Abstract
We present a solitary wave solution of the generalized nonlinear Schrödinger equation for dispersive permittivity and permeability using a scaling transformation and coupled amplitude-phase formulation. The constraint conditions and the frequency regimes for the existence of solitary waves in a negative index material (NIM) have been worked out. It is shown that soliton shift in a NIM may be suppressed by a judicious choice of the TOD and self-steepening parameter.
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V.G. Veselago, Sov. Phys. Usp. 10, 509 (1968)
D.R. Smith, W.J. Padilla, D.C. Vier, S.C. Nemat-Nasser, S. Schultz, Phys. Rev. Lett. 84, 4184 (2000)
J.B. Pendry, Phys. Rev. Lett. 85, 3966 (2000)
R.A. Shelby, D.R. Smith, S. Schultz, Science 292, 77 (2001)
V.M. Shalaev, Nature Photonics 1, 41 (2007)
J. Zhou, Th. Koschny, M. Kafesaki, E.N. Economou, J.B. Pendry, C.M. Soukoulis, Phys. Rev. Lett. 95, 223902 (2005)
A.A. Zharov, I.V. Shadrivov, Y.S. Kivshar, Phys. Rev. Lett. 91, 037401 (2003)
S. O’Brien, D. McPeake, S.A. Ramakrishna, J.B. Pendry, Phys. Rev. B 69, R241101 (2004)
M. Lapine, M. Gorkunov, K.H. Ringhofer, Phys. Rev. E 67, R065601 (2003)
V.M. Agranovich, Y.R. Shen, R.H. Baughman, A.A. Zakhidov, Phys. Rev. B 69, 165112 (2004)
M.W. Klein, M. Wegner, F. Feth, S. Linden, Science 313, 502 (2006)
R.W. Ziolkowski, Phys. Rev. E 63, 046604 (2001)
G. D’Aguanno, N. Mattiucci, M. Scalora, M.J. Bloemer, Phys. Rev. Lett. 93, 213902 (2004)
W.T. Lu, J.B. Sokoloff, S. Sridhar, Phys. Rev. E 69, 026604 (2004)
J.R. Thomas, A. Ishimaru, IEEE Trans. Antennas Propag. 53, 1591 (2005)
G. D’Aguanno, N. Akozbek, N. Mattiucci, M. Scalora, M.J. Bloemer, A.M. Zheltikov, Opt. Lett. 30, 1998 (2005)
S. Wen, Y. Wang, W. Su, Y. Xiang, X. Fu, D. Fan, Phys. Rev. E 73, 036617 (2006)
X. Dai, Y. Xiang, S. Wen, D. Fan, J. Opt. Soc. Am. B 26, 564 (2009)
M. Marklund, P.K. Shukla, L. Stenflo, Phys. Rev. E 73, 037601 (2006)
S. Wen, Y. Xiang, W. Su, Y. Hu, X. Fu, D. Fan, Opt. Express 14, 1568 (2006)
N. Lazarides, G.P. Tsironis, Phys. Rev. E 71, 036614 (2005)
I. Kourakis, P.K. Shukla, Phys. Rev. E 72, 016626 (2005)
M. Scalora, M.S. Syrchin, N. Akozbek, E.Y. Poliakov, G. D’Aguanno, N. Mattiucci, M.J. Bloemer, A.M. Zheltikov, Phys. Rev. Lett. 95, 013902 (2005)
S. Zhang, L. Yi, Phys. Rev. E 78, 026602 (2008)
M. Gedalin, T.C. Scott, Y.B. Band, Phys. Rev. Lett. 78, 448 (1997)
D.N. Christodoulides, R.I. Joseph, Elect. Lett. 20, 659 (1984)
G.P. Agrawal, Nonlinear Fiber Optics, 4th edn. (Academic Press, New Work, 2007)
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Sarma, A.K. Solitary waves in a negative index material with dispersive permittivity and permeability. Eur. Phys. J. D 62, 421–424 (2011). https://doi.org/10.1140/epjd/e2011-10288-0
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DOI: https://doi.org/10.1140/epjd/e2011-10288-0