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
收藏
页码：5172 / 5175
页数：4
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