OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 21, Iss. 11 — Nov. 1, 2004
  • pp: 1913–1918

Oscillating tails of a dispersion-managed soliton

Pavel M. Lushnikov  »View Author Affiliations

JOSA B, Vol. 21, Issue 11, pp. 1913-1918 (2004)

View Full Text Article

Enhanced HTML    Acrobat PDF (167 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Oscillating tails of a dispersion-managed optical fiber system are studied for a strong dispersion map in the framework of a path-averaged Gabitov–Turitsyn equation. The small parameter of the analytical theory is the inverse time. An exponential decay in time of a soliton tail envelope is consistent with nonlocal nonlinearity of the Gabitov–Turitsyn equation, and the fast oscillations are described by a quadratic law. The preexponential modification factor is the linear function of time for zero average dispersion and a cubic function for nonzero average dispersion.

© 2004 Optical Society of America

OCIS Codes
(060.2330) Fiber optics and optical communications : Fiber optics communications
(060.4370) Fiber optics and optical communications : Nonlinear optics, fibers
(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(260.2030) Physical optics : Dispersion

Pavel M. Lushnikov, "Oscillating tails of a dispersion-managed soliton," J. Opt. Soc. Am. B 21, 1913-1918 (2004)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. C. Lin, H. Kogelnik, and L. G. Cohen, “Optical-pulse equalization of low-dispersion transmission in single-mode fibers in the 1.3–1.7-μm spectral region,” Opt. Lett. 5, 476–478 (1980). [CrossRef] [PubMed]
  2. C. Kurtzke, “Suppression of fiber nonlinearities by appropriate dispersion management,” IEEE Photonics Technol. Lett. 5, 1250–1253 (1993). [CrossRef]
  3. A. R. Chraplyvy, A. H. Gnauck, R. W. Tkach, and R. M. Derosier, “8×10 Gb/s transmission through 280 km of dispersion-managed fiber,” IEEE Photonics Technol. Lett. 5, 1233–1235 (1993). [CrossRef]
  4. N. J. Smith, F. M. Knox, N. J. Doran, K. J. Blow, and I. Bennion, “Enhanced power solitons in optical fiber transmission line,” Electron. Lett. 32, 54–55 (1996). [CrossRef]
  5. I. Gabitov and S. K. Turitsyn, “Averaged pulse dynamics in a cascaded transmission system with passive dispersion compensation,” Opt. Lett. 21, 327–329 (1996). [CrossRef]
  6. I. Gabitov and S. K. Turitsyn, “Breathing solitons in optical fiber links,” JETP Lett. 63, 861–866 (1996). [CrossRef]
  7. S. Kumar and A. Hasegawa, “Quasi-soliton propagation in dispersion-managed optical fibers,” Opt. Lett. 22, 372–374 (1997). [CrossRef] [PubMed]
  8. T. Lakoba and D. J. Kaup, “Shape of the stationary pulse in the strong dispersion management regime,” Electron. Lett. 34, 1124–1125 (1998). [CrossRef]
  9. P. V. Mamyshev and N. A. Mamysheva, “Pulse-overlapped dispersion-managed data transmission and intrachannel four-wave mixing,” Opt. Lett. 24, 1454–1456 (1999). [CrossRef]
  10. L. F. Mollenauer, P. V. Mamyshev, J. Gripp, M. J. Neubelt, N. Mamysheva, L. Grüner-Nielsen, and T. Veng, “Demonstration of massive wavelength-division multiplexing over transoceanic distances by use of dispersion-managed solitons,” Opt. Lett. 25, 704–706 (2000). [CrossRef]
  11. S. K. Turitsyn, T. Schäfer, N. J. Doran, K. H. Spatschek, and V. K. Mezentsev, “Pathaveraged chirped optical soliton in dispersion-managed fiber communication lines,” Opt. Commun. 163, 122–158 (1999). [CrossRef]
  12. S. B. Medvedev, O. V. Shtyrina, S. L. Musher, and M. P. Fedoruk, “Path-averaged optical soliton in double-periodic dispersion-managed systems,” Phys. Rev. E 66, 066607 (2002). [CrossRef]
  13. A. Gajadharsingh and P.-A. Bélanger, “Dispersion-managed solitons as the interference of chirped complex conjugate pulses,” in Nonlinear Guided Waves and their Applications, 2004 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 2004), paper MC7.
  14. B. Biotteau, J. P. Hamaide, F. Pitel, O. Audoin, P. Nouchi, and P. Sansonetti, “Enhancement of soliton system performance by use of new large effective area fibres,” Electron. Lett. 31, 2026–2027 (1995).
  15. C. Weinstein, “Fiber design improves long-haul performance,” Laser Focus World 33, 215 (1997).
  16. C. Paré, A. Villeneuve, P.-A. Bélanger, and N. J. Doran, “Compensating for dispersion and the nonlinear Kerr effect without phase conjugation,” Opt. Lett. 21, 459–461 (1996). [CrossRef] [PubMed]
  17. I. R. Gabitov and P. M. Lushnikov, “Nonlinearity management in a dispersion-managed system,” Opt. Lett. 27, 113–115 (2002). [CrossRef]
  18. L. F. Mollenauer, A. Grant, X. Liu, X. Wei, C. Xie, and I. Kang, “Experimental test of dense wavelength-division multiplexing using novel, periodic-group-delay-complemented dispersion compensation and dispersion-managed solitons,” Opt. Lett. 28, 2043–2045 (2003). [CrossRef] [PubMed]
  19. X. Wei, X. Liu, C. Xie, and L. F. Mollenauer, “Reduction of collision-induced timing jitter in dense wavelength-division multiplexing by the use of periodic-group-delay dispersion compensators,” Opt. Lett. 28, 983–985 (2003). [CrossRef] [PubMed]
  20. M. J. Ablowitz and G. Biondini, “Multiscale pulse dynamics in communication systems with strong dispersion management,” Opt. Lett. 23, 1668–1670 (1998). [CrossRef]
  21. P. M. Lushnikov, “Dispersion-managed soliton in optical fibers with zero average dispersion,” Opt. Lett. 25, 1144–1146 (2000). [CrossRef]
  22. P. M. Lushnikov, “On the boundary of the dispersion-managed soliton existence,” JETP Lett. 72, 111–114 (2000). [CrossRef]
  23. D. E. Pelinovsky, “Instabilities of dispersion-managed solitons in the normal dispersion regime,” Phys. Rev. E 62, 4283–4293 (2000). [CrossRef]
  24. V. Zharnitsky, E. Grenier, C. K. R. T. Jones, and S. K. Turitsyn, “Stabilizing effects of dispersion management,” Physica D 152, 794–817 (2001). [CrossRef]
  25. D. E. Pelinovsky and V. Zharnitsky, “Averaging of dispersion-managed solitons: existence and stability,” SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 63, 745–776 (2003). [CrossRef]
  26. M. Kunze, “The singular perturbation limit of a variational problem from nonlinear fiber optics,” Physica D 180, 108–114 (2003). [CrossRef]
  27. P. M. Lushnikov, “Dispersion-managed soliton in a strong dispersion map limit,” Opt. Lett. 26, 1535–1537 (2001). [CrossRef]
  28. P. M. Lushnikov, “Fully parallel algorithm for simulating wavelength-division-multiplexed optical fiber systems,” Opt. Lett. 27, 939–941 (2002). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1 Fig. 2 Fig. 3

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited