

[2] Utsunomiya Univ, Grad Sch Engn, Utsunomiya, Tochigi 3218585, Japan

[3] Technol Res Inst Osaka Prefecture, Izumi, Osaka 5941157, Japan

来源：

OPTICS LETTERS | 2013年 / 38卷 / 23期

关键词：

DIFFRACTION;

D O I：

10.1364/OL.38.005172

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The relation between a three-dimensional (3D) object and its diffracted wavefront in the 3D Fourier space is discussed at first and then a rigorous diffraction formula onto cylindrical surfaces is derived. The azimuthal direction and the spatial frequency direction corresponding to height can be expressed with a one-dimensional (1D) convolution integral and a 1D inverse Fourier transform in the 3D Fourier space, respectively, and fast Fourier transforms are available for fast calculation. A numerical simulation of a diffracted wavefront on cylindrical surfaces is presented. An alternative optical experiment equivalent of the optical reconstruction from cylindrical holograms is also demonstrated. (C) 2013 Optical Society of America

引用

页码：5172 / 5175

页数：4