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Scattering matrixes of hexagonal ice crystals of cirrus clouds calculated for problems of radiation balance

The scattering (Mueller) matrix has been calculated for the ice crystals of cirrus clouds within the framework of both the geometrical-optics and physical-optics approximations. It is shown that the geometrical-optics solution matches its physical-optics counterpart rather well at the intervals of the zenith scattering angles between 20° – 160° except some deviations in the regions of the halos of 22° and 46°. However, the difference between these solutions is essential in the vicinity of the forward and backward scattering directions. In particular, we show that the geometrical-optical singularity known for the element M11 at the backward scattering direction is accompanied by sign-changing contributions from different ray-trajectories for other elements of the Mueller matrix that was known earlier. These sign-changing peculiarities are inherent to the physical-optics solution as well.