In this paper an analytical method of prediction some parameters of radar backscattered signal in case of remote sensing of clouds and precipitation have been introduced. This method finally has been used to the create of the mathematical model of radar signal backscattering on ice particles. In the article have been presented range of corrected formulas to calculate several polarimetric parameters like Differential Reflectivity, Linear Depolarization Ratio, and Correlation Coefficient as output parameter set of the described model. These formulas gave more accurate result of calculation than original variant, published in sources [3]. Some physical parameters of the ice crystals like length, diameter for elongated particles and width, a thickness for oblated ones have taken as input parameters of the model. Described mathematical model could be useful to weather radar designers, in order to have the ability to recognize dangerous meteorological phenomena basing on information of backscattered signal.

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