Analysis of nonlinear termination networks for coupled lossy and dispersive transmission lines

George W. Pan, Gaofeng Wang, Barry K. Gilbert

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


Based upon an algorithm described in a separate paper [1], 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 [z] 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.

Original languageEnglish (US)
Pages (from-to)531-535
Number of pages5
JournalIEEE Transactions on Microwave Theory and Techniques
Issue number3
StatePublished - Mar 1993
Externally publishedYes

ASJC Scopus subject areas

  • Radiation
  • Condensed Matter Physics
  • Electrical and Electronic Engineering


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