The origin of spurious modes in numerical solutions of electromagnetic field eigenvalue problems

Author

Schroeder, Werner ; Wolff, Ingo

Author_Institution

Dept. of Electr. Eng. & Sonderforschungsbereich, Duisburg Univ., Germany

Volume

42

Issue

4

fYear

1994

fDate

4/1/1994 12:00:00 AM

Firstpage

644

Lastpage

653

Abstract

The appearance of unphysical “spurious solutions” in addition to the true physical modes of a resonator or waveguide is a problem which pertains to a variety of numerical methods for the electromagnetic field eigenvalue problem e.g. finite-elements, boundary-elements, finite-differences, point-matching and the spectral domain method. The common cause of the problem is shown to be a misconception of the discretization of a parameter dependent indefinite operator. In particular the application of the method of moments (MoM) and equivalent procedures to problems which they are not suited for. The method of least squares with intermediate projection (MLSIP) is described as one reliable approach for discretization of parameter dependent indefinite operators

Keywords

eigenvalues and eigenfunctions; electromagnetic field theory; numerical analysis; spectral-domain analysis; EM fields; boundary-elements; electromagnetic field eigenvalue problems; finite-differences; finite-elements; intermediate projection; least squares method; numerical solutions; parameter dependent indefinite operator; point-matching; spectral domain method; spurious modes; Bibliographies; Eigenvalues and eigenfunctions; Electromagnetic fields; Electromagnetic waveguides; Equations; Finite difference methods; Helium; Least squares methods; Message-oriented middleware; Moment methods;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.285071

Filename

285071