Optical rogue waves in integrable turbulence

Pierre Suret; Pierre Walczak; Stéphane Randoux

doi:10.1117/12.2217754

9 March 2016 Optical rogue waves in integrable turbulence

Pierre Suret, Pierre Walczak, Stéphane Randoux

Proceedings Volume 9732, Real-time Measurements, Rogue Events, and Emerging Applications; 97320M (2016) https://doi.org/10.1117/12.2217754
Event: SPIE LASE, 2016, San Francisco, California, United States

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.

Citation Download Citation

Pierre Suret, Pierre Walczak, and Stéphane Randoux "Optical rogue waves in integrable turbulence", Proc. SPIE 9732, Real-time Measurements, Rogue Events, and Emerging Applications, 97320M (9 March 2016); https://doi.org/10.1117/12.2217754

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