Propagation properties of Hermite-cosine-Gaussian beams through a paraxial optical ABCD system with hard-edge aperture

被引：29

作者：

Zhou, NR ^{[1
]}

Zeng, GH ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Elect Engn, State Key Lab Fiber Opt Local Area Networks & Adv, Shanghai 200030, Peoples R China

来源：

OPTICS COMMUNICATIONS | 2004年 / 232卷 / 1-6期

基金：

中国国家自然科学基金;

关键词：

hermite-cosine-Gaussian beam; analytical propagation expression; hard-edge aperture; optical ABCD system;

D O I：

10.1016/j.optcom.2003.12.070

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Based on the generalized Huygens-Fresnel diffraction integral, a recurrence propagation equation of Hermite-cosine-Gaussian (HcoG) beams through a paraxial optical ABCD system with hard-edge aperture is derived, which permits us to obtain the analytical propagation expression for HcoG beams of any order. Furthermore, the closed-form propagation expressions for the Gaussian, Hermite-Gaussian, cosine (sine)-Gaussian, cosh (sinh) and cosine (sine) beams passing through a paraxial optical ABCD system with hard-edge aperture can be obtained by treating them as special cases of the analytical propagation expression for HcoG beams. The advantages of our analytical results are analyzed, and the applications are illustrated with numerical examples. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：49 / 59

页数：11

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