Simulation of the mean intensity of reflected solar radiation in broken clouds: spherical model of atmosphere

The paper presents an original statistical algorithm for calculating the mean intensity of solar radiation in broken clouds I , taking into account the sphericity of the atmosphere. The algorithm is based on numerical averaging of the radiative transfer equation and introduction of an additional randomness (randomization). We discuss the results of numerical experiments, carried out to estimate the effect of statistics (numbers of cloud realizations and photon trajectories in a single realization) on the accuracy of the I calculations and laboriousness of the algorithm under different observation and illumination conditions.