2017/05/12 by Marc Eberhard, Antonino Savojardo, Akihiro Maruta +1 · 1 citation
Physics and Astronomy · #physics.optics #msc:35Q51 #msc:37K40 #acm:35Q51 #acm:37K40
paper · pdf · doi:10.1364/oe.25.028086
published as Opt. Express 25(23), 28086-28099 (2017) · 7 pages main paper with 4 figures, additional 6 pages and 10 figures of supplementary material
arxiv created 2017/05/12 · arxiv updated 2017/11/01
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 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× 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.