Collins formula in frequency-domain and fractional Fourier transforms

被引：30

作者：

Liu, ZY ^{[1
]}

Wu, XY ^{[1
]}

Fan, DY ^{[1
]}

机构：

[1] Acad Sinica, Shanghai Inst Opt & Fine Mech, Shanghai 201800, Peoples R China

来源：

OPTICS COMMUNICATIONS | 1998年 / 155卷 / 1-3期

关键词：

Collins formula in frequency-domain; fractional Fourier transform; reciprocally symmetric optical system; symmetric transform;

D O I：

10.1016/S0030-4018(98)00343-5

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Collins formula in frequency-domain has been derived. This formula gives the direct relationship between input and output spatial frequency spectra of a light field. Furthermore, by applying this formula the fractional Fourier transform (FRT) in frequency-domain can be investigated. It has been found that an arbitrary reciprocally symmetric ABCD optical system (RSOS) can implement the FRT in both space-domain and frequency-domain, with the same order. In other words, the FRT is a symmetric transform that performs the same operation in both space-domain and frequency-domain. (C) 1998 Elsevier Science B.V. All rights reserved.

引用

页码：7 / 11

页数：5

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