SMFSIA/CAG快速计算二维分形粗糙面的电磁散射特性

应用稀疏矩阵平面迭代/规范网格法(sparse-matrix flat-surface iterative approach and canonical grid method,SMFSIA/CAG)快速计算了二维分形粗糙面的电磁散射特性。在SMFSIA/CAG中,基于迭代法的原理,通过加快迭代收敛速度和加速矩阵向量积两个方面对该算法进行了改进,推导了关于平面展开的高阶泰勒级数展开公式,并对近场相关距离和泰勒级数展开阶数对算法效率的影响进行了分析。SMFSIA/CAG的应用降低了计算量,实现了对二维分形粗糙面电磁散射特性快速、准确地仿真计算。

Fast computation of electromagnetic scattering characteristics for 2-D fractal rough surface by SMFSIA/CAG

A scheme is presented by applying the sparse-matrix flat-surface iterative approach and canonical grid method(SMFSIA/CAG) to compute the electromagnetic scattering characteristics fast for 2-D fractal rough surface.In SMFSIA/CAG,to increase computational efficiency in solving the matrix equation,both the speed of the iterative convergence and the matrix-vector multiplication are picked up based on iterative theory.The extended formula of the high order Taylor’s series about the horizontal distance is derived.The relationship between the Taylor’s series or the neighborhood distance and the efficiency of the arithmetic are analyzed.The application of SMFSIA/CAG reduces the computational load,so it may solve the electromagnetic scattering characteristics of the 2-D fractal rough surface efficiently and accurately.