Spatial speckle characterization by Brownian motion analysis

It is well known that the interactions between coherent monochromatic radiation and a scattering medium induce a speckle phenomenon. The spatial and temporal statistics of this speckle are employed to analyze many applications in laser imaging. The direct exposure of a photographic film, without a lens to the backscattered radiation, gives a speckle pattern. The main problem lies in the determination of those parameters which can efficiently characterize this pattern. In this paper, we present a fractal-theory-based stochastic approach to approximate the diffusion. In our opinion, this method is more appropriate for the classification of this nonlinear and nonstationary phenomenon than the classical frequency-based approach. The paper also presents several applications of this method which have employed for characterization of different test media.