Gw. Pan et al., ANALYSIS OF NONLINEAR TERMINATION NETWORKS FOR COUPLED LOSSY AND DISPERSIVE TRANSMISSION-LINES, IEEE transactions on microwave theory and techniques, 41(3), 1993, pp. 531-535
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.