Abstract

On the basis of the consideration of a boundary value problem for the associated Helmholtz equation it is shown that the existence of improper waves as oscillations attached to a source is possible in inhomogeneous guiding structures. It is suggested to interpret such boundary value problem as a self-consistent problem, because the inverse field influence on a source is taken into account in it. The example of a self-consistent boundary value problem describing a complex resonance as a special type of improper oscillations is given.

中文翻译：

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关联的亥姆霍兹方程的边值问题

摘要

基于对相关联的亥姆霍兹方程的边界值问题的考虑，表明在不均匀的引导结构中可能存在不适当的波作为附接到源的振荡。建议将这种边值问题解释为自洽问题，因为其中考虑了场的逆场影响。给出了一个自洽边界值问题的示例，该问题将复杂共振描述为一种特殊类型的不正确振荡。