Dispersion of Surface Waves at the Interface between a Dielectric and a Finely Layered Ferrite–Graphene Medium

  • D. A. Evseev
  • D. I. SementsovEmail author


The propagation of guided ТМ- and ТЕ-polarized waves along the interface between a dielectric and a finely layered ferrite–graphene plasmon-polariton medium have been investigated. Based on the long-wavelength approximation, expressions for effective permittivity and permeability of a layered medium have been derived and used to establish dispersion relations for these waves and build frequency dependences of propagation constant real and imaginary parts. Where the waves are surface or radiation have been determined.



This study was supported by the Ministry of Science and Higher Education of the Russian Federation, state task no. 3.6825.2017//BCh.


  1. 1.
    S. V. Morozov, K. S. Novoselov, and A. K. Geim, Usp. Fiz. Nauk 178, 776 (2008).CrossRefGoogle Scholar
  2. 2.
    A. H. Castro Neto, F. Guinea, N. M. R. Peres, et al., Rev. Mod. Phys. 81 (1), 109 (2009).CrossRefGoogle Scholar
  3. 3.
    L. A. Falkovsky and S. S. Pershoguba, Phys. Rev. B 76, 153410 (2007).CrossRefGoogle Scholar
  4. 4.
    G. W. Hanson, J. Appl. Phys. 103, 064302 (2008).CrossRefGoogle Scholar
  5. 5.
    V. Ya. Aleshkin, A. A. Dubinov, and V. Ryzhii, JETP Lett. 89, 63 (2009).CrossRefGoogle Scholar
  6. 6.
    A. S. El-Naggar, Opt. Quantum Electron. 47, 1627 (2015).CrossRefGoogle Scholar
  7. 7.
    M. I. Katsnelson, Europhys. Lett. 84, 37001 (2008).CrossRefGoogle Scholar
  8. 8.
    O. L. Berman and R. Ya. Kezerashvili, J. Phys.: Cond. Mat. 24, 015305 (2012).Google Scholar
  9. 9.
    A. Madani and S. R. Entezar, Physica B 431, 1 (2013).CrossRefGoogle Scholar
  10. 10.
    A. A. Kolesnikov and Yu. E. Lozovik, Tr. MFTI 5 (1), 53 (2013).Google Scholar
  11. 11.
    H. Liang, S. Ruan, M. Zhang, H. Su, and I. Ling Li, Appl. Phys. Lett. 107 (9), 091602 (2015).Google Scholar
  12. 12.
    C. H. Gan, H. S. Chu, and E. P. Li, Phys. Rev. B 85, 125431 (2012).CrossRefGoogle Scholar
  13. 13.
    B. Zhu, G. Ren, S. Zheng, Z. Lin, S. Jian, Opt. Express 21, 17089 (2013).CrossRefGoogle Scholar
  14. 14.
    D. Svintsov, V. Vyurkov, V. Ryzhii, and T. Otsuji, arXiv:1211.3629v2.Google Scholar
  15. 15.
    M. B. Belonenko, N. G. Lebedev, and N. N. Yanyushkina, Phys. Solid State 54, 174 (2012).CrossRefGoogle Scholar
  16. 16.
    P. I. Buslaev, I. V. Iorsh, I. V. Shadrivov, P. A. Belov, and Yu. S. Kivshar, JETP Lett. 97, 535 (2013).CrossRefGoogle Scholar
  17. 17.
    D. Yu. Fedyanin, A. V. Arsenin, V. G. Leiman, and A. D. Gladun, Kvantov. Elektron. 39, 745 (2009).CrossRefGoogle Scholar
  18. 18.
    D. Smirnova, P. Buslaev, I. Iorsh, et al., Phys. Rev. B 89, 245414 (2014).CrossRefGoogle Scholar
  19. 19.
    D. A. Smirnova, I. V. Iorsh, I. V. Shadrivov, and Y. S. Kivshar, JETP Lett. 99, 456 (2014).CrossRefGoogle Scholar
  20. 20.
    Yu. I. Bespyatykh, A. S. Bugaev, and I. E. Dikshtein, Phys. Solid State 43, 2130 (2001).CrossRefGoogle Scholar
  21. 21.
    D. G. Sannikov, S. V. Zhirnov, and D. I. Sementsov, Phys. Solid State 51, 1935 (2009).CrossRefGoogle Scholar
  22. 22.
    V. M. Agranovich, Sol. State Comm. 78, 747 (1991).CrossRefGoogle Scholar
  23. 23.
    S. V. Eliseeva, D. G. Sannikov, and D. I. Sementsov, J. Magn. Magn. Mater. 322, 3807 (2010).CrossRefGoogle Scholar
  24. 24.
    A. G. Gurevich and G. A. Melkov, Magnetization Oscillations and Waves (Nauka, Moscow, 1994; CRC, Boca Raton, Fl., 1996).Google Scholar
  25. 25.
    Yu. M. Yakovlev and S. Sh. Gendelev, Single Crystals of Ferrites in Radioelectronics (Sovetskoe Radio, Moscow, 1975) [in Russian].Google Scholar

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© Pleiades Publishing, Inc. 2019

Authors and Affiliations

  1. 1.Ulyanovsk State UniversityUlyanovskRussia

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