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

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 fr...

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Veröffentlicht in:	IEEE transactions on microwave theory and techniques 1994-02, Vol.42 (2), p.308-316
Hauptverfasser:	Dillon, B.M., Webb, J.P.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied sciences Circuit properties Dielectric losses Dielectric materials Eigenvalues and eigenfunctions Electric, optical and optoelectronic circuits Electronics Exact sciences and technology Finite element methods Loaded waveguides Magnetic fields Maxwell equations Microwave circuits, microwave integrated circuits, microwave transmission lines, submillimeter wave circuits Rectangular waveguides Transmission line matrix methods Waveguide components
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Zusammenfassung:	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.< >
ISSN:	0018-9480 1557-9670
DOI:	10.1109/22.275262