Novel electromagnetic surface integral equations for highly accurate computations of dielectric bodies with arbitrarily low contrasts
Novel electromagnetic surface integral equations for highly accurate computations of dielectric bodies with arbitrarily low contrasts
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DOI：
10.1016/j.jcp.2008.08.004
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
Ö. Ergül;L. Gürel
中科院分区：
文献类型：
--
作者：
Ö. Ergül;L. Gürel
我们提出了一种新的稳定程序，涉及三维电介质对象与任意低对比度的电磁散射问题的精确表面配方。当物体的对比度较低时，传统的表面积分方程对散射场提供了不准确的结果，当散射体和主介质的电磁材料参数彼此接近时。我们提出了一个稳定的过程，涉及提取nonradiating电流和重排的右手边的方程使用虚构的入射场。然后，仅求解辐射电流以精确计算散射场。这种方法可以很容易地应用到现有的实现传统的配方，它需要微不足道的额外的计算成本，它也适合于解决大型问题的多层快速多极算法。我们表明，稳定导致强大的配方是有效的，即使是极低的对比度对象的解决方案。
We present a novel stabilization procedure for accurate surface formulations of electromagnetic scattering problems involving three-dimensional dielectric objects with arbitrarily low contrasts. Conventional surface integral equations provide inaccurate results for the scattered fields when the contrast of the object is low, i.e., when the electromagnetic material parameters of the scatterer and the host medium are close to each other. We propose a stabilization procedure involving the extraction of nonradiating currents and rearrangement of the right-hand side of the equations using fictitious incident fields. Then, only the radiating currents are solved to calculate the scattered fields accurately. This technique can easily be applied to the existing implementations of conventional formulations, it requires negligible extra computational cost, and it is also appropriate for the solution of large problems with the multilevel fast multipole algorithm. We show that the stabilization leads to robust formulations that are valid even for the solutions of extremely low-contrast objects.