Advertisement

The European Physical Journal D

, Volume 59, Issue 3, pp 457–461 | Cite as

Self-similar optical beam in nonlinear waveguides

  • C. Q. DaiEmail author
  • Y. J. Xu
  • R. P. Chen
  • S. Q. ZhuEmail author
Nonlinear Dynamics

Abstract.

By means of the similarity transformation, we obtain exact bright and dark similariton-pair solutions in nonlinear waveguides for the generalized nonlinear Schrödinger equation exhibiting spatial inhomogeneity, inhomogeneous nonlinearity and gain or loss at the same time. Then we investigate the interaction behaviors of these solitonic similaritons in a periodic distributed amplification system.

Keywords

Soliton System Distribution Parameter Bright Soliton Kerr Nonlinearity Nonlinear Waveguide 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    V.I. Kruglov, A.C. Peacock, J.D. Harvey, Phys. Rev. E 71, 056619 (2005) CrossRefMathSciNetADSGoogle Scholar
  2. 2.
    S.A. Ponomarenko, G.P. Agrawal, J. Opt. Soc. Am. B 25, 983 (2008) CrossRefADSGoogle Scholar
  3. 3.
    D. Zhao, X.G. He, H.G. Luo, Eur. Phys. J. D 53, 213 (2009) CrossRefADSGoogle Scholar
  4. 4.
    C.Q. Dai, Y.Y. Wang, C.J. Yan, Opt. Commun. 283, 1489 (2010) CrossRefADSGoogle Scholar
  5. 5.
    C.Q. Dai, Y.Y. Wang, J.F. Zhang, Opt. Lett. 35, 1437 (2010) CrossRefADSGoogle Scholar
  6. 6.
    G.I. Barenblatt, Scaling, Self-similarity, and Intermediate Asymptotics (Cambrigde U. Press, Cambridge, 1996) Google Scholar
  7. 7.
    T.M. Monro, D. Moss, M. Bazylenko, C. Martijn de Sterke, L. Poladian, Phys. Rev. Lett. 80, 4072 (1998) CrossRefADSGoogle Scholar
  8. 8.
    M.E. Fermann, V.I. Kruglov, B.C. Thomsen, J. M. Dudley, J.D. Harvey, Phys. Rev. Lett. 84, 6010 (2000) CrossRefADSGoogle Scholar
  9. 9.
    F.Ö. Ilday, J.R. Buckley, W.G. Clark, F.W. Wise, Phys. Rev. Lett. 92, 213902 (2004) CrossRefADSGoogle Scholar
  10. 10.
    S.A. Ponomarenko, G.P. Agrawal, Phys. Rev. Lett. 97, 013901 (2006) CrossRefADSGoogle Scholar
  11. 11.
    S.A. Ponomarenko, G.P. Agrawal, Opt. Lett. 32, 1659 (2007) CrossRefADSGoogle Scholar
  12. 12.
    J.F. Wang, L. Li, S.T. Jia, J. Opt. Soc. Am. B 25, 1254 (2008) CrossRefADSGoogle Scholar
  13. 13.
    R.Y. Hao, G.S. Zhou, Opt. Commun. 281, 4474 (2008) CrossRefADSGoogle Scholar
  14. 14.
    H.M. Li, F.Q. Song, Opt. Commun. 277, 174 (2007) CrossRefADSGoogle Scholar
  15. 15.
    L. Wu, J.F. Zhang, L. Li, Q. Tian, K. Porsezian, Opt. Express 16, 6352 (2008) CrossRefADSGoogle Scholar
  16. 16.
    V. Serkin, A. Hasegawa, T.S. Belyaeva, Phys. Rev. Lett. 98, 074102 (2007) CrossRefADSGoogle Scholar
  17. 17.
    B. Li, X.F. Zhang, Y.Q. Li, Y. Chen, W.M. Liu, Phys. Rev. A 78, 023608 (2008) CrossRefADSGoogle Scholar
  18. 18.
    J.K. Xue, J. Phys. B: At. Mol. Opt. Phys. 38, 3841 (2005) CrossRefADSGoogle Scholar
  19. 19.
    Z.X. Liang, Z.D. Zhang, W.M. Liu, Phys. Rev. Lett. 94, 050402 (2005) CrossRefADSGoogle Scholar
  20. 20.
    J. Belmonte-Beitia, V.M. Pérez-García, V. Vekslerchik, V.V. Konotop, Phys. Rev. Lett. 100, 16410 (2008) CrossRefGoogle Scholar
  21. 21.
    L.H. Zhao, C.Q. Dai, Eur. Phys. J. D 58, 327 (2010) CrossRefADSGoogle Scholar
  22. 22.
    S.A. Ponomarenko, G.P. Agrawal, Opt. Express 15, 2963 (2007) CrossRefADSGoogle Scholar
  23. 23.
    R.Y. Hao, L. Li, Z.H. Li, W.R. Xue, G.S. Zhou, Opt. Commun. 236, 79 (2004) CrossRefADSGoogle Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.School of Physical Science and Technology, Suzhou UniversityJiangsuP.R. China
  2. 2.School of Sciences, Zhejiang A&F UniversityZhejiangP.R. China
  3. 3.School of Engineering, Zhejiang A&F UniversityZhejiangP.R. China

Personalised recommendations