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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry M. Van Driel
  • Vol. 24, Iss. 5 — May. 1, 2007
  • pp: 1160–1165

Interaction of solitons in a stabilized dispersion managed link

Saul S. Carroll and Javid Atai  »View Author Affiliations

JOSA B, Vol. 24, Issue 5, pp. 1160-1165 (2007)

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We investigate the interactions of dispersion managed (DM) solitons in a stabilized model where the stabilization is provided by coupling a lossy core to the system’s main fiber. It is found that interaction of solitons in this model is quite complex in that they can attract or repel, depending on the initial phase and initial separation of solitons. An important finding is that bound states of DM solitons exist in this model. It is also found that collision distance increases as the net average dispersion increases from normal to anomalous. In the case of D ¯ = + 0.1 , a region in the plane ( γ 0 , L ) has been identified where periodic bound states of two solitons exist.

© 2007 Optical Society of America

OCIS Codes
(060.0060) Fiber optics and optical communications : Fiber optics and optical communications
(060.4370) Fiber optics and optical communications : Nonlinear optics, fibers
(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons
(190.0190) Nonlinear optics : Nonlinear optics
(190.3270) Nonlinear optics : Kerr effect
(190.4370) Nonlinear optics : Nonlinear optics, fibers

ToC Category:
Nonlinear Optics

Original Manuscript: July 24, 2006
Revised Manuscript: December 27, 2006
Manuscript Accepted: December 31, 2006
Published: April 17, 2007

Saul S. Carroll and Javid Atai, "Interaction of solitons in a stabilized dispersion managed link," J. Opt. Soc. Am. B 24, 1160-1165 (2007)

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  1. B. A. Malomed, Soliton Management in Periodic Systems (Springer, 2006).
  2. M. Suzuki, I. Morita, N. Edagawa, S. Yamamoto, H. Haga, and S. Akiba, 'Reduction of Gordon-Haus timing jitter by periodic dispersion compensation in soliton transmission,' Electron. Lett. 31, 2027-2029 (1995). [CrossRef]
  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). [CrossRef]
  4. 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 evidence,' Opt. Lett. 22, 513-515 (1997). [CrossRef] [PubMed]
  5. M. Matsumoto, 'Effects of guiding filters on stretched-pulse transmission in dispersion-managed fibres,' Electron. Lett. 33, 1718-1720 (1997). [CrossRef]
  6. I. Gabitov, E. G. Shapiro, and S. K. Turitsyn, 'Optical pulse dynamics in fibre links with dispersion compensation,' Opt. Commun. 134, 317-329 (1997). [CrossRef]
  7. Y. Chen and J. Atai, 'Average dark soliton dynamics in periodically dispersion compensated fibre transmission systems,' IEEE Photon. Technol. Lett. 10, 1280-1282 (1998). [CrossRef]
  8. T. Yu, E. A. Golovchenko, A. N. Pilipetskii, and C. R. Menyuk, 'Dispersion-managed soliton interactions in optical fibers,' Opt. Lett. 22, 793-795 (1997). [CrossRef] [PubMed]
  9. T. Georges, 'Soliton interaction in dispersion-managed links,' J. Opt. Soc. Am. B 15, 1553-1560 (1998). [CrossRef]
  10. 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). [CrossRef]
  11. 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). [CrossRef]
  12. 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). [CrossRef]
  13. D. S. Govan, W. Forysiak, and N. J. Doran, 'Long-distance 40-Gbit/s soliton transmission over standard fibre by use of dispersion management,' Opt. Lett. 23, 1523-1525 (1998). [CrossRef]
  14. D. J. Kaup, B. A. Malomed, and J. Yang, 'Interchannel pulse collision in a wavelength-division-multiplexed system with strong dispersion management,' Opt. Lett. 23, 1600-1602 (1998). [CrossRef]
  15. A. N. Niculae, W. Forysiak, A. J. Gloag, J. H. B. Nijhof, and N. J. Doran, 'Soliton collisions with wavelength-division multiplexed systems with strong dispersion management,' Opt. Lett. 23, 1354-1356 (1998). [CrossRef]
  16. L. F. Mollenauer, J. P. Gordon, and M. N. Islam, 'Soliton propagation in long fibres with periodically compensated loss,' IEEE J. Quantum Electron. QE-22, 157-173 (1986). [CrossRef]
  17. J. P. Gordon and H. A. Haus, 'Random walk of coherently amplified solitons in optical fiber transmission,' Opt. Lett. 11, 665-667 (1986). [CrossRef] [PubMed]
  18. S. K. Turitsyn and E. G. Shapiro, 'Dispersion-managed soliton in optical amplifier transmission systems with zero average dispersion,' Opt. Lett. 23, 682-684 (1998). [CrossRef]
  19. J. N. Kutz and S. G. Evangelides, Jr., 'Dispersion managed breathers with average normal dispersion,' Opt. Lett. 23, 685-687 (1998). [CrossRef]
  20. V. S. Grigoryan and C. R. Menyuk, 'Dispersion-managed solitons at normal average dispersion,' Opt. Lett. 23, 609-611 (1998). [CrossRef]
  21. B. A. Malomed, 'Suppression of soliton jitter and interactions by means of dispersion management,' Opt. Commun. 147, 157-162 (1998). [CrossRef]
  22. H. A. Haus, Y. Lai, A. Mecozzi, and J. D. Moores, 'Soliton transmission control,' Opt. Lett. 16, 1841-1843 (1991). [CrossRef] [PubMed]
  23. Y. Kodama and A. Hasegawa, 'Generation of asymptotically stable optical solitons and suppression of the Gordon-Haus effect,' Opt. Lett. 17, 31-33 (1992). [CrossRef] [PubMed]
  24. M. Matsumoto, 'Analysis of filter control of dispersion-managed soliton transmission,' J. Opt. Soc. Am. B 15, 2831-2837 (1998). [CrossRef]
  25. M. Matsumoto, 'Instability of dispersion managed solitons in a system with filtering,' Opt. Lett. 23, 1901-1903 (1998). [CrossRef]
  26. 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). [CrossRef]
  27. A. Bernston and B. A. Malomed, 'Dispersion management with filtering,' Opt. Lett. 24, 507-509 (1999). [CrossRef]
  28. J. Atai and B. A. Malomed, 'Stabilized scheme for dispersion management,' J. Opt. Soc. Am. B 17, 1134-1139 (2000). [CrossRef]
  29. B. A. Malomed and H. G. Winful, 'Stable solitons in two-component active systems,' Phys. Rev. E 53, 5365-5368 (1996). [CrossRef]
  30. J. Atai and B. A. Malomed, 'Stability and interactions of solitons in two-component active systems,' Phys. Rev. E 54, 4371-4374 (1996). [CrossRef]
  31. J. Atai and B. A. Malomed, 'Exact stable pulses in asymmetric linearly coupled Ginzburg-Landau equations,' Phys. Lett. A 246, 412-422 (1998). [CrossRef]
  32. E. Efremidis, K. Hizanidis, B. A. Malomed, H. E. Nistazakis, and D. J. Frantzeskakis, 'Stable transmission of solitons in the region of normal dispersion,' J. Opt. Soc. Am. B 17, 952-958 (2000). [CrossRef]
  33. H. E. Nistazakis, D. J. Frantzeskakis, J. Atai, B. A. Malomed, E. Efremidis, and K. Hizanidis, 'Multichannel pulse dynamics in a stabilized Ginzburg-Landau system,' Phys. Rev. E 65, 036605 (2002). [CrossRef]
  34. G. P. Agrawal, Nonlinear Fibre Optics (Academic, 1995).
  35. A. Hasegawa and Y. Kodama, Solitons in Optical Communications (Oxford U. Press, 1995).
  36. C. Kurtze, 'Suppression of fiber nonlinearities by appropriate dispersion management,' IEEE Photon. Technol. Lett. 5, 1250-1253 (1993). [CrossRef]
  37. J. Atai and B. A. Malomed, 'Bound states of solitary pulses in linearly couples Ginzburg-Landau equations,' Phys. Lett. A 244, 551-556 (1998). [CrossRef]
  38. S. Wabnitz and E. Westin, 'Optical fiber soliton bound states and interaction suppression with high-order filtering,' Opt. Lett. 21, 1235-1237 (1996). [CrossRef] [PubMed]
  39. N. Akhmediev, F. Zen, and P. L. Chu, 'Pulse-pulse interaction in dispersion managed fiber systems with nonlinear amplifiers,' Opt. Commun. 201, 217-221 (2002). [CrossRef]
  40. B. Feng and B. A. Malomed, 'Bound states of solitons between close wavelength-separated channels in a dispersion-managed fiber-optic link,' Opt. Commun. 219, 143-156 (2003). [CrossRef]

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