arXiv · 1705.04647
Rogue wave generation by inelastic quasi-soliton collisions in optical fibres
Abstract
We demonstrate a simple cascade mechanism that drives the formation and emergence of rogue waves in the generalized non-linear Schr\"{o}dinger 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 $3.865\times 10^{6}$ps 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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Marc Eberhard, Antonino Savojardo, Akihiro Maruta, Rudolf A. Römer. 2017-05-12. Rogue wave generation by inelastic quasi-soliton collisions in optical fibres. https://doi.org/10.1364/oe.25.028086
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