| HAMILTONIAN SYMPLECTIC SEMI-ANALYTICAL METHOD AND ITS APPLICATION IN INHOMOGENEOUS ELECTROMAGNETIC WAVEGUIDES |
| |
| 引用本文： | 孙雁 谢军. HAMILTONIAN SYMPLECTIC SEMI-ANALYTICAL METHOD AND ITS APPLICATION IN INHOMOGENEOUS ELECTROMAGNETIC WAVEGUIDES[J]. 应用数学和力学(英文版), 2005, 26(3): 389-395. DOI: 10.1007/BF02440090 |
| |
| 作者姓名： | 孙雁 谢军 |
| |
| 作者单位： | Department of Engineering Mechanics，Shanghai Jiaotong University，Shanghai 200030，P.R.China，Department of Engineering Mechanics，Shanghai Jiaotong University，Shanghai 200030，P.R.China |
| |
| 基金项目： | ProjectsupportedbytheNationalNaturalScienceFoundationofChina (Nos.1 0 1 3 2 0 1 0，1 0 1 0 2 0 1 1 ) |
| |
| 摘 要： |
|
| 关 键 词： | 汉密尔顿系统 偶对几何 半解析解 异源电磁波导 |
| 收稿时间： | 2003-10-14 |
Hamiltonian symplectic semi-analytical method and its application in inhomogeneous electromagnetic waveguides |
| |
| Sun Yan Associate Professor, Doctor,Xie Jun. Hamiltonian symplectic semi-analytical method and its application in inhomogeneous electromagnetic waveguides[J]. Applied Mathematics and Mechanics(English Edition), 2005, 26(3): 389-395. DOI: 10.1007/BF02440090 |
| |
| Authors: | Sun Yan Associate Professor Doctor Xie Jun |
| |
| Affiliation: | Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai 200030, P.R. China |
| |
| Abstract: | 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. ( |
| |
| Keywords: | Hamilton) system symplectic geometry semi-analytical solution inhomogeneous electromagnetic waveguide |
| 本文献已被 CNKI 维普 万方数据 SpringerLink 等数据库收录！ |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 |
|
点击此处可从《应用数学和力学(英文版)》下载全文 |
