Fractional-Fourier-transform calculation through the fast-Fourier-transform algorithm

被引：110

作者：

Garcia, J ^{[1
]}

Mas, D ^{[1
]}

Dorsch, RG ^{[1
]}

机构：

[1] UNIV ERLANGEN NURNBERG,INST PHYS,D-91058 ERLANGEN,GERMANY

来源：

APPLIED OPTICS | 1996年 / 35卷 / 35期

关键词：

fractional Fourier transform; fast Fourier transform; Fresnel integral;

D O I：

10.1364/AO.35.007013

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

A method for the calculation of the fractional Fourier transform (FRT) by means of the fast Fourier transform (FFT) algorithm is presented. The process involves mainly two FFT's in cascade; thus the process has the same complexity as this algorithm. The method is valid for fractional orders varying from -1 to 1. Scaling factors for the FRT and Fresnel diffraction when calculated through the FFT are discussed. (C) 1996 Optical Society of America

引用

页码：7013 / 7018

页数：6

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