Analysis of hollow conducting waveguides using superquadric functions-A unified representation

Author

Lin, Sheng-Li ; Li, Le-Wei ; Yeo, Tat-Soon ; Leong, Mook-Seng

Author_Institution

Dept. of Electr. Eng., Nat. Univ. of Singapore, Singapore

Volume

48

Issue

5

fYear

2000

fDate

5/1/2000 12:00:00 AM

Firstpage

876

Lastpage

880

Abstract

Waveguides of various geometries have found many applications. The analysis of the wave modes inside these waveguides are usually subject to cross sections of the waveguides and specific, but convenient, coordinate systems have to be chosen in the analysis. In this paper, the boundary geometries of waveguides (which include rectangular, circular, elliptical, triangular, coaxial, etc.) are represented in a unified manner by a superquadric function. In this paper, with the Rayleigh-Ritz method, the wave propagation characteristics in a hollow conducting waveguide of the superquadric cross section are analyzed in a unified manner. From the analysis, it is realized that the superquadric function can be utilized to accurately model the boundary of various waveguide structures through variation of the shape parameters. The comparisons between the analytical and computational results show this method is accurate and efficient

Keywords

Rayleigh-Ritz methods; conducting bodies; waveguide theory; Rayleigh-Ritz method; boundary geometries; hollow conducting waveguides; shape parameters; superquadric functions; unified representation; wave modes; wave propagation characteristics; waveguide structures; Coaxial components; Electromagnetic propagation; Electromagnetic waveguides; Finite element methods; Geometry; Hollow waveguides; Mode matching methods; Polynomials; Rectangular waveguides; Shape;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.841893

Filename

841893