ANALYSIS OF NONLINEAR TERMINATION NETWORKS FOR COUPLED LOSSY AND DISPERSIVE TRANSMISSION-LINES

Based upon an algorithm described in a separate paper 1!, multiple tr ansmission lines with skin effect losses and dispersive characteristic s were analyzed by the volume equivalent principle, and the scattering matrix Somega! and characteristic impedance matrix Z0omega! of the transmission lines were obtained. The Somega! and Z0(w)! were then t ransformed by the inverse FFT into the time domain. The scattering mat rix representation is multiplicative in nature, which leads to the tim e domain formulation as a set of convolution integrals. Instead of att empting to solve a set of coupled convolution integral equations by th e multivariable Newton-Raphson method, which may occasionally be unsta ble, we generated a set of object functions and applied a multivariabl e optimization technique, referred to as the modified Levenberg-Marqua rdt algorithm, to attain the solutions. The new method, which is quite general, reduces to the special cases derived in many previous public ations.