Statistical Properties of the Nonlinear Stage of Modulation Instability in Fiber Optics

Adrien E. Kraych, Dmitry Agafontsev, Stéphane Randoux, Pierre Suret

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36 Citations (Scopus)


We present an optical fiber experiment in which we examine the space-time evolution of a modulationally unstable plane wave initially perturbed by a small noise. Using a recirculating fiber loop as an experimental platform, we report the single-shot observation of the noise-driven development of breather structures from the early stage to the long-term evolution of modulation instability. Performing single-point statistical analysis of optical power recorded in the experiments, we observe decaying oscillations of the second-order moment together with the exponential distribution in the long-term evolution, as predicted by Agafontsev and Zakharov [Nonlinearity 28, 2791 (2015).NONLE50951-771510.1088/0951-7715/28/8/2791]. Finally, we demonstrate experimentally and numerically that the autocorrelation of the optical power g(2)(τ) exhibits some unique oscillatory features typifying the nonlinear stage of the noise-driven modulation instability and of integrable turbulence.

Original languageEnglish
Article number093902
JournalPhysical Review Letters
Issue number9
Publication statusPublished - 28 Aug 2019
Externally publishedYes


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