Title :
Unified method for determining the complex propagation constant of reflecting and nonreflecting transmission lines
Author :
Reynoso-Hernández, J.A.
Author_Institution :
Div. de Fisica Aplicada, Centro de Investigacion Cientifica y de Educacion Superior de Ensenada (CICESE), Mexico
Abstract :
In this letter, a unified method for computing the complex propagation constant /spl gamma/ of reflecting and nonreflecting lines is presented. The method uses a new matrix representation of the wave cascade matrix of a line having any characteristic impedance. To overcome the sign ambiguity problem inherent to the classical method some parameters of the fictitious X/sub AM/ matrix are used and determined by the method itself. The success of the new procedure to resolve the sign ambiguity problem lies in the new matrix representation of the wave cascade matrix of a line having any characteristic impedance and in the reliable criterion to determine the a/sub m//c/sub m/ and b/sub m/ parameters of the fictitious X/sub AM/ matrix.
Keywords :
S-parameters; eigenvalues and eigenfunctions; electromagnetic wave propagation; method of lines; microstrip lines; transmission line matrix methods; ABCD matrix; characteristic impedance; complex propagation constant; nonreflecting transmission lines; reflecting transmission lines; scattering parameters; sign ambiguity problem; unified method; wave cascade matrix; wave propagation constant; Eigenvalues and eigenfunctions; Impedance measurement; Length measurement; Linear matrix inequalities; Performance evaluation; Probes; Propagation constant; Scattering parameters; Transmission line matrix methods; Transmission lines;
Journal_Title :
Microwave and Wireless Components Letters, IEEE
DOI :
10.1109/LMWC.2003.815695
