Ince-Gaussian series representation of the two-dimensional fractional Fourier transform

被引：25

作者：

Bandres, MA ^{[1
]}

Gutiérrez-Vega, JC ^{[1
]}

机构：

[1] Technol Monterrey, Photon & Math Opt Grp, Monterrey 64849, Mexico

来源：

OPTICS LETTERS | 2005年 / 30卷 / 05期

关键词：

D O I：

10.1364/OL.30.000540

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We introduce the Ince-Gaussian series representation of the two-dimensional fractional Fourier transform in elliptical coordinates. A physical interpretation is provided in terms of field propagation in quadratic graded-index media whose eigenmodes in elliptical coordinates are derived for the first time to our knowledge. The kernel of the new series representation is expressed in terms of Ince-Gaussian functions. The equivalence among the Hermite-Gaussian, Laguerre-Gaussian, and Ince-Gaussian series representations is verified by establishing the relation among the three definitions. (C) 2005 Optical Society of America.

引用

页码：540 / 542

页数：3

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