Incorporation of edge conditions in moment method solutions

Incorporation of edge conditions in moment method solutions
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将边缘条件纳入矩法解决方案

DOI:
10.1109/tap.1977.1141678
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发表时间:
1977
影响因子:
5.7
通讯作者:
S. Govind
S. Govind
中科院分区:
计算机科学2区
文献类型:
--
作者:
D. Wilton;S. Govind

文献摘要

被引文献

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研究了矩量法解中边缘条件的使用。以条带的 TM 散射为例,针对低频检查了处理边缘行为的各种数值方案,其中准静态积分方程的解析解可用于比较。然后将相同的数值技术应用于一般动态情况。研究发现,如果未能将正确的边缘行为纳入电流扩展中,可能会导致边缘附近解的错误电流和异常行为。使用普通脉冲或在边缘处具有适当奇异脉冲的三角形展开函数可以避免这些困难。在脉冲的情况下,导出一个简单的校正因子,可用于事后校正计算的边缘电流。
The use of an edge condition in moment method solutions is investigated. Using as an example TM scattering by a strip, various numerical schemes for treating the edge behavior are examined for low frequencies where an analytical solution of the quasi-static integral equation is available for comparison. The same numerical techniques are then applied in the general dynamic case. It is found that failure to incorporate the correct edge behavior in the current expansion can resuit in erroneous currents and anomalous behavior of the solution near edges. The use of ordinary pulses or triangle expansion functions with appropriately singular pulses at the edges circumvents these difficulties. In the case of pulses, a simple correction factor is derived which can be used a posteriori to correct the calculated edge current.