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Proceedings Paper

Propagation characteristics of truncated standard and elegant Laguerre-Gaussian beams
Author(s): Daomu Zhao; Zhangrong Mei; Juguan Gu; Haidan Mao; Linfei Chen; Shaomin Wang
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Paper Abstract

Based on the generalized Huygens-Fresnel diffraction integral and the expansion of the hard aperture function into a finite sum of complex Gaussian functions, approximate analytical expressions of standard and elegant Laguerre-Gaussian beams passing through a paraxial ABCD optical system with a hard-edged aperture are derived. On the basis of the truncated second-order moments method in the cylindrical coordinate system and the expansion of the hard aperture function into a finite sum of complex Gaussian functions, an approximate method for calculating the generalized beam propagation factor is proposed. Closed-form expressions for the generalized beam propagation factor of a truncated standard and elegant Laguerre-Gaussian beam are derived that depend on the orders of Laguerre polynomial and the beam truncation parameter. Some typical numerical examples are given and compared. It is shown that the results obtained by using the obtained analytical method accord with those by using the numerical integration method.

Paper Details

Date Published: 23 December 2004
PDF: 10 pages
Proc. SPIE 5639, Adaptive Optics and Applications III, (23 December 2004); doi: 10.1117/12.574891
Show Author Affiliations
Daomu Zhao, Zhejiang Univ. (China)
Zhangrong Mei, Huzhou Teachers College (China)
Zhejiang Univ. (China)
Juguan Gu, Huzhou Teachers College (China)
Zhejiang Univ. (China)
Haidan Mao, Zhejiang Univ. (China)
Linfei Chen, Zhejiang Univ. (China)
Shaomin Wang, Zhejiang Univ. (China)


Published in SPIE Proceedings Vol. 5639:
Adaptive Optics and Applications III
Wenhan Jiang; Yoshiji Suzuki, Editor(s)

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