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Optimization Techniques for Permittivity and Permeability Determination.

Paul D Domich1, James Baker-Jarvis1, Richard G Geyer1

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

Journal of Research of the National Institute of Standards and Technology
|February 11, 2017
PubMed
Summary
This summary is machine-generated.

This study presents an advanced regression model for accurately determining complex permittivity and permeability in transmission lines. The method enhances traditional techniques for both magnetic and non-magnetic materials.

Keywords:
higher order modesmicrowaveorthogonal distance regressionpermeabilitypermittivityprimary modescattering matrix

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Area of Science:

  • Electromagnetics and Materials Science
  • Electrical Engineering and Applied Physics

Background:

  • Traditional methods for determining complex permittivity and permeability using scattering parameters can be limited.
  • Accurate material characterization is crucial for transmission line design and performance analysis.

Purpose of the Study:

  • To develop and validate an optimized mathematical regression model for precise determination of complex permittivity and permeability.
  • To extend the model's applicability to include higher-order modes and various material types.

Main Methods:

  • Extended a traditional theoretical model using scattering parameters into a mathematical regression model.
  • Employed widely accepted numerical techniques for model solution.
  • Incorporated corrections for independent variable data such as angular frequency and sample position.

Main Results:

  • Achieved accurate primary mode results for non-magnetic and magnetic materials, including those with high dielectric constants.
  • The general model successfully determined parameters for the spectral functional form of complex permittivity and permeability.
  • Demonstrated reliable determination for both low and high permittivity materials.

Conclusions:

  • The developed regression model offers a robust and accurate method for characterizing complex permittivity and permeability in transmission lines.
  • The model's ability to handle higher-order modes and correct input variables enhances its practical applicability.
  • This technique provides reliable material property determination across a wide range of permittivity values.