The generalized beam propagation factor of truncated standard and elegant Laguerre-Gaussian beams
The generalized beam propagation factor of truncated standard and elegant Laguerre-Gaussian beams
复制标题
截断标准优雅拉盖尔高斯光束的广义光束传播因子
DOI：
10.1088/1464-4258/6/11/002
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发表时间：
2004-11-01
期刊：
影响因子：
--
通讯作者：
Zhao, DM
中科院分区：
文献类型：
--
作者：
Mei, ZR;Zhao, DM
On the basis of the truncated second-order moments method in the cylindrical coordinate systems and the expansion of the hard-edged aperture function into a finite sum of complex Gaussian functions, an approximate method for calculating the generalized beam propagation factor (M-2 factor) is proposed. Closed-form expressions for the generalized M-2 factor of truncated standard and elegant Laguerre-Gaussian beams are respectively derived; it is shown that they depend on the orders p and m of the Laguerre polynomial and the beam truncation parameter delta. Some typical numerical examples are given and compared by using the obtained analytical method and the numerical integration method.
