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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="en"><front><journal-meta><journal-id journal-id-type="publisher-id">najo</journal-id><journal-title-group><journal-title xml:lang="en">Nanosystems: Physics, Chemistry, Mathematics</journal-title><trans-title-group xml:lang="ru"><trans-title>Наносистемы: физика, химия, математика</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2220-8054</issn><issn pub-type="epub">2305-7971</issn><publisher><publisher-name>Университет ИТМО</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17586/2220-8054-2026-17-1-34-38</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-1684</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="en"><subject>PHYSICS</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ФИЗИКА</subject></subj-group></article-categories><title-group><article-title>Spin wave propagation in a cross-shaped microwave guides made of yttrium iron garnet film with magnetic cylinders</article-title><trans-title-group xml:lang="ru"><trans-title>Распространение спиновых волн в крестообразном микроволноводе из пленки железо-иттриевого граната с магнитными цилиндрами</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0001-4999-2958</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Гаранин</surname><given-names>Ф. Е.</given-names></name><name name-style="western" xml:lang="en"><surname>Garanin</surname><given-names>F. E.</given-names></name></name-alternatives><bio xml:lang="en"><p>Fedor E. Garanin</p><p>Saratov</p></bio><email xlink:type="simple">garaninfedorwork@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-8847-2621</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Садовников</surname><given-names>А. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Sadovnikov</surname><given-names>A. V.</given-names></name></name-alternatives><bio xml:lang="en"><p>Alexander V. Sadovnikov</p><p>Saratov</p></bio><email xlink:type="simple">sadovnikovav@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/0000-0002-7464-1754</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Ломова</surname><given-names>М. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Lomova</surname><given-names>M. V.</given-names></name></name-alternatives><bio xml:lang="en"><p>Maria V. Lomova</p><p>Saratov</p></bio><email xlink:type="simple">lomovamv85@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>Saratov State University</institution><country>Russian Federation</country></aff><pub-date pub-type="collection"><year>2026</year></pub-date><pub-date pub-type="epub"><day>04</day><month>03</month><year>2026</year></pub-date><volume>17</volume><issue>1</issue><fpage>34</fpage><lpage>38</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Garanin F.E., Sadovnikov A.V., Lomova M.V., 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Гаранин Ф.Е., Садовников А.В., Ломова М.В.</copyright-holder><copyright-holder xml:lang="en">Garanin F.E., Sadovnikov A.V., Lomova M.V.</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://nanojournal.ifmo.ru/jour/article/view/1684">https://nanojournal.ifmo.ru/jour/article/view/1684</self-uri><abstract><p>This study explores the application of spin waves for developing functional components for information processing, transmission, and storage within the microwave and terahertz frequency regimes. The platform is based on yttrium iron garnet thin films, with spin wave manipulation achieved via two-dimensional arrays of magnetite cylinders. A numerical micromagnetic analysis of a cross-shaped waveguide was conducted by solving the Landau-Lifshitz-Gilbert equation, examining the dependence of wave properties on the orientation of the external magnetic field. The findings indicate a viable pathway toward the realization of compact and energy-efficient magnonic devices.</p></abstract><trans-abstract xml:lang="ru"><p>В данном исследовании рассматривается применение спиновых волн для разработки функциональных компонентов, обеспечивающих обработку, передачу и хранение информации в микроволновом и терагерцовом диапазонах частот. Платформа основана на тонких плёнках железо-иттриевого граната, при этом управление спиновыми волнами осуществляется с помощью двумерных массивов магнитных цилиндров из магнетита. Проведён численный микромагнитный анализ крестовидного волновода путём решения уравнения Ландау–Лифшица–Гильберта, в ходе которого изучалась зависимость характеристик волн от ориентации внешнего магнитного поля. Полученные результаты указывают на перспективность данного подхода для создания компактных и энергоэффективных магнонных устройств.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>численное микромагнитное моделирование</kwd><kwd>железо-иттриевый гранат</kwd><kwd>магнитные цилиндры</kwd><kwd>спиновая волна</kwd></kwd-group><kwd-group xml:lang="en"><kwd>numerical micromagnetic modeling</kwd><kwd>yttrium iron garnet</kwd><kwd>magnetic cylinders</kwd><kwd>spin wave</kwd></kwd-group><funding-group><funding-statement xml:lang="en">This work was supported by the Russian Science Foundation (Project No. 23-13-00373).</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Gurevich A. Magnetic Resonance in Ferrites and Antiferromagnets. Nauka Publ., Moscow, 1973, 220 p.</mixed-citation><mixed-citation xml:lang="en">Gurevich A. Magnetic Resonance in Ferrites and Antiferromagnets. Nauka Publ., Moscow, 1973, 220 p.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Stancil D.D., Prabhakar A. Spin Waves: Theory and Applications. Springer Publ., Berlin, 2009, 348 p.</mixed-citation><mixed-citation xml:lang="en">Stancil D.D., Prabhakar A. Spin Waves: Theory and Applications. Springer Publ., Berlin, 2009, 348 p.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Wang Q., Kewenig M., Schneider M., Verba R., Kohl F., Heinz B., Geilen M., Mohseni M., L¨agel B., Ciubotaru F., Adelmann C., Dubs C., Cotofana S.D., Dobrovolskiy O.V., Br¨acher T., Pirro P., Chumak A.V. A magnonic directional coupler for integrated magnonic half-adders. Nat. Electron., 2020, 3, P. 765.</mixed-citation><mixed-citation xml:lang="en">Wang Q., Kewenig M., Schneider M., Verba R., Kohl F., Heinz B., Geilen M., Mohseni M., L¨agel B., Ciubotaru F., Adelmann C., Dubs C., Cotofana S.D., Dobrovolskiy O.V., Br¨acher T., Pirro P., Chumak A.V. A magnonic directional coupler for integrated magnonic half-adders. Nat. Electron., 2020, 3, P. 765.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Garanin F.E., Khutieva A.B., Lomova M.V., Sadovnikov A.V. Control of spin wave properties in bioactive systems based on YIG metasurfaces/ ordered polymer films with magnetic microreservoirs. Fizika Tverdogo Tela, 2024, 66(9), P. 1527–1534.</mixed-citation><mixed-citation xml:lang="en">Garanin F.E., Khutieva A.B., Lomova M.V., Sadovnikov A.V. Control of spin wave properties in bioactive systems based on YIG metasurfaces/ ordered polymer films with magnetic microreservoirs. Fizika Tverdogo Tela, 2024, 66(9), P. 1527–1534.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Khutieva A.B., Sadovnikov A.V., Garanin F.E. [et al.] Spin wave propagation in YIG waveguides with magnetic microvolcanoes: Experiment and simulation. Applied Physics Letters, 2025, 126(6), P. 062402.</mixed-citation><mixed-citation xml:lang="en">Khutieva A.B., Sadovnikov A.V., Garanin F.E. [et al.] Spin wave propagation in YIG waveguides with magnetic microvolcanoes: Experiment and simulation. Applied Physics Letters, 2025, 126(6), P. 062402.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Garanin F.E., Khutieva A.B., Lomova M.V., Sadovnikov A.V. Upravlenie rasprostraneniem spinovykh voln v mikrovolnovode s dvumernym massivom magnitnykh mikrochastits razlichnoy geometrii. Izvestiya Saratovskogo universiteta. Novayaseriya Seriya: Fizika, 2025, 25(1), P. 4–11. [In Russian]</mixed-citation><mixed-citation xml:lang="en">Garanin F.E., Khutieva A.B., Lomova M.V., Sadovnikov A.V. Upravlenie rasprostraneniem spinovykh voln v mikrovolnovode s dvumernym massivom magnitnykh mikrochastits razlichnoy geometrii. Izvestiya Saratovskogo universiteta. Novayaseriya Seriya: Fizika, 2025, 25(1), P. 4–11. [In Russian]</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Vansteenkiste A., Leliaert J., Dvornik M., Helsen M., Garcia-Sanchez F.,Waeyenberge B. The design and verification of MuMax3. AIP Adv., 2014, 4, P. 107133.</mixed-citation><mixed-citation xml:lang="en">Vansteenkiste A., Leliaert J., Dvornik M., Helsen M., Garcia-Sanchez F.,Waeyenberge B. The design and verification of MuMax3. AIP Adv., 2014, 4, P. 107133.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Venkat G., Fangohr H., Prabhakar A. Absorbing boundary layers for spin wave micromagnetics. J. Magn. Magn. Mater., 2018, 450, P. 34.</mixed-citation><mixed-citation xml:lang="en">Venkat G., Fangohr H., Prabhakar A. Absorbing boundary layers for spin wave micromagnetics. J. Magn. Magn. Mater., 2018, 450, P. 34.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Dvornik M., Kuchko A.N., Kruglyak V.V. Micromagnetic method of s-parameter characterization of magnonic devices. J. Appl. Phys., 2011, 109, P. 07D350.</mixed-citation><mixed-citation xml:lang="en">Dvornik M., Kuchko A.N., Kruglyak V.V. Micromagnetic method of s-parameter characterization of magnonic devices. J. Appl. Phys., 2011, 109, P. 07D350.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Hu J., Jia F., Liu W. Application of Fast Fourier Transform. HSET, 2023, 38, P. 590.</mixed-citation><mixed-citation xml:lang="en">Hu J., Jia F., Liu W. Application of Fast Fourier Transform. HSET, 2023, 38, P. 590.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Bustamante-Torres M., Romero-Fierro D., Estrella-Nu˜nez J., Arcentales-Vera B., Chichande-Proa˜no E., Bucio E. Polymeric Composite of Magnetite Iron Oxide Nanoparticles and Their Application in Biomedicine: A Review. Polymers, 2022, 14, P. 752.</mixed-citation><mixed-citation xml:lang="en">Bustamante-Torres M., Romero-Fierro D., Estrella-Nu˜nez J., Arcentales-Vera B., Chichande-Proa˜no E., Bucio E. Polymeric Composite of Magnetite Iron Oxide Nanoparticles and Their Application in Biomedicine: A Review. Polymers, 2022, 14, P. 752.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Ganapathe L.S., Mohamed M.A., Mohamad Yunus R., Berhanuddin D. D. Magnetite (Fe3O4) Nanoparticles in Biomedical Application: From Synthesis to Surface Functionalisation. Magnetochemistry, 2020, 6, P. 68.</mixed-citation><mixed-citation xml:lang="en">Ganapathe L.S., Mohamed M.A., Mohamad Yunus R., Berhanuddin D. D. Magnetite (Fe3O4) Nanoparticles in Biomedical Application: From Synthesis to Surface Functionalisation. Magnetochemistry, 2020, 6, P. 68.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Włodarczyk A., Gorgo´n S., Rado´n A., Bajdak-Rusinek K. Magnetite Nanoparticles in Magnetic Hyperthermia and Cancer Therapies: Challenges and Perspectives. Nanomaterials, 2022, 12, P. 1807.</mixed-citation><mixed-citation xml:lang="en">Włodarczyk A., Gorgo´n S., Rado´n A., Bajdak-Rusinek K. Magnetite Nanoparticles in Magnetic Hyperthermia and Cancer Therapies: Challenges and Perspectives. Nanomaterials, 2022, 12, P. 1807.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Petrov K.D., Chubarov A.S. Magnetite Nanoparticles for Biomedical Applications. Encyclopedia, 2022, 2, P. 1811.</mixed-citation><mixed-citation xml:lang="en">Petrov K.D., Chubarov A.S. Magnetite Nanoparticles for Biomedical Applications. Encyclopedia, 2022, 2, P. 1811.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Bilgic A., Cimen A. Two Novel BODIPY-Functional Magnetite Fluorescent Nano-Sensors for Detecting of Cr(VI) Ions in Aqueous Solutions. J. Fluoresc., 2020, 30, P. 867.</mixed-citation><mixed-citation xml:lang="en">Bilgic A., Cimen A. Two Novel BODIPY-Functional Magnetite Fluorescent Nano-Sensors for Detecting of Cr(VI) Ions in Aqueous Solutions. J. Fluoresc., 2020, 30, P. 867.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Bilgic A., Cimen A. A highly sensitive and selective ON-OFF fluorescent sensor based on functionalized magnetite nanoparticles for detection of Cr(VI) metal ions in the aqueous medium. J. Mol. Liq., 2020, 312, P. 113398.</mixed-citation><mixed-citation xml:lang="en">Bilgic A., Cimen A. A highly sensitive and selective ON-OFF fluorescent sensor based on functionalized magnetite nanoparticles for detection of Cr(VI) metal ions in the aqueous medium. J. Mol. Liq., 2020, 312, P. 113398.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Mbeh D.A., Franc¸a R., Merhi Y., Zhang X.F., Veres T., Sacher E., Yahia L. In vitro biocompatibility assessment of functionalized magnetite nanoparticles: Biological and cytotoxicological effects. J. Biomed. Mater. Res. Part A, 2012, 100A, P. 1637.</mixed-citation><mixed-citation xml:lang="en">Mbeh D.A., Franc¸a R., Merhi Y., Zhang X.F., Veres T., Sacher E., Yahia L. In vitro biocompatibility assessment of functionalized magnetite nanoparticles: Biological and cytotoxicological effects. J. Biomed. Mater. Res. Part A, 2012, 100A, P. 1637.</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>
