<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">bsuir</journal-id><journal-title-group><journal-title xml:lang="ru">Доклады БГУИР</journal-title><trans-title-group xml:lang="en"><trans-title>Doklady BGUIR</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1729-7648</issn><issn pub-type="epub">2708-0382</issn><publisher><publisher-name>БГУИР</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.35596/1729-7648-2020-18-6-75-80</article-id><article-id custom-type="elpub" pub-id-type="custom">bsuir-2788</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ЭЛЕКТРОНИКА, РАДИОФИЗИКА, РАДИОТЕХНИКА, ИНФОРМАТИКА</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>ELECTRONICS, RADIOPHYSICS, RADIOENGINEERING, INFORMATICS</subject></subj-group></article-categories><title-group><article-title>Simulation of electromagnetic field distribution in the measuring cell for determining the dielectric permittivity of materials at microwave frequencies</article-title><trans-title-group xml:lang="en"><trans-title>Simulation of electromagnetic field distribution in the measuring cell for determining the dielectric permittivity of materials at microwave frequencies</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Pevneva</surname><given-names>N. A.</given-names></name><name name-style="western" xml:lang="en"><surname>Pevneva</surname><given-names>N. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Pevneva Natalia Alekseevna, Researcher of the Center 1.9 of R&amp;D Department</p><p>220013, Republic of Belarus, Minsk, P. Brovka str., 6</p><p>tel. +375-17-293-20-92</p></bio><bio xml:lang="en"><p>Pevneva Natalia Alekseevna, Researcher of the Center 1.9 of R&amp;D Department</p><p>220013, Republic of Belarus, Minsk, P. Brovka str., 6</p><p>tel. +375-17-293-20-92</p></bio><email xlink:type="simple">saphir-n@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Kopshai</surname><given-names>A. A.</given-names></name><name name-style="western" xml:lang="en"><surname>Kopshai</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Researcher of the Center 1.9 of R&amp;D Department</p><p>Minsk</p></bio><bio xml:lang="en"><p>Researcher of the Center 1.9 of R&amp;D Department</p><p>Minsk</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Gurskii</surname><given-names>A. L.</given-names></name><name name-style="western" xml:lang="en"><surname>Gurskii</surname><given-names>A. L.</given-names></name></name-alternatives><bio xml:lang="ru"><p>D.Sci., Professor of the Information Protection Department</p><p>Minsk</p></bio><bio xml:lang="en"><p>D.Sci., Professor of the Information Protection Department</p><p>Minsk</p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Belarusian State University of Informatics and Radioelectronics</institution></aff><aff xml:lang="en"><institution>Belarusian State University of Informatics and Radioelectronics</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2020</year></pub-date><pub-date pub-type="epub"><day>01</day><month>10</month><year>2020</year></pub-date><volume>18</volume><issue>6</issue><fpage>75</fpage><lpage>80</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Pevneva N.A., Kopshai A.A., Gurskii A.L., 2020</copyright-statement><copyright-year>2020</copyright-year><copyright-holder xml:lang="ru">Pevneva N.A., Kopshai A.A., Gurskii A.L.</copyright-holder><copyright-holder xml:lang="en">Pevneva N.A., Kopshai A.A., Gurskii A.L.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://doklady.bsuir.by/jour/article/view/2788">https://doklady.bsuir.by/jour/article/view/2788</self-uri><abstract><p>To determine the dielectric permittivity of materials in a wide frequency range with the automation of measurements and the necessary accuracy, measuring cells have been created to ensure the simplicity of the design of the waveguide path. In order to obtain information about the suitability of measuring cells based on irregular SHF waveguides for estimation of dielectric parameters of materials, we simulated the structure of electromagnetic field in the system consisting of two irregular waveguides and waveguide chamber placed between them using a three-dimensional electrodynamic simulation in Ansoft HFSS package environment. The distribution of the electric field was simulated when an empty polyethylene tube, a rod of fluoroplastic and a rod of textolite are placed in the measuring cell. It was demonstrated that high order modes fade out in irregular waveguide and do not affect the precision of obtained results, and significant edge effects were not detected. It allows one to utilize measuring cells based on irregular waveguides together with a scalar or vector network analyzer and using the partial filling of the waveguide method or the modified Nicholson – Ross – Weir method for measurements of dielectric permittivity  of materials. The results of modeling the dependence of the amplitude and phase of the reflection coefficient of the textolite and fluoroplastic on the frequency in Ansoft HFSS environment are given. The simulation results are compared with the results obtained experimentally. The frequency dependencies of  were obtained experimentally for test materials – textolite and fluoroplastic – in the frequency range of 25,95–37,50 GHz. The experimental data are in satisfactory agreement with the results of theoretical calculations and do not go beyond the boundaries specified by the measurement uncertainty.</p></abstract><trans-abstract xml:lang="en"><p>To determine the dielectric permittivity of materials in a wide frequency range with the automation of measurements and the necessary accuracy, measuring cells have been created to ensure the simplicity of the design of the waveguide path. In order to obtain information about the suitability of measuring cells based on irregular SHF waveguides for estimation of dielectric parameters of materials, we simulated the structure of electromagnetic field in the system consisting of two irregular waveguides and waveguide chamber placed between them using a three-dimensional electrodynamic simulation in Ansoft HFSS package environment. The distribution of the electric field was simulated when an empty polyethylene tube, a rod of fluoroplastic and a rod of textolite are placed in the measuring cell. It was demonstrated that high order modes fade out in irregular waveguide and do not affect the precision of obtained results, and significant edge effects were not detected. It allows one to utilize measuring cells based on irregular waveguides together with a scalar or vector network analyzer and using the partial filling of the waveguide method or the modified Nicholson – Ross – Weir method for measurements of dielectric permittivity  of materials. The results of modeling the dependence of the amplitude and phase of the reflection coefficient of the textolite and fluoroplastic on the frequency in Ansoft HFSS environment are given. The simulation results are compared with the results obtained experimentally. The frequency dependencies of  were obtained experimentally for test materials – textolite and fluoroplastic – in the frequency range of 25,95–37,50 GHz. The experimental data are in satisfactory agreement with the results of theoretical calculations and do not go beyond the boundaries specified by the measurement uncertainty.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>electromagnetic field distribution</kwd><kwd>measuring cell</kwd><kwd>dielectric permittivity</kwd><kwd>reflection coefficient</kwd></kwd-group><kwd-group xml:lang="en"><kwd>electromagnetic field distribution</kwd><kwd>measuring cell</kwd><kwd>dielectric permittivity</kwd><kwd>reflection coefficient</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Brandt A.A. [Investigation of dielectrics at microwave frequencies]. Moscow: FIZMATLIT; 1963. (In Russ.)</mixed-citation><mixed-citation xml:lang="en">Brandt A.A. [Investigation of dielectrics at microwave frequencies]. Moscow: FIZMATLIT; 1963. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Radin Yu.P. [On a method for measuring the dielectric constant in the centimeter range]. Izvestia VUZov. Radiofizika. 1958;1(5-6):177-179. (In Russ.)</mixed-citation><mixed-citation xml:lang="en">Radin Yu.P. [On a method for measuring the dielectric constant in the centimeter range]. Izvestia VUZov. Radiofizika. 1958;1(5-6):177-179. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Luukkonen O., Maslovski S.I., Tretyakov S.A. A stepwise Nicolson-Ross-Weir-based material parameter extraction method. IEEE Antennas and Wireless Propagation Letters. 2011;10:1295-1298.</mixed-citation><mixed-citation xml:lang="en">Luukkonen O., Maslovski S.I., Tretyakov S.A. A stepwise Nicolson-Ross-Weir-based material parameter extraction method. IEEE Antennas and Wireless Propagation Letters. 2011;10:1295-1298.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Pevneva N.A., GusinskyA. V., GurskiiA. L. [Microwave method for determining the dielectric properties of liquids]. Doklady BGUIR = Doklady BGUIR. 2012;5(67):46-50. DOI: 10.35596 (In Russ.)</mixed-citation><mixed-citation xml:lang="en">Pevneva N.A., GusinskyA. V., GurskiiA. L. [Microwave method for determining the dielectric properties of liquids]. Doklady BGUIR = Doklady BGUIR. 2012;5(67):46-50. DOI: 10.35596 (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Pevneva N. A., Gurskii A. L., Kostrikin A. M. [Using the method of a cylindrical rod and a vector network analyzer to determine the dielectric constant of materials in the microwave range]. Doklady BGUIR = Doklady BGUIR. 2019;1(119):56-61. DOI: 10.35596 (In Russ.)</mixed-citation><mixed-citation xml:lang="en">Pevneva N. A., Gurskii A. L., Kostrikin A. M. [Using the method of a cylindrical rod and a vector network analyzer to determine the dielectric constant of materials in the microwave range]. Doklady BGUIR = Doklady BGUIR. 2019;1(119):56-61. DOI: 10.35596 (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Pevneva N.A., Gurskii A.L., Kostrikin A.M. [The free space method using a vector network analyzer for determining the permittivity of materials at microwave frequencies]. Doklady BGUIR = Doklady BGUIR. 2019;4(122):32-39. DOI: 10.35596 (In Russ.)</mixed-citation><mixed-citation xml:lang="en">Pevneva N.A., Gurskii A.L., Kostrikin A.M. [The free space method using a vector network analyzer for determining the permittivity of materials at microwave frequencies]. Doklady BGUIR = Doklady BGUIR. 2019;4(122):32-39. DOI: 10.35596 (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Bankov S.E., Kurushin A.A. [Calculation of antennas and microwave structures using HFSS Ansoft]. Moscow: ZAO “NPP RODNIK”; 2009. (In Russ.)</mixed-citation><mixed-citation xml:lang="en">Bankov S.E., Kurushin A.A. [Calculation of antennas and microwave structures using HFSS Ansoft]. Moscow: ZAO “NPP RODNIK”; 2009. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Pevneva N.A., Gurskii A.L., Kostrikin A.M. [Estimation of the uncertainty of measurements of the dielectric permittivity of materials by the method of a cylindrical rod on a microwave]. Metrologia i priborostroenie. 2019;2:30-34. (In Russ.)</mixed-citation><mixed-citation xml:lang="en">Pevneva N.A., Gurskii A.L., Kostrikin A.M. [Estimation of the uncertainty of measurements of the dielectric permittivity of materials by the method of a cylindrical rod on a microwave]. Metrologia i priborostroenie. 2019;2:30-34. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Frolov O.P. [Antennas and feeder paths for radio relay communication lines]. Moscow: Radio i svyaz'; 2001. (In Russ.)</mixed-citation><mixed-citation xml:lang="en">Frolov O.P. [Antennas and feeder paths for radio relay communication lines]. Moscow: Radio i svyaz'; 2001. (In Russ.)</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
