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Related Concept Videos

Susceptibility, Permittivity and Dielectric Constant01:26

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When placed in an external electric field, a dielectric material gets polarized. The charge density in the dielectric material is given by the sum of the bound and free charge densities, while the total charge density can also be written in terms of the total electric field. The bound charge density can be measured in terms of polarization, leading to the relationship between electric displacement and polarization.
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Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials
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An Overmoded-Waveguide-Based Permittivity Measurement Method with High Accuracy and Ultra-Broadband over 8-110 GHz.

Weijie Wang1, Yingjian Cao2, Tieyang Wang2,3

  • 1School of Physical Science and Technology, Southwest Jiaotong University, Chengdu 611756, China.

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|September 27, 2025
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Summary

This study introduces an overmoded waveguide kit for precise material complex permittivity measurement from 8-110 GHz. It significantly reduces air gap errors common in standard waveguide methods, improving accuracy for millimeter-wave applications.

Keywords:
broadbanddielectric materialmicrowavepermittivity measurementsub-terahertz

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Area of Science:

  • Electrical Engineering
  • Materials Science
  • Electromagnetics

Background:

  • Conventional standard waveguide method (SWM) suffers significant errors due to air gaps, particularly at millimeter-wave frequencies.
  • Broadband measurements using SWM require multiple sample setups, increasing complexity and potential for error.
  • Accurate characterization of material complex permittivity is crucial for advanced electronic and vacuum devices.

Purpose of the Study:

  • To propose and design an overmoded-waveguide-based kit for accurate material complex permittivity measurement across a wide frequency range (8-110 GHz).
  • To overcome the limitations of SWM, specifically addressing air gap errors and the need for multiple samples in broadband measurements.
  • To validate the proposed method and apply it to characterize materials like BeO-TiO2 ceramics for device applications.

Main Methods:

  • Design of an overmoded-waveguide sample fixture (22.86 mm × 10.16 mm).
  • Integration of seven pairs of standard-overmoded waveguide transition structures for multi-band operation.
  • Utilization of thru-reflect-line (TRL) calibration kits for enhanced measurement accuracy.
  • Quantitative investigation of air gap error sources in millimeter-wave measurements.

Main Results:

  • The proposed kit significantly reduces measurement errors caused by air gaps, decreasing them from over 68% to below 8% compared to SWM.
  • The method was successfully verified using a polytetrafluoroethylene (PTFE) sample.
  • Accurate complex permittivity data for BeO-TiO2 ceramic were obtained, valuable for vacuum device applications.

Conclusions:

  • The developed overmoded waveguide kit offers a superior alternative to SWM for material complex permittivity measurements, especially in millimeter-wave bands.
  • The reduction in air gap errors and the single-sample broadband capability enhance measurement reliability and efficiency.
  • The obtained dielectric data for BeO-TiO2 ceramics are essential for optimizing their use in vacuum devices and for developing dielectric relaxation models.