电大尺寸导带二维散射的快速矩量法解

A Fast MOM Solution for the 2D Scattering from a Conducting Strip of Electrically Large Size

用矩量法 (MOM)、预条件共轭梯度法 (PCG)和快速傅里叶变换 (FFT)的混合技术分析了电大尺寸导带的二维散射问题 .该方法以等效电流作为未知函数建立积分方程或积微分方程 ,然后通过矩量法获得一个线性方程组 .用预条件共轭梯度法与快速傅里叶变换的结合算法(PCGFFT)来求解这个线性方程组 ,其中采用了T .Chan优化循环预条件器 .该混合技术降低了对计算机内存的需求 ,加快了算法的迭代速度 ,且增强了算法的收敛性 .

A mixed technique of moment method(MOM), preconditioned conjugate gradient method(PCG) and fast Fourier transform(FFT) is presented to deal with the 2D scattering from a conducting strip of electrically large size. In this method, the integral or integro differential equation for the equivalent current is first formulated, and then is turned into a linear algebra system by MOM, whose coefficient matrix is Toeplitz one. A combined algorithm of PCG and FFT is used to solve the system, where the optimal circulant preconditioner of T.Chan is adopted. The above method reduces the need for computer memory, speeds the iteration and enhances the convergence.