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IEEE Journal of Lightwave Technology
Volume 18 Number 8, August 2000

Table of Contents for this issue

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Linear Stability Analysis of Dispersion-Managed Solitons Controlled by Filters

Junichi Kumasako, Masayuki Matsumoto, Member, IEEE and Suttawassuntorn Waiyapot Student Member, IEEE

Page 1064.

Abstract:

We present a linear stability analysis of dispersion-managed (DM) solitons controlled by inline narrow-band filters. We show that the filters can destabilize the pulse if they are unsuitedly located in the dispersion map, which is contrary to the case of standard solitons in fibers with constant dispersion. We also show that for such an instability to take place the pulse energy and the dispersion-map strength should be significantly larger than those usually required for practical long-distance transmission. The filter-induced instability of DM solitons will be an issue in the operation of stretched-pulse mode-locked fiber lasers.

References

  1. J. P. Gordon, "Interaction forces among solitons in optical fibers", Opt. Lett., vol. 8, pp.  596-598, 1983.
  2. J. P. Gordon, and H. A. Haus, "Random walk of coherently amplified solitons in optical fiber transmission", Opt. Lett., vol. 11, pp. 665-667, 1986.
  3. 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., vol. 9, pp.  362-367, 1991.
  4. A. Mecozzi, J. D. Moores, H. A. Haus and Y. Lai, "Soliton transmission control", Opt. Lett., vol. 16, pp.  1841-1843, 1991.
  5. Y. Kodama and A. Hasegawa, "Generation of asymptotically stable optical solitons and suppression of the Gordon-Haus effect", Opt. Lett. , vol. 17, pp.  31-33, 1992.
  6. L. F. Mollenauer, J. P. Gordon and S. G. Evangelides, "The sliding-frequency guiding filter: An improved form of soliton jitter control", Opt. Lett., vol. 17, pp.  1575-1577, 1992.
  7. E. A. Golovchenko, J. M. Jacob, A. N. Pilipetskii, C. R. Menyuk and G. M. Carter, "Dispersion-managed solitons in a fiber loop with in-line filtering", Opt. Lett., vol. 22, pp.  289-291,  1997.
  8. G. M. Carter and J. M. Jacob, "Dynamics of solitons in filtered dispersion-managed systems", IEEE Photon. Technol. Lett., vol. 10, pp.  546 -548, 1998.
  9. M. Matsumoto, "Analysis of filter control of dispersion-managed soliton transmission", J. Opt. Soc. Amer. B, vol. 15, pp.  2831-2837, 1998.
  10. M. Matsumoto, "Instability of dispersion-managed solitons in a system with filtering", Opt. Lett., vol. 23, pp.  1901-1903,  1998.
  11. F. Merlaud and T. Georges, "Influence of filtering on jitter and amplitude fluctuations for dispersion managed solitons", in Proc. 24th Eur. Conf. Optical Commun. , 1998, Paper WdB22, pp.  497-498. 
  12. M. Matsumoto and S. Waiyapot, "Linear stability analysis of dispersion-managed solitons controlled by filters,"in Proc. Conf. Lasers and Electro-Optics, OSA Tech. Dig. , Washington, DC: Optical Society of America, 1999, p.  234. 
  13. S. Waiyapot and M. Matsumoto, "Stability analysis of dispersion-managed solitons controlled by synchronous amplitude modulators", IEEE Photon. Technol. Lett., vol. 11, Nov.  1999 .
  14. M. Matsumoto and H. A. Haus, "Stretched-pulse optical fiber communications", IEEE Photon. Technol. Lett., vol. 9, pp.  785 -787, 1997.
  15. M. Matsumoto, "Effects of guiding filters on stretched-pulse transmission in dispersion-managed fibres", Electron. Lett., vol. 33, pp.  1718-1720,  1997.
  16. M. Matsumoto and H. A. Haus, "Transmission of line-monitoring signals in stretched-pulse communication systems", in Proc. 23rd Eur. Conf. Optical Commun. , 1997, IEE Conf. Publ. 448, pp.  267-270. 
  17. O. K. Tonguz, "Impact of spontaneous emission noise on the sensitivity of direct-detection lightwave receivers using optical amplifiers", Electron. Lett., vol. 26, pp.  1343-1344, 1990.
  18. H. A. Haus, K. Tamura, L. E. Nelson and E. P. Ippen, "Stretched-pulse additive pulse mode-locking in fiber ring lasers: Theory and experiment", IEEE J. Quantum Electron., vol. 31, pp.  591-598, 1995.