Correlation and coherence properties of time-averaged speckle patterns for light fields scattered by rough surfaces

Peter Bakut; Valery Mandrosov

doi:10.1117/12.695990

15 September 2006 Correlation and coherence properties of time-averaged speckle patterns for light fields scattered by rough surfaces

Peter Bakut, Valery Mandrosov

Author Affiliations +

Proceedings Volume 6341, Speckle06: Speckles, From Grains to Flowers; 63412T (2006) https://doi.org/10.1117/12.695990
Event: Speckle06: Speckles, From Grains to Flowers, 2006, Nimes, France

Abstract

We analyze the relation between the coherence properties of scattered light fields and various geometric parameters of the scattering objects. It is shown that if the coherence time τ_c of the probing radiation exceeds 3/ω₀, with ω₀ being the central frequency of the radiation spectrum, then the correlation properties of the scattered, field speckle pattern averaged over a time T>10τ_c determine the homogeneity domains and the coherence properties of the scattered fields. These domains and coherence properties are determined by the following parameters: the coherence length of the probing radiation L_c=τ_cc, where c is the speed of light; the transverse size d and the depth L_s of the backscattering domain; the distance r_c between the receiving aperture and the scattering surface, the size d_p of the receiving aperture, the central wavelength of the probing radiation λ=c/ω₀, and the mean square deviation σ of the surface roughness height distribution. The obtained results enable one to find the relations between the parameters L_s, L_c, and σ corresponding to various intervals of the coherence length variation, where the scattered field manifests itself as coherent, partially coherent, and incoherent. The smallest possible coherence length of the probing optical radiation is estimated to be 8λ.

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Peter Bakut and Valery Mandrosov "Correlation and coherence properties of time-averaged speckle patterns for light fields scattered by rough surfaces", Proc. SPIE 6341, Speckle06: Speckles, From Grains to Flowers, 63412T (15 September 2006); https://doi.org/10.1117/12.695990

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KEYWORDS

Light scattering

Scattering

Speckle pattern

Correlation function

Speckle

Backscatter

Coherence (optics)

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