Transients on lossless exponential transmission lines using Allen's method

摘要

Exact analytical expressions for the time-domain step response matrix of the lossless exponential transmission line are developed, thereby extending the range of problems for which Allen's method can be applied for the transient analysis of networks consisting of interconnections of linear distributed elements, lumped linear and/or nonlinear elements, and arbitrary sources. An indication as to the correctness of the expressions is obtained by comparing them to published results, which also helps to give a better physical insight into the step response matrix. The response to a step input and the transient response to a sudden sinusoidal excitation are presented.