Orthonormal mode sets for the two-dimensional fractional Fourier transformation

被引：19
|
作者：
Alieva, Tatiana
Bastiaans, Martin J.
机构：
[1] Univ Complutense Madrid, Fac Ciencias Fis, E-28040 Madrid, Spain
[2] Tech Univ Eindhoven, Fac Elektrotech, NL-5600 MB Eindhoven, Netherlands
来源：
OPTICS LETTERS | 2007年 / 32卷 / 10期
关键词：
D O I：
10.1364/OL.32.001226
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
A family of orthonormal mode sets arises when Hermite-Gauss modes propagate through lossless first-order optical systems. It is shown that the modes at the output of the system are eigenfunctions for the symmetric fractional Fourier transformation if and only if the system is described by an orthosymplectic ray transformation matrix. Essentially new orthonormal mode sets can be obtained by letting helical Laguerre-Gauss modes propagate through an antisymmetric fractional Fourier transformer. The properties of these modes and their representation on the orbital Poincare sphere are studied. (c) 2007 Optical Society of America.
引用
收藏
页码：1226 / 1228
页数：3
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