Comparison of formulations for the vector finite element analysis of waveguides
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 comparisons; and the properties of the matrices. Three benchmark problems are described and use to compare the formulations: a rectangular waveguide partially loaded with lossless dielectric; an airfilled, doubleridged waveguide; and a shielded image guide with either lossless or lossy dielectric.
 Publication:

IEEE Transactions on Microwave Theory Techniques
 Pub Date:
 February 1994
 DOI:
 10.1109/22.275262
 Bibcode:
 1994ITMTT..42..308D
 Keywords:

 Dielectrics;
 Finite Element Method;
 Lossless Materials;
 Lossy Media;
 Magnetic Materials;
 Mathematical Models;
 Rectangular Waveguides;
 Vector Analysis;
 Corners;
 Eigenvalues;
 Eigenvectors;
 Maxwell Equation;
 Vectors (Mathematics);
 Weighting Functions;
 Communications and Radar