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Statistics of Diffusive and Localized Fields in the Vortex Core

2007/10/08 by Sheng Zhang, Azriel Z. Genack, Azriel Z Genack · 1 citation
Earth and Planetary Sciences · Physics and Astronomy · #Orbital Angular Momentum in Optics #Random lasers and scattering media #Underwater Acoustics Research #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevlett.99.203901

9 pages, 5 figures, to appear in Phys. Rev. Lett

arxiv created 2007/10/08 · openalex publication_date 2007/11/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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, epsilon, 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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