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

D. J. Kaup*, E. A. Malomed, J. Yang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)1628-1635
Number of pages8
JournalJournal of the Optical Society of America B: Optical Physics
Volume16
Issue number10
DOIs
StatePublished - Oct 1999

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