一种快速计算电磁各向异性介质目标RCS的新方法

摘要

从电磁理论中的体等效原理出发,推导了任意电磁各向异性介质目标电磁散射的体积分方程.在此基础上,由SWG基函数和伽略金法建立其矩阵方程.在迭代求解过程中,应用了快速计算阻抗元素的等效偶极子法和加速矩阵向量积的快速偶极子法两种快速算法,有效地降低了传统矩量法计算电磁各向异性介质目标RCS的时间.同时,在快速偶极子法中,远场组间互阻抗元素无需显式计算,并且形式简单的聚集、转移和发散函数可现用现算,从而大量节省了计算机内存.数值仿真结果表明:本文使用的方法在分析电磁各向异性介质目标的电磁散射特性中是非常有效的,不仅有高的计算效率和低的内存需求,而且有良好的数值精度.%Volume integral equation (VIE) for electromagnetic scattering of anisotropic dielectric is derived according to the volume equivalence principle. Schaubert-Wilton-Glisson (SWG) basis functions and Garlekin method are applied to build matrix equations. Both the equivalent dipole-momenf. method (EDM) for fast filling impedance matrix elements and the fast dipole method (FDM) for accelerating the iterative solution by expediting the matrix-vector products (MVPs) are employed to reduce the computing time compared with the conventional method of moments (MoM). Furthermore, in FDM, the matrix elements among the far groups are implicit calculations and the simple aggregation, translation and disaggregation functions are performed directly when they are used, which save memory significantly. The numerical results show that the new method has high efficiency and low memory requirements, as well as good numerical accuracy.