A method based on the average granulometric size of speckle for characterizing the scattering media

A method based on morphological granulometric analysis for the speckle image is presented to estimate the scattering coefficient of the scattering media. It is experimentally demonstrated that the average granulometric size, derived from the successive opening operations, is approximately in inverse proportion to the scattering coefficient of the sample in a broad illumination. Furthermore, a theoretical model based on the spatial correlation function of the back scattered intensity for the experimental phenomenon is reported. The analysis demonstrates that the explicit theoretical relationship between average granulometric size of speckle and scattering coefficient is established, and the theoretical prediction is consistent with the experimental result.