Abstract

It is shown that the source function on the right-hand side of the Helmholtz equation, which is a solution of a homogeneous boundary value problem for this equation, provides the excitation of an associated wave (oscillation). Since this wave (oscillation) exists only in the presence of a source of the specified type, it is proposed to classify them (wave and oscillation) as associated with the source, and to consider the problem “generating” them as self-consistent, because the excited wave (oscillation) is in synchronism with the source in all wave numbers and energy balance.

中文翻译：

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与源有关的振荡和波动的自洽问题

摘要

结果表明，Helmholtz方程右侧的源函数（该方程的齐次边值问题的解决方案）提供了相关波的激发（振荡）。由于此波（振荡）仅在存在指定类型的源时才存在，因此建议将其（波和振荡）归类为与源相关联，并考虑“生成”它们为自洽的问题，因为激发波（振荡）在所有波数和能量平衡方面都与源同步。