A Green's function-based method for the transient analysis of transmission lines

This paper presents a new methodology for the transient analysis of lossy transmission lines. The proposed model is derived from the solution the Telegrapher's equations in the framework of the Sturm-Liouville theory. The open-end impedance matrix is expressed in a series form as sum of infinite rational functions, derived by the series form of the Green's function. The pole-residue rational model can then be synthesized in an equivalent circuit or converted into a state space model which can be easily interfaced with circuit Spice-like solvers. The numerical results confirm the robustness of the proposed transmission line modelling technique.