Advertisement

Dispersion management and cascade compression of femtosecond nonautonomous soliton in birefringent fiber

  • M. S. Mani RajanEmail author
  • J. HakkimEmail author
  • A. Mahalingam
  • A. Uthayakumar
Regular Article

Abstract

In this paper, we investigated the nonlinear tunneling of soliton in coupled higher order nonlinear Schrödinger (CHNLS) equations. Corresponding Lax pair for this equation is acquired through the Ablowitz-Kaup-Newell-Segur (AKNS) method and two soliton solutions is derived using Darboux transformation. Using two soliton solution of CHNLS equation, nonlinear tunneling of soliton has been investigated. Ultimately, cascade compressions of optical soliton have been investigated by soliton passing through number of nonlinear tunneling barrier. The obtained results may have promising applications in all-optical devices based on optical solitons.

Keywords

Optical Phenomena and Photonics 

References

  1. 1.
    R. Hao, L. Li, Z. Li, R. Yang, G.S. Zhou, Opt. Commun. 245, 383 (2005)ADSCrossRefGoogle Scholar
  2. 2.
    R. Yang, R. Hao, L. Li, X.J. Shi, Z.H. Li, G.S. Zhou, Opt. Commun. 253, 177 (2005)ADSCrossRefGoogle Scholar
  3. 3.
    J. Tian, G.S. Zhou, Opt. Commun. 262, 257 (2006)ADSCrossRefGoogle Scholar
  4. 4.
    W.J. Liu, B. Tian, H.Q. Zhang, Phys. Rev. E 78, 066613 (2008)MathSciNetADSCrossRefGoogle Scholar
  5. 5.
    L.L. Wang, C. Qian, C.Q. Dai, J.F. Zhang, Opt. Commun. 283, 4372 (2010)ADSCrossRefGoogle Scholar
  6. 6.
    J.D. He, J.F. Zhang, M.Y. Zhang, C.Q. Dai, Opt. Commun. 285, 755 (2012)ADSCrossRefGoogle Scholar
  7. 7.
    A. Hasegawa, F.D. Tappert, Appl. Phys. Lett. 23, 142 (1973)ADSCrossRefGoogle Scholar
  8. 8.
    A. Hasegawa, F.D. Tappert, Appl. Phys. Lett. 23, 171 (1973)ADSCrossRefGoogle Scholar
  9. 9.
    L.F. Mollenauer et al., Phys. Rev. Lett. 45, 1095 (1980)ADSCrossRefGoogle Scholar
  10. 10.
    R. Hao, L. Li, Z. Li, G.S. Zhou, Phys. Rev. E 70, 066603 (2004)ADSCrossRefGoogle Scholar
  11. 11.
    J.F. Zhang, Q. Yang, C.Q. Dai, Opt. Commun. 248, 257 (2005)ADSCrossRefGoogle Scholar
  12. 12.
    J. Tian, G.S. Zhou, Phys. Scr. 73, 56 (2006)MathSciNetADSCrossRefGoogle Scholar
  13. 13.
    X.H. Meng, W.J. Liu, H.W. Zhu, C.Y. Zhang, B. Tian, Physica A 387, 97 (2008)MathSciNetADSCrossRefGoogle Scholar
  14. 14.
    W.J. Liu, B. Tian, P. Wang, Y. Jiang, K. Sun, M. Li, Q.X. Qu, J. Mod. Opt. 57, 309 (2010)ADSCrossRefzbMATHGoogle Scholar
  15. 15.
    G.P. Agrawal, Nonlinear Fiber Optics (Academic Press, New York, 1995)Google Scholar
  16. 16.
    J. Tian, J. Li, L. Kang, G.S. Zhou, Phys. Scr. 72, 394 (2005)ADSCrossRefzbMATHGoogle Scholar
  17. 17.
    C.G. Latchio Tiofack, A. Mohamadou, T.C. Kofanéé, K. Porsezian, J. Mod. Opt. 57, 261 (2010)ADSCrossRefzbMATHGoogle Scholar
  18. 18.
    X. Lü, J. Li, H.Q. Zhang, T. Xu, L.L. Li, J. Math. Phys. 51, 043511 (2010)MathSciNetADSCrossRefGoogle Scholar
  19. 19.
    V.N. Serkin, A. Hasegawa, Phys. Rev. Lett. 85, 4502 (2000)ADSCrossRefGoogle Scholar
  20. 20.
    V.N. Serkin, A. Hasegawa, J. Exp. Theor. Phys. Lett. 72, 89 (2000)CrossRefGoogle Scholar
  21. 21.
    V.N. Serkin, A. Hasegawa, IEEE J. Sel. Top. Quantum Electron. 8, 418 (2002)CrossRefGoogle Scholar
  22. 22.
    V.N. Serkin, A. Hasegawa, T.L. Belyaeva, Phys. Rev. Lett. 98, 074102 (2007)ADSCrossRefGoogle Scholar
  23. 23.
    V.N. Serkin, A. Hasegawa, T.L. Belyaeva, J. Mod. Opt. 57, 1456 (2010)ADSCrossRefzbMATHGoogle Scholar
  24. 24.
    K. Porsezian, A. Hasegawa, V.N. Serkin, T.L. Belyaeva, R. Ganapathy, Phys. Lett. A 361, 504 (2007)ADSCrossRefzbMATHGoogle Scholar
  25. 25.
    M.J. Ablowitz, D.J. Kaup, A.C. Newell, H. Segur, Phys. Rev. Lett. 31, 125 (1973)MathSciNetADSCrossRefzbMATHGoogle Scholar
  26. 26.
    R. Hao, L. Li, Z.H. Li, W. Xue, G.S. Zhou, Opt. Commun. 236, 79 (2004)ADSCrossRefGoogle Scholar
  27. 27.
    A.C. Newell, J. Math. Phys. 19, 1126 (1978)MathSciNetADSCrossRefzbMATHGoogle Scholar
  28. 28.
    V.N. Serkin, T.L. Belyaeva, J. Exp. Theor. Phys. Lett. 74, 573 (2001)CrossRefGoogle Scholar
  29. 29.
    V.N. Serkin, V.M. Chapela, J. Percino, T.L. Belyaeva, Opt. Commun. 192, 237 (2001)ADSCrossRefGoogle Scholar
  30. 30.
    V.N. Serkin, V.A. Vysloukh, J.R. Taylor, Electron. Lett. 29, 12 (1993)CrossRefGoogle Scholar
  31. 31.
    G. Yang, R. Hao, L. Li, Z. Li, G.S. Zhou, Opt. Commun. 260, 282 (2006)ADSCrossRefGoogle Scholar
  32. 32.
    Y.Y. Wang, J.D. He, C.Q. Dai, Opt. Commun. 284, 4738 (2011)ADSCrossRefGoogle Scholar
  33. 33.
    W.P. Zhong, M.R. Belic, Phys. Rev. E 81, 056604 (2010)ADSCrossRefGoogle Scholar
  34. 34.
    M.S. Mani Rajan, A. Mahalingam, A. Uthayakumar, J. Opt. 14, 105204 (2012)ADSCrossRefGoogle Scholar
  35. 35.
    J.D. He, J.F. Zhang, J. Phys. A 44, 205203 (2011)ADSCrossRefGoogle Scholar
  36. 36.
    J. Wang, L. Li, S. Jia, J. Opt. Soc. Am. B 25, 1254 (2008)ADSCrossRefGoogle Scholar
  37. 37.
    C.Q. Dai, R. Chen, J.F. Zhang, Chaos Sol. Fract. 44, 862 (2011)MathSciNetADSCrossRefGoogle Scholar
  38. 38.
    T.L. Belyaeva, V.N. Serkin, C.H. Tenorio, F.G. Santibañez, J. Mod. Opt. 57, 1087 (2010)ADSCrossRefzbMATHGoogle Scholar
  39. 39.
    C.Q. Dai, G.Q. Zhou, J.F. Zhang, Phys. Rev. E 85, 016603 (2012)ADSCrossRefGoogle Scholar
  40. 40.
    C.Q. Dai, Y.Y. Wang, Q. Tian, J.F. Zhang, Ann. Phys. 327, 512 (2012)ADSCrossRefzbMATHGoogle Scholar
  41. 41.
    C.Q. Dai, Y.Y. Wang, J.F. Zhang, Opt. Express 18, 17548 (2010)CrossRefGoogle Scholar
  42. 42.
    T.L. Belyaeva, V.N. Serkin, Eur. Phys. J. D 66, 153 (2012)ADSCrossRefGoogle Scholar
  43. 43.
    V.N. Serkin, A. Hasegawa, T.L. Belyaeva, J. Mod. Opt. 60, 116 (2013)MathSciNetADSCrossRefGoogle Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Department of PhysicsAnna University, University College of EngineeringRamanathapuramIndia
  2. 2.Department of PhysicsHKRH CollegeUthamapalayam, TheniIndia
  3. 3.Department of PhysicsAnna UniversityChennaiIndia
  4. 4.Department of PhysicsPresidency CollegeChennaiIndia

Personalised recommendations