The Response of a Terminated Uniform Two-Wire Transmission Line Excited by a Plane Electromagnetic Field

Abstract

ABSTRACT Consider a perfectly conducting uniform two-wire transmission line of finite length illuminated by a plane incident electromagnetic wave. The resulting voltage and current response is calculated by using the transmission line theory where the external excitation is modelled by distributed voltage and current sources. The line equations form a set of coupled linear nonhomogeneous ordinary differential equations which are transformed into a more convenient compact decoupled form. Analytical approaches to solve the compact line equations as well as the appropriate boundary conditions are presented. The compact formulation may be easily generalized to consider more complex systems than two-wire lines. In the frequency domain great importance is attached to the mathematical aspects (in the sense of analytic functions) of the line theory. The solutions are expanded in terms of residues and singularities by using a special application of Mittag-Leffler's theorem. Two inversion methods of the Laplace tra...