Statistics of Diffusive and Localized Fields in the Vortex Core

Sheng Zhang and Azriel Z. Genack
Phys. Rev. Lett. 99, 203901 – Published 12 November 2007

Abstract

The statistics of the field structure in the vortex core surrounding phase singularities in random wave fields are measured and calculated for diffusive and localized waves. Excellent agreement is found between experiment and theory. The variation of phase with the geometric angle is deterministic, depending only upon the eccentricity of elliptical intensity contours, ϵ, whose probability distribution is shown to be universal. The distribution of vorticity is shown to reflect both the vorticity distributions within a Gaussian random wave field with a given value of the total transmission and the mesoscopic distribution of total transmission.

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  • Received 26 April 2007

DOI:https://doi.org/10.1103/PhysRevLett.99.203901

©2007 American Physical Society

Authors & Affiliations

Sheng Zhang and Azriel Z. Genack

  • Department of Physics, Queens College, The City University of New York, Flushing, New York 11365, USA

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Issue

Vol. 99, Iss. 20 — 16 November 2007

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