A new edge element for the modeling of field singularities in transmission lines and waveguides

Author

Gil, José Ma ; Webb, Jon P.

Author_Institution

Dept. de Electromagnetismo y Teoria de Circuito, Univ. Politecnica de Madrid, Spain

Volume

45

Issue

12

fYear

1997

fDate

12/1/1997 12:00:00 AM

Firstpage

2125

Lastpage

2130

Abstract

Edge finite elements are widely used in the analysis of waveguides and transmission lines. They have tangential continuity and they do not produce spurious modes. However, they cannot model the singular behavior of the transverse fields in the neighborhood of sharp edges. This fact limits the accuracy of the representation of the fields and the order of convergence of the method. In this paper, we present a new edge element in which the singular approximation of the three fields components and the correct modeling of the curl is incorporated. The development of the basis functions is described. Some numerical results for waveguides with sharp metal edges are shown in order to validate this theory

Keywords

convergence of numerical methods; finite element analysis; transmission line theory; waveguide theory; edge element; field singularities; finite elements; sharp edges; singular approximation; tangential continuity; transmission lines; transverse fields; waveguides; Convergence; Councils; Finite element methods; Gas insulated transmission lines; Helium; Polynomials; Shape; Transmission line theory; Transmission lines; Waveguide theory;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.643747

Filename

643747