The Discrete Variational Conformal Technique for the Calculation of Strip Transmission-Line Parameters

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7 Citations (Scopus)

Abstract

This paper describes a new method of obtaining the transmission line properties of strip transmission lines whose geometrical configurations would make them difficult to analyze with other available techniques. The Discrete Variational Conformal (DVC) technique relies on conformal transformations to obtain the simplest possible representation of the Green function for the configuration of interest. This Green function is then used with an assumed charge distribution in the plane of the original configuration, and in a novel variational expression for the modal capacitance. The resulting equation is particularly well suited for numerical evaluation. Sample configurations are used to compare DVC to other techniques: Exact conformal mapping, Method of Moments, Full Wave solutions, and a Transverse Transmission Line Method. Two examples of application of DVC to asymmetric configurations are given.

Original languageEnglish (US)
Pages (from-to)714-722
Number of pages9
JournalIEEE Transactions on Microwave Theory and Techniques
Volume34
Issue number6
DOIs
StatePublished - Jan 1 1986
Externally publishedYes

Fingerprint

strip transmission lines
Electric lines
Green's function
configurations
conformal mapping
Conformal mapping
Charge distribution
transmission lines
Method of moments
Green's functions
Capacitance
method of moments
charge distribution
capacitance
evaluation

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Condensed Matter Physics
  • Radiation

Cite this

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abstract = "This paper describes a new method of obtaining the transmission line properties of strip transmission lines whose geometrical configurations would make them difficult to analyze with other available techniques. The Discrete Variational Conformal (DVC) technique relies on conformal transformations to obtain the simplest possible representation of the Green function for the configuration of interest. This Green function is then used with an assumed charge distribution in the plane of the original configuration, and in a novel variational expression for the modal capacitance. The resulting equation is particularly well suited for numerical evaluation. Sample configurations are used to compare DVC to other techniques: Exact conformal mapping, Method of Moments, Full Wave solutions, and a Transverse Transmission Line Method. Two examples of application of DVC to asymmetric configurations are given.",
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