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Determination of the Complex Permittivity of Materials by a Modified Resonator Method Based on the Theory of Small Perturbations Using a Resonator of the Reflective Type

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Abstract—

A modified resonator method for determining the complex permittivity of materials based on the theory of small perturbations where a resonator of a reflective type is used as a resonator has been considered. It has been shown that the resonator’s openness to the surrounding space in the form of holes for placing the sample and exciting vibrations leads to the fact that the minimum measurement errors of permittivity ε are achieved at optimal (but not minimum) sample sizes. The numerical modeling for the materials with a real part of ε from 4 to 30 and the dielectric tangent being from 5 × 10–4 to 2 × 10–2 has been performed and the dependences of the optimal transverse dimensions of square-section samples have been obtained when measuring the permittivity. There is a good coincidence of the results obtained theoretically and experimentally.

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Funding

The work was supported at the expense of budget financing within the state task of the Kotelnikov Institute of Radioengineering and Electronics, Russian Academy of Sciences.

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Authors and Affiliations

  1. Kotelnikov Institute of Radioengineering and Electronics, Russian Academy of Sciences, 141190, Fryazino, Moscow oblast, Russia

    M. P. Parkhomenko, D. S. Kalenov, I. S. Eremin, N. A. Fedoseev & V. M. Kolesnikova

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  1. M. P. Parkhomenko
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  2. D. S. Kalenov
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  3. I. S. Eremin
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  4. N. A. Fedoseev
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  5. V. M. Kolesnikova
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Correspondence to M. P. Parkhomenko.

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The authors state that they have no conflicts of interest.

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Translated by N. Petrov

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Parkhomenko, M.P., Kalenov, D.S., Eremin, I.S. et al. Determination of the Complex Permittivity of Materials by a Modified Resonator Method Based on the Theory of Small Perturbations Using a Resonator of the Reflective Type. J. Commun. Technol. Electron. 67, 1127–1133 (2022). https://doi.org/10.1134/S106422692209011X

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  • DOI: https://doi.org/10.1134/S106422692209011X

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