Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Route to Chaos in a Unidirectional Ring of Three Diffusively Coupled Erbium-Doped Fiber Lasers

Version 1 : Received: 7 May 2023 / Approved: 9 May 2023 / Online: 9 May 2023 (08:29:43 CEST)

How to cite: Esqueda de la Torre, J.O.; García-López, J.H.; Jaimes-Reátegui, R.; Huerta-Cuellar, G.; Aboites, V.; Pisarchik, A.N. Route to Chaos in a Unidirectional Ring of Three Diffusively Coupled Erbium-Doped Fiber Lasers. Preprints 2023, 2023050603. https://doi.org/10.20944/preprints202305.0603.v1 Esqueda de la Torre, J.O.; García-López, J.H.; Jaimes-Reátegui, R.; Huerta-Cuellar, G.; Aboites, V.; Pisarchik, A.N. Route to Chaos in a Unidirectional Ring of Three Diffusively Coupled Erbium-Doped Fiber Lasers. Preprints 2023, 2023050603. https://doi.org/10.20944/preprints202305.0603.v1

Abstract

We study the synchronous dynamics of three diffusively coupled erbium-doped fiber lasers (EDLFs) in the unidirectional ring configuration without external pump modulation. The dynamical behavior of the system is analyzed using time series, Fourier spectra, Poincaré sections, bifurcation diagrams, and Lyapunov exponents for different values of the coupling strength. For weak coupling, we observe a well-known route to chaos from a stable equilibrium through a Hopf bifurcation and a series of torus bifurcations as the coupling strength is increased. An interesting result is found for large values of the coupling strength, where the phase locking is close to zero. This allows a significant increase in the peak energy of the EDFLs pulses, i.e., above the coupling strength the lasers switch to a Q-switching mode with large-amplitude short pulses. This result allows us to propose a new method for increasing the laser pulse energy based on the control of the bistability by the rotating wave in the array of three unidirectionally ring-coupled EDFLs as a function of the coupling strength. In our system, we were able to increase the peak laser power by almost 20 times more than a continuous single EDFL.

Keywords

Laser; network; ring; dynamics; coupling

Subject

Physical Sciences, Optics and Photonics

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