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Surface roughness dependence of the first-order probability density function for integrated speckle
Journal article   Peer reviewed

Surface roughness dependence of the first-order probability density function for integrated speckle

Chulwoo Jung, Dongwoo Kim and S.Y Kim
Optics communications, v 100(5), pp 508-517
1993

Abstract

The surface roughness dependence of the first-order probability density function (PDF) of an integrated speckle pattern, produced in the condition of circular detection aperture and gaussian scattering spot, was theoretically investigated. The mutual intensity J A ( x 1, y 1; x 2, y 2) containing two roughness parameters, dispersion of surface height 〈ø 2〉 lateral correlation length x c , was calculated. The exact first-order probability density function was analytically derived and numerically calculated by means of the Karhunen-Loeve expansion and fast Fourier transform (FFT). As a diffuse object became smooth, the first order probability density function was changed from negative exponential to sharp peak gaussian centered around mean intensity.

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Optics
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