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Forced Nonlinear Precession of the Second-Order Magnetization in a Magnetoelastic Material

  • RADIO PHENOMENA IN SOLIDS AND PLASMA
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Abstract

Nonlinear precession of the second-order magnetization in a normally magnetized plate with magnetoelastic properties is analyzed. Orientational transition of the magnetization vector that lies in a variation of the equilibrium position of the vector due to a variation in the magnetoelastic constant is studied. A system of equation for the equilibrium position of the magnetization vector relative to magnetization components and elastic displacement is derived and solved with the aid of the Cardano method. Parametric portraits are obtained for magnetization and elastic displacement, and the effect of magnetoelasticity on the geometrical properties is revealed using a model of potential. Models of effective fields and quadratic magnetoelastic coupling are proposed to interpret the dependence of the period of precession on the constant of magnetoelastic interaction.

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REFERENCES

  1. A. G. Gurevich and G. A. Melkov, Magnetization Oscillations and Waves (Nauka, Moscow, 1994; CRC, Boca Raton, Fl., 1996).

  2. Ya. A. Monosov, Nonlinear Ferromagnetic Resonance (Nauka, Moscow, 1971) [in Russian].

    Google Scholar 

  3. A. G. Temiryazev, M. P. Tikhomirova, and P. E. Zilberman, J. Appl. Phys. 76, 5586 (1994).

    Article  Google Scholar 

  4. P. E. Zilberman, A. G. Temiryazev, and M. P. Tikhomirova, Zh. Eksp. Teor. Fiz. 108, 281 (1995).

    Google Scholar 

  5. Yu. V. Gulyaev, P. E. Zil’berman, A. G. Temiryazev, and M. P. Tikhomirova, Phys. Solid State 42, 1094 (2000).

    Article  Google Scholar 

  6. Th. Gerrits, M. L. Schneider, A. B. Kos, and T. J. Silva, Phys. Rev. B 73, 094454(7) (2006).

  7. D. I. Sementsov and A. M. Shutyi, Usp. Fiz. Nauk 177, 831 (2007).

    Article  Google Scholar 

  8. K. P. Belov, A. K. Zvezdin, A. M. Kadomtseva, and R. Z. Levitin, Orientational Transitions in Rare-Earth Magnetics (Nauka, Moscow, 1979).

    Google Scholar 

  9. V. S. Vlasov, L. N. Kotov, V. G. Shavrov, and V. I. Shcheglov, J. Commun. Technol. Electron. 56, 73 (2011).

    Article  Google Scholar 

  10. V. S. Vlasov, L. N. Kotov, and V. I. Shcheglov, Nonlinear Precession of Magnetization Vector under Conditions for Orientational Transition (IPO SyktGU, Syktyvkar, 2013).

    Google Scholar 

  11. V. S. Vlasov, L. N. Kotov, V. G. Shavrov, and V. I. Shcheglov, J. Commun. Technol. Electron. 56, 1117 (2011).

    Article  Google Scholar 

  12. V. S. Vlasov, L. N. Kotov, V. G. Shavrov, and V. I. Shcheglov, J. Commun. Technol. Electron. 56, 670 (2011).

    Article  Google Scholar 

  13. V. S. Vlasov, L. N. Kotov, V. G. Shavrov, and V. I. Shcheglov, J. Commun. Technol. Electron. 57, 453 (2012).

    Article  Google Scholar 

  14. V. S. Vlasov, M. S. Kirushev, L. N. Kotov, V. G. Shavrov, and V. I. Shcheglov, J. Commun. Technol. Electron. 58, 806 (2013).

    Article  Google Scholar 

  15. V. S. Vlasov, M. S. Kirushev, L. N. Kotov, V. G. Shavrov, and V. I. Shcheglov, J. Commun. Technol. Electron. 58, 847 (2013).

    Article  Google Scholar 

  16. V. S. Vlasov, L. N. Kotov, V. G. Shavrov, and V. I. Shcheglov, J. Commun. Technol. Electron. 55, 645 (2010).

    Article  Google Scholar 

  17. V. S. Vlasov, M. S. Kirushev, V. G. Shavrov, and V. I. Shcheglov, J. Radioelektron., No. 4, (2015). http://jre.cplire.ru/jre/apr15/7/text.pdf.

  18. V. S. Vlasov, L. N. Kotov, V. G. Shavrov, and V. I. Shcheglov, J. Commun. Technol. Electron. 54, 821 (2009).

    Article  Google Scholar 

  19. R. L. Comstock and R. C. LeCraw, J. Appl. Phys. 34, 3022 (1963).

    Article  Google Scholar 

  20. R. Le-Krou and R. Komstok, Physical Acoustics. Principles and Methods, Ed. by W. P. Mason, Vol. 3: Lattice Dynamics (Academic, New York, 1964; Mir, Moscow, 1968).

  21. O. Yu. Belyaeva, L. K. Zarembo, and S. N. Karpachev, Usp. Fiz. Nauk. 162, 107 (1992).

    Article  Google Scholar 

  22. B. A. Goldin, L. N. Kotov, L. K. Zarembo, and S. N. Karpachev, in Spin–Phonon Interactions in Crystals (Ferrites) (Nauka, Leningrad, 1991) [in Russian].

    Google Scholar 

  23. A. K. Sushkevich, Fundamentals of the Higher Algebra (Gostekhteorizdat, Moscow, 1941).

    Google Scholar 

  24. G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers (McGraw-Hill, New York, 1968; Nauka, Moscow, 1973).

  25. V. S. Vlasov, A. P. Ivanov, V. G. Shavrov, and V. I. Shcheglov, J. Radioelektron., No. 11, (2013). http://jre.cplire.ru/jre/nov13/3/text.pdf.

  26. V. S. Vlasov, A. P. Ivanov, V. G. Shavrov, and V. I. Shcheglov, J. Radioelektron., No. 1, (2014). http://jre.cplire.ru/jre/jan14/11/text.pdf.

  27. V. S. Vlasov, A. P. Ivanov, V. G. Shavrov, and V. I. Shcheglov, J. Commun. Technol. Electron. 60, 75 (2015).

    Article  Google Scholar 

  28. V. S. Vlasov, A. P. Ivanov, V. G. Shavrov, and V. I. Shcheglov, J. Commun. Technol. Electron. 60, 280 (2015).

    Article  Google Scholar 

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ACKNOWLEDGMENTS

The numerical analysis of the development of oscillations in time was supported by the Russian Foundation for Basic Research (project no. 17-02-01138-а).

This work was supported by the Russian Science Foundation (project no. 14-22-00279).

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Correspondence to V. G. Shavrov or V. I. Shcheglov.

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Translated by A. Chikishev

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Vlasov, V.S., Kirushev, M.S., Shavrov, V.G. et al. Forced Nonlinear Precession of the Second-Order Magnetization in a Magnetoelastic Material. J. Commun. Technol. Electron. 64, 41–51 (2019). https://doi.org/10.1134/S1064226919010121

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  • DOI: https://doi.org/10.1134/S1064226919010121

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