Integral equation scalar Green´s function formulation for computation of cutoff wavenumbers and modal fields in waveguides

Author

Altman, Zwi ; Renaud, Daniel ; Baudrand, Henri

Author_Institution

ENSEEIHT, Toulouse, France

Volume

42

Issue

3

fYear

1994

fDate

3/1/1994 12:00:00 AM

Firstpage

532

Lastpage

535

Abstract

A scalar formulation for cutoff wavenumber and modal field calculations is presented. Integral equations are used with a scalar Green´s function for a two dimensional rectangular resonator for both TE and TM modes. These are transformed into matrix equations by the Galerkin method. The electric TE field is calculated from the scalar potential and is written in the form of a contour integral. The advantage of the scalar formulation is the simple form of the matrix eigenvalue equations which are used in the moment method solution, and the economy in CPU time in the determination of TE cutoff wavenumbers

Keywords

Green´s function methods; cavity resonators; eigenvalues and eigenfunctions; integral equations; numerical analysis; rectangular waveguides; waveguide theory; Galerkin method; TE modes; TM modes; contour integral; cutoff wavenumbers; eigenvalue equations; integral equations; modal fields; moment method; scalar Green´s function formulation; two dimensional rectangular resonator; waveguides; Eigenvalues and eigenfunctions; Genetic expression; Green´s function methods; Integral equations; Moment methods; Rectangular waveguides; Tellurium; Testing; Transmission line matrix methods; Two dimensional displays;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.277454

Filename

277454