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Modulational instability in randomly dispersion-managed fiber links

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posted on 2023-01-10, 03:24 authored by Andrea Armaroli, Guillaume Dujardin, Alexandre Kudlinski, Arnaud Mussot, Stephan De Bièvre, Matteo Conforti
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.



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