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| 辛体系下利用棱单元的电磁波导的计算 | |
| 引用本文： | 杨红卫,钟万勰,隋允康.辛体系下利用棱单元的电磁波导的计算[J].计算物理,2007,24(5):561-565. |
| 作者姓名： | 杨红卫 钟万勰 隋允康 |
| 作者单位： | 1. 北京工业大学应用数理学院,北京,100022 2. 大连理工大学工程力学研究所,辽宁,大连,116023 3. 北京工业大学机械工程与应用电子技术学院,北京,100022 |
| 基金项目： | 北京工业大学应用数理学院基金 |
| 摘 要： | 为了解决复杂形状横截面的电磁波导问题,根据电磁波导的Hamilton体系,在辛几何形式下采用有限元半解析横向离散的方法对电磁波导进行求解.该方法可应用于任意各向异性材料,且便于处理不同介质的界面条件,求解用解析方法难以求解的复杂问题.利用棱单元进行有限元离散,给出矩形波导、T隔膜矩形波导、分层波导等多种波导的具体算例,其数值结果逼近于真实解,且伪解消除,表明该方法有效. |
| 关 键 词： | 波导 辛 半解析法 棱单元 辛体系 利用 棱单元 电磁波导 计算 System Symplectic Based Waveguide Element Analysis 伪解 逼近 数值结果 算例 隔膜 矩形波导 有限元离散 复杂问题 解析方法 条件 |
| 文章编号： | 1001-246X（2007）05-0561-05 |
| 收稿时间： | 2006-05-18 |
| 修稿时间： | 2006-05-182006-10-20 |
Edge Element Analysis of Electro-Magnetic Waveguide Based on Symplectic System |
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| YANG Hongwei,ZHONG Wanxie,SUI Yunkang.Edge Element Analysis of Electro-Magnetic Waveguide Based on Symplectic System[J].Chinese Journal of Computational Physics,2007,24(5):561-565. | |
| Authors: | YANG Hongwei ZHONG Wanxie SUI Yunkang |
| Institution: | 1.College of Applied Science,Beijing University of Technology,Beijing 100022,China;2.Research Institute of Engineering Mechanics,Dalian University of Technology,Dalian 116023,China;3.College of Mechanical Engineeing and Applied Electronics Technology,Beijing University of Technology,Beijing 100022,China |
| Abstract: | Based on the Hamilton formulation of electro-magnetic waveguides,a finite element semi-analytical transverse discretization with symplectic formulation is used to solve waveguides with complicated cross sections.The method is applicable to arbitrary an-isotropic materials and is easy to deal with interface conditions between different materials.It can be used to solve complicated problems difficult with analytical methods.The edge element is used in discretization.Rectangular waveguide,rectangular waveguide with T-septum and layered waveguide are studied.Numerical results approximate to theoretical results and do not show spurious solutions. |
| Keywords: | waveguide symplectic semianalytical method edge element |
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