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A General Waveguide Circuit Theory.

Roger B Marks1, Dylan F Williams1

  • 1National Institute of Standards and Technology, Boulder, CO 80303.

Journal of Research of the National Institute of Standards and Technology
|January 6, 2017
PubMed
Summary
This summary is machine-generated.

This study presents a rigorous generalization of electromagnetic waveguide circuit theory, applicable to all linear, isotropic materials, including lossy conductors. It clarifies traveling waves versus pseudo-waves and introduces new circuit matrix relationships and reciprocity principles.

Keywords:
characteristic impedancecircuit theorymicrowave measurementnetwork analyzerpseudo-wavesreciprocityreference impedancetransmission linetraveling waveswaveguide

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Area of Science:

  • Electromagnetics
  • Circuit Theory
  • Waveguide Analysis

Background:

  • Classical circuit theory for electromagnetic waveguides has limitations.
  • Existing theories often do not rigorously handle lossy conductors or hybrid modes.

Purpose of the Study:

  • To generalize and extend classical circuit theory for electromagnetic waveguides.
  • To rigorously formulate waveguide behavior for all linear, isotropic materials.
  • To differentiate traveling waves from pseudo-waves based on characteristic impedance.

Main Methods:

  • Development of a generalized circuit theory for electromagnetic waveguides.
  • Rigorous mathematical formulation for linear, isotropic materials.
  • Definition and analysis of characteristic impedance for wave distinction.
  • Derivation of relationships among characterizing matrices for linear circuits.

Main Results:

  • A unified, rigorous formulation applicable to all waveguides, including those with lossy conductors and hybrid modes.
  • Clear distinction between traveling waves (using characteristic impedance) and pseudo-waves (using arbitrary reference impedance).
  • Discovery of new relationships among circuit characterizing matrices.
  • Development of new ramifications of reciprocity.
  • Extensive treatment of network parameter measurement.

Conclusions:

  • The generalized theory provides a more comprehensive and rigorous framework for waveguide analysis.
  • The distinction between traveling and pseudo-waves is crucial for accurate impedance-based analysis.
  • The study offers new insights into circuit matrices and reciprocity in waveguides.