A pole-free modal field-matching technique for eigenvalue problems in electromagnetics

Author

Amari, Smain ; Bornemann, Jens

Author_Institution

Dept. of Electr. & Comput. Eng., Victoria Univ., BC, Canada

Volume

45

Issue

9

fYear

1997

fDate

9/1/1997 12:00:00 AM

Firstpage

1649

Lastpage

1653

Abstract

A pole-free formulation of the modal field-matching technique (MFMT) as applied to eigenvalue problems in electromagnetics is presented in this paper. The poles in the determinantal equation are systematically eliminated, without requiring previous knowledge of their locations or nature, resulting in well-behaved determinants. The minimum singular value in a singular-value decomposition of the pole-free matrix exhibits much wider dips than that obtained from the standard MFMT. The pole-free formulation is applied to determine the cutoff wavenumbers of a ridged waveguide to demonstrate its validity and efficiency

Keywords

eigenvalues and eigenfunctions; mode matching; ridge waveguides; singular value decomposition; waveguide theory; cutoff wavenumbers; determinantal equation; eigenvalue problems; electromagnetics; minimum singular value; pole-free modal field-matching technique; ridged waveguide; Central Processing Unit; Eigenvalues and eigenfunctions; Electromagnetic fields; Electromagnetic waveguides; Equations; Matrix decomposition; Mode matching methods; Physics; Poles and zeros; Transmission line matrix methods;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.622938

Filename

622938