23 December 2004 Propagation characteristics of truncated standard and elegant Laguerre-Gaussian beams
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Proceedings Volume 5639, Adaptive Optics and Applications III; (2004); doi: 10.1117/12.574891
Event: Photonics Asia, 2004, Beijing, China
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.
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Daomu Zhao, Zhangrong Mei, Juguan Gu, Haidan Mao, Linfei Chen, Shaomin Wang, "Propagation characteristics of truncated standard and elegant Laguerre-Gaussian beams", Proc. SPIE 5639, Adaptive Optics and Applications III, (23 December 2004); doi: 10.1117/12.574891; https://doi.org/10.1117/12.574891
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KEYWORDS
Beam propagation method

Gaussian beams

Diffraction

Testing and analysis

Beam analyzers

Laser beam propagation

Numerical integration

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