Fractional Fourier transform for elliptical Gaussian beams

被引：37

作者：

Cai, YJ

Lin, Q ^{[1
]}

机构：

[1] Zhejiang Univ, Inst Opt, Hangzhou 310028, Peoples R China

[2] Zhejiang Univ, State Key Lab Modern Opt Instrumentat, Hangzhou 310028, Peoples R China

来源：

OPTICS COMMUNICATIONS | 2003年 / 217卷 / 1-6期

基金：

中国国家自然科学基金;

关键词：

fractional Fourier transform; elliptical Gaussian beams; tensor ABCD law;

D O I：

10.1016/S0030-4018(03)01135-0

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Based on the definition of fractional Fourier transform (FRT), an analytical formula is derived for the FRT of elliptical Gaussian beam (EGB) by using a tensor method. The corresponding tensor ABCD law for performing the FRT of EGB is obtained. The connection between the FRT formula and the generalized Collins formula is discussed. By using the derived formula, the influences of the fractional order on the properties of EGB in the fractional Fourier plane are studied in detail. The derived formulae provide a powerful tool for analyzing and calculating the FRT of EGB. (C) 2003 Elsevier Science B.V. All rights reserved.

引用

页码：7 / 13

页数：7

共 28 条

[1] ANALYTICAL EXPRESSION FOR THE COMPLEX RADIUS OF CURVATURE TENSOR-Q FOR GENERALIZED GAUSSIAN BEAMS [J].