Skip to main content
Log in

Propagation of electromagnetic waves in a nonlinear metamaterial layer

  • Electrodynamics and Wave Propagation
  • Published:
Journal of Communications Technology and Electronics Aims and scope Submit manuscript

Abstract

Propagation of electromagnetic TE waves in a nonlinear dielectric layer with generalized Kerr’s nonlinearity is considered. The layer is located between two isotropic nonmagnetic semi-infinite media with constant electrodynamic parameters. The dispersion equation for the eigenvalues of the problem (propagation constants) is derived. The behavior of dispersion curves is qualitatively analyzed. Propagation of waves in a nonlinear metamaterial is studied.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. D. Shatrov, Radiotekh. Elektron. (Moscow) 52, 909 (2007) [J. Commun. Technol. Electron. 53, 842 (2007)].

    Google Scholar 

  2. V. V. Shevchenko, Radiotekh. Elektron. (Moscow) 53, 1121 (2008) [J. Commun. Technol. Electron. 53, 1060 (2008)].

    Google Scholar 

  3. S. E. Bankov, Radiotekh. Elektron. (Moscow) 54, 133 (2009) [J. Commun. Technol. Electron. 54, 123 (2009)].

    Google Scholar 

  4. L. Solymar and E. Shamonina, Waves in Metamaterials (Oxford Univ. Press, Oxford, 2009).

    Google Scholar 

  5. R. Marques, F. Martin, and M. Sorolla, Metamaterials with Negative Parameters. Theory, Design, and Microwave Applications (John Wiley & Sons, Hoboken, 2008).

    Google Scholar 

  6. D. V. Valovik and Yu. G. Smirnov, Izv. Vuzov. Povolzhskii Region. Fiz.-Mat. Nauki, No. 3, 15 (2010).

  7. H. W. Schurmann, V. S. Serov, and Yu. V. Shestopalov, Phys. D (Amsterdam) 158(1–4), 197 (2001).

    MathSciNet  Google Scholar 

  8. H. W. Schurmann, V. S. Serov, and Yu. V. Shestopalov, Phys. Rev. E 58(1), 197 (1998).

    Article  MathSciNet  Google Scholar 

  9. P. N. Eleonskii, L. G. Oganesyants, and V. P. Silin, Zh. Eksp. Teor. Fiz. 35, 532 (1972).

    Google Scholar 

  10. N. I. Akhiezer, Elements of the Theory of Elliptic Functions (Nauka, Moscow, 1970) [in Russian].

    Google Scholar 

  11. A. W. Snyder and J. D. Love, Optical Waveguide Theory (Chapman and Hall, London, 1983; Radio i Svyaz’, Moscow, 1987).

    Google Scholar 

  12. D. V. Valovik and Yu. G. Smirnov, Izv. Vuzov. Povolzhskii Region. Fiz.-Mat. Nauki, No. 1, 28 (2010).

  13. D. V. Valovik and Yu. G. Smirnov, Radiotekh. Elektron. (Moscow) 57(3) (2011) [J. Commun. Technol. Electron. 57, (3) (2011)].

  14. D. V. Valovik, Izv. Vuzov. Povolzhskii Region. Fiz.-Mat. Nauki, No. 1, 18 (2010).

  15. D. V. Valovik, Izv. Vuzov. Povolzhskii Region. Fiz.-Mat. Nauki, No. 2, 55 (2010).

Download references

Authors

Additional information

Original Russian Text © D.V. Valovik, 2011, published in Radiotekhnika i Elektronika, 2011, Vol. 56, No. 5, pp. 587–599.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Valovik, D.V. Propagation of electromagnetic waves in a nonlinear metamaterial layer. J. Commun. Technol. Electron. 56, 544–556 (2011). https://doi.org/10.1134/S1064226911050111

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1064226911050111

Keywords

Navigation