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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


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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

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