Turbulence-induced rogue waves in Kerr resonators

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.

References in corpus (15)

• Optical frequency comb generation from a monolithic microresonator
• Temporal solitons in optical microresonators
• Stability Analysis of the Lugiato-Lefever Model for Kerr Optical Frequency Combs. Part I: Case of Normal Dispersion
• Non-Gaussian statistics and extreme waves in a nonlinear optical cavity
• Disordered Regimes of the one-dimensional complex Ginzburg-Landau equation
• The laminar-turbulent transition in a fibre laser
• The turbulent cascade in five dimensions
• Dynamics of localized and patterned structures in the Lugiato-Lefever equation determine the stability and shape of optical frequency combs
• Observations of spatiotemporal instabilities in the strong-driving regime of an AC-driven nonlinear Schrödinger system
• Spatiotemporal chaos induces extreme events in an extended microcavity laser
• Optical Rogue Waves in Whispering-Gallery-Mode Resonators
• Characterization of the transition from defect- to phase-turbulence
• Lyapunov spectral analysis of a nonequilibrium Ising-like transition
• Characterization of spatiotemporal chaos in Kerr optical frequency {comb generators} and in fiber cavity
• Bifurcation structure of periodic patterns in the Lugiato-Lefever equation with anomalous dispersion

Cited by in corpus (13)

• Nonlinear states and dynamics in a synthetic frequency dimension
• Dissipative Kerr solitons in a photonic dimer on both sides of exceptional point
• Time-delayed nonlocal response induces traveling localized structures
• Universal threshold and Arnold tongues in Kerr ring microresonators
• Threshold of complexity and Arnold tongues in Kerr ring microresonators
• Bright-soliton frequency combs and dressed states in chi(2) microresonators
• Extreme events in a broad-area semiconductor laser with coherent injection
• Precursor-driven machine learning prediction of chaotic extreme pulses in Kerr resonators
• Walk-off induced dissipative breathers and dissipative breather gas in microresonators
• Observation of the Eckhaus Instability in Whispering-Gallery Mode Resonators
• Engineered discreteness enables observation and control of chimera-like states in a system with local coupling
• Origin, bifurcation structure and stability of localized states in Kerr dispersive optical cavities
• Forced symmetry breaking as a mechanism for rogue bursts in a dissipative nonlinear dynamical lattice