Evaluation of cut-off frequencies of higher order modes in eccentric coaxial line

Author

Das, B.N. ; Chakrabarty, S.B.

Author_Institution

Dept. of Electron. & Electr. Commun. Eng., Indian Inst. of Technol., Kharagpur, India

Volume

142

Issue

4

fYear

1995

fDate

8/1/1995 12:00:00 AM

Firstpage

350

Lastpage

356

Abstract

The paper presents a method of evaluation of the cut-off frequencies of higher order modes of transmission lines having eccentric annular cross-section using a combination of conformal transformation and the method of finite difference. The Laplacian operator appearing in the weighted Helmholtz equation resulting from the conformal transformation is represented as a five-point difference operator of unequal arm length along the two axes. The eigenvalues which give cut-off frequencies are evaluated from the characteristic equation expressed in terms of matrices obtained from a set of simultaneous equations satisfying the boundary conditions. Comparison of numerical data is presented

Keywords

Helmholtz equations; coaxial cables; eigenvalues and eigenfunctions; finite difference methods; transmission line theory; Laplacian operator; boundary conditions; conformal transformation; cut-off frequencies; eccentric annular cross-section; eccentric coaxial line; eigenvalues; finite difference method; five-point difference operator; higher order modes; numerical data; transmission lines; weighted Helmholtz equation;

fLanguage

English

Journal_Title

Microwaves, Antennas and Propagation, IEE Proceedings

Publisher

iet

ISSN

1350-2417

Type

jour

DOI

10.1049/ip-map:19951906

Filename

465192