基于特征基函数法的一维理想导体粗糙海面电磁散射快速算法研究

A fast algorithm for electromagnetic scattering from a 1D perfectly electric conductor rough sea surface based on characteristic basis function method

摘要: 针对传统矩量法在处理具有较多未知量的理想导体粗糙海面电磁散射问题时对计算机内存的需求过大, 耗时过长的缺陷, 文中引入了特征基函数法, 并根据Foldy-Lax多径散射方程构造特征基函数, 首先只考虑离散子域本身的自相互作用构造主要特征基函数, 然后考虑各离散子域间的互耦效应构造次要特征基函数, 最后由主要特征基函数和次要特征基函数的加权叠加构造特征基函数.通过与传统矩量法仿真结果的对比, 讨论了不同次要特征基函数的阶数或不同离散子域的个数对计算精度和计算效率的影响.仿真结果表明了本文所采用的算法能够在保证计算精度的前提下, 减少计算时间, 并能够通过离散子域尺寸的选取控制实际操作矩阵的维数.

Abstract: More memory requirements and more time-consuming in simulating the electromagnetic (EM) scattering from a one dimensional (1D) perfectly electric conductor (PEC) rough sea surface with larger unknowns through the method of moments (MoM).To solve this problem, the characteristic basis function method (CBFM) is introduced in this paper, and the Foldy-Lax multiple scattering equations are applied to generate the characteristic basis functions (CBF).From the numerical simulations, it is obviously found that the proposed algorithm costs less time than the traditional MoM, thus can control the dimension of the operation matrix.