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Date of Publication:2022-10-09

Journal:物理学报

Volume:58

Issue:2

Page Number:1091-1099

ISSN No.:1000-3290

Abstract:A semi-analytical dual edge element is proposed to solve the waveguide discontinuities. The governing equations for electromagnetic waveguide are converted to the Hamiltonian system, and the corresponding variational principle based oil the dual variables is given. For waveguide sections which are homogeneous along the longitudinal direction, the dual edge element is employed to discretize the cross section, and a precise integration method based oil the Riccati equations is used for the longitudinal integration to generate the export stiffness matrices. The whole waveguide discontinuity problems call be solved by combining the export stiffness matrices of homogeneous waveguide sections with the system matrices by conventional three-dimentional finite element method for inhomogneous waveguide sections. Numerical examples demonstrate the high accuracy and efficiency of this method for solving waveguide discontinuity problems.

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