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ISSN 2542-1905 (Online)

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Manenkov A. B. Propagation of waves along diffuse boundary of nonlinear metamaterials. Izvestiya VUZ. Applied Nonlinear Dynamics, 2014, vol. 22, iss. 5, pp. 13-26. DOI: 10.18500/0869-6632-2014-22-5-13-26

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621.372; 537.86; 537.87

Propagation of waves along diffuse boundary of nonlinear metamaterials

Manenkov Aleksandr Bencionovich, P.L. Kapitza Institute for Physical Problems of Russian Academy of Sciences

The characteristics of surface TM modes, guided by diffuse interface between two nonlinear media (metamaterial and conventional dielectric), are investigated. The field distributions and dependencies of propagation constants on parameters of the transition layer are calculated. Effects, caused by media nonlinearity, are studied.

  1. Weinstein LA. Electromagnetic Waves. Moscow: Radio I Svyaz; 1982.440 p. (in Russian).
  2. Weinstein LA. Diffraction Theory and Factorization Method. Moscow: Radio I Svyaz; 1966. 431 p. (in Russian).
  3. Agranovich VM, Mills DL, editors. Surface Polaritons. North Holland: Elsevier; 1982. 734 p.
  4. Libenson MN. Surface electromagnetic waves of the optical range. Sorosov Educational Journal. 1996;(10):93—98 (in Russian).
  5. Knyazev BA, Kuzmin AV. Surface electromagnetic waves: From visible range to microwaves. Siberian Journal of Physics. 2007;2(1):108—122 (in Russian).
  6. Ruppin R. Surface polaritons of a left-handed medium. Phys. Lett. A. 2000;277(1):61—64. DOI: 10.1016/S0375-9601(00)00694-0.
  7. Shadrivov IV, Sukhorukov AA, Kivshar YS, Zharov AA, Boardman AD, Egan P. Nonlinear surface waves in left-handed materials. Phys. Rev. E. 2004;69(1):016617. DOI: 10.1103/PhysRevE.69.016617.
  8. Ginsburg VL. Propagation of Electromagnetic Waves in Plasma. Gordon and Breach Science Publishers; 1962. 846 p.
  9. Kapitanova PV, Slobozhanyuk AP, Shadrivov IV, Belov PA, Kivshar YS. Competing nonlinearities with metamaterials. Appl. Physics Lett. 2012;101(23):231904. DOI: 10.1063/1.4768945.
  10. Lapine M, Shadrivov IV, Kivshar YS. Colloquium: Nonlinear metamaterials. Reviews Modern Physics. 2014;86(3):1093—1123. DOI: 10.1103/RevModPhys.86.1093.
  11. Manenkov AB. The dispersion characteristics of metamaterial waveguide modes. Journal of Communications Technology and Electronics. 2012;57(9):983—992. DOI: 10.1134/S1064226912090100.
  12. Weinstein LA, Manenkov AB. Excitation of open waveguides. In: Lectures on Microwave Electronics and Radiophysics. Vol. 1. Saratov: Saratov University Publishing; 1986. P. 141—197 (in Russian).
  13. Shevchenko VV. Forward and backward waves: three definitions and their interrelation and applicability. Physics-Uspekhi. 2007;50(3):287—292. DOI: 10.1070/PU2007v050n03ABEH006243.
  14. Tricomi FG. Differential Equations. Hafner Pub. Co; 1961. 273 p.
  15. Arnold VI. Lectures on Partial Differential Equations. Berlin: Springer; 2004. 162 p. DOI: 10.1007/978-3-662-05441-3.
  16. Ogusu K. TM waves guided by nonlinear planar waveguides. IEEE Trans. Microwave Theory Tech. 1989;37(6):941—946. DOI: 10.1109/22.25394.
  17. Manenkov AB. Characteristics of the nonlinear left­-handed waveguide. Izvestiya VUZ. Applied Nonlinear Dynamics. 2010;18(6):93—105 (in Russian). DOI: 10.18500/0869-6632-2010-18-6-93-105.
  18. Manenkov AB. Propagation of waves in open waveguides with anisotropic dielectrics. Radiophysics and Quantum Electronics. 1981;24(1):60—69. DOI: 10.1007/BF01034355.
  19. Nikolsky VV. Variational Methods for Internal Electrodynamics Problems. Moscow: Nauka; 1967. 460 p. (in Russian).
  20. Basharin AA., Mavidis C, Kafesaki M, Economou EN, Soukoulis CM. Epsilon near zero based phenomena in metamaterials. Phys. Rev. B. 2013;87(15):155130. DOI: 10.1103/PhysRevB.87.155130.
  21. Manenkov AB. Orthogonality conditions for leaky modes. Radiophysics and Quantum Electronics. 2005;48(5):348—360. DOI: 10.1007/s11141-005-0076-8.
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