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Exact solutions of optical pulse propagation in nonlinear meta-materials

  • Lipsa Nanda
Regular Article

Abstract

An analytical and simulation based method has been used to exactly solve the nonlinear wave propagation in bulk media exhibiting frequency dependent dielectric susceptibility and magnetic permeability. The method has been further extended to investigate the intensity distribution in a nonlinear meta-material with negative refractive index where both ε and μ are dispersive and negative in nature.

Graphical abstract

Keywords

Optical Phenomena and Photonics 

References

  1. 1.
    J.B. Pendry, A.J. Holden, D.J. Robbins, W.J. Stewart, IEEE Trans. Microw. Theory Tech. 47, 2075 (1999)ADSCrossRefGoogle Scholar
  2. 2.
    D.R. Smith, W.J. Padilla, D.C. Vier, S.C. Nemat-Nasser, S. Schultz, Phys. Rev. Lett. 84, 4184 (2000)ADSCrossRefGoogle Scholar
  3. 3.
    G.P. Agrawal, Nonlinear Fiber Optics (Academic Press. San Diego, 1995)Google Scholar
  4. 4.
    I. Shadrivov, A.A. Sukhorukov, Y.S. Kivshar, Phys. Rev. E 69, 016617 (2004)ADSMathSciNetCrossRefGoogle Scholar
  5. 5.
    X. Dai, Y. Xiang, S. Wen, D. Fan, Opt. Commun. 283, 1607 (2010)ADSCrossRefGoogle Scholar
  6. 6.
    V. Zakharov, A. Shabat, Functional analysis and its Applications (Springer, 1979)Google Scholar
  7. 7.
    R. Hirota, J. Math. Phys. 14, 810 (1973)ADSCrossRefGoogle Scholar
  8. 8.
    J.L. Zhang, M.L. Wang, Pramana J. Phys. 67, 1011 (2006)ADSCrossRefGoogle Scholar
  9. 9.
    V.M. Vyas, P. Patel, P.K. Panigrahi, C.N. Kumar, W. Greiner, J. Phys. A: Math. Gen. 39, 9151 (2006)ADSCrossRefGoogle Scholar
  10. 10.
    Z.H. Ping, L. Biao, C. Yong, Chin. Phys. B 19, 060302 (2010)CrossRefGoogle Scholar
  11. 11.
    A.K. Sarma, Commun. Nonlinear Sci. Numerical Simulation 14, 3215 (2009)ADSCrossRefGoogle Scholar
  12. 12.
    M. Scalora, M. Syrchin, N. Akozbek, E.Y. Poliakov, G. D’Aguanno, N. Mattiucci, M.J. Bloemer, A.M. Zheltikov, Phys. Rev. Lett. 95, 013902 (2005)ADSCrossRefGoogle Scholar
  13. 13.
    N.L. Tsitsas, N. Rompotis, I. Kourakis, P.G. Kevrekidis, D.J. Frantzeskakis, Phys. Rev. E 79, 037601 (2009)ADSCrossRefGoogle Scholar
  14. 14.
    Y. Rongcao, Y. Zhang, J. Opt. Soc. Am. B 28, 1123 (2011)Google Scholar
  15. 15.
    Li. Penggang, Y. Rongcao, Xu. Zhiyong, Phys. Rev. E 82, 046603 (2010)CrossRefGoogle Scholar
  16. 16.
    R.J. Deissler, H.R. Brand, Phys. Rev. Lett. 72, 478 (1994)ADSCrossRefGoogle Scholar
  17. 17.
    R.J. Deissler, Phys. Lett. A 120, 334 (1987)ADSMathSciNetCrossRefGoogle Scholar
  18. 18.
    O. Thual, S. Fauve, J. Phys. 49, 1829 (1988)CrossRefGoogle Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.Department of PhysicsCampus 3, KIIT UniversityOdishaIndia

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