OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 21, Iss. 4 — Apr. 1, 2004
  • pp: 719–728

Stabilization of solitons against timing jitter and collisions by notch filters in multichannel fiber-optic links

Peter Y. P. Chen, Boris A. Malomed, and Pak L. Chu  »View Author Affiliations


JOSA B, Vol. 21, Issue 4, pp. 719-728 (2004)
http://dx.doi.org/10.1364/JOSAB.21.000719


View Full Text Article

Enhanced HTML    Acrobat PDF (268 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We report the results of a detailed numerical analysis of stabilization provided by lumped notch filters against basic degradation factors in dense-wavelength-division-multiplexed (DWDM) soliton systems, which include the noise-induced timing jitter (Gordon–Haus effect), intrachannel interactions between solitons, and cross-talk effects due to interchannel soliton–soliton collisions, in the form of temporal shifts and loss of energy to the formation of shadows in the other channel. The filtering profile is a couple of rectangular notches that bound the transmission channel in the frequency domain. For typical values of parameters relevant to the DWDM systems, we show that the stabilization is quite efficient. The version of the model with distributed notch filtering also has a different realization in terms of spatial solitons in a planar waveguide equipped with a longitudinal grating.

© 2004 Optical Society of America

OCIS Codes
(060.2340) Fiber optics and optical communications : Fiber optics components
(060.4230) Fiber optics and optical communications : Multiplexing
(060.4370) Fiber optics and optical communications : Nonlinear optics, fibers
(060.4510) Fiber optics and optical communications : Optical communications
(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons

Citation
Peter Y. P. Chen, Boris A. Malomed, and Pak L. Chu, "Stabilization of solitons against timing jitter and collisions by notch filters in multichannel fiber-optic links," J. Opt. Soc. Am. B 21, 719-728 (2004)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-21-4-719


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. P. S. Kaler and T. S. Kamel, “Simulation results for DWDM systems with ultra-high capacity,” Fiber Integr. Opt. 21, 361–369 (2002). [CrossRef]
  2. G. P. Agrawal, Fiber-Optics Communication Systems (Wiley, New York, 1997).
  3. E. Iannone, F. Matera, A. Mecozzi, and M. Settembre, Nonlinear Optical Communication Networks (Wiley, New York, 1998).
  4. 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]
  5. I. Morita, T. Tsuritani, and N. Edagawa, “Experimental study on optically band-limited 40-Gb/s RZ signals with optically time-division demultiplexing receiver,” J. Lightwave Technol. 20, 2182–2188 (2002). [CrossRef]
  6. I. T. Lima, A. O. Lima, J. Zweck, and C. R. Menyuk, “Performance-characterization of chirped return-to-zero modulation format using an accurate receiver model,” IEEE Photon. Technol. Lett. 15, 608–610 (2003). [CrossRef]
  7. R. Driben, B. A. Malomed, M. Gutin, and U. Mahlab, “Implementation of nonlinearity management for Gaussian pulses in a fiber-optic link by means of second-harmonic-generating modules,” Opt. Commun. 218, 93–104 (2003). [CrossRef]
  8. C. Xu, X. Liu, L. F. Mollenauer, and X. Wei, “Comparison of return-to-zero differential phase-shift keying and on-off keying in long-haul dispersion managed transmission,” IEEE Photon. Technol. Lett. 15, 617–619 (2003). [CrossRef]
  9. K. Sekiya, T. Ito, H. Sugahara, K. Fukuchi, R. Ohira, and T. Ono, “Flexible 40 Gbit/s WDM transmission beyond 1000 km enabled by 195μm2 Aeff PSCF and AC-RZ signal format,” Electron. Lett. 39, 386–388 (2003). [CrossRef]
  10. T. Ohara, H. Takara, A. Hirano, K. Mori, and S. Kawanishi, “S40-Gb/s×4-channel all-optical multichannel limiter utilizing spectrally filtered optical solitons,” IEEE Photon. Technol. Lett. 15, 763–765 (2003). [CrossRef]
  11. J. McEntee, “Solitons go the distance in ultralong-haul DWDM,” FibreSyst. Eur., Jan. 19–21 (2003).
  12. P. V. Mamyshev and L. F. Mollenauer, “Soliton collisions in wavelength-division-multiplexed dispersion-managed systems,” Opt. Lett. 24, 448–450 (1999). [CrossRef]
  13. 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]
  14. 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]
  15. L. F. Mollenauer, E. Lichtman, M. J. Neubelt, and G. T. Harvey, “Demonstration, using sliding-frequency guiding filters, of error-free soliton transmission over more than 20 Mm at 10 Gbit/s, single channel, and more than 13 Mm at 20 Gbit/s in a two-channel WDM,” Electron. Lett. 29, 910–911 (1993). [CrossRef]
  16. M. Nakazawa, K. Suzuki, E. Yamada, H. Kubota, Y. Kimura, and M. Takaya, “Experimental demonstration of soliton data transmission over unlimited distances with soliton control in time and frequency,” Electron. Lett. 29, 729–730 (1993). [CrossRef]
  17. E. A. Golovchenko, A. N. Pilipetskii, and C. R. Menyuk, “Collision-induced timing jitter reduction by periodic dis-persion management in soliton WDM transmission,” Electron. Lett. 33, 735–737 (1997). [CrossRef]
  18. H. Sugahara, H. Kato, and Y. Kodama, “Maximum reductions of collision induced frequency shift in soliton-WDM systems with dispersion compensation,” Electron. Lett. 33, 1065–1066 (1997). [CrossRef]
  19. A. M. Niculae, W. Forysiak, and A. Gloag, “Soliton collisions with wavelength-division multiplexed systems with strong dispersion management,” Opt. Lett. 23, 1354–1356 (1998). [CrossRef]
  20. 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]
  21. Y. Chen and H. A. Haus, “Collisions in dispersion-managed soliton propagation,” Opt. Lett. 24, 217–219 (1999). [CrossRef]
  22. H. Sugahara and A. Maruta, “Collision-induced timing-jitter analysis in a wavelength-division-multiplexed optical soliton-transmission system with dispersion management,” J. Opt. Soc. Am. B 18, 419–431 (2001). [CrossRef]
  23. M. Wald, B. A. Malomed, and F. Lederer, “Interactions of dispersion-managed solitons in wavelength-division-multiplexed optical transmission lines,” Opt. Lett. 26, 965–967 (2001). [CrossRef]
  24. 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). [CrossRef]
  25. 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]
  26. 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]
  27. X. J. Gu, “Wavelength-division multiplexing isolation fiber filter and light source using cascading long-period fiber gratings,” Opt. Lett. 23, 509–511 (1998). [CrossRef]
  28. G. Lenz, B. J. Eggleton, C. R. Giles, C. K. Madsen, and R. E. Slusher, “Dispersive properties of optical filters for wavelength-division-multiplexed systems,” IEEE J. Quantum Electron. 34, 1390–1402 (1998). [CrossRef]
  29. L. A. De Francisco, M. T. S. Silva, and M. A. Romero, “Analytical study of Bragg-grating fiber-optic filters for dense wavelength-division-multiplexing and temperature-sensing applications,” Opt. Eng. 41, 1491–1495 (2002). [CrossRef]
  30. R. Slavik and S. LaRochelle, “Large-band periodic filters for dense wavelength-division-multiplexing using multiple-superimposed fiber gratings,” IEEE Photon. Technol. Lett. 14, 1704–1706 (2002). [CrossRef]
  31. A. Melloni and M. Martinelli, “Synthesis of direct-coupled-resonators bandpass filters for WDM systems,” J. Lightwave Technol. 20, 296–303 (2002). [CrossRef]
  32. B. A. 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]
  33. A. Y. Tikhomirov, J. Munch, T. McKay, and J. Staromlyska, “Construction of high-quality narrow-band holographic filters,” Opt. Quantum Electron. 31, 535–543 (1999). [CrossRef]
  34. P. P. Absil, J. V. Hryniewicz, B. E. Little, R. A. Wilson, L. G. Joneckis, and P. T. Ho, “Compact microring notch filters,” IEEE Photon. Technol. Lett. 12, 398–400 (2000). [CrossRef]
  35. C. E. Chryssou, “Gain-equalizing filters for wavelength division multiplexing optical communication systems: a comparison of notch and long-period grating filters for integrated optoelectronics,” Opt. Commun. 184, 375–384 (2000). [CrossRef]
  36. S. Shen and A. M. Weiner, “Suppression of WDM interference for error-free detection of ultrashort-pulse CDMA signals in spectrally overlaid hybrid WDM-CDMA operation,” IEEE Photon. Technol. Lett. 13, 82–84 (2001). [CrossRef]
  37. A. Docherty, P. L. Chu, and B. A. Malomed, “Notch filters in soliton communication systems: comparison,” J. Opt. Soc. Am. B 19, 190–197 (2002). [CrossRef]
  38. B. A. Malomed, A. Docherty, P. L. Chu, and G. D. Peng, “Dense-WDM soliton systems using channel-isolating notch filters (‘soliton rail’),” in Massive WDM and TDM Soliton Transmission Systems, A. Hasegawa, ed. (Kluwer Academic, Dordrecht, The Netherlands, 2000).
  39. B. A. Malomed and S. Wabnitz, “Soliton annihilation and fusion from resonant inelastic collisions in birefringent optical fibers,” Opt. Lett. 16, 1388–1390 (1991). [CrossRef] [PubMed]
  40. Q. Wang, P. K. A. Wai, C. J. Chen, and C. R. Menyuk, “Soliton shadows in birefringent optical fibers,” Opt. Lett. 17, 1265–1267 (1992). [CrossRef] [PubMed]
  41. See S. Trillo and W. E. Torruellas, eds., Spatial Solitons (Springer-Verlag, Berlin, 2001).
  42. B. A. Malomed, Z. H. Wang, P. L. Chu, and G. D. Peng, “Multichannel switchable system for spatial solitons,” J. Opt. Soc. Am. B 16, 1197–1203 (1999). [CrossRef]
  43. A. Shipulin, G. Onishchukov, and B. A. Malomed, “Suppression of the soliton jitter by a copropagating support structure,” J. Opt. Soc. Am. B 14, 3393–3402 (1997). [CrossRef]
  44. M. Wald, B. Malomed, and F. Lederer, “Interaction of moderately dispersion managed solitons,” Opt. Commun. 172, 31–36 (1999). [CrossRef]
  45. F. Forghieri, R. W. Tkach, and A. R. Chaplyvy, “WDM systems with unequally spaced channels,” J. Lightwave Technol. 13, 889–897 (1995). [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  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited