The Calculation of Spectral and Angular Distribution of Diffusely Reflected, Diffusely Transmitted, and Unscattered Fluxes of Solar Radiation in Atmospheric Layers

Abstract

The spectral and angular distributions of the intensity of diffusely reflected and transmitted solar radiation fluxes in the atmosphere, resulting from multiple Rayleigh scattering on air molecules, have been studied. Additionally, calculations of the spectral distribution of total fluxes of diffusely reflected, transmitted, and unscattered solar radiation exiting the atmospheric layers have been performed. It is demonstrated how the redistribution of these fluxes across the spectrum occurs depending on the angle of illumination. The calculations of diffuse radiation intensity were carried out within the framework of the theory of Chandrasekhar’s \(X,Y\) functions theory, developed using the factorization method.