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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 18, Iss. 9 — Sep. 1, 2001
  • pp: 1243–1251

Propagation of an optical pulse in a fiber link with random-dispersion management

Boris A. Malomed and Anders Berntson  »View Author Affiliations


JOSA B, Vol. 18, Issue 9, pp. 1243-1251 (2001)
http://dx.doi.org/10.1364/JOSAB.18.001243


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Abstract

A model of a long optical communication line consisting of alternating segments with anomalous and normal dispersion, whose lengths are picked randomly from a certain interval, is considered. As the first stage of the analysis, we calculate small changes in parameters of a quasi-Gaussian pulse passing a double-segment cell by means of the variational approximation (VA) and we approximate the evolution of the pulse passing many cells by smoothed ordinary differential equations with random coefficients, which are solved numerically. Next we perform systematic direct simulations of the model. Simulations reveal slow long-scale dynamics of the pulse, frequently in the form of long-period oscillations of its width. It is thus found that the soliton is most stable in the case of zero path-average dispersion (PAD), less stable in the case of anomalous PAD, and least stable in the case of normal PAD. The soliton’s stability also strongly depends on its energy, the soliton with low energy being much more robust than its high energy counterpart.

© 2001 Optical Society of America

OCIS Codes
(060.4370) Fiber optics and optical communications : Nonlinear optics, fibers
(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons
(190.4370) Nonlinear optics : Nonlinear optics, fibers
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons

Citation
Boris A. Malomed and Anders Berntson, "Propagation of an optical pulse in a fiber link with random-dispersion management," J. Opt. Soc. Am. B 18, 1243-1251 (2001)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-18-9-1243


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References

  1. M. Suzuki, I. Morita, N. Edagawa, S. Yamamoto, H. Taga, and S. Akiba, “Reduction of Gordon–Haus timing jitter by periodic dispersion compensation in soliton transmission,” Electron. Lett. 31, 2027–2029 (1995).
  2. M. Nakazawa and H. Kubota, “Optical soliton communication in a positively and negatively dispersion-allocated optical-fiber transmission-line,” Electron. Lett. 31, 216–217 (1995).
  3. N. J. Smith, F. M. Knox, N. J. Doran, K. J. Blow, and I. Bennion, “Enhanced power solitons in optical fibres with periodic dispersion management,” Electron. Lett. 32, 54–55 (1996).
  4. I. Gabitov and S. K. Turitsyn, “Averaged pulse dynamics in a cascaded transmission system with passive dispersion compensation,” Opt. Lett. 21, 327–329 (1996).
  5. T. Okamawari, Y. Ueda, A. Maruta, Y. Kodama, and A. Hasegawa, “Interaction between guiding centre solitons in a periodically dispersion compensated optical transmission line,” Electron. Lett 33, 1063–1065 (1997).
  6. G. M. Carter, J. M. Jacob, C. R. Menyuk, E. A. Golovchenko, and A. N. Pilipetskii, “Timing-jitter reduction for a dispersion-managed soliton system: experimental evidenced,” Opt. Lett. 22, 513–515 (1997).
  7. B. A. Malomed, F. Matera, and M. Settembre, “Reduction of the jitter for return-to-zero signal,” Opt. Commun. 143, 193–198 (1997).
  8. M. K. Chin and X. Y. Tang, “Quasi-stable soliton transmission in dispersion managed fiber links with lumped amplifiers,” IEEE Photonics Technol. Lett. 9, 538–540 (1997).
  9. A. Hasegawa, ed., New Trends in Optical Soliton Transmission Systems (Kluwer Academic, Dordrecht, 1998).
  10. A. Berntson, D. Anderson, M. Lisak, M. L. Quiroga-Teixeiro, and M. Karlsson, “Self-phase modulation in dispersion compensated optical fibre transmission systems,” Opt. Commun. 130, 153–162 (1996).
  11. I. Gabitov, E. G. Shapiro, and S. K. Turitsyn, “Optical pulse dynamics in fiber links with dispersion compensation,” Opt. Commun. 134, 317–329 (1997).
  12. B. A. Malomed, “Pulse propagation in a nonlinear optical fiber with periodically modulated dispersion: Variational approach,” Opt. Commun. 136, 313–319 (1997).
  13. T.-S. Yang and W. L. Kath, “Analysis of enhanced-power solitons in dispersion-managed optical fibers,” Opt. Lett. 22, 985–987 (1997).
  14. M. Matsumoto, “Theory of stretched-pulse transmission dispersion-managed fibers,” Opt. Lett. 22, 1238–1240 (1997).
  15. S. K. Turitsyn, I. Gabitov, E. W. Laedke, V. K. Mezentsev, S. L. Musher, E. G. Shapiro, T. Schäfer, and K. H. Spatschek, “Variational approach to optical pulse propagation in dispersion compensated transmission systems,” Opt. Commun. 151, 117–135 (1998).
  16. T. I. Lakoba, J. Yang, D. K. Kaup, and B. A. Malomed, “Conditions for stationary pulse propagation in the strong dispersion management regime,” Opt. Commun. 149, 366–375 (1998).
  17. A. Berntson, N. J. Doran, W. Forysiak, and J. H. B. Nijhof, “Power dependence of dispersion-managed solitons for anomalous, zero, and normal path-average dispersion,” Opt. Lett. 23, 900–902 (1998).
  18. S. K. Turitsyn, A. B. Aceves, C. K. R. T. Jones, and V. Zharnitsky, “Average dynamics of the optical soliton in communication lines with dispersion management: analytical results,” Phys. Rev. E 58, R48–R51 (1998).
  19. J. H. B. Nijhof, N. J. Doran, W. Forysiak, and F. M. Knox, “Stable soliton-like propagation in dispersion managed systems with net anomalous, zero and normal dispersion,” Electron. Lett. 33, 1726–1727 (1997).
  20. S. K. Turitsyn and E. G. Shapiro, “Dispersion-managed solitons in optical amplifier transmission systems with zero average dispersion,” Opt. Lett. 23, 682–684 (1998).
  21. J. N. Kutz and S. G. Evangelides, “Dispersion-managed breathers with average normal dispersion,” Opt. Lett. 23, 685–687 (1998).
  22. V. S. Grigoryan and C. R. Menyuck, “Dispersion-managed solitons at normal path-average dispersion,” Opt. Lett. 23, 609–611 (1997).
  23. B. A. Malomed and A. Berntson, “Propagation of a pulse in a fiber link with random dispersion management,” in Nonlinear Guided Waves and Their Applications, OSA Technical Digest (Optical Society of America, Washington, D.C., 1999) pp. 289–291.
  24. F. Kh. Abdullaev and B. B. Baizakov, “Disintegration of a soliton in a dispersion-managed optical communication line with random parameters,” Opt. Lett. 25, 93–95 (2000).
  25. D. Frantzeskakis, K. Hizanidis, B. A. Malomed, and H. E. Nistazakis, “Stabilizing soliton transmission by the third-order dispersion in long links with dispersion management,” Pure Appl. Opt. 7, L57–L62 (1998).
  26. T. I. Lakoba and G. P. Agrawal, “Effects of third-order dispersion on dispersion-managed solitons,” J. Opt. Soc. Am. B 16, 1332–1343 (1999).
  27. B. A. Malomed, “Jitter suppression by guiding filters in combination with dispersion management,” Opt. Lett. 23, 1250–1252 (1998).
  28. A. Berntson and B. A. Malomed, “Dispersion-management with filtering,” Opt. Lett. 24, 507–509 (1999).
  29. L. F. Mollenauer, P. V. Mamyshev, and J. P. Gordon, “Effect of guiding filters on the behavior of dispersion managed solitons,” Opt. Lett. 24, 220–222 (1999).
  30. T. Yu, E. A. Golovchenko, A. N. Pilipetskii, and C. R. Menyuck, “Dispersion-managed soliton interactions in optical fibers,” Opt. Lett. 22, 793–795 (1997).
  31. S. Kumar, M. Wald, and F. Lederer, “Soliton interaction in strongly dispersion-managed optical fibers,” Opt. Lett. 23, 1019–1021 (1998).
  32. M. Wald, B. Malomed, and F. Lederer, “Interaction of moderately dispersion managed solitons,” Opt. Commun. 172, 31–36 (1999).
  33. V. V. Konotop and L. Vázquez, Nonlinear Random Waves (World Scientific, Singapore, 1994).
  34. B. A. Malomed, D. F. Parker, and N. F. Smyth, “Resonant shape oscillations and decay of a soliton in periodically inhomogeneous nonlinear optical fiber,” Phys. Rev. E 48, 1418–1425 (1993).
  35. F. Kh. Abdullaev, J. Bronski, and G. C. Papanicolaou, “Soliton perturbations and the random Kepler problem,” Physica D 135, 369–386 (1999).
  36. G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, 1995).
  37. G. Iooss and D. D. Joseph, Elementary Stability and Bifurcation Theory (Springer, New York, 1990).
  38. R. Grimshaw, J. He, and B. A. Malomed, “Decay of a soliton in a periodically modulated nonlinear waveguide,” Phys. Scr. 53, 385–393 (1996).
  39. F. Kh. Abdullaev and J. C. Caputo, “Validation of the variational approach for chirped pulses in fibers with periodic dispersion,” Phys. Rev. E 58, 6637–6648 (1998).
  40. A. Bernston, D. Anderson, M. Lisak, and B. A. Malomed, “Slow-dynamics of dispersion-managed solitons,” in Nonlinear Guided Waves and Their Applications, OSA Technical Digest (Optical Society of America, Washington, D.C., 1999), pp. 286–288.

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