Abstract

In this article we construct a special class of the generalized functions for the rigorous justification of joining method of solving some diffraction problems of electromagnetic waves by thin conducting screens. Linear functionals on a set of linear combinations of Hermit functions are considered as the generalized functions. The traces of the solutions of Helmholtz equation on the plane are interpreted in the generalized sense. The infinite sets of linear algebraic equations are derived directly from the generalized boundary conditions. The results of the computing experiment are presented.

中文翻译：

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开放空间电磁波衍射问题的广义解

摘要

在本文中，我们构造了一类特殊的广义函数，用于严格证明通过薄导电屏幕解决电磁波的一些衍射问题的连接方法。Hermit 函数的一组线性组合上的线性泛函被视为广义函数。Helmholtz 方程在平面上的解的轨迹是在广义上解释的。无限组线性代数方程直接从广义边界条件导出。给出了计算实验的结果。