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Proceedings Paper

Optical rogue waves in integrable turbulence
Author(s): Pierre Suret; Pierre Walczak; Stéphane Randoux
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Paper Abstract

Using experiments with single mode optical fibers and numerical simulations, we investigate the statistics of partially coherent waves propagating in the anomalous dispersion regime (P. Walczak et al., 114, Phys. Rev. Lett. (2015)). Using an asynchronous optical sampling setup, we measure precisely the probability density function (PDF) of the optical power that fluctuates randomly and rapidly with time. The resolution time of our fast-measurement of the PDF is better than 250fs. Along the propagation inside the nonlinear fiber, the PDF is found to evolve from the normal law to a strong heavy-tailed distribution. Numerical simulations of the one-dimensional nonlinear Schrödinger equation (1D-NLSE) with stochastic initial conditions reproduce quantitatively the experiments. Our experimental and numerical study demonstrates the formation of rogue waves in the focusing regime of integrable turbulence. Moreover, our numerical investigations suggest that the statistical features experimentally observed rely on the stochastic generation of coherent analytic solutions of 1D-NLSE such as solitons on finite background.

Paper Details

Date Published: 9 March 2016
PDF: 9 pages
Proc. SPIE 9732, Real-time Measurements, Rogue Events, and Emerging Applications, 97320M (9 March 2016); doi: 10.1117/12.2217754
Show Author Affiliations
Pierre Suret, Lab. de Physique des Lasers, Atomes et Molécules, CNRS, Univ. de Lille (France)
Pierre Walczak, Lab. de Physique des Lasers, Atomes et Molécules, CNRS, Univ. de Lille (France)
Stéphane Randoux, Lab. de Physique des Lasers, Atomes et Molécules, CNRS, Univ. de Lille (France)


Published in SPIE Proceedings Vol. 9732:
Real-time Measurements, Rogue Events, and Emerging Applications
Bahram Jalali; Sergei K. Turitsyn; Daniel R. Solli; John M. Dudley, Editor(s)

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