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Related Experiment Videos

Achronal generalized synchronization in mutually coupled semiconductor lasers.

J K White1, M Matus, J V Moloney

  • 1Nortel Networks Optical Components, 3500 Carling Avenue, Ottawa, Ontario, Canada K2H 8E9.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 23, 2002
PubMed
Summary

This study provides an analytic interpretation of achronal synchronization of chaos in semiconductor lasers. A stable achronal synchronization is demonstrated using a rate equation model and simulations.

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Area of Science:

  • Nonlinear dynamics
  • Laser physics
  • Chaos theory

Background:

  • Achronal synchronization of chaos was recently discovered in mutually coupled semiconductor lasers.
  • Previous experimental findings lacked a comprehensive analytic interpretation.

Purpose of the Study:

  • To provide an analytic interpretation of the experimental discovery of achronal synchronization of chaos.
  • To investigate the stability of different synchronization regimes in mutually coupled semiconductor lasers.

Main Methods:

  • Development of a simple rate equation model for mutually coupled semiconductor lasers.
  • Local eigenvalue analysis to determine the stability of synchronization regimes.
  • Single- and multimode numerical simulations to validate the model.

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Main Results:

  • Isochronal synchronization was found to be unstable.
  • Achronal synchronization was shown to be stable when a generalized synchronization function is introduced.
  • Simulations confirmed the stability of achronal synchronization.

Conclusions:

  • The rate equation model successfully interprets the experimental observation of achronal synchronization.
  • Achronal synchronization represents a stable state in mutually coupled chaotic semiconductor lasers.
  • The concept of "chaos pass filtering" was briefly explored in the context of laser synchronization.