Phase-amplitude Coupling Factor Induced Multistability near Phase-flip Bifurcation regimes in Mutually Delay-Coupled Diode Lasers

Pramod Kumar Frédéric Grillot 1, 2
1 GTO - Télécommunications Optiques
LTCI - Laboratoire Traitement et Communication de l'Information
Abstract :

Delay-coupled diode lasers system have shown plethora of collective fascinating complex dynamical instabilities in the output intensity by several ways and the dynamics displayed by system vary dramatically depending on setup and system parameter chosen. Dynamical maps are more appropriate way to display the global view of dynamics because very diverse time scales involved in the dynamics. We have manually produced the map by carefully observation of the sustained temporal behavior to show the different dynamical regimes and notify the parameters where dynamical changes occur. The complex dynamics is investigated as a function of coupledcavity time delay τ and the optical injection strength η. The synchronized dynamics of „in-phase locking‟ and „out-of-phase locking‟ are observed in a wide range of parameters. Shifting of different phase-correlated dynamics, such as phase-flip bifurcation [2], is observed and analyzed when η is varied for a particular τ. We show that the phase flip transition does not occur abruptly at a particular value of coupling strength. Instead we find a coupling strength region around the phase flip transition where the co-existence of multi-attractors occurs. The existence of multiple attractors near the regime of phase flip bifurcation has raised the issue of whether the noise plays a crucial role or not. We also study the effect of the phase- amplitude coupling factor [1] [2] on the dynamics in the amplitude death regime. We show that the phase flip transition occurs abruptly from in-phase amplitude death to anti-phase amplitude death but the transition does not occur abruptly from anti-phase to inphase. In this letter, we wish to provides fundamental insight into the underlying physics of the system and present a detailed description of amplitude death and existence of multiple amplitude death islands [2], which are crucial considerations for redesign the device or improve the processing, or simply exploit the dynamical performance of a diode lasers stabilization applications. We emphasize on the enlargement of anti-phase amplitude death islands in which the coupled lasers mutually stay in ultimate stable states. Our Numerical analysis is based on the observation that the cross- correlation and time-shifted correlation measure unveils the signature of coexistence of multiple attractors and enhancement of stability within anti-phase amplitude-death islands.

Document type :
Conference papers
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https://hal.telecom-paristech.fr/hal-02278614
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Submitted on : Wednesday, September 4, 2019 - 2:50:47 PM
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Pramod Kumar, Frédéric Grillot. Phase-amplitude Coupling Factor Induced Multistability near Phase-flip Bifurcation regimes in Mutually Delay-Coupled Diode Lasers. WORKSHOP ON LASER DYNAMICS AND NONLINEAR PHOTONICS, Dec 2011, Colonia del Sacramento, Uruguay. ⟨hal-02278614⟩

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