摘要
从变分原理出发,消去纵向分量,选取横向的电场和磁场组成对偶向量,将麦克斯韦基本方程导向了哈密顿体系,即辛几何的形式.对电磁波导的横截面采用有限元方法进行离散,得到一组线性代数方程组,该方程组可以用于求解波导传输波的截止频率以及传播常数.数值算例验证了本文方法的正确性.该方法为电磁波导的分析计算提供了一种新的研究方法.
Deducing from the variational principle, longitudinal component of electromagnetic waveguide is e- liminated and the transverse electric and magnetic components are treated as dual vectors to each other. Then the Maxwell equations for electromagnetic waveguide are derived to Hamilton system formulation and symplectic geomet- ric form. The finite element method is used to discretize the cross section of the waveguide structure, and a set of linear algebraic equations are obtained for calculating the cutoff frequency and propagation constant of electromag- netic wave in waveguide. Examples demonstrate the accuracy of the proposed method. This paper also provides a new approach to analyze and calculate the problem of electromagnetic waveguide.
出处
《大学物理》
北大核心
2016年第1期4-6,14,共4页
College Physics
基金
高等学校计算物理课程教学研究项目(Nos.JZW-14-JW-01)资助
关键词
辛体系
电磁波导
麦克斯韦方程
哈密顿体系
有限元方法
symplectic system
electromagnetic waveguide
Maxwell equations
I-Iamilton system
finite ele-ment method
