Decoupled Potential Integral Equation for Electromagnetic Scattering From Arbitrarily Shaped Dielectric Objects
Decoupled Potential Integral Equation for Electromagnetic Scattering From Arbitrarily Shaped Dielectric Objects
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DOI：
10.1109/tap.2022.3161278
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发表时间：
2022
影响因子：
5.7
通讯作者：
L. Baumann;H. Aktulga;C. Macon;B. Shanker
中科院分区：
文献类型：
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作者：
L. Baumann;H. Aktulga;C. Macon;B. Shanker
最近，对于介质目标的散射，已经发展出使用势而不是场作为未知量的积分方程式。已经证明，这些公式可以被解释为它们在较宽的频谱上是良好的，这一结果已经在理论上被证明适用于球形系统。不幸的是，到目前为止，这个公式还没有在对象的实际离散化上实现。这就是本文的研究目的。具体地说，我们给出了一个条件良好且经过良好测试的DPIE公式，以及均匀、介电、任意形状目标电磁散射的所有必要实现细节。由此产生的解耦系统不会受到低频故障的影响。对于许多不同的介质靶，给出了演示这些特性的结果。此外，为了充分验证位势的两个积分方程解的正确性，我们给出了球面系统的解析解。
Recently, integral equation formulations that use potentials as opposed to fields as unknown quantities have been developed for scattering from dielectric objects. It has been shown that these formulations can be construed so that they are well-conditioned across a broad frequency spectrum, a result that has been theoretically proven for spherical systems. Unfortunately, to date, this formulation has not been implemented on practical discretizations of objects. This is the goal of this paper. Specifically, we present a well-conditioned and well-tested dpie formulation and all the necessary implementation details for electromagnetic scattering from homogeneous, dielectric, arbitrarily shaped objects. The resulting decoupled systems do not suffer from low frequency breakdown. Results that demonstrate these properties are presented for a number of different dielectric targets. Furthermore, in order to fully validate each of the two integral equation for the potentials, we develop analytical solutions for spherical systems.