CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2007, Vol. 24 ›› Issue (5): 561-565.

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Edge Element Analysis of Electro-Magnetic Waveguide Based on Symplectic System

YANG Hongwei1, ZHONG Wanxie2, SUI Yunkang3   

  1. 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
  • Received:2006-05-18 Revised:2006-10-20 Online:2007-09-25 Published:2007-09-25

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.

Key words: waveguide, symplectic, semianalytical method, edge element

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