Statistics of spatially integrated speckle intensity difference

Steen Grüner Hanson; Harold Yura

doi:10.1364/JOSAA.26.000371

Statistics of spatially integrated speckle intensity difference

Steen Grüner Hanson, Harold Yura

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

We consider the statistics of the spatially integrated speckle intensity difference obtained from two separated finite collecting apertures. For fully developed speckle, closed-form analytic solutions for both the probability density function and the cumulative distribution function are derived here for both arbitrary values of the mean number of speckles contained within an aperture and the degree of coherence of the optical field. Additionally, closed-form expressions are obtained for the corresponding nth statistical moments.

Original language	English
Journal	Journal of the Optical Society of America. A. Optics Image Science and Vision
Volume	26
Issue number	2
Pages (from-to)	371-375
ISSN	1084-7529
DOIs	https://doi.org/10.1364/JOSAA.26.000371
Publication status	Published - 2009

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abstract = "We consider the statistics of the spatially integrated speckle intensity difference obtained from two separated finite collecting apertures. For fully developed speckle, closed-form analytic solutions for both the probability density function and the cumulative distribution function are derived here for both arbitrary values of the mean number of speckles contained within an aperture and the degree of coherence of the optical field. Additionally, closed-form expressions are obtained for the corresponding nth statistical moments.",

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AB - We consider the statistics of the spatially integrated speckle intensity difference obtained from two separated finite collecting apertures. For fully developed speckle, closed-form analytic solutions for both the probability density function and the cumulative distribution function are derived here for both arbitrary values of the mean number of speckles contained within an aperture and the degree of coherence of the optical field. Additionally, closed-form expressions are obtained for the corresponding nth statistical moments.

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DO - 10.1364/JOSAA.26.000371

M3 - Journal article

SN - 1084-7529

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JO - Journal of the Optical Society of America. A. Optics Image Science and Vision

JF - Journal of the Optical Society of America. A. Optics Image Science and Vision

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Statistics of spatially integrated speckle intensity difference

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