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Proceedings Article

Propagation characteristics of truncated standard and elegant Laguerre-Gaussian beams

[+] Author Affiliations
Daomu Zhao, Haidan Mao, Linfei Chen, Shaomin Wang

Zhejiang Univ. (China)

Zhangrong Mei, Juguan Gu

Huzhou Teachers College (China) and Zhejiang Univ. (China)

Proc. SPIE 5639, Adaptive Optics and Applications III, 149 (December 23, 2004); doi:10.1117/12.574891
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From Conference Volume 5639

  • Adaptive Optics and Applications III
  • Wenhan Jiang; Yoshiji Suzuki
  • Beijing, China | November 08, 2004

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.

© (2004) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.
Citation

Daomu Zhao ; Zhangrong Mei ; Juguan Gu ; Haidan Mao ; Linfei Chen, et al.
"Propagation characteristics of truncated standard and elegant Laguerre-Gaussian beams", Proc. SPIE 5639, Adaptive Optics and Applications III, 149 (December 23, 2004); doi:10.1117/12.574891; http://dx.doi.org/10.1117/12.574891


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