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Fluctuations and correlations in hexagonal optical patterns.

Damià Gomila1, Pere Colet

  • 1Institut Mediterrani d'Estudis Avançats, IMEDEA (CSIC-UIB), Campus Universitat Illes Balears, E-07071 Palma de Mallorca, Spain.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 22, 2002
PubMed
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Noise influences transverse hexagonal patterns in nonlinear Kerr cavities. Far-field intensity fluctuations correlate strongly, with 120-degree pairs showing higher correlation than 180-degree pairs, challenging twin-photon emission theories.

Area of Science:

  • Nonlinear optics
  • Quantum optics
  • Cavity physics

Background:

  • Transverse hexagonal patterns arise in nonlinear Kerr cavities.
  • Near-field fluctuations are influenced by Goldstone and soft modes.
  • Understanding far-field intensity fluctuations is crucial.

Purpose of the Study:

  • Analyze the impact of noise on transverse hexagonal patterns.
  • Investigate the origin of far-field intensity fluctuations.
  • Examine correlations between wave vector intensity fluctuations.

Main Methods:

  • Analysis of noise influence in nonlinear Kerr cavities.
  • Characterization of near-field and far-field fluctuations.
  • Study of Goldstone and soft modes contributions.

Related Experiment Videos

  • Correlation analysis of intensity fluctuations at different wave vectors.

    • Main Results:

    • Near-field fluctuations are governed by Goldstone and soft modes.
    • Far-field fluctuations are dominated by damped perturbations.
    • Strong correlations exist between intensity fluctuations of pattern wave vectors.
    • 120-degree wave vector pairs exhibit stronger correlations than 180-degree pairs.

    Conclusions:

    • Noise significantly impacts hexagonal patterns in Kerr cavities.
    • Far-field intensity fluctuations originate from damped perturbations, not near-field modes.
    • Observed correlations challenge simple twin-photon emission models.
    • The study provides new insights into pattern dynamics and correlations in optical systems.