Screening and fluctuation of the topological charge in random wave fields

Journal article (2018)

Authors

L. de Angelis Kavli institute of nanoscience Delft, QN/Kuipers Lab - AS
L. Kuipers Kavli institute of nanoscience Delft, QN/Quantum Nanoscience
Research Group
QN/Kuipers Lab (AS) (TU Delft)
Chaos Random waves Singularities Screening Wave optics Topological defects Singular optics Near-field measurement Nanoscale optics Superdiffusive
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Published Date

04-06-2018

Language

English

Reuse Rights

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Faculty

Applied Sciences

Department

QN/Quantum Nanoscience

Research Group

QN/Kuipers Lab

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 푅 of the observation window. We demonstrate that for two-dimensional fields such fluctuations increase with a superlinear scaling law, consistent with a 푅 log 푅 behavior. Additionally, we show that such scaling remains valid in the presence of anisotropy.

Files

Preprint.pdf
(.pdf | 2.77 Mb)