互补变分原理在时谐电磁场中的应用

The Application of Complementary Variational Principles in Sinusiodal Electromagnetic Field

从实际应用的需要出发，将单一媒质区域的互补变分理论推广到多种媒质区域，证明了扩展后的变分问题与多区域边值问题的等价性，将扩展后的泛函、互补泛函与边值问题相对应，形成了时谐电磁场中的互补变分问题，并讨论了应用它来求解不同时谐电磁场问题的几种特殊形式。

Considering the need in practical applications the authors extend thecomplementary variational principles from single-medium to multi-medium. The equivalencebetween variational problems and multi-region boundary value problems is proved,Utilizing theextended functional and complementary functional,we construct the complementary variationalproblem in a sinusoidal el ectromagnetic field.Several special forms in computating differentsinusoidal electromagnetic field problems are given.