Analysis of inhomogeneously filled waveguides using a bi-orthonormal-basis method

Author

Silvestre, Enrique ; Abián, Miguel Angel ; Gimeno, Benito ; Ferrando, Albert ; Andrés, Miguel V. ; Boria, Vicente E.

Author_Institution

Dept. de Opt., Valencia Univ., Spain

Volume

48

Issue

4

fYear

2000

fDate

4/1/2000 12:00:00 AM

Firstpage

589

Lastpage

596

Abstract

A general theoretical formulation to analyze inhomogeneously filled waveguides with lossy dielectrics is presented in this paper. The wave equations for the tranverse-field components are written in terms of a nonself-adjoint linear operator and its adjoint. The eigenvectors of this pair of linear operators define a biorthonormal-basis, allowing for a matrix representation of the wave equations in the basis of an auxiliary waveguide. Thus, the problem of solving a system of differential equations is transformed into a linear matrix eigenvalue problem. This formulation is applied to rectangular waveguides loaded with an arbitrary number of dielectric slabs centered at arbitrary points. The comparison with theoretical results available in the literature gives good agreement

Keywords

dielectric-loaded waveguides; eigenvalues and eigenfunctions; inhomogeneous media; matrix algebra; rectangular waveguides; waveguide theory; bi-orthonormal basis method; differential equation; inhomogeneously filled waveguide; linear matrix eigenvalue problem; lossy dielectric slab; nonself-adjoint linear operator; numerical analysis; rectangular waveguide; wave equation; Dielectric losses; Differential equations; Eigenvalues and eigenfunctions; Electromagnetic waveguides; Loaded waveguides; Partial differential equations; Slabs; Transmission line matrix methods; Waveguide components; Waveguide theory;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.842031

Filename

842031