## Phase correlations at neighboring intensity critical points in Gaussian random wave fields

Applied Optics, Vol. 37, Issue 32, pp. 7560-7567 (1998)

http://dx.doi.org/10.1364/AO.37.007560

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### Abstract

Phase correlations are studied for neighboring critical points of the intensity in an isotropic Gaussian random wave field. Significant correlations and anticorrelations are found that extend out to at least the fifth nearest neighbors. A theoretical interpretation of the empirical data is attempted within the framework of the phase autocorrelation and the probability-density functions of extended two-dimensional random phase fields. It is found, however, that adaptations of these theoretical models are unable to account satisfactorily, or even qualitatively, for the extensive phase correlations that are present in these fields.

© 1998 Optical Society of America

**OCIS Codes**

(010.1080) Atmospheric and oceanic optics : Active or adaptive optics

(030.6140) Coherence and statistical optics : Speckle

(030.6600) Coherence and statistical optics : Statistical optics

(110.6150) Imaging systems : Speckle imaging

(170.7050) Medical optics and biotechnology : Turbid media

(290.5880) Scattering : Scattering, rough surfaces

**History**

Original Manuscript: December 11, 1997

Revised Manuscript: April 1, 1998

Published: November 10, 1998

**Citation**

Isaac Freund, "Phase correlations at neighboring intensity critical points in Gaussian random wave fields," Appl. Opt. **37**, 7560-7567 (1998)

http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-37-32-7560

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