Propagation of hollow Gaussian beams through apertured paraxial optical systems

被引：89
|
作者：
Cai, Yangjian
He, Sailing
机构：
[1] Zhejiang Univ, Joint Res Ctr Photon Royal Inst Technol & Zhejian, Hangzhou 310027, Peoples R China
[2] Royal Inst Technol, Alfven Lab, Div Electromagnet Theory, SE-10044 Stockholm, Sweden
来源：
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 2006年 / 23卷 / 06期
关键词：
D O I：
10.1364/JOSAA.23.001410
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
On the basis of the generalized Collins formula and the expansion of the hard-aperture function into a finite sum of complex Gaussian functions, an approximate analytical formula for a hollow Gaussian beam propagating through an apertured paraxial stigmatic (ST) ABCD optical system is derived. Some numerical examples are given. Furthermore, by using a tensor method, we derive approximate analytical formulas for a hollow elliptical Gaussian beam propagating through an apertured paraxial general astigmatic ABCD optical system and an apertured paraxial misaligned ST ABCD optical system. Our results provide a convenient way for studying the propagation and transformation of a hollow Gaussian beam and a hollow elliptical Gaussian beam through an apertured general optical system. (C) 2006 Optical Society of America.
引用
收藏
页码：1410 / 1418
页数：9
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