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基于线性函数空间理论的矩量法不仅适用于电磁场问题的数值计算,而且适用于解析法求解电磁场间题。本文分析了用本征函数作试函数和展开函数时的标量波动方程和泊松方程的反演形式,得到了一个很简单的对于各种边界条件普遍适用的公式。这一公式不仅适用于求解标量波动方程和泊松方程,而且只要稍加修改还可适用于解矢量波动方程问题,即求普遍形式的电磁场的激励问题。
The method of moments based on linear function space theory is not only suitable for the numerical calculation of electromagnetic field but also applicable to the analytic method to solve the electromagnetic field problem. In this paper, we analyze the scalar wave equation and the inversion form of the Poisson equation when the eigenfunction is used as the trial function and the expansion function, and get a very simple formula that is universally applicable to various boundary conditions. This formula is not only suitable for solving the scalar wave equation and the Poisson equation, but also applicable to solve the problem of vector wave equation with a little modification, that is to find the general form of electromagnetic field excitation problem.