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Pattern formation and competition in photorefractive oscillators.

F. T. Arecchi1, S. Boccaletti, G. P. Puccioni

  • 1Istituto Nazionale di Ottica, 50125 Firenze, Italy.

Chaos (Woodbury, N.Y.)
|September 1, 1994
PubMed
Summary

This study models pattern formation in optical systems using photorefractive crystals. It explains mode competition and coexistence phenomena observed in experiments across different Fresnel numbers (F).

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Area of Science:

  • Nonlinear optics
  • Optical pattern formation
  • Photorefractive materials

Background:

  • Optical systems with active media exhibit complex pattern formation.
  • Experimental observations show mode competition and coexistence depending on Fresnel numbers (F).

Purpose of the Study:

  • To develop a general model for pattern formation in optical systems.
  • To explain experimental results concerning mode competition and coexistence.
  • To analyze the influence of system parameters on optical behavior.

Main Methods:

  • A model combining diffractive and diffusive equations for optical fields and medium refractivity.
  • Linear stability analysis for low Fresnel numbers (F).
  • Normal form equations to describe time-dependent mode competition.

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Main Results:

  • The model reproduces mode competition (periodic/chaotic) for low F and mode coexistence for high F.
  • System behavior depends on medium thickness relative to optical absorption and diffusion lengths.
  • Nonlinear mode-mode interaction in the high F limit is equivalent to self-induced noise.

Conclusions:

  • The developed model successfully describes pattern formation in photorefractive optical systems.
  • The interplay between optical and diffusive interactions is crucial for observed phenomena.
  • The model provides a framework for understanding complex dynamics in optical cavities.