Title :
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
fDate :
2/1/1994 12:00:00 AM
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;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
