电磁场分析中三维标量Hemholtz方程的多极理论

THE MULTIPOLE THEORYOF3-D SCALAR HELMHOLTZ EQUATION IN ELECTROMAGNETIC COMPUTATION

本文从三维标量Ｈｅｌｍｈｏｌｔｚ方程的积分解出发，推导出三维标量Ｈｅｌｍｈｏｌｔｚ方程边值问题的多极理论通解，推导出多极理论中第二类Ｌｅｇｅｎｄｒｅ函数不可能出现这一结论，给出了三维多极理论和广义多极技术的最佳适用范围。

In this paper,we get the MT’s(Multipole Theory) general formula of3- D scalar Helmholtz equation,from the integration soution of 3- Dscalar Helmholtzequation,prove a law that there is no the second Legendre function in the MT, and give theoptimum using condition of the MT and the GMT(Generalized Multition Technique)。