This paper 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 Nystr\"om-collocation method using Chebyshev polynomials to expand the unknown current densities over curvilinear quadrilateral surface patches. As an example, the proposed strategy is applied the to Magnetic Field Integral Equation (MFIE) and the N-M\"uller 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.
翻译:本文介绍了一种新方法,用于分解和解决Maxwell方程式整体方程配方,从而实现光度表面的光谱精度。该方法基于一种混合Nystr\"om-Colplace法,使用Chebyshev 多元分子法将未知的当前密度扩大至卷曲四边形表面补丁上。例如,拟议战略分别适用于磁场集成式(MFIE)和用于金属和电极物体散散射的N-M\'uller配方。该方法针对从 CAD 软件导入的多个不同的地理分布,包括球体、立方体和复杂的 NURBS 地形进行了研究,并将结果与使用 RWG 基础功能的商业模型求解器进行比较。