Abstract

The theory of speckle in partially coherent, monochromatic light is extended to cover the entire range of object roughness. For “almost white-noise” objects it is shown how the speckle statistics are related to a Gaussian approximation of the object statistics. Within this approximation, general relations are derived for the spatial speckle correlation and the spatial Wiener spectrum. The theory is applied to calculate rms speckle contrast as function of object roughness, coherence of the illumination, and receiver plane defocusing.

© 1976 Optical Society of America

Measurement of surface roughness properties by using image speckle contrast

Hitoshi Fujii, Toshimitsu Asakura, and Yoshio Shindo
J. Opt. Soc. Am. 66(11) 1217-1222 (1976)

Real-time measurement of surface roughness by correlation of speckle patterns

D. Léger and J. C. Perrin
J. Opt. Soc. Am. 66(11) 1210-1217 (1976)

Speckle from rough, moving objects*

Nicholas George
J. Opt. Soc. Am. 66(11) 1182-1194 (1976)

Computer simulation study of image speckle patterns with relation to object surface profile

H. Fujii, J. Uozumi, and T. Asakura
J. Opt. Soc. Am. 66(11) 1222-1236 (1976)

Speckle field of curved, rotating surfaces of Gaussian roughness illuminated by a laser light spot*

Joachim C. Erdmann and Robert I. Gellert
J. Opt. Soc. Am. 66(11) 1194-1204 (1976)