Extended Scattering Matrix Approach for Transient Analysis of Coupled Dispersive Lossy Transmission Lines with Arbitrary Loads

Abstract

A new method is presented for transient analysis of coupled dispersive lossy multiconductor transmission lines with arbitrary linear or non–linear terminations, based on an Extended Scattering Matrix (ESM) formulation. This method guarantees short time domain Green’s functions, a fast simulation algorithm and relatively small memory requirements. At each point in time, both sides of the transmission line structure are represented by an extended Thevenin (or Norton) model, consisting of a real constant impedance (or conductance) matrix and a time dependent voltage (or current) source vector. This equivalent model can be implemented in existing simulation programs. Some examples with linear and non–linear loads are presented to illustrate our approach.