Abstract

Near-neighbor phase singularities (vortices) in a random Gaussian wave field are shown to be extensively correlated or anticorrelated depending on the vortex parameter under consideration. In some instances these correlations extend out even to fourth-nearest neighbors. The correlations reflect an underlying, recently discovered universal sign principle and can be expected to be an important feature of all wave fields.

© 1994 Optical Society of America

Optical vortices in Gaussian random wave fields: statistical probability densities

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Critical-point screening in random wave fields

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