OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 16, Iss. 10 — Oct. 1, 1999
  • pp: 1628–1635

Collision-induced pulse timing jitter in a wavelength-division-multiplexing system with strong dispersion management

D. J. Kaup, B. A. Malomed, and J. Yang  »View Author Affiliations


JOSA B, Vol. 16, Issue 10, pp. 1628-1635 (1999)
http://dx.doi.org/10.1364/JOSAB.16.001628


View Full Text Article

Acrobat PDF (164 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We develop a perturbation theory to calculate analytically the effects of interchannel collisions on Gaussian pulses in a wavelength-division-multiplexed (WDM) system with moderate and strong dispersion management (DM). The losses are assumed to be balanced by the amplification and are not explicitly included into the model. We show that, for complete collisions, the collision-induced frequency shift of a Gaussian pulse is negligible, whereas for incomplete collisions (those with initially overlapped pulses) this shift is significant. We also show that, as the DM strength increases, the collision-induced position shift becomes more important than the frequency shift produced by the incomplete collision. Another result is that the collisional shifts depend on the DM strength and the path-average dispersion but not on the lengths of the two fiber segments in the DM cell. We check the fully analytical predictions against direct PDE simulations and find satisfactory agreement between them. We also give an estimate of the limit imposed on the transmission distance in the WDM soliton systems by the interchannel collisions.

© 1999 Optical Society of America

OCIS Codes
(060.0060) Fiber optics and optical communications : Fiber optics and optical communications
(060.2330) Fiber optics and optical communications : Fiber optics communications
(060.4230) Fiber optics and optical communications : Multiplexing
(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons

Citation
D. J. Kaup, B. A. Malomed, and J. Yang, "Collision-induced pulse timing jitter in a wavelength-division-multiplexing system with strong dispersion management," J. Opt. Soc. Am. B 16, 1628-1635 (1999)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-16-10-1628


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. F. M. Knox, W. Forysiak, and N. J. Doran, “10-Gbit/s soliton communication-systems over standard fiber at 1.55-μm and the use of dispersion compensation,” J. Lightwave Technol. 13, 1955–1962 (1995); 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); N. J. Smith and N. J. Doran, “Modulational instabilities in fibers with periodic dispersion management,” Opt. Lett. OPLEDP 21, 570–573 (1996); M. Nakazawa and H. Kubota, “Optical soliton communication in a positively and negatively dispersion-allocated optical-fiber transmission-line,” Electron. Lett. ELLEAK 31, 216–217 (1995); R. Grimshaw, J. He, and B. A. Malomed, “Decay of a fundamental soliton in a periodically modulated nonlinear wave guide,” Phys. Scr. PHSTBO 53, 385–393 (1996); N. J. Smith, F. M. Knox, N. J. Doran, K. J. Blow, and I. Bennion, “Enhanced power solitons in optical fibers with periodic dispersion management,” Electron. Lett. ELLEAK 32, 54–55 (1996); I. Morita, M. Suzuki, N. Edagawa, S. Yamamoto, H. Taga, and S. Akiba, “20-GB/s single-channel soliton transmission over 9000 km without in-line filters,” IEEE Photonics Technol. Lett. IPTLEL 8, 1573–1574 (1996); I. Gabitov and S. K. Turitsyn, “Averaged pulse dynamics in a cascaded transmission system with passive dispersion compensation,” Opt. Lett. OPLEDP 21, 327–330 (1996).
  2. L. F. Mollenauer, S. G. Evangelides, and J. P. Gordon, “Wavelength division multiplexing with solitons in ultra-long distance transmission using lumped amplifiers,” J. Lightwave Technol. 9, 362–367 (1991).
  3. N. Robinson, G. Davis, J. Fee, G. Grasso, P. Franco, A. Zuccala, A. Cavaciuti, M. Macchi, A. Schiffini, L. Bonato, and R. Corsini, “4×SONET OC-192 field installed dispersion managed soliton system over 450km of standard fiber in the 1550nm erbium band,” in Optical Fiber Communication Conference (OFC), Vol. 2 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), paper PD19.
  4. S. Wabnitz, “Stabilization of sliding-filtered soliton wavelength-division multiplexing transmissions by dispersion-compensating fibers,” Opt. Lett. 21, 638–641 (1996); S. Kumar, Y. Kodama, and A. Hasegawa, “Optimal dispersion management schemes for WDM soliton systems,” Electron. Lett. 33, 459–461 (1997); H. Sugahara, H. Kato, and Y. Kodama, “Maximum reductions of collision-induced frequency-shift in soliton-WDM systems with dispersion compensation,” Electron. Lett. ELLEAK 33, 1065–1066 (1997); J. F. L. Devaney, W. Forysiak, A. M. Niculae, and N. J. Doran, “Soliton collisions in dispersion-managed wavelength-division-multiplexed systems,” Opt. Lett. OPLEDP 22, 1695–1698 (1997).
  5. 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).
  6. Y. Kodama and A. Hasegawa, “Guiding-center soliton in fibers with periodically varying dispersion,” Opt. Lett. 16, 208–210 (1991).
  7. S. K. Turitsyn, “Breathing self-similar dynamics and oscillatory tails of the chirped dispersion-managed soliton,” Phys. Rev. E 58, R1256–R1259 (1998).
  8. M. J. Ablowitz and G. Biondini, “Multiscale pulse dynamics in communication systems with strong dispersion management,” Opt. Lett. 23, 1668–1671 (1998).
  9. 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, 900–903 (1998).
  10. B. A. Malomed, “Pulse-propagation in a nonlinear-optical fiber with periodically modulated dispersion—variational approach,” Opt. Commun. 136, 313–319 (1997); M. Matsumoto, “Theory of stretched-pulse transmission dispersion-managed fibers,” Opt. Lett. 22, 1238–1241 (1997); J. N. Kutz, P. Holmes, S. G. Evangelides, and J. P. Gordon, “Hamiltonian dynamics of dispersion-managed breathers,” J. Opt. Soc. Am. B JOBPDE 15, 87–96 (1998); 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 propagation in dispersion compensated transmission systems,” Opt. Commun. OPCOB8 151, 117–135 (1998).
  11. 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).
  12. D. K. Kaup, B. A. Malomed, and J. Yang, “Interchannel pulse collision in a wavelength-division-multiplexed system with strong dispersion management,” Opt. Lett. 23, 1600–1603 (1998).
  13. T. Hirooka and A. Hasegawa, “Chirped soliton interaction in strongly dispersion-managed wavelength-division-multiplexing systems,” Opt. Lett. 23, 768–771 (1998).
  14. H. Sugahara, T. Inoue, A. Maruta, and Y. Kodama, “Optical dispersion management for wavelength-division-multiplexed RZ optical pulse transmission,” Electron. Lett. 34, 902–904 (1998).
  15. M. J. Ablowitz, G. Biondini, S. Cjakravarty, and R. L. Horne, “On timing jitter in wavelength-division multiplexed soliton systems,” Opt. Commun. 150, 305–318 (1998).
  16. G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, Calif., 1995); A. Hasegawa and Y. Kodama, Solitons in Optical Communications (Oxford U. Press, Oxford, 1995).
  17. D. S. Govan, W. Forysiak, and N. J. Doran, “Long-distance 40-Gbit/s soliton transmission over standard fiber by use of dispersion management,” Opt. Lett. 23, 1523–1525 (1998).
  18. M. Wald, B. A. Malomed, and F. Lederer, “Interaction of moderately dispersion-managed solitons,” submitted to Opt. Lett.
  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); J. N. Kutz and S. G. Evangelides, “Dispersion-managed breathers with average normal dispersion,” Opt. Lett. 23, 685–687 (1998).
  21. H. Haus and Y. Chen, “Collisions in dispersion-managed soliton propagation,” Opt. Lett. (to be published).
  22. B. A. Malomed, F. Matera, and M. Settembre, “Reduction of the jitter for return-to-zero signals,” Opt. Commun. 143, 193–198 (1997).
  23. N. J. Smith, W. Forysiak, and N. J. Doran, “Reduced Gordon–Haus jitter due to enhanced power solitons in strongly dispersion managed systems,” Electron. Lett. 32, 2085–2086 (1996).
  24. B. A. Malomed, “Jitter suppression by fixed-frequency filters in combination with dispersion management,” Opt. Lett. 23, 1250–1252 (1998).
  25. S. S. Orlov, A. Yariv, and S. Van Essen, “Coupled-mode analysis of fiber-optic add–drop filters for dense wavelength-division multiplexing,” Opt. Lett. 22, 688–691 (1997); X. J. Gu, “Wavelength-division multiplexing isolation fiber filter and light source using cascaded long-period fiber gratings,” Opt. Lett. 23, 509–511 (1998).
  26. B. A. Malomed, G. D. Peng, and P. L. Chu, “Soliton wavelength-division-multiplexing system with channel-isolating notch filters,” Opt. Lett. (to be published).
  27. 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).

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  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited