Nodal and edge element analysis of inhomogeneously loaded waveguides

Author

Bardi, I. ; Biro, O. ; Preis, K. ; Vrisk, G. ; Richter, K.R.

Author_Institution

Graz Univ. of Technol., Austria

Volume

29

Issue

2

fYear

1993

fDate

3/1/1993 12:00:00 AM

Firstpage

1466

Lastpage

1469

Abstract

Comparisons of nodal and edge finite element analyses of inhomogeneously loaded waveguides are made. For nodal elements, the vector potential together with a scalar potential description is applied. For edge elements, the field description is used. Both descriptions are free of spurious solutions. The case of the treatment of the propagation constant as an eigenvalue is also discussed. A modified version of the bisection method is used when the matrices of the eigenvalue problem are not positive definite. Examples including waveguides with sharp metal edges are presented to compare the different methods. For problems with sharp edges, the edge element approximation is favorable

Keywords

dielectric-loaded waveguides; eigenvalues and eigenfunctions; finite element analysis; waveguide theory; bisection method; edge element analysis; eigenvalue; field description; finite element analyses; inhomogeneously loaded waveguides; nodal elements; propagation constant; scalar potential; sharp metal edges; vector potential; Eigenvalues and eigenfunctions; Finite element methods; Loaded waveguides; Microwave propagation; Microwave theory and techniques; Paper technology; Polynomials; Propagation constant; Symmetric matrices; Transmission line matrix methods;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.250679

Filename

250679