Title :
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
fDate :
7/1/1996 12:00:00 AM
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;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
