Study of a circular Gaussian transition in an optical speckle field

I. Bergoënd; X. Orlik; E. Lacot

doi:10.2971/jeos.2008.08028

Journal of the European Optical Society - Rapid publications, Vol 3 (2008)

Study of a circular Gaussian transition in an optical speckle field

I. Bergoënd, X. Orlik, E. Lacot

Abstract

We propose a numerical approach to study optical speckle fields generated by various conditions of surface roughness and illumination, without any a priori assumption concerning the properties of the scattered field. By overcoming the limitations imposed by the use of the central limit theorem, we perform the study of the whole circular Gaussian transition undergone by the speckle field when varying the surface roughness and the size of the laser illumination. We focus our attention on the speckle contrast, the degree of circularity and the degree of assymmetry, including their radial dependence.

Full Text: PDF

Citation Details

Cite this article

References

J. W. Goodman, Speckle phenomena in optics, theory and applications (Roberts and Company, 2006).

J. W. Goodman, "Statistical properties of laser speckle patterns" in Laser speckle and related phenomena, J. C. Dainty, ed., 9-75 (Springer-Verlag, 1975).

H. M. Pedersen, "On the contrast of polychromatic speckle patterns and its dependence on surface roughness" Opt. Acta 22, 15-24 (1975).

E. Jakeman, and P. N. Pusey, "Non-Gaussian fluctuations in electromagnetic radiation scattered by a random phase screen" J. Phys. A: Math. Gen. 8, 369-391 (1975).

J. Ohtsubo, and T. Asakura, "Statistical properties of laser speckle produced in the diffraction field" Appl. Opt. 16, 1742- 1753 (1977).

J. Uozumi, and T. Asakura, "First-order intensity and phase statistics of Gaussian speckle produced in the diffraction region" Appl. Opt. 20, 1454-1466 (1981).

H. M. Escamilla, "Speckle contrast in the diffraction field of a weak random-phase screen when the illuminated region contains a few correlation areas" Opt. Acta 30, 1655-1664 (1983).

J. Uozumi, and T. Asakura, "The first-order statistics of partially developed non-Gaussian speckle patterns" J. Opt. 12, 177-186 (1981).

H. Fujii, J. Uozumi, and T. Asakura, "Computer simulation study of image speckle patterns with relation to object surface profile" J. Opt. Soc. Am. 66, 1222-1236 (1976).

J. Uozumi, H. Fujii, and T. Asakura, "Further computer simulation study of image speckle patterns with relation to object surface profile" J. Opt. Soc. Am. 67, 808-814 (1977).

J. Uozumi, and T. Asakura, "Probability density functions of speckle intensity produced by weak diffusers" Opt. Acta 27, 1345-1360 (1980).

H. Fujii, "Contrast variation of non-gaussian speckle" Opt. Acta 27, 409-418 (1980).

R. S. Hansen, H. T. Yura, and S. G. Hanson, "First-order speckle statistics : an analytic analysis using ABCD matrices" J. Opt. Soc. Am. 14, 3093-3098 (1997).

H. Kadano, T. Asakura, and N. Takai, "Roughness and correlationlength measurements of rough-surface objects using the speckle contrast in the diffraction field" Optik 80, 115-120 (1988).

C. Cheng, C. Liu, N. Zhang, T. Jia, R. Li, and Z. Xu, "Absolute measurement of roughness and lateral-correlation length of random surfaces by use of the simplified model of image-speckle contrast" Appl. Opt. 41, 4148 (2002).

A. K. Fung, and M. F. Chen, "Numerical simulation of scattering from simple and composite random surfaces" J. Opt. Soc. Am. A 2, 2274-2284 (1985).

R. Grella, "Fresnel propagation and diffraction and paraxial wave equation" J. Opt. 13, 367-374 (1982).

P. J. Chandley, and H. M. Escamilla, "Speckle from a rough surface when the illuminated region contains few correlation areas: the effect of changing the surface height variance" Opt. Commun. 29, 151-154 (1979).

D. P. Qi, D. L. Liu, S. Y. Teng, N. Y. Zhang, and C. F. Cheng, "Morphological analysis by atomic force microscopy and light scattering study for random scattering screens" Acta. Phys. Sin.- Ch. 49, 1260-1266 (2000).

N. Y. Zhang, D. L. Liu, S. Y. Teng, D. P. Qi, and C. F. Cheng, "Experimental study on the properties of autocorrelation function of image speckles produced by weak random screens" Acta. Opt. Sin.-Ch. 21, 696-701 (2001).

J. Ohtsubo, and T. Asakura, "Statistical properties of speckle intensity variations in the diffraction field under illumination of coherent light" Opt. Commun. 14, 30 (1975).

J. W. Goodman, "Dependence of image speckle contrast on surface roughness" Opt. Commun. 14, 324-327 (1975).