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

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Abstract

We demonstrate a simple cascade mechanism that drives the formation and emergence of rogue waves in the generalized non-linear Schroedinger equation with third-order dispersion. This conceptually novel 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 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 3.865×10^6ps 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.

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Original languageEnglish
Article number1705.04647
Number of pages13
JournalArXiv e-prints
StatePublished - 12 May 2017

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-Creative Commons license CC-BY

    Keywords

  • physics, optics

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