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Moving near-gap solitons in the nonlinear optical medium

  • Semiconductors and Dielectrics
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Abstract

For a one-dimensional nonlinear optical medium with a periodic refraction index, new two-parameter soliton solutions of electrodynamics equations have been found. These solutions represent two interacting waves that propagate in two opposite directions. The oscillation frequency of each wave may fall either into the forbidden gap in the linear spectrum or outside it, and the group velocity may vary from zero to a maximal value that is determined by the parameters of the medium. Algebraic soliton solutions have been found as the limit of the nonlinear solutions, when the nonlinear wave frequency tends to the frequency of one of the linear-spectrum branches.

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References

  1. W. Chen and D. L. Mills, Phys. Rev. Lett. 58, 160 (1987).

    ADS  Google Scholar 

  2. D. Mills and J. Trullinger, Phys. Rev. B 36, 947 (1987).

    ADS  Google Scholar 

  3. O. Chubykalo, A. Kovalev, and O. Usatenko, Phys. Rev. B 47, 3153 (1993).

    ADS  Google Scholar 

  4. A. S. Kovalev, K. V. Kladko, and O. V. Usatenko, J. Phys. Soc. Jpn. 64, 2464 (1995).

    Article  Google Scholar 

  5. O. V. Usatenko, A. S. Kovalev, and A. A. Vialov, in Fluctuation Phenomena: Disorder and Nonlinearity, Ed. by A. R. Bishop, S. Jiménez, and L. Vázquez (World Scientific, Singapore, 1994), p. 286; O. V. Usatenko, A. S. Kovalev, and A. A. Vyalov, Fiz. Tverd. Tela (St. Petersburg) 37, 2487 (1995) [Phys. Solid State 37, 1362 (1995)].

    Google Scholar 

  6. O. Chubykalo and Yu. Kivshar, Phys. Rev. E 48, 4128 (1993).

    Article  ADS  Google Scholar 

  7. A. S. Kovalev, O. V. Usatenko, and A. V. Gorbatch, Phys. Rev. E 60, 2309 (1999).

    Article  ADS  MathSciNet  Google Scholar 

  8. J. Coste and J. Peyraud, Phys. Rev. B 39, 13086 (1989).

  9. J. Coste and J. Peyraud, Phys. Rev. B 39, 13096 (1989).

  10. J. Peyraud and J. Coste, Phys. Rev. B 40, 12201 (1989).

  11. S. Wabnitz, Opt. Lett. 14, 1071 (1989).

    ADS  Google Scholar 

  12. A. B. Aceves and S. Wabnitz, Phys. Lett. A 141, 37 (1989).

    Article  ADS  Google Scholar 

  13. A. S. Gorshkov, O. N. Ermakova, and V. F. Marchenko, Nonlinearity 10, 1007 (1997).

    Article  ADS  MathSciNet  Google Scholar 

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Translated from Fizika Tverdogo Tela, Vol. 42, No. 7, 2000, pp. 1218–1222.

Original Russian Text Copyright © 2000 by Kovalev, Usatenko, Gorbach.

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Kovalev, A.S., Usatenko, O.V. & Gorbach, A.V. Moving near-gap solitons in the nonlinear optical medium. Phys. Solid State 42, 1253–1258 (2000). https://doi.org/10.1134/1.1131372

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  • DOI: https://doi.org/10.1134/1.1131372

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