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Dynamics of a semiconductor laser array with delayed global coupling.

G Kozyreff1, A G Vladimirov, P Mandel

  • 1Optique Nonlinéaire Théorique, Université Libre de Bruxelles, Campus Plaine CP 231, B-1050 Bruxelles, Belgium.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|July 20, 2001
PubMed
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We investigated conditions for synchronizing semiconductor laser arrays to maximize output intensity. Time delay was found to be a crucial control parameter for achieving in-phase synchronization across different dynamic regimes.

Area of Science:

  • Physics
  • Optics
  • Nonlinear Dynamics

Background:

  • Semiconductor laser arrays are crucial for high-power coherent light generation.
  • Understanding synchronization dynamics in coupled laser systems is essential for optimizing performance.
  • External feedback and nearest-neighbor interactions significantly influence array behavior.

Purpose of the Study:

  • To determine conditions for in-phase synchronization in a globally coupled semiconductor laser array.
  • To maximize output far-field intensity by achieving synchronized laser dynamics.
  • To explore the influence of time delay on synchronization and dynamic regimes.

Main Methods:

  • Analytical description of coupled laser array dynamics.
  • Investigation of Hopf bifurcations for steady-state analysis.

Related Experiment Videos

  • Modeling using Kuramoto equations for phase dynamics.
  • Analysis of delay-induced and delay-independent bifurcations.

    • Main Results:

    • Time delay is identified as a key control parameter for achieving in-phase synchronization.
    • A competition exists between delay-induced in-phase periodic regimes and delay-independent antiphased periodic regimes.
    • Secondary Hopf bifurcations leading to quasiperiodic solutions were observed.
    • Kuramoto equations were extended to include higher-order time derivatives for complex dynamics.

    Conclusions:

    • In-phase synchronization in semiconductor laser arrays can be controlled using time delay.
    • The interplay between delay and coupling strength dictates the emergence of different dynamic states.
    • Analytical and numerical methods provide insights into complex synchronization phenomena in laser arrays.