ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)


For citation:

Odintsov S. A., Sadovnikov A. V. Nonlinear spin-wave propagation in the nonidentical magnonic structures. Izvestiya VUZ. Applied Nonlinear Dynamics, 2018, vol. 26, iss. 6, pp. 59-67. DOI: 10.18500/0869-6632-2018-26-6–59-67

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Full text PDF(Ru):
(downloads: 611)
Language: 
Russian
Article type: 
Article
UDC: 
537.613; 530.182; 622.4

Nonlinear spin-wave propagation in the nonidentical magnonic structures

Autors: 
Odintsov Sergej Aleksandrovich, Saratov State University
Sadovnikov Aleksandr Vladimirovich, Saratov State University
Abstract: 

Topic. Investigation of nonlinear propagation modes of a spin-wave signal in lateral non-identical structures, taking into account the multi-mode spin waves. Aim. Consideration of the effect of intermode coupling on the intensity distribution of surface magnetostatic waves propagating in lateral waveguides of various widths. Identify the possibility of changing the coupling coefficient by varying the power of the input signal. Methods. The study of nonlinear propagation modes of spin waves was carried out by numerical integration of a system of two coupled Ginzburg–Landau equations. The calculation of the values of the coupling coefficient of the spin waves between the lateral waveguides and the proportionality coefficient was carried out using the finite element method. Using micromagnetic simulation, the Landau–Livshits–Hilbert equation was solved using the finite difference method to obtain maps of the distribution of the dynamic magnetization of spin waves. Results. It is shown that the mode of operation of a nonlinear directional coupler based on the lateral system of nonidentical microwave channels is determined by the geometrical parameters of the structure, namely, the ratio of the widths of the microwave channels. Inhomogeneous distribution of the internal magnetic field and a change in the width of one of the microwave lead to a change in the threshold power of the microwave signal, at which the effects of the variation of the coupling length of spin waves and a nonlinear switching signal are observed. Discussion. The dependence of the coupling length of the spin waves on the input signal power allows the directional coupler of the information signal to operate in a nonlinear mode. Due to the possibility of tuning the frequency band by changing the magnitude of the magnetic field, it is possible to fabricate magnonic based microwave signal processing devices, such as nonlinear demultiplexers, power splitters and directional microwave signal couplers.    

Reference: 
  1. Sadovnikov A.V., Beginin E.N., Sheshukova S.E, Romanenko D.V., Sharaevskii Yu.P., Nikitov S.A. Directional multimode coupler for planar magnonics: Side-coupled magnetic stripes. Appl. Phys. Lett., 2015, vol. 107, 202405.
  2. Sadovnikov A.V., Grachev A.A., Gubanov V.A., Odintsov S.A., Martyshkin A.A., Sheshukova S.E., Sharaevskii Yu.P., Nikitov S.A. Spin-wave intermodal coupling in the interconnection of magnonic units. Appl. Phys. Lett., 2018, vol. 112, 142402.
  3. Sander D., Valenzuela S.O., Makarov D., Marrows C.H., Fullerton E.E., Fisher P., McCord J., Vavassori P., Smangin S., Pirro P., Hillebrands B., Kent A.D., Jungwirth T., Gutfleisch O., Kim C.G., Berger A. The 2017 Magnetism Roadmap. J. Phys. D: Appl. Phys., 2017, vol. 50, 363001.
  4. Stamps R., Breitkreutz S., Akerman J., Chumak A.V., Otani Y., Bauer G., Thiele J.U., Bowen M., Majetich S.A., Klaui M., Prejbeanu I.L., Dieny B., Dempsey N., Hillebrands B. The 2014 Magnetism Roadmap. J. Phys. D: Appl. Phys., 2014, vol. 47, 333001.
  5. Demidov V.E., Urazhdin S., Zholud A., Sadovnikov A.V., Slavin A.N., Demokritov S.O. Spincurrent nano-oscillator based on nonlocal spin injection. Sci. Rep., 2015, vol. 5, 8578.
  6. ITRS, http://www.itrs2.net/itrs-reports.html for «International Technology Roadmap for Semiconductors. 2015 edition» (accessed 1 April 2017).
  7. Demokritov S. O., Hillebrands B., Slavin A. N. Brillouin light scattering studies of confined spin waves: Linear and nonlinear confinement. Phys. Rep., 2001, vol. 348, 441.
  8. Demidov V.E., Urazhdin S., Zholud A., Sadovnikov A.V., Slavin A.N., Demokritov S.O. Spincurrent nano-oscillator based on nonlocal spin injection. Sci. Rep., 2015, vol. 5, 8578.
  9. Demidov V.E., Urazhdin S., Zholud A., SadovnikovA.V., Demokritov S.O. Nanoconstrictionbased spin-Hall nano-oscillator. Appl. Phys. Lett., 2014, vol. 105, 172410.
  10. Demidov V.E., Urazhdin S., de Loubens G., Klein O., Cros V., Anane A., Demokritov S.O. Magnetization oscillations and waves driven by pure spin currents. Phys. Rep., 2017, vol. 673, pp. 1–31.
  11. Collet M., Gladii O., Evelt M., Bessonov V., Soumah L., Bortolotti P., Demokritov S.O., Henry Y., Cros V., Bailleul M., Demidov V.E., Anane A. Spin-wave propagation in ultra-thin YIG based waveguide. Appl. Phys. Lett., 2017, vol. 110, 092408.
  12. Gurevich A.G., Melkov G.A. Magnetization Oscillations and Waves. CRC Press, London, 1996.
  13. Stancil D.D., Prabhakar A. Spin Waves: Theory and Applications. Springer, 2009.
  14. Sodha M. S., Srivastava N.C. Microwave Propagation in Ferromagnetics. Springer US, New York, 1981.
  15. Landau L., Lifshitz E. On the theory of the dispersion of magnetic permeability in ferromagnetic bodies. Phys. Z. Sowjetunion, 1935, vol. 8, p. 153.
  16. Ginzburg V.L., Landau L.D. On the theory of superconductivity. Zh. Eksp. Teor. Fiz., 1950, vol. 20, pp. 1064–1082.
  17. Vansteenkiste A., Leliaert J., Dvornik M., Helsen M., Garcia-Sanchez F., Van Waeyenberge B. The design and verification of mumax3. AIP Advances, 2014, vol. 4, 107133.
  18. O’Keeffe T.W., Patterson R.W. Magnetostatic surface-wave propagation in finite samples. J. Appl. Phys., 1978, vol. 49, 4886.
  19. Bajpai S.N. Excitation of magnetostatic surface waves: Effect of finite sample width. J. Appl. Phys., 1985, vol. 58, 910.
  20. Demidov V. E., Hansen U.-F., Dzyapko O., Koulev N., Demokritov S. O., Slavin A. N. Formation of longitudinal patterns and dimensionality crossover of nonlinear spin waves in ferromagnetic stripes. Phys. Rev. B, 2006, vol. 74, 092407.
  21. Sadovnikov A.V., Odintsov S.A., Beginin E.N., Grachev A.A., Gubanov V.A., Sheshukova S.E., Sharaevskii Yu.P., Nikitov S.A. Nonlinear spin wave effects in the system of lateral magnonic structures. JETP Letters, 2018, vol. 107:1, pp. 25–29.
  22. Damon R.W., Eshbach J.R. Magnetostatic modes of a ferromagnet slab. J. Phys. Chem. Solids, 1961, vol. 19, p. 308. 
Received: 
20.08.2018
Accepted: 
04.09.2018
Published: 
31.12.2018
Short text (in English):
(downloads: 120)