Аннотация:We report the results of theoretical and experimental investigations of statistical properties ofpseudothermal radiation formed after the reflection from the phase spatial light modulator. We have obtained expressions for the spatial correlation function and the correlation radius of a random pseudothermal radiation. In the general case, the field turns out to be statistically anisotropic (the correlation radius in the transverse plane of the scattered beam in one of orthogonal directions depends on the angle of incidence of the coherent beam on the modulator). It has been proved rigorously based on the calculation of field distributionfunction cumulants that in the far-field zone, the random field obeys the Gaussian statistics. We report on the results of experiments on the transformation of a coherent laser beam into radiation with the pseudothermal statistics using a liquid-crystal light modulator. The experimental data obtained with the help of proector software package are in good agreement with the results of theoretical conclusions.