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Method Development for Contactless Resonant Cavity Dielectric Spectroscopic Studies of Cellulosic Paper
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A Free-Space Measurement Method for the Low-Loss Dielectric Characterization Without Prior Need for Sample Thickness

Sung Kim1, David Novotny1, Joshua A Gordon1

  • 1Communications Technology Laboratory, Radio Frequency Technology Division, National Institute of Standards and Technology, Boulder, CO 80305 USA.

IEEE Transactions on Antennas and Propagation
|October 23, 2024
PubMed
Summary

This study introduces a novel free-space measurement technique for characterizing low-loss dielectric materials at millimeter-wave frequencies without needing prior sample thickness knowledge. The method accurately determines complex permittivity, crucial for material science applications.

Keywords:
Bistatic scatteringdielectric permittivityfree-space measurement methodfringing spectralow-loss materialsmillimeter-wave (MMW) measurementsscattering parameter envelopes

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Area of Science:

  • Electromagnetics
  • Materials Science
  • Metamaterials

Background:

  • Accurate characterization of dielectric material properties is essential for advanced electronic and photonic applications.
  • Existing methods for measuring complex permittivity often require precise knowledge of sample thickness, limiting their applicability.
  • Millimeter-wave frequencies present unique challenges for material characterization due to wavelength and interaction complexities.

Purpose of the Study:

  • To develop and validate a free-space measurement method for determining the complex permittivity of low-loss dielectric materials at millimeter-wave frequencies.
  • To eliminate the need for *a priori* knowledge of sample thickness in dielectric material characterization.
  • To provide a comprehensive uncertainty analysis for the extracted complex permittivity values.

Main Methods:

  • Utilizes maximal and minimal envelopes of transmission scattering parameters to determine the real part of permittivity (ε r ').
  • Estimates sample thickness based on the determined real permittivity and frequencies of scattering parameter peaks.
  • Calculates the imaginary part of permittivity (ε r ″) using the derived thickness and scattering data.

Main Results:

  • Successfully characterized four different low-loss dielectric materials (polystyrene, polytetrafluoroethylene, polymethylpentene) in the 220-325 GHz range.
  • Demonstrated the method's effectiveness at various incident angles (0°, 10°, 20°, 30°).
  • Provided an explicit uncertainty analysis and reported the uncertainties associated with the extracted complex permittivity.

Conclusions:

  • The presented free-space measurement method offers a robust and accurate approach for characterizing low-loss dielectric materials at millimeter-wave frequencies.
  • The technique's independence from sample thickness simplifies experimental procedures and expands its practical utility.
  • The detailed uncertainty analysis enhances the reliability and credibility of the obtained material property data.