Abstract
An “ensemble of point vortices” approach is introduced to analyze the statistical properties of the chaotic “vortex gas” of optical speckle fields. A peculiar property of the vortex statistics in speckle fields is that the average fraction of pairs of vortices of the same charge among the nearest neighbors is significantly less than 50%. Our approach, which considers optical speckle fields as ensembles of point vortices in thermal equilibrium, interprets this result. The statistical equilibrium distribution of nearest neighbor separation in the point vortex enserble is derived, and the temperature of the speckle field is calculated. The analysis is supported by numerical simulations of the point vortex “billiard”.
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