Analytical expressions for the clipping of Laguerre- and Hermite-Gauss modes by circular apertures.

Analytical expressions for the clipping of Laguerre- and Hermite-Gauss modes by circular apertures.
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圆形孔径对拉盖尔模式和厄米高斯模式进行削波的解析表达式。

DOI:
10.1364/josaa.448808
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发表时间:
2022
期刊:
Journal of the Optical Society of America. A, Optics, image science, and vision
影响因子:
--
通讯作者:
G. Vajente
G. Vajente
中科院分区:
--
文献类型:
--
作者:
G. Vajente

文献摘要

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我们提出了一个封闭形式的解析表达式,描述了剪切的效果,由圆孔激光束,描述在本征模的傍轴波动方程的扩展,无论是拉盖尔-高斯或厄米-高斯基地。与常用的基于网格的数值积分相比,该结果提供了一种更快,更准确的方法来计算高阶模式之间的耦合。
We present a closed-form analytical expression that describes the effect of clipping by circular apertures on laser beams, described in terms of an expansion in eigenmodes of the paraxial wave equation, in either the Laguerre-Gauss or Hermite-Gauss bases. This result provides a faster and more accurate way to compute the coupling between higher-order modes, compared to commonly used grid-based numerical integration.