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Optical random Riemann waves in integrable turbulence

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journal contribution
posted on 26.05.2017, 13:38 authored by Stephane Randoux, Francois Gustave, Pierre Suret, Gennady El
We examine integrable turbulence (IT) in the framework of the defocusing cubic one-dimensional nonlinear Schrodinger equation. This is done theoretically and experimentally, by realizing an optical fiber experiment in which the defocusing Kerr nonlinearity strongly dominates linear dispersive effects. Using a dispersive-hydrodynamic approach, we show that the development of IT can be divided into two distinct stages, the initial, pre-breaking stage being described by a system of interacting random Riemann waves. We explain the low-tailed statistics of the wave intensity in IT and show that the Riemann invariants of the asymptotic nonlinear geometric optics system represent the observable quantities that provide new insight into statistical features of the initial stage of the IT development by exhibiting stationary probability density functions.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Physical Review Letters

Citation

RANDOUX, S. ...et al., 2017. Optical random Riemann waves in integrable turbulence. Physical Review Letters, 118 (23), 233901.

Publisher

© American Physical Society

Version

AM (Accepted Manuscript)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Acceptance date

15/05/2017

Publication date

2017

Notes

This paper was accepted for publication in the journal Physical Review Letters and the definitive published version is available at https://doi.org/10.1103/PhysRevLett.118.233901.

ISSN

1079-7114

Language

en

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