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(12)¡¡Phase statistics of the speckle produced by power-law 
illuminated diffusers 
¡¡¡¡¡¡¡¡ICO IXI: Optics for the Quality of Life, eds. A. Consortini and G. C. Righini 
¡¡¡¡¡¡¡¡Proceedings of SPIE, Vol.4829, pp.603-604, 2002-8 
 
¡¡Second-order statistics of phase are investigated by computer simulations for 
speckles produced by illuminating a diffuser by coherent light with a negative 
power-law intensity distribution. Under such an illumination condition, the generated 
speckles are known to show fractal properties in their intensity distributions, 
thus being called fractal speckles. The present study shows that the phase of 
fractal speckles, as well as of ordinary speckles, exhibits a self-affine property 
of the type of Brownian motions. 
 
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