预条件共轭梯度法在线天线阵列RCS分析中的应用

预条件共轭梯度法在线天线阵列RCS分析中的应用

内容简介：为计算线天线阵列的雷达散射截面，用脉冲函数为基函数的Galerkin法将线天线阵列的电场积分方程组转化为一个线性方程组，其系数矩阵是一个对称的二重复Toeplitz矩阵.用预条件共轭梯度法与快速傅里叶变换的组合算法求解该线性方程组，其中预条件器采用T.Chan的循环预条件器的分块形式.这样的处理方法降低了对计算机内存的需求，加快了迭代速度，并提高了算法的收敛性.

Abstract：To obtain the RCS of dipole-array antennas, the system of electric field integral equations is turned into a linear algebra system whose coefficient matrix is a symmetric block Toeplitz complex matrix by using Calerkin method with pulse basis functions. The linear algebra system is solved by a combination of the preconditioned conjugate gradient method (PCG) with the fast Fourier transform (FFT)， where T. Chan optimal circulant preconditioner is used. The above method reduces the need for computer memory, speeds the iteration and enhances the convergence.

作者：周后型, 童创明, 洪伟,

关键词：雷达散射截面, RCS, 线天线阵列, 预条件共轭梯度法