第一类球波函数的柱波函数展开

On the Expansion of First—kind Spherical Wave Functions in Terms of Cylindrical Wave Functions

本文首先给出了第一类标量球波函数的标量柱波函数展开式,然后根据矢量波函数的定义给出了第一类矢量球波函数的矢量柱波函数展开式。

An expansion of the first—kind scalar spherical wave functions in terms of the scalar cylindrical wave functions is given. Then ,according to the definition of vector wave functions,the expansions of the first—kind vector spherical wave functions in terms of the vector cylindrical wave functions are obtained. These expansions will be very useful in solving the problems of EM radiation and scattering with the complex boundary.