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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 19, Iss. 2 — Feb. 1, 2002
  • pp: 190–197

Notch filters in soliton communications systems: a comparison

Andrew Docherty, Pak L. Chu, and Boris A. Malomed  »View Author Affiliations

JOSA B, Vol. 19, Issue 2, pp. 190-197 (2002)

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A detailed analysis of the dynamics of classical (sech) and dispersion-managed solitons is developed for a channel guided by filters of different types, with emphasis on comparison of results produced by etalon and notch filters. By means of analytical approximations, based on balance equations for the soliton’s energy and momentum, we demonstrate that finite-width notch filters can be as efficient as etalon filters, and attainable filter efficiency is higher for dispersion-managed solitons than for classical solitons. We also show that values for filter parameters can be found that maximize the filter’s restoring force.

© 2002 Optical Society of America

OCIS Codes
(060.2310) Fiber optics and optical communications : Fiber optics
(060.2340) Fiber optics and optical communications : Fiber optics components
(060.4510) Fiber optics and optical communications : Optical communications
(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

Andrew Docherty, Pak L. Chu, and Boris A. Malomed, "Notch filters in soliton communications systems: a comparison," J. Opt. Soc. Am. B 19, 190-197 (2002)

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  1. E. A. Golovchenko, A. N. Pilipetskii, and C. R. Menyuk, “Collision-induced timing jitter reduction by periodic dispersion management in soliton wavelength-division-multiplexed transmission,” Electron. Lett. 33, 735–737 (1997). [CrossRef]
  2. P. V. Mamyshev and L. F. Mollenauer, “Soliton collisions in wavelength-division-multiplexed dispersion-managed systems,” Opt. Lett. 24, 448–450 (1999). [CrossRef]
  3. A. M. Niculae, W. Forysiak, A. 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]
  4. H. Sugahara, H. Kato, and Y. Kodama, “Maximum reductions of collision induced frequency shift in soliton wavelength-division-multiplexed systems with dispersion compensation,” Electron. Lett. 33, 1065–1066 (1997). [CrossRef]
  5. D. J. Kaup, B. Malomed, and J. Yang, “Interchannel pulse collision in a wavelength-division-multiplexed system with strong dispersion management,” Opt. Lett. 23, 1600–1602 (1998). [CrossRef]
  6. S. Wabnitz, “Role of the filter spectral profile in the control of soliton transmissions,” Opt. Commun. 130, 89–96 (1996). [CrossRef]
  7. S. Wabnitz, “Stabilization of sliding-filter soliton wavelength-division-multiplexed transmissions by dispersion compensating fibers,” Opt. Lett. 21, 638–640 (1996). [CrossRef] [PubMed]
  8. Y. Chen and H. A. Haus, “Collisions in dispersion-managed soliton propagation,” Opt. Lett. 24, 217–219 (1999). [CrossRef]
  9. L. F. Mollenauer, J. Gordon, and S. Evangelides, “The sliding-frequency guiding filter: an improved form of soliton jitter control,” Opt. Lett. 17, 1575–1577 (1992). [CrossRef] [PubMed]
  10. M. Hanna, H. Porte, J.-P. Goedgebuer, and W. T. Rhodes, “Soliton optical phase control by use of in-line filters,” Opt. Lett. 24, 732–734 (1999). [CrossRef]
  11. A. Mecozzi, “Soliton transmission control by Butterworth filters,” Opt. Lett. 20, 1859–1861 (1995). [CrossRef] [PubMed]
  12. 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]
  13. P. V. Mamyshev and L. F. Mollenauer, “Wavelength-division-multiplexing channel energy self-equalization in a soliton transmission line by guiding filters,” Opt. Lett. 21, 1658–1660 (1996). [CrossRef] [PubMed]
  14. A. Berntson and B. A. Malomed, “Dispersion management with filtering,” Opt. Lett. 24, 507–509 (1999). [CrossRef]
  15. 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]
  16. M. Matsumoto, “Analysis of filter control of dispersion-managed soliton transmission,” J. Opt. Soc. Am. B 15, 2831–2837 (1998). [CrossRef]
  17. M. Matsumoto, “Instability of dispersion-managed solitons in a system with filtering,” Opt. Lett. 23, 1901–1903 (1998). [CrossRef]
  18. B. Malomed, G. D. Peng, and P. L. Chu, “Soliton wavelength-division multiplexing system with channel-isolating notch filters,” Opt. Lett. 24, 1100–1102 (1999). [CrossRef]
  19. B. A. Malomed, A. Docherty, P. L. Chu, and G. D. Peng, “Dense wavelength-division-multiplexed soliton systems using channel-isolating notch filters (soliton rail),” in Massive Wavelength-Division-Multiplexed and Time-Division-Multiplexed soliton transmission systems, A. Hasegawa, ed. (Kluwer Academic, Boston, 2000); pp. 411–424.
  20. S. Orlov, A. Yariv, and S. V. Essen, “Coupled-mode analysis of fiber-optic add-drop filters for dense wavelength division multiplexing,” Opt. Lett. 22, 688–690 (1997). [CrossRef] [PubMed]
  21. X. J. Gu, “Wavelength-division-multiplexed isolation fiber filter and light source using cascading long-period fiber gratings,” Opt. Lett. 23, 509–511 (1998). [CrossRef]
  22. M. J. Ablowitz, G. Biondini, S. Chakravarty, and R. Horne, “A comparison between lumped and distributed filter models in wavelength-division multiplexed soliton systems,” Opt. Commun. 172, 211–227 (1999). [CrossRef]
  23. T. I. 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]
  24. M. J. Ablowitz and G. Biondini, “Multiscale pulse dynamics in communication systems with strong dispersion management,” Opt. Lett. 23, 1668–1670 (1998) [CrossRef]
  25. T. S. Yang and W. L. Kath, “Analysis of enhanced-power solitons in dispersion-managed optical fibers,” Opt. Lett. 22, 985–987 (1997). [CrossRef] [PubMed]
  26. V. Zharnitsky, E. Grenier, S. K. Turitsyn, C. Jones, and J. S. Hesthaven, “Ground states of dispersion-managed nonlinear Schrodinger equation,” Phys. Rev. E 62, 7358–7364 (2000). [CrossRef]
  27. J. 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]
  28. K. J. Blow, N. J. Doran, and D. Wood, “Suppression of the soliton self-frequency shift by bandwidth-limited amplification,” J. Opt. Soc. Am. B 5, 1301–1304 (1988). [CrossRef]

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