MPI并行矩量法计算二维粗糙面波束电磁散射

通过有限脉冲响应滤波器理论和快速傅里叶变换方法，模拟了二维高斯随机粗糙面。从电场积分方程出发，利用RWG (Rao-Wilton-Glisson)基函数矩量法结合Galerkin方法，在PC集群并行平台上研究了二维导体高斯粗糙面对波束的电磁散射特性。为使得PC集群信息传递接口(message passing interface, MPI) 并行平台上各参与运算的各进程的负载平衡，对整个阻抗矩阵按行分块，并详细讨论了并行共轭梯度法求解矩量法矩阵方程的并行实现过程。最后在PC集群MPI并行平台上进行数值实验，分析了在波束入射条件下，均方根高度、相关长度和极化方式对二维导体高斯粗糙面的电磁散射特性的影响。

Calculation of EM beam scattering from two-dimensional rough surface by parallel MOM based on MPI platform

Finite impulse response (FIR) filter theory and fast Fourier transform method are firstly applied to generate two dimensional Gaussian random rough surfaces. Using the electric field integral equation (EFIE), the method of moment (MOM) with Rao-Wilton-Glisson (RWG) basis function and Galerkin’s method are introduced to investigate the electromagnetic beam scattering by two dimensional perfect electric conductor (PEC) Gaussian random rough surface on the PC clusters. With the purpose of making every process involved has a balanceable task of the message passing interface (MPI) on the PC clusters, the whole impedance matrix is divided into blocks in the order of rows. The details of the parallel conjugate gradient method (CGM) for solving the matrix equation are also presented. The numerical simulations are obtained through the MPI platform on the PC clusters. Finally, the influences of the root mean square (RMS) height, the correlation length and the polarization on the beam scattering by two dimensional PEC Gaussian random rough surfaces are discussed.