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Related Experiment Videos

Global coupling with time delay in an array of semiconductor lasers

Kozyreff1, Vladimirov, Mandel

  • 1Optique Nonlineaire Theorique, Universite Libre de Bruxelles, Campus Plaine CP 231, B-1050 Bruxelles, Belgium.

Physical Review Letters
|October 21, 2000
PubMed
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Weak global coupling with time delay synchronizes semiconductor laser arrays. Time delays induce in-phase synchronization and can cause local extinction of self-pulsing in laser arrays.

Area of Science:

  • Nonlinear dynamics
  • Laser physics
  • Condensed matter physics

Background:

  • Semiconductor laser arrays exhibit complex dynamics.
  • Synchronization phenomena are crucial for understanding coupled systems.
  • Time delays can significantly alter system behavior.

Purpose of the Study:

  • Investigate synchronization in semiconductor laser arrays under weak global coupling with time delay.
  • Analyze the influence of time delay on continuous wave (cw) and self-pulsing regimes.
  • Derive and analytically discuss a generalized Kuramoto phase equation model.

Main Methods:

  • Analytical derivation of generalized Kuramoto phase equations.
  • Investigation of synchronization in both cw and self-pulsing dynamical regimes.

Related Experiment Videos

  • Mathematical analysis of the effects of time delay on system dynamics.

    • Main Results:

    • Time delay induces in-phase synchronization across all investigated dynamical regimes.
    • A novel form of synchronization leading to local extinction of self-pulsing was identified.
    • The generalized Kuramoto model provides a framework for understanding delayed synchronization.

    Conclusions:

    • Time delay is a critical factor in achieving in-phase synchronization in semiconductor laser arrays.
    • The observed local extinction of self-pulsing presents a new phenomenon in coupled laser systems.
    • The study offers insights into controlling and understanding complex dynamics in delayed coupled oscillators.