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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 15, Iss. 11 — Nov. 1, 1998
  • pp: 2892–2902

Critical-point screening in random wave fields

Isaac Freund and Michael Wilkinson  »View Author Affiliations


JOSA A, Vol. 15, Issue 11, pp. 2892-2902 (1998)
http://dx.doi.org/10.1364/JOSAA.15.002892


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Abstract

Screening of vortices and other critical points in a two-dimensional random Gaussian field is studied by using large-scale computer simulations and analytic theory. It is shown that the topological charge imbalance and its variance in a bounded region can be obtained from signed zero crossings on the boundary of the region. A first-principles Gaussian theory of these zero crossings and their correlations is derived for the vortices and shown to be in good agreement with the computer simulation. An exact relationship is obtained between the variance of the charge imbalance and the charge correlation function, and this relationship is verified by comparison with the data. The results obtained are extended to arbitrarily shaped volumes in isotropic spaces of higher dimension.

© 1998 Optical Society of America

OCIS Codes
(030.6140) Coherence and statistical optics : Speckle
(030.6600) Coherence and statistical optics : Statistical optics
(290.5880) Scattering : Scattering, rough surfaces

History
Original Manuscript: April 7, 1998
Manuscript Accepted: July 6, 1998
Published: November 1, 1998

Citation
Isaac Freund and Michael Wilkinson, "Critical-point screening in random wave fields," J. Opt. Soc. Am. A 15, 2892-2902 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-11-2892


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