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.
Similar content being viewed by others
References
A. D. Shatrov, Radiotekh. Elektron. (Moscow) 52, 909 (2007) [J. Commun. Technol. Electron. 53, 842 (2007)].
V. V. Shevchenko, Radiotekh. Elektron. (Moscow) 53, 1121 (2008) [J. Commun. Technol. Electron. 53, 1060 (2008)].
S. E. Bankov, Radiotekh. Elektron. (Moscow) 54, 133 (2009) [J. Commun. Technol. Electron. 54, 123 (2009)].
L. Solymar and E. Shamonina, Waves in Metamaterials (Oxford Univ. Press, Oxford, 2009).
R. Marques, F. Martin, and M. Sorolla, Metamaterials with Negative Parameters. Theory, Design, and Microwave Applications (John Wiley & Sons, Hoboken, 2008).
D. V. Valovik and Yu. G. Smirnov, Izv. Vuzov. Povolzhskii Region. Fiz.-Mat. Nauki, No. 3, 15 (2010).
H. W. Schurmann, V. S. Serov, and Yu. V. Shestopalov, Phys. D (Amsterdam) 158(1–4), 197 (2001).
H. W. Schurmann, V. S. Serov, and Yu. V. Shestopalov, Phys. Rev. E 58(1), 197 (1998).
P. N. Eleonskii, L. G. Oganesyants, and V. P. Silin, Zh. Eksp. Teor. Fiz. 35, 532 (1972).
N. I. Akhiezer, Elements of the Theory of Elliptic Functions (Nauka, Moscow, 1970) [in Russian].
A. W. Snyder and J. D. Love, Optical Waveguide Theory (Chapman and Hall, London, 1983; Radio i Svyaz’, Moscow, 1987).
D. V. Valovik and Yu. G. Smirnov, Izv. Vuzov. Povolzhskii Region. Fiz.-Mat. Nauki, No. 1, 28 (2010).
D. V. Valovik and Yu. G. Smirnov, Radiotekh. Elektron. (Moscow) 57(3) (2011) [J. Commun. Technol. Electron. 57, (3) (2011)].
D. V. Valovik, Izv. Vuzov. Povolzhskii Region. Fiz.-Mat. Nauki, No. 1, 18 (2010).
D. V. Valovik, Izv. Vuzov. Povolzhskii Region. Fiz.-Mat. Nauki, No. 2, 55 (2010).
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
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
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1064226911050111