摘要
本文定义并构造了柱矢量波函数,导出标准和非标准柱矢量波函数的转换关系式。具体讨论了圆柱、椭圆柱和抛物柱系统中的标准和非标准矢量波函数及其转换关系式,其中圆柱坐标系统中的结果与作者1984年的结果完全一致。
In this paper, the normal and abnormal cylindrical vector wave functions are constructed and their conversion relations are found out. Furthermore, thte normal and abnormal vector wave functions and their conversion relations in circular, elliptic and parabolic cylindrical coordinate systems are discussed in detail, where the result in circular cylindrical coordinate system is the same as that given by Zhou Xuesong (1984).
关键词
柱函数
矢量波函数
转换关系
Cylindrical functions
Generating functions
Piloting vectors
Vector wave functions
