“复杂源”波场能量密度的不可积性

A. Tagirdzhanov, A. Kiselev
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引用次数: 0

摘要

众所周知,显示高斯型局域化的时谐“复源”波场是非齐次亥姆霍兹方程的解,其中源函数由某些具有圆形边缘的天线支持。我们处理了天线边缘附近的“复杂源”波场的能量密度,并表明它是不可积的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Nonintegrability of the energy density of “complex sources” wavefields
As is well known, time-harmonic “complex sources” wavefields that show a Gaussian-type localization, are solutions of inhomogeneous Helmholtz equation where source functions are supported by certain antennas with a circular edge. We address energy density of a “complex source” wavefield in a neighborhood of the edge of the antenna and show that it is nonintegrable.
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