Mathematical model of solar radiation reflection by underlying surface

Vladimir P. Boudak; Alexis V. Kozelsky; Eugene N. Savitsky

doi:10.1117/12.548329

27 February 2004 Mathematical model of solar radiation reflection by underlying surface

Vladimir P. Boudak, Alexis V. Kozelsky, Eugene N. Savitsky

Proceedings Volume 5396, Tenth Joint International Symposium on Atmospheric and Ocean Optics/Atmospheric Physics. Part I: Radiation Propagation in the Atmosphere and Ocean; (2004) https://doi.org/10.1117/12.548329
Event: Tenth Joint International Symposium on Atmospheric and Ocean Optics/Atmospheric Physics, 2003, Tomsk, Russian Federation

Abstract

The model of a plane-parallel slab of a turbid medium is accepted, where there are particles of the spherical form scattering light separately from each other. Mathematically the problem is reduced to the solution of a boundary-value problem of a radiative transfer equation in turbid media with strong anisotropic scattering. In this case the computation of a backscattering is mathematically an ill-conditioned problem by using any numerical method of the solution. In the suggested method the backscattering radiance is determined by a SH method as a difference between the exact solution and SAA that essentially reduces the order of a system and smoothes the solution at any degree of an anisotropy scattering. As SAA the small angle modification of spherical harmonics method is chosen, which has a form of series of spherical harmonics that also enables to present a backscattering analytically. The calculation of medium parameters in model is made according to the Mie theory in the form of series of spherical harmonics, that allows to take into account the effect of physical properties of the medium on the radiation reflection.

Citation Download Citation

Vladimir P. Boudak, Alexis V. Kozelsky, and Eugene N. Savitsky "Mathematical model of solar radiation reflection by underlying surface", Proc. SPIE 5396, Tenth Joint International Symposium on Atmospheric and Ocean Optics/Atmospheric Physics. Part I: Radiation Propagation in the Atmosphere and Ocean, (27 February 2004); https://doi.org/10.1117/12.548329

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