Based upon an algorithm described in a separate paper , multiple transmission lines with skin effect losses and dispersive characteristics were analyzed by the volume equivalent principle, and the scattering matrix [Sω] and characteristic impedance matrix [z0ω] of the transmission lines were obtained. The [Sω] and [Z0(w)] were then transformed by the inverse FFT into the time domain. The scattering matrix representation is multiplicative in nature, which leads to the time domain formulation as a set of convolution integrals. Instead of attempting to solve a set of coupled convolution integral equations by the multivariable Newton-Raphson method, which may occasionally be unstable, we generated a set of object functions and applied a multivariable optimization technique, referred to as the modified Levenberg-Marquardt algorithm, to attain the solutions. The new method, which is quite general, reduces to the special cases derived in many previous publications.
|Number of pages
|IEEE Transactions on Microwave Theory and Techniques
|Published - Mar 1993
ASJC Scopus subject areas
- Condensed Matter Physics
- Electrical and Electronic Engineering