"JOURNAL OF RADIO ELECTRONICS" (Zhurnal Radioelektroniki ISSN 1684-1719, N 7, 2019

contents of issue      DOI  10.30898/1684-1719.2019.7.8     full text in Russian (pdf)  

UDC 537.871.7

Spectral properties of magnetoelastic waves in the gap structure of ferromagnetic films during their subsonic relative displacement


Sergey N. Maryshev 1 , Alexey V. Moiseev 1 , Evgeny A. Vilkov 2, Lev A. Fomin 3

1 Moscow Institute of physics and technology (national research University) (MIPT), Institutsky lane, 9, Dolgoprudny, Moscow region 141701, Russia

2 Fryazino Branch of Kotelnikov Institute of Radioengineering and Electronics of the Russian Academy of Sciences, Vvedensky Sq.1, Fryazino Moscow region 141190, Russia

Institute of Microelectronic Technology and High Purity Materials of Russian Academy of Sciences, Ac. Osipyana 6, Chernogolovka, Moscow Region 142432, Russia


The paper is received on June 24, 2019


Abstract. Theoretically we consider the influence of the relative longitudinal displacement (RLD) of ferromagnetic films of planar structure with a gap on the propagation of slot-hole magnetoelastic waves. It is found, that taking into account the thickness of ferromagnetic media leads to the displacement of the initial points of the branches of the spectrum of magnetoelastic waves. The spectrum of volume acoustic waves in films is split into two lines due to the movement of crystals. The spectrum of other acoustic modes of the film structure has no splitting and is transformed similarly to the spectrum of magnetostatic waves.  It is revealed from the analysis of the obtained spectrum of slot-hole magnetoelastic waves at RLD, that both the phase and group speed of the waves and the type of wave dispersion can be changed within a wide range by changing the speed and direction of the crystals. It can lead to the appearance of an anomalous Doppler effect, which is characteristic for the artificial metamaterial. Results of researches can be a theoretical basis for the development of systems of monitoring of devices in which moving of details is the basis for functioning.  

Keywords: magnetoelastic surface waves, slot-hole waves, magnetostriction, ferromagnetic film, relativity of moving, wave dispersion, symmetric and antisymmetric modes.


1. Parekh J.P. Magnetoelastic surface waves in ferrits. Electron. Lett., 1969, Vol. 5, No. 14, pp. 322-323.

2. Filippov B.N., Onoprienko L.G. Bound magnetoelastic waves in a restricted environment. The Physics of Metals and Metallography, 1970, Vol. 30, No. 6, pp. 1121-1133 (In Russian)

3. Parekh J.P., Bertoni H.L. Magnetoelastic Rayleigh-type surface wave on tangentially magnetized YIG substrate. Appl. Phys. Lett., 1972, Vol. 20, No. 9, pp. 362-364.

4. Parekh J.P., Bertoni H.L. Magnetoelastic Rayleigh waves propagating along a tangential bias field on a YIG substrate. J. Appl. Phys., 1974, Vol. 45, No. 1, pp. 434-445.

5. Parekh J.P., Bertoni H.L. Magnetoelastic Rayleigh waves on a YIG substrate magnetized normal to its surface. J. Appl. Phys., 1974, Vol. 45, No. 4, pp. 1860-1868.

6. Emtage P.R. Nonreciprocal attenuation of magnetoelastic surface waves. Phys. Rev. B, 1976, Vol. 13, No. 7, pp. 3063-3070.

7. Scott R.Q., Mills D.L. The interaction of Rayleigh waves with ferromagnetic spins; propagation parallel to the magnetization. Sol. St. Comm., 1976, Vol. 18, No. 7, pp. 849-852.

8. Scott R.Q., Mills D.L. Propagation of surface magnetoelastic waves on ferromagnetic crystal substrate. Phys. Rev. B, 1977, Vol. 15, No. 7, pp. 3545-3557.

9. Filippov B.N., Lukomskiy V.P. The theory of magnetoelastic waves in ferromagnetic plates. The Physics of Metals and Metallography, 1972, Vol. 34, No. 4, pp. 682-690. (In Russian)

10. Belubekyan M.V., Martirisyan E.V. Slot magnetoelastic shear waves in an oblique magnetic field. Doklady NAN Armenii – Reports of National Academy of Sciences of Armenia. 2006, Vol. 106, No. 2, pp. 129-135 (In Russian)

11. Gulyaev Yu.V.,  Tarasenko S.V., Shavrov V.G. Spin wave acoustics of antiferromagnetic structures as magnetoacoustic metamaterials. Physics-Uspekhi, 2011, Vol. 54, No. 6, pp.  573–604

12.  Daniel D. Stancil, Benjamin E. Henty, Ahmet G. Cepni, J. P. Van’t Hof. Observation of an inverse Doppler shift from left-handed dipolar spin waves. Physical Review B, 2006, Vol. 74, p. 060404(R).

13.  Yu. A. Ignatov Yu.A., Klimov A.A., Nikitov S.A. Anomalous Doppler Effect Observed during Propagation of Magnetostatic Waves
in Ferromagnetic Films and Ferrite–Dielectric–Metal Structures. Journal of Communications Technology and Electronics, 2010, Vol. 55, No. 4, pp. 449-456, DOI10.1134/S106422691004011X

14.   Reed E.J., Soljacic M. Jonnopoulos J.D. Reversed Doppler Effect in Photonic Crystals. Phys. Rev. Lett., 2003, Vol.91, No. 13, p.133901, https://doi.org/10.1103/PhysRevLett.91.133901

15.  Hu X., Hang Z., Li J., et al. Anomalous Doppler effects in phononic band gaps

 Phys. Rev. E,  2006, Vol. 73, No. 1, p. 015602(R).

16. Gulyaev Yu.V., Maryshev S.N., Shevyakhov N.S. Electroacoustic wave retardation in a piezoelectric gap with relative longitudinal displacement.  Technical Physics Letters, 2006, Vol. 32, No. 10, pp. 876-879

17. Maryshev, S.N. & Shevyakhov, N.S.  An electroacoustic wave in a gap between piezoelectrics undergoing oscillatory displacement. Technical Physics Letters, 2017, Vol. 43: p. 1012. https://doi.org/10.1134/S1063785017110268

18. Maryshev S. N., Moiseev A. V., Vilkov E. A., Fomin L. A.   The influence of the relative longitudinal displacement of ferromagnetic crystals on the spectrum of slot-hole magnetoelastic waves. Zhurnal Radioelektroniki - Journal of Radio Electronics, 2018, No. 11. Available at http://jre.cplire.ru/jre/nov18/8/text.pdf DOI  10.30898/1684-1719.2018.11.8 (In Russian).

19. Nikitov S.A., Vilkov E.A., Moiseev A.V. Magnetostatic waves in the gap between two ferromagnetic films that move relative to each other. Journal of Communications Technology and Electronics. 2012, Vol. 57, No 11. pp. 1187-1193.

20. Kaibichev I. A., Shavrov V. G. Slot-hole magnetostatic waves in ferromagnets with opposite direction of magnetization. Radiotechnika i Elektronoka [Journal of Communications Technology and Electronics], 1993, Vol.10. P. 1816-1822. (In Russian)

21. Gulyaev Yu. V., Zilberman P. E. New types of exchangeless spin surface waves at the boundary of two ferromagnets.  Fizika Tverdogo Tela - Physics of the Solid State , 1979, Vol. 21, No. 5. pp. 1549-1551. (In Russian)

22. Vilkov E.A., Moiseev A.V. Magnetostatic waves in the gap of ferromagnetic crystals with relative longitudinal displacement. Technical Physics. The Russian Journal of Applied Physics. 2010. Vol. 55. No 6. pp. 890-892.

23. Damon R. W., Eshbach J.R. Magnetostatic modes of a ferromagnet slab. J. Phys. Chem. Sol., 1961, Vol. 19, N 3/4, P.308.

24. Eshbach J.R., Damon R. W. Surface Magnetostatic Modes and Surface Spin Waves.  Phys. Rev., 1960, Vol. 118, N 5, P.1208.

25. Vugalter G. A., Gilinsky, I. A. Magnetostatic waves: a review. Izvestiya Vuzov Radiofizika - Proceedings of higher educational institutions. Radiophysics. 1989, Vol. 32, No 10, P. 1187-1220. (In Russian)

26. Vilkov E. A. Fizika volnovykh processov i radio-ingenernykh sistem - Physics of wave processes and radio engineering systems. 2003. Vol.6. No 3.  pp. 123-131. (In Russian)

27. Goldin B. A., Kotov L. N., Zarembo L. K., Karpachev S. N. Spin-phononye vzaimodeystvy v kristallakh (ferrits) [Spin - phonon interaction in crystals (ferrites)]. Moscow, “Nauka” Publ., 1991. 148 p. (In Russian)  

28. Viktorov I.A. Zvukovye poverkhnostnye volny v tverdykh telakh [Acoustic surface waves in solids]. Moscow, Nauka Publ., 1981, 287 p. (In Russian)

29. Filimonov Yu. A., Shein I. V. Internal magnetostatic waves in the structure with two anisotropic ferrite layers. Zhurnal Technicheskoy Fiziki - Technical Physics. The Russian Journal of Applied Physics, 1992, Vol. 62, No. 1, pp. 187-196. (In Russian).

For citation:

S. N. Maryshev, A. V. Moiseev, E. A. Vilkov, L. A. FominSpectral properties of magnetoelastic waves in the gap structure of ferromagnetic films during their subsonic relative displacement. Zhurnal Radioelektroniki - Journal of Radio Electronics. 2019. No. 7. Available at http://jre.cplire.ru/jre/jul19/8/text.pdf

DOI  10.30898/1684-1719.2019.7.8