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Modulational instability in randomly dispersion-managed fiber links

Abstract

We study modulational instability in a dispersion-managed system where the sign of the group-velocity dispersion is changed at uniformly distributed random distances around a reference length. An analytical technique is presented to estimate the instability gain from the linearized nonlinear Schr{\"o}dinger equation, which is also solved numerically. The comparison of numerical and analytical results confirms the validity of our approach. Modulational instability of purely stochastic origin appears. A competition between instability bands of periodic and stochastic origin is also discussed. We find an instability gain comparable to the conventional values found in a homogeneous anomalous dispersion fiber.

Dates and versions

hal-03911304 , version 1 (22-12-2022)

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Andrea Armaroli, Guillaume Dujardin, Alexandre Kudlinski, Arnaud Mussot, Stephan De Bièvre, et al.. Modulational instability in randomly dispersion-managed fiber links. 2022. ⟨hal-03911304⟩
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