高斯随机粗糙表面的电磁散射研究

EM Scattering from Guass Rough Surface

本文利用数值方法研究高斯随机粗糙表面的电磁散射问题 .应用矩量法研究高斯随机粗糙表面的电磁散射可以使我们获得较为精确的数值结果 .但是 ,对于表面散射 ,应用矩量法时 ,表面未知变量的数目非常大 ,即使对于一维表面也需要几千个未知变量 .当我们求解矩阵方程时 ,计算机对求解的问题有几个限制 ,一个是内存的限制 ,一个是速度的限制 .为了克服内存的限制 ,发展了许多迭代数值算法 .本文发展了一种新的数值迭代方法 .利用这一方法 ,我们对高斯随机粗糙表面的电磁散射问题进行了研究 ,并与矩阵反演方法进行了比较 .所得结果表明 ,这种新的迭代法具有很好的收敛性 .

In this paper the scattering from Gauss rough surface is studied through numerical method.The matrix equation is formed by the moment method.Because the matrix equation is of large size,an effective solving method should be developed to deal with the problem.The author presents a new iterative method to solve the moment equation.The computed results are compared with one that are solved by direct matrix inverse method.The results show that the agreement between two results are very good.