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

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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.

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Authors and Affiliations

  1. Department of Engineering Mechanics, Shanghai Jiaotong University, 200030, Shanghai, P. R. China

    Sun Yan Associate Professor, Doctor & Xie Jun

Authors
  1. Sun Yan Associate Professor, Doctor
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  2. Xie Jun
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Corresponding author

Correspondence to Sun Yan Associate Professor, Doctor.

Additional information

Communicated by ZHONG Wan-xie

Project supported by the National Natural Science Foundation of China (Nos. 10132010, 10102011)

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Yan, S., Jun, X. Hamiltonian symplectic semi-analytical method and its application in inhomogeneous electromagnetic waveguides. Appl Math Mech 26, 389–395 (2005). https://doi.org/10.1007/BF02440090

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  • DOI: https://doi.org/10.1007/BF02440090

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2000 Mathematics Subject Classification

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