MULTIPLE SCATTERING OF LIGHT BY A LAYER OF DISCRETE RANDOM MEDIUM. BACKSCATTERING V.P.Tishkovets Astronomical observatory of Kharkov National University Sumskaya St.,35, Kharkov, 61022, Ukraine E-mail: tishkovets@astron.kharkov.ua Abstract The problem of multiple scattering of light by a layer of discrete random medium is considered. The medium is supposed to be rarefied with scatterers randomly positioned in the layer. Backscattering of light incident normally to the plane of the layer is considered. The scattering matrix is presented as a sum of three matrices one of them corresponding to incoherent scattering of light and difference of the other two matrices describing coherent scattering. Equations for calculation of these matrices are given.