# Turbulence-induced rogue waves in Kerr resonators

## TL;DR

This paper explores how turbulence and rogue waves emerge in Kerr resonators, revealing a transition to amplitude turbulence and identifying rogue waves as extreme events with long-tail statistics.

## Contribution

It provides a combined theoretical and experimental analysis of spatiotemporal chaos and rogue wave formation in Kerr frequency combs across nonlinear regimes.

## Key findings

- Identification of a turbulence regime without cavity solitons
- Observation of rogue waves as extreme events
- Transition to amplitude turbulence via spatiotemporal intermittency

## Abstract

Spontaneous emergence of self-organized patterns and their bifurcations towards a regime of complex dynamics in non-equilibrium dissipative systems is a paradigm of phase transition. Indeed, the behavior of these patterns in the highly nonlinear regime remains less explored, even in recent high-quality-factor resonators such as Kerr-nonlinear optical ones. Here, we investigate theoretically and experimentally the alteration of the resulting Kerr frequency combs from the weakly to the highly nonlinear regime, in the frameworks of spatiotemporal chaos, and dissipative phase transitions. We reveal the existence of a striking and easily accessible scenario of spatiotemporal chaos, free of cavity solitons, in a monostable operating regime, wherein a transition to amplitude turbulence via spatiotemporal intermittency is evidenced. Moreover, statistics of the light bursts in the resulting turbulent regime unveils the existence of rogue waves as extreme events characterized by long-tail statistics.