Stabilization of Integral-Equation Formulations for the Accurate Solution of Scattering Problems Involving Low-Contrast Dielectric Objects
Stabilization of Integral-Equation Formulations for the Accurate Solution of Scattering Problems Involving Low-Contrast Dielectric Objects
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DOI：
10.1109/tap.2008.916971
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发表时间：
2008-03
影响因子：
5.7
通讯作者：
O. Ergul;L. Gurel
中科院分区：
文献类型：
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作者：
O. Ergul;L. Gurel
考虑了涉及具有三维任意形状的低对比度电介质物体的散射问题的解决。使用传统形式的表面积分方程，如果物体的对比度较低，则无法准确计算散射场。因此，我们通过提取等效电流的非辐射部分来考虑公式的稳定性。我们还研究了各种类型的稳定公式，并表明通过消除积分方程内核中的恒等项可以系统地提高准确性。不仅针对小型散射体，而且针对采用多级快速多极算法解决的相对较大的问题，对传统公式和稳定公式进行了比较。针对涉及超过 250000 个未知数的问题，展示了低至 10-4 的介电对比度的稳定且准确的解决方案。
The solution of scattering problems involving low-contrast dielectric objects with three-dimensional arbitrary shapes is considered. Using the traditional forms of the surface integral equations, scattered fields cannot be calculated accurately if the contrast of the object is low. Therefore, we consider the stabilization of the formulations by extracting the nonradiating parts of the equivalent currents. We also investigate various types of stable formulations and show that accuracy can be improved systematically by eliminating the identity terms from the integral-equation kernels. Traditional and stable formulations are compared, not only for small scatterers but also for relatively large problems solved by employing the multilevel fast multipole algorithm. Stable and accurate solutions of dielectric contrasts as low as 10-4 are demonstrated on problems involving more than 250000 unknowns.