电各向异性介质目标散射分析的快速偶极子法

Fast dipole method for electromagnetic scattering from anisotropic dielectric targets

提出一种求解电场体积分方程的快速算法——快速偶极子法(fast dipole method,FDM),并用其求解了三维非均匀电各向异性介质目标的电磁散射问题。该方法基于等效偶极矩法(equivalent dipole-momentmethod,EDM)和Schaubert-Wilton-Glisson(SWG)基函数。在EDM中,将SWG基函数的体元对用偶极子等效,加快了阻抗矩阵元素的计算速度,但是并不能降低内存需求和矩阵求解时间。快速偶极子法通过简单的泰勒级数展开将阻抗矩阵元素的计算自然地转化为聚集-转移-发散的过程,有效地缓解了矩阵求解时间和内存消耗的矛盾。数值结果表明该方法的高效性以及令人满意的数值精度。

A new method, named fast dipole method （FDM） is presented to solve the volume integral equation （VIE） for electromagnetic scattering from three-dimensional （3D） inhomogeneous anisotropic dielectric targets, which is based on the equivalent dipole-moment method （EDM） and the Schaubert-Wilton-Glisson （SWG） basic function. The EDM speeds up the calculation of impedance elements, which views the SWG basic functions as dipole models, but it cannot save the time of solving matrix equation and memory requirement. Using a simple Taylor~ s series, the FDM transforms the impedance element into an aggregation-translation-disaggregation form naturally, which accelerates the matrix vector products and saves memory. Simulation results demonstrate the efficiency and accuracy of this method.