Hamiltonian symplectic semi-analytical method and its application in inhomogeneous electromagnetic waveguides

被引：0
|
作者：
Sun Yan
Xie Jun
机构：
[1] Shanghai Jiaotong University,Department of Engineering Mechanics
来源：
Applied Mathematics and Mechanics | 2005年 / 26卷 / 3期
关键词：
Hamilton system; symplectic geometry; semi-analytical solution; inhomogeneous electromagnetic waveguide; O35; O241; 78A50; 78M25;
D O I：
10.1007/BF02440090
中图分类号：
学科分类号：
摘要：
Dual vectors are applied in Hamilton system of applied mechanics. Electric and magnetic field vectors are the dual vectors in electromagnetic field. The Hamilton system method is introduced into the analysis of electromagnetism waveguide with inhomogeneous materials. The transverse electric and magnetic fields are regarded as the dual. The basic equations are solved in Hamilton system and symplectic geometry. With the Hamilton variational principle, the symplectic semi-analytical equations are derived and preserve their symplectic structures. The given numerical example demonstrates the solution of LSE (Longitudinal Section Electric) mode in a dielectric waveguide.
引用
收藏
页码：389 / 395
页数：6
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