Screening and fluctuation of the topological charge in random wave fields
arXiv:1807.01032 · doi:10.1364/OL.43.002740
Abstract
Vortices, phase singularities, and topological defects of any kind often reflect information that is crucial for understanding physical systems in which such entities arise. With near-field experiments supported by numerical calculations, we determine the fluctuations of the topological charge for phase singularities in isotropic random waves as a function of the size R of the observation window. We demonstrate that for two-dimensional fields such fluctuations increase with a superlinear scaling law, consistent with a R log R behavior. Additionally, we show that such scaling remains valid in the presence of anisotropy.
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