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{ö}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.

4 pages, 4 figure

References in corpus (3)

• Tunable Modulational Instability Sidebands via Parametric Resonance in Periodically Tapered Optical Fibers
• Pulse confinement in optical fibers with random dispersion
• Modulational instability in optical fibers with randomly-kicked normal dispersion