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

George Pan, Gaofeng Wang, Barry K. Gilbert

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

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 [SωRB and characteristic impedance matrix [Z0ωRB of the transmission lines were obtained. The [SωRB 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
Volume41
Issue number3
DOIs
StatePublished - Mar 1993
Externally publishedYes

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Space Shuttle Boosters
S matrix theory
convolution integrals
transmission lines
Electric lines
Newton-Raphson method
Convolution
fast Fourier transformations
Scattering
integral equations
Skin effect
impedance
formulations
Fast Fourier transforms
optimization
Integral equations
matrices

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Analysis of nonlinear termination networks for coupled lossy and dispersive transmission lines. / Pan, George; Wang, Gaofeng; Gilbert, Barry K.

In: IEEE Transactions on Microwave Theory and Techniques, Vol. 41, No. 3, 03.1993, p. 531-535.

Research output: Contribution to journalArticle

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