Under CopyrightYaitskova, NataliaNataliaYaitskovaGladysz, SzymonSzymonGladysz2022-03-1318.11.20162016https://publica.fraunhofer.de/handle/publica/39366910.1364/AOMS.2016.AOT2C.210.24406/publica-r-3936692-s2.0-850161036162-s2.0-85019510449The complex amplitude in the focal plane of adaptive optics system is modelled as an elliptical complex random variable. The geometrical properties of the probability density function of such variable relate directly to the statistics of the residual phase. Building solely on the twodimensional geometry, the expression for the probability density function of speckle intensity is derived.enconference paper