摘要
本文提出了求解电磁场边值问题的新方法:把矢量波方程的边值问题化为对应的标量波方程的边值问题加上两个附加的矢量微分运算的问题。用这种方法可以很方便地求解所有现在用并矢格林函数的本征展开法所能求得的各种并矢格林函数。可以求解用现有的方法很难求解的比较复杂系统的并矢格林函数。文中给出了加载的谐振腔的并矢格林函数就是其中的一例。
A new method for solving electromagnetic field boundary value problem is given. By using this method, the boundary value problem of vector wave equation can be transformed Into two independent boundary value problems of scalar wave equations and other two additional vector differentia! operations. All the dyadic Green's functions got by eigenfunction expansion of dyadic Green's functions can be got by this method easily and some of the dyadic Green's functions for complex system which are very difficult to get by ordinary method have been got by this new method. The dyadic Green's function for a dielectric loaded cavity is one of the given examples.
基金
国家自然科学基金
关键词
电磁场
并矢格林函数
矢量波函数
Dyadic Green's function
Rota tional field
Irrotational field
Vector wave function
