截断拉盖尔-高斯光束的MG2因子
MG2 factor of truncated Laguerre-Gaussian beams
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摘要: 用广义截断二阶矩方法对截断圆对称拉盖尔高斯光束的广义光束传输因子(MG2因子)作了研究,得到了MG2因子的解析公式,并用数值计算例作了说明。研究表明,截断圆对称拉盖尔高斯光束MG2因子与截断参数和光束的阶数有关。随着截断参数的增加,MG2因子逐渐趋近于无截断圆对称拉盖尔高斯光束的光束传输因子值。Abstract: The generalized beam propagation factor(MG2 factor) of circularly symmetric truncated Laguerre-Gaussian beams is studied using the generalized truncated second-order moments method. A closed-form expression for the MG2 factor is derived and illustrated with numerical example. It is found that the MG2 factor of circularly symmetric truncated Laguerre-Gaussian beams depends on the truncation parameter and beam order,and asymptotically approaches the value of circularly symmetric untruncated Laguerre-Gaissain beams as the truncated parameter increases.
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