OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry van Driel
  • Vol. 27, Iss. 4 — Apr. 1, 2010
  • pp: 844–851

Interactions between dispersion-managed solitons with unequal powers

Oren Istrin and Boris A. Malomed  »View Author Affiliations

JOSA B, Vol. 27, Issue 4, pp. 844-851 (2010)

View Full Text Article

Enhanced HTML    Acrobat PDF (577 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We revisit the problem of intrachannel interactions between solitons in dispersion-managed nonlinear fiber links, which is a major limiting factor for the use of solitons in fiber-optic networks. By means of systematic simulations, we demonstrate the existence of a well-defined maximum of the interaction length, z int , as a function of the ratio of peak powers of interacting solitons, while in the case of identical solitons the interaction length always attains a minimum. An explanation to these features is proposed. Interaction effects in three-soliton sets are studied too. The results suggest that the transmission characteristics of soliton streams in the dispersion-managed system may be improved by using alternating values of the peak powers whose ratio corresponds to the maximum of z int .

© 2010 Optical Society of America

OCIS Codes
(060.2310) Fiber optics and optical communications : Fiber optics
(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons
(260.2030) Physical optics : Dispersion

ToC Category:
Fiber Optics and Optical Communications

Original Manuscript: November 30, 2009
Revised Manuscript: February 10, 2010
Manuscript Accepted: March 2, 2010
Published: March 31, 2010

Oren Istrin and Boris A. Malomed, "Interactions between dispersion-managed solitons with unequal powers," J. Opt. Soc. Am. B 27, 844-851 (2010)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. 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]
  2. N. J. Smith, N. J. Doran, W. Forysiak, and F. M. Knox, “Soliton transmission using periodic dispersion compensation,” J. Lightwave Technol. 15, 1808-1822 (1997). [CrossRef]
  3. 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]
  4. J. H. B. Nijhof, N. J. Doran, W. Forysiak, and A. Berntson, “Energy enhancement of dispersion-managed solitons and WDM,” Electron. Lett. 34, 481-482 (1998). [CrossRef]
  5. S. K. Turitsyn, E. G. Shapiro, S. B. Medvedev, M. P. Fedoruk, and V. K. Mezentsev, “Physics and mathematics of dispersion-managed optical solitons,” Comptes Rendue Physique 4, 145-161 (2003). [CrossRef]
  6. B. A. Malomed, Soliton Management in Periodic Systems (Springer, 2006).
  7. S. Kumar and F. Lederer, “Gordon-Haus effect in dispersion-managed soliton systems,” Opt. Lett. 22, 1870-1872 (1997). [CrossRef]
  8. T. Okamawari, A. Maruta, and Y. Kodama, “Analysis of Gordon-Haus jitter in a dispersion-compensated optical transmission system,” Opt. Lett. 23, 694-696 (1998). [CrossRef]
  9. B. A. Malomed, “Jitter suppression by guiding filters in combination with dispersion management,” Opt. Lett. 23, 1250-1252 (1998). [CrossRef]
  10. E. A. Golovchenko, A. N. Pilipetskii, and C. R. Menyuk, “Collision-induced timing jitter reduction by periodic dispersion management in soliton WDM transmission,” Electron. Lett. 33, 735-737 (1997). [CrossRef]
  11. A. M. 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]
  12. T. Hirooka and A. Hasegawa, “Chirped soliton interaction in strongly dispersion-managed wavelength-division-multiplexing systems,” Opt. Lett. 23, 768-770 (1998). [CrossRef]
  13. 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]
  14. H. Sugahara, H. Kato, T. Inoue, A. Maruta, and Y. Kodama, “Optimal dispersion management for a wavelength division multiplexed optical soliton transmission system,” J. Lightwave Technol. 17, 1547-1559 (1999). [CrossRef]
  15. Y. Chen and H. A. Haus, “Collisions in dispersion-managed soliton propagation,” Opt. Lett. 24, 217-219 (1999). [CrossRef]
  16. P. V. Mamyshev and L. F. Mollenauer, “Soliton collisions in wavelength-division-multiplexed dispersion-managed systems,” Opt. Lett. 24, 448-450 (1999). [CrossRef]
  17. M. Wald, B. A. Malomed, and F. Lederer, “Interaction of dispersion-managed solitons in wavelength-division-multiplexed optical transmission lines,” Opt. Lett. 26, 965-967 (2001). [CrossRef]
  18. M. J. Ablowitz, G. Biondini, and E. S. Olson, “Incomplete collisions of wavelength-division multiplexed dispersion-managed solitons,” J. Opt. Soc. Am. B 18, 577-583 (2001). [CrossRef]
  19. Y. Cai, T. Adali, C. R. Menyuk, and J. M. Morris, “Sliding window criterion codes and concatenation scheme for mitigating timing-jitter-induced errors in WDM fiber transmissions,” J. Lightwave Technol. 20, 201-212 (2002). [CrossRef]
  20. H. E. Nistazakis, D. J. Frantzeskakis, J. Atai, B. A. Malomed, N. Efremidis, and K. Hizanidis, “Multichannel pulse dynamics in a stabilized Ginzburg-Landau system,” Phys. Rev. E 65, 036605 (2002). [CrossRef]
  21. X. Liu, X. Wei, L. F. Mollenauer, C. J. McKinstrie, and C. J. Xie, “Collision-induced time shift of a dispersion-managed soliton and its minimization in wavelength-division-multiplexed transmission,” Opt. Lett. 28, 1412-1414 (2003). [CrossRef] [PubMed]
  22. O. V. Sinkin, V. S. Grigoryan, J. Zweck, C. R. Menyuk, A. Docherty, and M. J. Ablowitz, “Calculation, characterization, and application of the time shift function in wavelength-division-multiplexed return-to-zero systems,” Opt. Lett. 30, 2056-2058 (2005). [CrossRef] [PubMed]
  23. 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]
  24. 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]
  25. T. Georges, “Soliton interaction in dispersion-managed links,” J. Opt. Soc. Am. B 15, 1553-1560 (1998). [CrossRef]
  26. S. Kumar, M. Wald, F. Lederer, and A. Hasegawa, “Soliton interaction in strongly dispersion-managed optical fibers,” Opt. Lett. 23, 1019-1021 (1998). [CrossRef]
  27. M. Matsumoto, “Analysis of interaction between stretched pulses propagating in dispersion-managed fibers,” IEEE Photonics Technol. Lett. 10, 373-375 (1998). [CrossRef]
  28. M. Zitelli, F. Matera, and M. Settembre, “Single-channel transmission in dispersion management links in conditions of very strong pulse broadening: application to 40 Gb/s signals on step-index fibers,” J. Lightwave Technol. 17, 2498-2505 (1999). [CrossRef]
  29. M. Wald, B. Malomed, and F. Lederer, “Interaction of moderately dispersion managed solitons,” Opt. Commun. 172, 31-36 (1999). [CrossRef]
  30. S. Wabnitz and F. Neddam, “Pulse interactions and collisions in asymmetric higher-order dispersion managed fiber link,” Opt. Commun. 183, 395-405 (2000). [CrossRef]
  31. O. V. Sinkin, J. Zweck, and C. R. Menyuk, “Comparative study of pulse interactions in optical fiber transmission systems with different modulation formats,” Opt. Express 9, 339-352 (2001). [CrossRef] [PubMed]
  32. R. Holzlohner, H. N. Ereifej, V. S. Grigoryan, G. M. Carter, and C. R. Menyuk, “Experimental and theoretical characterization of a 40-Gb/s long-haul single-channel transmission system,” J. Lightwave Technol. 20, 1124-1131 (2002). [CrossRef]
  33. R. M. Mu and C. R. Menyuk, “Convergence of the chirped return-to-zero and dispersion managed soliton modulation formats in WDM systems,” J. Lightwave Technol. 20, 608-617 (2002). [CrossRef]
  34. A. Del Duce, R. I. Killey, and P. Bayvel, “Comparison of nonlinear pulse interactions in 160-Gb/s quasi-linear and dispersion managed soliton systems,” J. Lightwave Technol. 22, 1263-1271 (2004). [CrossRef]
  35. M. Wald, I. M. Uzunov, F. Lederer, and S. Wabnitz, “Optimization of soliton transmissions in dispersion-managed fiber links,” Opt. Commun. 145, 48-52 (1998). [CrossRef]
  36. B. A. Malomed, “Suppression of soliton jitter and interactions by means of dispersion management,” Opt. Commun. 147, 157-162 (1998). [CrossRef]
  37. I. Morita, K. Tanaka, N. Edagawa, and M. Suzuki, “40 Gb/s single-channel soliton transmission over transoceanic distances by reducing Gordon-Haus timing jitter and soliton-soliton interaction,” J. Lightwave Technol. 17, 2506-2511 (1999). [CrossRef]
  38. T. I. Lakoba and G. P. Agrawal, “Optimization of the average-dispersion range for long-haul dispersion-managed soliton systems,” J. Lightwave Technol. 18, 1504-1512 (2000). [CrossRef]
  39. A. Tonello, A. D. Capobianco, S. Wabnitz, and S. K. Turitsyn, “Tuning of in-line filter position for dispersion-managed soliton transmission,” Opt. Commun. 175, 103-108 (2000). [CrossRef]
  40. T. Hirooka and S. Wabnitz, “Nonlinear gain control of dispersion-managed soliton amplitude and collisions,” Opt. Fiber Technol. 6, 109-121 (2000). [CrossRef]
  41. T. Inoue, H. Sugahara, A. Maruta, and Y. Kodama, “Interactions between dispersion managed solitons in optical-time-division-multiplexed system,” IEEE Photonics Technol. Lett. 12, 299-301 (2000). [CrossRef]
  42. H. Murai, H. T. Yamada, and K. Fujii, “Analysis and experiment on soliton-based WDM transmission employing initial phase alternation with OTDM techniques,” IEICE Trans. Communications E 85B, 438-445 (2002).
  43. V. Pechenkin and F. R. Kschischang, “Higher bit rates for dispersion-managed soliton communication systems via constrained coding,” J. Lightwave Technol. 24, 1149-1158 (2006). [CrossRef]
  44. P. L. Chu and C. Desem, “Mutual interaction between solitons of unequal amplitudes in optical fiber,” Electron. Lett. 21, 1133-1134 (1985). [CrossRef]
  45. V. V. Afanasjev and V. A. Vysloukh, “Interaction of initially overlapping solitons with different frequencies,” J. Opt. Soc. Am. B 11, 2385-2393 (1994). [CrossRef]
  46. A. Berntson, D. Anderson, and M. Lisak, “Analysis of coherent and incoherent interactions of amplitude shifted solitons in optical fibers,” Phys. Scr. 52, 544-553 (1995). [CrossRef]
  47. A. Mostofi and P. L. Chu, “Reversal of soliton interactions in optically phase-conjugated systems with unequal-amplitude and alternating-phase solitons,” Opt. Commun. 141, 259-264 (1997). [CrossRef]
  48. E. M. Gromov and V. I. Talanov, “Short optical solitons in fibers,” Chaos 10, 551-558 (2000). [CrossRef]
  49. I. M. Uzunov, V. D. Stoev, and T. I. Tzoleva, “N-soliton interaction in trains of unequal pulses in optical fibers,” Opt. Lett. 17, 1417-1419 (1992). [CrossRef] [PubMed]
  50. I. M. Uzunov, V. D. Stoev, and T. I. Tzoleva, “Influence of the initial phase difference between pulses in the N-soliton interaction in trains of unequal solitons in optical fibers,” Opt. Commun. 97, 307-311 (1993). [CrossRef]
  51. A. D. Boardman, H. M. Mehta, A. K. Sangarpaul, R. Putman, and K. Xie, “Interactions in bright N-soliton trains propagating in birefringent optical fibers,” Opt. Commun. 116, 208-218 (1995). [CrossRef]
  52. V. S. Dimitrov, D. Y. Dakova, and I. M. Uzunov, “On the description of interaction in sequences of unequal soliton-like pulses,” Opt. Quantum Electron. 28, 1765-1771 (1996). [CrossRef]
  53. R. Ganapathy, K. Porsezian, A. Hasegawa, and V. N. Serkin, “Soliton interaction under soliton dispersion management,” IEEE J. Quantum Electron. 44, 383-390 (2008). [CrossRef]
  54. J. Scheuer and M. Orenstein, “All-optical gates facilitated by soliton interactions in a multilayered Kerr medium,” J. Opt. Soc. Am. B 22, 1260-1267 (2005). [CrossRef]
  55. T. Lakoba, J. Yang, D. J. Kaup, and B. A. Malomed, “Conditions for stationary pulse propagation in the strong dispersion management regime,” Opt. Commun. 149, 366-375 (1998). [CrossRef]
  56. H. B. Nijhof, W. Forysiak, and N. J. Doran, “The averaging method for finding exactly periodic dispersion-managed solitons,” IEEE J. Sel. Top. Quantum Electron. 6, 330-336 (2000). [CrossRef]
  57. O. V. Sinkin, R. Holzlohner, J. Zweck, and C. R. Menyuk, “Optimization of the split-step Fourier method in modeling optical-fiber communications systems,” J. Lightwave Technol. 21, 61-68 (2003). [CrossRef]
  58. P. Y. P. Chen, P. L. Chu, and B. A. Malomed, “An iterative numerical method for dispersion managed solitons,” Opt. Commun. 245, 425-435 (2005). [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.

« Previous Article

OSA is a member of CrossRef.

CrossCheck Deposited