二次亥姆霍兹-高斯光束

2019 Days on Diffraction (DD) Pub Date : 2019-06-01 DOI:10.1109/DD46733.2019.9016581

A. Plachenov, G. Dyakova

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引用次数: 0

摘要

本文描述了一类新的傍轴抛物方程的局部解，它可以用两个函数的乘积来表示。其中一个是不同于基本模态的高斯轴对称函数，另一个可以用辅助双片复曲面上某个亥姆霍兹方程的任意解来表示。这里考虑了一些例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Quadratic Helmholtz–Gauss beams

We describe a new class of localized solutions of the paraxial parabolic equation, which can be represented as a product of two functions. One of them is a Gauss-type axisymmetric function different from a fundamental mode, the other one can be expressed in terms of an arbitrary solution of a certain Helmholtz equation on an auxiliary two-sheet complex surface. Some examples are considered.

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$2019 Days on Diffraction (DD)$

2019 Days on Diffraction (DD)

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