Anderson localisation and optical-event horizons in rogue-soliton generation

TL;DR

This paper explores how Anderson localisation influences rogue-soliton formation in optical fibers, revealing the interplay between linear disorder effects and nonlinear dynamics leading to rogue waves.

Contribution

It uncovers the connection between Anderson localisation and modulation instability, showing how localised modes seed rogue-soliton formation through optical-event horizon interactions.

Findings

Anderson localised modes occur at specific intervals due to noise

Localised modes seed solitary waves during modulation instability

Optical-event horizons facilitate soliton collisions leading to rogue waves

Abstract

We unveil the relation between the linear Anderson localisation process and nonlinear modulation instability. Anderson localised modes are formed in certain temporal intervals due to the random background noise. Such localised modes seed the formation of solitary waves that will appear during the modulation instability process at those preferred intervals. Afterwards, optical-event horizon effects between dispersive waves and solitons produce an artificial collective acceleration that favours the collision of solitons, which could eventually lead to a rogue-soliton generation.