Analysis of cylindrical transmission lines with the method of lines

Author

Xiao, Shujun ; Vahldieck, Rudiger ; Hesselbarth, Jan

Author_Institution

Dept. of Electr. & Comput. Eng., Victoria Univ., BC, Canada

Volume

44

Issue

7

fYear

1996

fDate

7/1/1996 12:00:00 AM

Firstpage

993

Lastpage

999

Abstract

Cylindrical transmission lines are important for a variety of applications. To calculate their propagation characteristics, the method of lines in cylindrical coordinates has been adopted. By discretizing the angular space direction with radial lines, the two-dimensional (2-D) Helmholtz equation reduces to a set of ordinary one-dimensional (1-D) differential equations, which can be solved analytically in radial direction after an orthogonal transformation. To improve the accuracy of the cylindrical method of lines from second-order to fourth-order, neighboring lines are used to eliminate second-order discretization errors not only in the Helmholtz equation but also in the continuity equation and in the edge condition. The method is suitable for the analysis of asymmetric cylindrical homogeneous and inhomogeneous guided wave structures

Keywords

Helmholtz equations; differential equations; transmission line theory; 2D Helmholtz equation; continuity equation; cylindrical coordinates; cylindrical transmission lines; edge condition; method of lines; ordinary 1D differential equations; orthogonal transformation; propagation characteristics; second-order discretization errors; Antenna feeds; Differential equations; Mobile antennas; Mobile communication; Multiconductor transmission lines; Periodic structures; Transmission line antennas; Transmission line matrix methods; Transmission lines; Two dimensional displays;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.508630

Filename

508630