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The paper presents a Monte Carlo algorithm for the study of bidirectional angular characteristics  of a scattered polarized radiation based on projection expansion of the density of the corresponding angular distribution over  hemispherical harmonics.  The results of numerical estimation of two-dimensional angular distributions of the intensity and the polarization degree of the radiation passed through and reflected from optically thick layers of scattering and absorbing substance are presented.

Two-dimensional projection Monte Carlo estimators for the study of angular characteristics of polarized radiation