The aim of this note is to show that all the behaviour of a two-wire transmission line can be directly derived from the application of ABCD matrix mathematical concepts, avoiding the explicit use of differential equations. An important advantage of this approach is that the transmission line modelling arises naturally in the frequency domain. Therefore the consideration of frequency-dependent parameters can be carried out in a simple way compared with the time-domain. Some standard examples of transmission lines are analysed through the use of ABCD matrices and a case study of a balun network is presented.
BensonF. A.BensonT. M., Fields Waves and Transmission Lines (Chapman & Hall, London, 1991).
2.
ChipmanR. A., Theory and Problems of Transmission Lines (McGraw Hill, New York, 1968).
3.
ChristopoulosC., The Transmission-Line Modelling Method TLM, IEEE/OUP Series on Electromagnetic Wave Theory (IEEE Press, Piscataway, 1995).
4.
GuptaR.PileggiL. T., ‘Modelling lossy transmission lines using the method of characteristics,’IEEE Trans. Circuits Systems I: Fundamental Theory and Appl., 43 (1996) 580–582.
5.
HallG., The ARRL Antenna Book (The American Radio Relay League, Newington, 1991).
6.
HaytW. H.Jr.KemmerlyJack E., Engineering Circuit Analysis (McGraw Hill, New York, 1993).
7.
JohnsonW. C., Transmission Lines and Networks (McGraw Hill, New York, 1950).
8.
LonngrenK. E.BaiE. W., ‘Simulink simulation of transmission lines,’IEEE Circuits & Devices Magazine, 12 (1996) 10–16.
9.
PeresP. L. D.BonattiI. S.LopesA., ‘Transmission line modelling: A circuit theory approach,’SIAM Review, 40(2) (June 1998) 347–352.
10.
YengstW. C., Procedures of Modern Network Synthesis (Macmillan, New York, 1964).
