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Dynamics of an array of mutually coupled semiconductor lasers.

Serhiy Yanchuk1, Andrzej Stefanski, Tomasz Kapitaniak

  • 1Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstrasse 39, D-10117 Berlin, Germany. yanchuk@wias-berlin.de

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 21, 2006
PubMed
Summary

This study explores coupled semiconductor laser dynamics, revealing synchronous chaos and multistability. Synchronization transitions occur via blowup, with features independent of laser array size.

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Area of Science:

  • Nonlinear dynamics
  • Laser physics
  • Semiconductor laser arrays

Background:

  • Coupled laser systems exhibit complex dynamics.
  • Synchronization phenomena are crucial in laser applications.
  • Understanding multistability is key to controlling laser behavior.

Purpose of the Study:

  • Investigate dynamics of linear arrays of coupled semiconductor lasers.
  • Analyze synchronous states, particularly those arising from outer laser permutations.
  • Explore multistability of synchronous and asynchronous states, including chaotic behaviors.

Main Methods:

  • Numerical analysis of coupled laser systems.
  • Detailed study of a three-coupled-laser system.
  • Identification of parameter regimes for synchronous chaos.

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Main Results:

  • Observed multistability of synchronous, asynchronous, and chaotic states.
  • Identified conditions for synchronous chaos occurrence.
  • Demonstrated synchronization transition via blowup of invariant sets.
  • Found common synchronization region features across different array sizes.

Conclusions:

  • Coupled semiconductor lasers display rich dynamics including synchronous chaos.
  • Synchronization transitions have a specific mechanism involving invariant set blowup.
  • Key synchronization characteristics are robust and independent of array scale.