A comparison of formulations for the vector finite element analysis of waveguides

Author

Dillon, Bemice M. ; Webb, Jon P.

Author_Institution

Dept. of Electr. Eng., Univ. of Manchester Inst. of Sci. & Technol., UK

Volume

42

Issue

2

fYear

1994

fDate

2/1/1994 12:00:00 AM

Firstpage

308

Lastpage

316

Abstract

The principal formulations that have been proposed for finding the modes of waveguides by the finite element method are reviewed and compared. In each case, it is shown how Maxwell´s equations may be reduced to matrix form using the method of weighted residuals. The formulations are compared from several points of view: their ability to handle spurious modes, lossy materials, and reentrant corners; the number of field components; and the properties of the matrices. Three benchmark problems are described and used to compare the formulations: a rectangular waveguide partially loaded with lossless dielectric; an air-filled, double-ridged waveguide; and a shielded image guide with either lossless or lossy dielectric

Keywords

Maxwell equations; dielectric-loaded waveguides; finite element analysis; rectangular waveguides; waveguide theory; Maxwell´s equations; air-filled double-ridged waveguide; benchmark problems; field components; lossless dielectric loading; lossy materials; rectangular waveguide; reentrant corners; shielded image guide; spurious modes; vector finite element analysis; waveguide modes; weighted residuals; Dielectric losses; Dielectric materials; Eigenvalues and eigenfunctions; Finite element methods; Loaded waveguides; Magnetic fields; Maxwell equations; Rectangular waveguides; Transmission line matrix methods; Waveguide components;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.275262

Filename

275262