Differences between extended-integral-equation and method-of-auxiliary-sources solutions of a simple scattering problem
Differences between extended-integral-equation and method-of-auxiliary-sources solutions of a simple scattering problem
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简单散射问题的扩展积分方程和辅助源方法解之间的差异
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
I. Psarros
中科院分区：
文献类型：
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作者：
G. Fikioris;N. Tsitsas;I. Psarros
辅助表面电流，通过应用辅助源（MAS）的方法来确定的散射问题的完美导体，可能会表现出一定形式的振荡，这是固有的MAS和独立的字长和数值积分例程。本工作的目的是证明分析的“扩展积分方程”（这是类似于MAS的一个主要区别，未知的是散射体上的实际表面电流）不表现出上述类型的振荡。因此，振荡发生在扩展的积分方程很可能是由于有限字长或数值积分误差。
The auxiliary surface current, determined by applying the Method of Auxiliary Sources (MAS) to scattering problems by perfect conductors, may exhibit a certain form of oscillations, which are inherent to MAS and are independent of the word-length and the numerical-integration routines. The purpose of the present work is to demonstrate analytically that the “extended integral equation” (which is similar to the MAS one with the main difference that the unknown is the actual surface current on the scatterer) does not exhibit oscillations of the type described above. Hence, oscillations occurring in the extended integral equation are likely to be due to finite word-length or numerical integration errors.