mireabulletinRussian Technological JournalRussian Technological Journal2782-32102500-316XRTU MIREA10.32362/2500-316X-2022-10-4-55-64mireabulletin-550Research ArticleМИКРО- И НАНОЭЛЕКТРОНИКА. ФИЗИКА КОНДЕНСИРОВАННОГО СОСТОЯНИЯMICRO- AND NANOELECTRONICS. CONDENSED MATTER PHYSICSЭффекты невзаимности при распространении спиновых волн в двухслойном магнонном микроволноводе на основе пленок железо-иттриевого гранатаNonreciprocal propagation of spin waves in a bilayer magnonic waveguide based on yttrium-iron garnet filmshttps://orcid.org/0000-0001-9664-6997ОдинцовС. А.OdintsovS. A.

Одинцов Сергей Александрович - аспирант, младший научный сотрудник лаборатории «Магнитные метаматериалы» СГУ им. Н.Г. Чернышевского, победитель II Всероссийского научного конкурса «Инновации в реализации приоритетных направлений развития науки и технологий».

410012, Саратов, ул. Астраханская, д. 83.

Scopus Author ID 57192873555, ResearcherlD P-2795-2017, SPIN-код РИНЦ 3874-1140

Sergey A. Odintsov - Postgraduate Student, Junior Researcher, Laboratory Management Magnetic Metamaterials, Saratov State University.

83, Astrakhanskaya ul., Saratov, 410012.

Scopus Author ID 57192873555, ResearcherID P-2795-2017, RSCI SPIN-code 3874-1140

odinoff@gmail.comhttps://orcid.org/0000-0003-0635-7687ЛоккЭ. Г.LockE. H.

Локк Эдвин Гарриевич – доктор физико-математических наук, заведующий лабораторией исследования СВЧ свойств ферромагнетиков.

141120, Московская область, Фрязино, пл. Введенского, д. 1.

Scopus Author ID 6603875313, ResearcherlD С-5325-2012, SPIN-код РИНЦ 1030-4543

Edwin H. Lock - Dr. Sci. (Phys.-Math.), Head of the Laboratory of Microwave Properties of Ferromagnetics, Fryazino Branch, Institute of Radioengineering and Electronics, Russian Academy of Science.

1, Vvedenskogo pl., Moscow oblast, Fryazino, 141120.

Scopus Author ID 6603875313, ResearcherID С-5325-2012, RSCI SPIN-code 1030-4543

edwin@ms.ire.rssi.ruhttps://orcid.org/0000-0001-7138-8282БегининЕ. Н.BegininE. N.

Бегинин Евгений Николаевич - кандидат физико-математических наук, заведующий кафедрой нелинейной физики.

410012, Саратов, ул. Астраханская, д. 83.

Scopus Author ID 24722705200, ResearcherID D-5766-2013, SPIN-код РИНЦ 2335-8660

Evgeniy N. Beginin - Cand. Sci. (Phys.-Math.), Head of the Department of Nonlinear Physics, Saratov State University.

83, Astrakhanskaya ul., Saratov, 410012.

Scopus Author ID 24722705200, ResearcherID D-5766-2013, RSCI SPIN-code 2335-8660

egbegin@gmail.comhttps://orcid.org/0000-0002-8847-2621СадовниковА. В.SadovnikovA. V.

Садовников Александр Владимирович – кандидат физико-математических наук, доцент кафедры физики открытых систем.

410012, Саратов, ул. Астраханская, д. 83.

Scopus Author ID 36683238600, ResearcherID F-6183-2012. SPIN-код РИНЦ 8124-6029

Alexander V. Sadovnikov - Cand. Sci. (Phys.-Math.), Associate Professor, Department of Open Systems Physics, Saratov State University.

83, Astrakhanskaya ul., Saratov, 410012.

Scopus Author ID 36683238600, ResearcherID F-6183-2012, RSCI SPIN-code 8124-6029

sadovnikovav@gmail.comСаратовский национальный исследовательский государственный университет им. Н.Г. ЧернышевскогоРоссияSaratov State UniversityRussian FederationФрязинский филиал Института радиотехники и электроники им. В.А. Котельникова Российской академии наукРоссияFryazino Branch, Institute of Radioengineering and Electronics, Russian Academy of SciencesRussian Federation2022300720221045564Copyright © Одинцов С.А., Локк Э.Г., Бегинин Е.Н., Садовников А.В., 20222022Одинцов С.А., Локк Э.Г., Бегинин Е.Н., Садовников А.В.Odintsov S.A., Lock E.H., Beginin E.N., Sadovnikov A.V.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.rtj-mirea.ru/jour/article/view/550Цели

Цели. Эффекты невзаимности спиновых волн могут проявляться в металлизированных пленках феррит-гранатов. В настоящее время актуальной задачей является исследование динамики спиновых волн в микро-и наноразмерных магнитных пленках. Использование многослойных диэлектрических пленок железоиттриевого граната (ЖИГ) обеспечивает проявление эффекта невзаимности и в то же время дает большее преимущество по сравнению со слоистой структурой ЖИГ/металл ввиду значительно меньших спин-волновых потерь в двуслойной пленке ЖИГ, состоящей из слоев с различными значениями намагниченности. Такие пленки могут найти применение в задачах магнонной логики для создания управляемых интерферометров типа Маха - Цендера на основе принципов магноники. Цель настоящей работы - объединение концепции невзаимного спин-волнового распространения сигнала и одновременного проявления эффектов, возникающих при распространении спиновых волн в микроволноводах, образованных пленками ЖИГ конечной ширины.

Методы

Методы. В работе используются экспериментальный метод микроволновой спектроскопии на основе векторного анализатора цепей и метод конечных разностей для численного моделирования дисперсионных характеристик спиновых волн в двуслойных магнонных микроволноводах. Также использована аналитическая модель, в рамках которой получено дисперсионное уравнение на основе магнитостатического приближения.

Результаты

Результаты. На основе измерений амплитудно-частотных и фазо-частотных характеристик показана возможность сосуществования двух частотных диапазонов для распространения спин-волнового сигнала в двуслойном магнонном микроволноводе на основе пленки ЖИГ, образованной двумя слоями с различными значениями намагниченности насыщения. Выявлены режимы невзаимного распространения спин-волнового сигнала. С помощью численной модели исследованы механизмы формирования в спектре двуслойной структуры ширинных мод спиновых волн, образующихся вследствие конечных размеров микроволновода. Оценка трансформации спектра мод также проведена при использовании аналитической модели. Экспериментальные данные хорошо согласуются с результатами предложенных численной и аналитической моделей.

Выводы

Выводы. Продемонстрирована возможность частотно-селективного распространения спиновых волн в магнонном микроволноводе, состоящем из двух слоев с различным значением величины намагниченности насыщения. Показано, что многомодовое распространение спиновых волн может осуществляться внутри двухслойной структуры в двух диапазонах частот. В то же время этот процесс сопровождается сильной невзаимностью распространений спин-волнового сигнала, что проявляется в изменении амплитудно- и фазо-частотных характеристик при изменении направления внешнего магнитного поля на противоположное. Предложенная концепция двухслойного спин-волнового волновода может лежать в основе изготовления магнонных межсоединений и магнонных интерферометров с поддержкой многополосных режимов работы.

Objectives

Objectives. Nonreciprocal spin wave effects can manifest themselves in metalized films of ferrite garnets. By studying the dynamics of spin waves in micro- and nano-scale magnetic films, the possibility of using multilayer dielectric films of yttrium iron garnet (YIG) to ensure the manifestation of the nonreciprocity effect is demonstrated. This approach offers advantages compared to the use of a layered YIG/metal structure due to significantly lower spin-wave losses in the two-layer YIG film consisting of layers with different values of magnetization. Such films can be used in logical elements to create controllable Mach-Zehnder interferometers based on magnonic principles. The purpose of this work is to reconcile the concept of nonreciprocal spin-wave propagation of a signal with the simultaneous manifestation of the effects arising from the propagation of spin waves in microwave guides formed by finite-width YIG films.

Methods

Methods. We used an experimental microwave spectroscopy method based on a vector network analyzer along with a finite difference method to perform a numerical simulation of the dispersion characteristics of spin waves in two-layer magnonic microwave guides. An analytical model was also used to obtain a dispersion equation based on the magnetostatic approximation.

Results

Results. Based on measurements of the amplitude and phase responses, the possible coexistence of two frequency ranges for the propagation of a spin-wave signal in a two-layer magnon microwave guide based on a YIG film formed by two layers with different values of saturation magnetization was demonstrated. Regimes of nonreciprocal propagation of a spin-wave signal were revealed. A numerical model was using to study the formation mechanisms of spin wave modes in the spectrum of a two-layer structure formed due to the finite dimensions of the microwave guide. An analytical model was used to evaluate the transformation of the mode spectrum. The experimental data are in good agreement with the results of the proposed numerical and analytical models.

Conclusions

Conclusions. The possibility of frequency-selective propagation of spin waves in a magnon microwaveguide consisting of two layers with different saturation magnetization values is demonstrated. Multimode propagation of spin waves can occur inside a two-layer structure in two frequency ranges. At the same time, this process is accompanied by a strong nonreciprocity of spin-wave signal propagation, which manifests itself in a change in the amplitude and phase responses when the direction of the external magnetic field is reversed. The proposed two-layer spin-wave waveguide concept can be used in the manufacture of magnon interconnects and magnon interferometers with the support of multiband regimes of operation.

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