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IEEE Transactions on Microwave Theory and Techniques
Volume 48 Number 5, May 2000

Table of Contents for this issue

Complete paper in PDF format

Analysis of Hollow Conducting Waveguides Using Superquadric Functions-A Unified Representation

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

Page 876.

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, coordinates 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.

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