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<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">radioelectronics</journal-id><journal-title-group><journal-title xml:lang="ru">Известия высших учебных заведений России. Радиоэлектроника</journal-title><trans-title-group xml:lang="en"><trans-title>Journal of the Russian Universities. Radioelectronics</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1993-8985</issn><issn pub-type="epub">2658-4794</issn><publisher><publisher-name>Saint Petersburg Electrotechnical University</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.32603/1993-8985-2019-22-6-55-63</article-id><article-id custom-type="elpub" pub-id-type="custom">radioelectronics-391</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>КВАНТОВАЯ, ТВЕРДОТЕЛЬНАЯ, ПЛАЗМЕННАЯ И ВАКУУМНАЯ ЭЛЕКТРОНИКА</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>QUANTUM, SOLID-STATE, PLASMA AND VACUUM ELECTRONICS</subject></subj-group></article-categories><title-group><article-title>Dispersion Characteristics of Spin-Electromagnetic Waves in Planar Multiferroic Structures with Coplanar Transmission Line</article-title><trans-title-group xml:lang="en"><trans-title>Dispersion Characteristics of Spin-Electromagnetic Waves in Planar Multiferroic Structures with Coplanar Transmission Line</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-6372-3220</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Nikitin</surname><given-names>Aleksei А.</given-names></name><name name-style="western" xml:lang="en"><surname>Nikitin</surname><given-names>Aleksei A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Master Degree on electronic and nanoelectronic and Master of Science (Technology): Computational Engineering (2015), Assistant Professor (2019) of the Department of Physical Electronics and Technology.</p><p>5 Professor Popov Str., Saint Petersburg 197376</p></bio><bio xml:lang="en"><p>Master Degree on electronic and nanoelectronic and Master of Science (Technology): Computational Engineering (2015), Assistant Professor (2019) of the Department of Physical Electronics and Technology.</p><p>5 Professor Popov Str., Saint Petersburg 197376</p></bio><email xlink:type="simple">aleksei.a.nikitin@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-7382-9210</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Ustinov</surname><given-names>Alexey B.</given-names></name><name name-style="western" xml:lang="en"><surname>Ustinov</surname><given-names>A. B.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Dr. Sci. (Phys.-Math.) (2012), Associate Professor (2010) of the Department of Physical Electronics and Technologies.</p><p>5 Professor Popov Str., Saint Petersburg 197376</p></bio><bio xml:lang="en"><p>Dr. Sci. (Phys.-Math.) (2012), Associate Professor (2010) of the Department of Physical Electronics and Technologies.</p><p>5 Professor Popov Str., Saint Petersburg 197376</p></bio><email xlink:type="simple">Ustinov_rus@yahoo.com</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-4226-4341</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Nikitin</surname><given-names>Andrey А.</given-names></name><name name-style="western" xml:lang="en"><surname>Nikitin</surname><given-names>Andrey A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Cand. Sci. (Phys.-Math.) (2011), Associate Professor (2015) of the Department of Physical Electronics and Technology.</p><p>5 Professor Popov Str., Saint Petersburg 197376</p></bio><bio xml:lang="en"><p>Cand. Sci. (Phys.-Math.) (2011), Associate Professor (2015) of the Department of Physical Electronics and Technology.</p><p>5 Professor Popov Str., Saint Petersburg 197376</p></bio><email xlink:type="simple">and.a.nikitin@gmail.com</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-1596-2849</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Lähderanta</surname><given-names>Erkki</given-names></name><name name-style="western" xml:lang="en"><surname>Lähderanta</surname><given-names>Erkki</given-names></name></name-alternatives><bio xml:lang="ru"><p>Doctor of Philosophy (Solid State Physics) (1993), Professor in Physics (2004).</p><p>34 Yliopistonkatu, Lappeenranta, 53850</p></bio><bio xml:lang="en"><p>Doctor of Philosophy (Solid State Physics) (1993), Professor in Physics (2004).</p><p>34 Yliopistonkatu, Lappeenranta, 53850</p></bio><email xlink:type="simple">erkki.lahderanta@lut.fi</email><xref ref-type="aff" rid="aff-3"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-4968-1225</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Kalinikos</surname><given-names>Boris А.</given-names></name><name name-style="western" xml:lang="en"><surname>Kalinikos</surname><given-names>Boris A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Dr. Sci. (Phys.-Math.) (1985), Distinguished Professor (2019).</p></bio><bio xml:lang="en"><p>Dr. Sci. (Phys.-Math.) (1985), Distinguished Professor (2019).</p></bio><email xlink:type="simple">boris.kalinikos@gmail.com</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Saint Petersburg Electrotechnical University; LUT-University</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Saint Petersburg Electrotechnical University; LUT-University</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Saint Petersburg Electrotechnical University</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Saint Petersburg Electrotechnical University</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-3"><aff xml:lang="ru"><institution>LUT-University</institution><country>Финляндия</country></aff><aff xml:lang="en"><institution>LUT-University</institution><country>Finland</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2019</year></pub-date><pub-date pub-type="epub"><day>07</day><month>01</month><year>2020</year></pub-date><volume>22</volume><issue>6</issue><fpage>55</fpage><lpage>63</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Nikitin A.А., Ustinov A.B., Nikitin A.А., Lähderanta E., Kalinikos B.А., 2020</copyright-statement><copyright-year>2020</copyright-year><copyright-holder xml:lang="ru">Nikitin A.А., Ustinov A.B., Nikitin A.А., Lähderanta E., Kalinikos B.А.</copyright-holder><copyright-holder xml:lang="en">Nikitin A.A., Ustinov A.B., Nikitin A.A., Lähderanta E., Kalinikos B.A.</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://re.eltech.ru/jour/article/view/391">https://re.eltech.ru/jour/article/view/391</self-uri><abstract><sec><title>Introduction</title><p>Introduction. The distinctive feature of a coplanar transmission line with thin ferrite and ferroelectric films is the absence of undesirable irregularities in dispersion for relatively low frequencies when the wavelength approaches the thickness of ferroelectric layer, in contrast to the open ferrite-ferroelectric wave-guiding structure without metallization.</p></sec><sec><title>Aim</title><p>Aim. The purpose of this paper is twofold: (i) to develop a theory of the wave spectra in the multiferroic structures based on the coplanar lines; (ii) using this theory to find ways to enhance the electric tuning range.</p></sec><sec><title>Materials and methods</title><p>Materials and methods. The dispersion relation for spin-electromagnetic waves was derived through analytical solution of the full set of the Maxwell's equations utilizing a method of approximate boundary conditions.</p></sec><sec><title>Results</title><p>Results. A theory of spin-electromagnetic wave spectrum has been developed for the thin-film ferrite-ferroelectric structure based on a coplanar transmission line. According to this theory, dispersion characteristics of the spin-electromagnetic waves were described and analyzed for different parameters of the structure. The obtained results show that the investigated structure demonstrates a dual electric and magnetic field tunability of wave spectra. Its efficiency increases with an increase in the thicknesses of the ferrite and ferroelectric films and with a decrease in the width of the central metal strip.</p></sec><sec><title>Conclusion</title><p>Conclusion. The distinctive features of the proposed coplanar waveguides are the thin-film planar topology and dual tunability of the wave spectra. All these advantages make the proposed structures perspective for development of new microwave devices.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Introduction</title><p>Introduction. The distinctive feature of a coplanar transmission line with thin ferrite and ferroelectric films is the absence of undesirable irregularities in dispersion for relatively low frequencies when the wavelength approaches the thickness of ferroelectric layer, in contrast to the open ferrite-ferroelectric wave-guiding structure without metallization.</p></sec><sec><title>Aim</title><p>Aim. The purpose of this paper is twofold: (i) to develop a theory of the wave spectra in the multiferroic structures based on the coplanar lines; (ii) using this theory to find ways to enhance the electric tuning range.</p></sec><sec><title>Materials and methods</title><p>Materials and methods. The dispersion relation for spin-electromagnetic waves was derived through analytical solution of the full set of the Maxwell's equations utilizing a method of approximate boundary conditions.</p></sec><sec><title>Results</title><p>Results. A theory of spin-electromagnetic wave spectrum has been developed for the thin-film ferrite-ferroelectric structure based on a coplanar transmission line. According to this theory, dispersion characteristics of the spin-electromagnetic waves were described and analyzed for different parameters of the structure. The obtained results show that the investigated structure demonstrates a dual electric and magnetic field tunability of wave spectra. Its efficiency increases with an increase in the thicknesses of the ferrite and ferroelectric films and with a decrease in the width of the central metal strip.</p></sec><sec><title>Conclusion</title><p>Conclusion. The distinctive features of the proposed coplanar waveguides are the thin-film planar topology and dual tunability of the wave spectra. All these advantages make the proposed structures perspective for development of new microwave devices.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>Coplanar waveguide</kwd><kwd>ferrites</kwd><kwd>ferroelectrics</kwd><kwd>microwaves</kwd><kwd>spin-electromagnetic waves</kwd></kwd-group><kwd-group xml:lang="en"><kwd>Coplanar waveguide</kwd><kwd>ferrites</kwd><kwd>ferroelectrics</kwd><kwd>microwaves</kwd><kwd>spin-electromagnetic waves</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">Setter N., Damjanovic D., Eng L., Fox G., Gevorgian S. Ferroelectric Thin Films: Review of Materials, Properties, and Applications. 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