Rogue wave generation by inelastic quasi-soliton collisions in optical fibres

Abstract

Optical “rogue” waves are rare and very high intensity pulses of light that occur in optical devices such as communication fibers. They appear suddenly and can cause transmission errors and damage in optical communication systems. Indeed, the physics governing their dynamics is very similar to “monster” or “freak” waves on the Earth’s oceans, which are known to harm shipping. It is therefore important to characterize rogue wave generation, dynamics and, if possible, predictability. Here we demonstrate a simple cascade mechanism that drives the formation and emergence of rogue waves in the generalized non-linear Schrödinger equation with third-order dispersion. This generation mechanism is based on inelastic collisions of quasi-solitons and is well described by a resonant-like scattering behaviour for the energy transfer in pair-wise quasi-soliton collisions. Our theoretical and numerical results demonstrate a threshold for rogue wave emergence and the existence of a period of reduced amplitudes — a “calm before the storm” — preceding the arrival of a rogue wave event. Comparing with ultra-long time window simulations of 3.865 × 106ps we observe the statistics of rogue waves in optical fibres with an unprecedented level of detail and accuracy, unambiguously establishing the long-ranged character of the rogue wave power-distribution function over seven orders of magnitude.

Publication DOI: https://doi.org/10.1364/OE.25.028086
Divisions: College of Engineering & Physical Sciences > Adaptive communications networks research group
Additional Information: Published by The Optical Society under the terms of the Creative Commons Attribution 4.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funding: EPSRC for provision of computing resources through the MidPlus Regional HPC Centre (EP/K000128/1), and the national facilities HECToR (e236, ge236) and ARCHER (e292). Hartree Centre for use of its facilities via BG/Q access projects HCBG055, HCBG092, HCBG109.
Uncontrolled Keywords: Nonlinear optics ,Pulse propagation ,Temporal solitons
Publication ISSN: 1094-4087
Last Modified: 11 Mar 2024 08:19
Date Deposited: 26 Oct 2017 10:35
Full Text Link:
Related URLs: https://www.osa ... =oe-25-23-28086 (Publisher URL)
PURE Output Type: Article
Published Date: 2017-10-30
Accepted Date: 2017-10-09
Authors: Eberhard, M. (ORCID Profile 0000-0002-9818-9651)
Savojardo, A.
Maruta, A.
Römer, R. A.

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