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Fluctuations and correlations in hexagonal optical patterns

AuthorsGomila, Damià ; Colet, Pere
[PACS] Fluctuation phenomena, random processes, noise, and Brownian motion
[PACS] Pattern selection; pattern formation
[PACS] Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics
Issue Date30-Oct-2002
CitationPhysical Review E 66(4): 046223 (2002)
AbstractWe analyze the influence of noise in transverse hexagonal patterns in nonlinear Kerr cavities. The near-field fluctuations are determined by the neutrally stable Goldstone modes associated to translational invariance and by the weakly damped soft modes. However, these modes do not contribute to the far-field intensity fluctuations that are dominated by damped perturbations with the same wave vectors than the pattern. We find strong correlations between the intensity fluctuations of any arbitrary pair of wave vectors of the pattern. Correlation between pairs forming 120° is larger than between pairs forming 180°, contrary to what a naive interpretation of emission in terms of twin photons would suggest.
Description9 pages, 13 figures.-- PACS nrs.: 05.40.-a, 47.54.+r, 42.65.Sf.-- ArXiv pre-print available at: http://arxiv.org/abs/cond-mat/0207127
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevE.66.046223
Appears in Collections:(IFISC) Artículos
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