Unveiling temporal correlations characteristic to phase transition in the intensity of a fibre laser radiation

Abstract

We use advanced statistical tools of time-series analysis to characterize the dynamical complexity of the transition to optical wave turbulence in a fibre laser. Ordinal analysis and the horizontal visibility graph applied to the experimentally measured laser output intensity reveal the presence of temporal correlations during the transition from the laminar to the turbulent lasing regimes. Both methods unveil coherent structures with well defined time-scales and strong correlations both, in the timing of the laser pulses and in their peak intensities. Our approach is generic and may be used in other complex systems that undergo similar transitions involving the generation of extreme fluctuations.

5 pages, 5 figures

References in corpus (3)

• Random Fiber Laser
• Topological solitons as addressable phase bits in a driven laser
• Stochasticity, periodicity and coherent structures in partially mode-locked fibre lasers

Cited by in corpus (19)

• Characterizing Time Series via Complexity-Entropy Curves
• Visibility graphs for image processing
• Permutation Jensen-Shannon distance: A versatile and fast symbolic tool for complex time series analysis
• Sequential motif profile of natural visibility graphs
• Visibility graphs and symbolic dynamics
• Visibility graphs of random scalar fields and spatial data
• Characterization of Time Series Via Rényi Complexity-Entropy Curves
• Canonical Horizontal Visibility Graphs are uniquely determined by their degree sequence
• Predictability of Extreme Intensity Pulses in Optically Injected Semiconductor Lasers
• Quantifying instabilities in Financial Markets
• Emergence of spike correlations in periodically forced excitable systems
• Exploiting the impact of ordering patterns in the Fisher-Shannon complexity plan
• Characterizing signal encoding and transmission in class I and class II neurons via ordinal time-series analysis
• Persistence and Stochastic Periodicity in the Intensity Dynamics of a Fiber Laser During the Transition to Optical Turbulence
• Evolution of moments and correlations in non-renewal escape-time processes
• Identifying and anticipating the threshold bifurcation of a complex laser with permutation entropy
• Including the magnitude variability of a signal into the ordinal pattern analysis
• Counting Horizontal Visibility Graphs
• Exploring the complex dynamics of a Duffing oscillator with ordinal patterns analysis