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Curvature instability in passive diffractive resonators.

M Tlidi1, A G Vladimirov, Paul Mandel

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

Physical Review Letters
|December 18, 2002
PubMed
Summary
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Localized structures in passive optical bistable systems become unstable above a critical input field intensity. This instability leads to a transition from localized solutions to stable hexagonal patterns.

Area of Science:

  • Nonlinear optics
  • Optical systems
  • Pattern formation

Background:

  • Optical bistability describes systems with multiple stable states.
  • Localized structures can emerge in such systems.
  • Understanding their stability is crucial for applications.

Purpose of the Study:

  • To investigate the stability of localized structures in a passive optical bistable system.
  • To identify the conditions leading to instability.
  • To characterize the resulting pattern transitions.

Main Methods:

  • Numerical simulations of the optical bistable system.
  • Analysis of localized structure stability.
  • Identification of critical parameters like input field intensity.

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Main Results:

  • A critical input field intensity threshold for localized structure instability was identified.
  • Curvature instability was found to be the primary destabilizing mechanism.
  • Beyond the instability boundary, a transition to stable hexagonal patterns was observed.

Conclusions:

  • Localized structures in passive optical bistable systems exhibit a finite stability regime.
  • Input field intensity is a key parameter controlling structure stability.
  • The system transitions to stable hexagonal patterns when localized structures become unstable.