Optical Random Riemann Waves in Integrable Turbulence

Randoux, Stéphane, Gustave, François, Suret, Pierre and El, Gennady (2017) Optical Random Riemann Waves in Integrable Turbulence. Physical Review Letters, 118 (23). ISSN 0031-9007

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Official URL: http://dx.doi.org/10.1103/PhysRevLett.118.233901

Abstract

We examine integrable turbulence (IT) in the framework of the defocusing cubic one-dimensional nonlinear Schrödinger 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, prebreaking 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.

Item Type: Article
Subjects: F300 Physics
G100 Mathematics
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User: Paul Burns
Date Deposited: 16 Nov 2018 17:47
Last Modified: 16 Nov 2018 17:47
URI: http://nrl.northumbria.ac.uk/id/eprint/36766

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