A Chebyshev-Based High-Order-Accurate Integral Equation Solver for Maxwell’s Equations
A Chebyshev-Based High-Order-Accurate Integral Equation Solver for Maxwell’s Equations
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DOI：
10.1109/tap.2021.3061145
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发表时间：
2020-07
影响因子：
5.7
通讯作者：
Jin Hu;Emmanuel Garza;Constantine Sideris
中科院分区：
文献类型：
--
作者：
Jin Hu;Emmanuel Garza;Constantine Sideris
本文介绍了一种离散和求解麦克斯韦方程组积分方程公式的新方法，该方法实现了光滑表面的谱精度。该方法基于混合尼斯特罗姆配置方法，使用切比雪夫多项式来扩展曲线四边形表面块上的未知电流密度。例如，所提出的策略分别应用于磁场积分方程 (MFIE) 和用于金属和电介质物体散射的 N-Müller 公式。研究了几种不同几何形状的收敛性，包括球体、立方体和从 CAD 软件导入的复杂 NURBS 几何形状，并将结果与使用 RWG 基函数的商业矩量法求解器进行了比较。
This article introduces a new method for discretizing and solving integral equation formulations of Maxwell’s equations, which achieves spectral accuracy for smooth surfaces. The approach is based on a hybrid Nyström-collocation method using Chebyshev polynomials to expand the unknown current densities over curvilinear quadrilateral surface patches. As an example, the proposed strategy is applied to the magnetic field integral equation (MFIE) and the N-Müller formulation for scattering from metallic and dielectric objects, respectively. The convergence is studied for several different geometries, including spheres, cubes, and complex NURBS geometries imported from CAD software, and the results are compared against a commercial Method-of-Moments solver using RWG basis functions.