Аннотация:A brief retrospective analysis of the study ofspeckles with Rayleigh and non-Rayleigh statistics is performed.Algorithms and computer models have been developed forgenerating light speckle fields with different probabilitydensities of intensity values. The possibility of purposefulcontrol of probability distributions and other statisticalradiation parameters is demonstrated. The problem of thestability of the probabilistic and scaling characteristics ofspeckle-like monochromatic beams during their propagation infree space is considered. The possibility of formation of a deltashaped intensity distribution in the histograms is established.Variants of using beams with different statistics in medicine andinformation optical systems are considered.