Spacetime correlation functions of dynamic speckles produced by a series of moving phase screens

Abstract Spacetime correlation functions of the time-varying speckle intensity have been evaluated for the case where speckle patterns are produced in the Fresnel diffraction region by light propagating through a series of moving random-phase screens. The correlation functions are given by a set of recursion formulae which are useful for numerical computations. Three statistical quantities relating to the motion of speckle patterns are derived to examine the relationship between the velocity distribution of the phase screens and the temporal behaviour of resultant speckle patterns. It is found that the velocity differences between the phase screens have a strong effect on both the decorrelation of speckle patterns and the fluctuating speed of the speckle intensity.

[1]  Dwight L. Jaggard,et al.  Optical beam propagation in a band-limited fractal medium , 1988 .

[2]  Toshimitsu Asakura,et al.  Dynamic laser speckles and their application to velocity measurements of the diffuse object , 1981 .

[3]  Richard Barakat,et al.  Second- and Fourth-order Statistics of Doubly Scattered Speckle , 1986 .

[4]  E Collett,et al.  Is complete spatial coherence necessary for the generation of highly directional light beams? , 1978, Optics letters.

[5]  Speckle dependence on object statistics and on the point-spread function , 1989 .

[6]  Measurements of two roughness parameters under speckle pattern illumination , 1990 .

[7]  Toshimitsu Asakura,et al.  Velocity Measurements of Two Moving Diffusers Using a Temporal Correlation Length of Doubly-scattered Speckle , 1990 .

[8]  R. Fante.  Imaging of an object behind a random phase screen using light of arbitrary coherence , 1985 .

[9]  Nicholas George,et al.  Speckle from a cascade of two thin diffusers , 1989 .

[10]  D. Newman.  K distributions from doubly scattered light , 1985 .

[11]  J C Dainty,et al.  Imaging after double passage through a random screen. , 1990, Optics letters.

[12]  Toshimitsu Asakura,et al.  Dynamic properties of speckled speckles with relation to velocity measurements of a diffuse object , 1989 .

[13]  Nobukatsu Takai.  Statistics of Dynamic Speckles Produced by a Moving Diffuser under the Gaussian Beam Laser Illumination , 1974 .

[14]  R. Lee,et al.  Weak scattering in random media, with applications to remote probing , 1969 .

[15]  朝倉 利光,et al.  J.C.Dainty 編 : Laser Speckle and Related Phenomena, Springer-Verlag, Berlin and Heidelberg, 1975, 286ページ, 23.5×16cm, 15,170円, (Topics in Applied Physics, Vol.9) , 1976 .

[16]  B. Uscinski,et al.  Analytical solution of the fourth-moment equation and interpretation as a set of phase screens , 1985 .

[17]  P. R. Tapster,et al.  Observation of backscattering enhancement through atmospheric phase screens , 1989 .

[18]  Denis Joyeux,et al.  Speckle Removal by a Slowly Moving Diffuser Associated with a Motionless Diffuser , 1971 .

[19]  D. Knepp.  Multiple phase-screen calculation of the temporal behavior of stochastic waves , 1983, Proceedings of the IEEE.

[20]  Toshimitsu Asakura,et al.  Statistical properties of laser speckles produced under illumination from a multimode optical fiber , 1985 .

[21]  F Roddier,et al.  On the origin of speckle boiling and its effects in stellar speckle interferometry , 1982 .

[22]  E. Jakeman,et al.  Enhanced backscattering through a deep random phase screen , 1988 .

[24]  D. Fried,et al.  Laser eye safety: the implications of ordinary speckle statistics and of speckled-speckle statistics. , 1981, Journal of the Optical Society of America.

[25]  Toshimitsu Asakura,et al.  Velocity dependence of image speckles produced by a moving diffuser under dynamic speckle illumination , 1990 .

[26]  T. Mavroidis,et al.  Imaging of coherently illuminated objects through turbulence: plane-wave illumination , 1990 .

[27]  T. Mckechnie,et al.  Diffraction analysis of bulk diffusers for projection-screen applications , 1985 .

[28]  K. A. O’Donnell.  Speckle statistics of doubly scattered light , 1982 .

[29]  Toshiaki Iwai,et al.  Experimental Study on the Spatial Correlation Properties of Speckled Speckles Using Digital Speckle Photography , 1990 .