根据算子方程得到矩阵方程的新方法－基函数展开法

矩量法在计算电磁学中占有重要地位。矩量法是选择适当的基函数和权函数，进而得到矩阵方程。但该方法得到的阻抗矩阵是一个满阵，在复杂电磁学问题中，不论是阻抗矩阵填充还是求逆都会花费大量时间。提出了一种根据算子方程得到矩阵方程的新方法－基函数展开法，并给出应用该方法的一个例子。可看到该方法中不需要选择权函数，且阻抗矩阵是一个对角阵，从而大大节省阻抗矩阵填充时间和求逆时间。

A new method for obtaining matrix equations from operator equations: basis function expansion method

The method of moment(MOM) is an important method ofcomputational electromagnetics(CEM).The MOM chooses appropriate basis functions and testing functions to convert a continuous operator equation to a matrixequation. But this matrix is a full matrix,and much time is needed for the MOM analysis of complicated electromag-netics environment.This paper introduces a new method of obtaining matrix equations from continuous operator equations-basis function expansion method,and then gives an simple example for this method .Using this method does not need testing functions,and the impedance matrix is a diagonal matrix,so the filling time and finding the in-verse matrix time of impedance matrix are saved.