Inverse problem of in situ photometry of scattered solar radiation in a planetary atmosphere: reconstruction of the characteristics of atmospheric scattering. Mathematical apparatus and numerical experiments.

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Planetary Atmospheres: Solar Radiation, Planetary Atmospheres: Radiative Transfer

Scientific paper

An inverse problem of radiative transfer is considered that enables one to reconstruct vertical profiles of the parameters that determine radiative transfer in an optically thick planetary atmosphere from measurements of the spatial and angular dependence of scattered solar radiation in the atmosphere. These parameters may be expressed in terms of the extinction coefficient and the co-efficients of an expansion of the scattering phase function in Legendre polynomials. This inverse problem includes numerical differentiation of measurements with respect to altitude and is therefore ill-posed. Turchin's method of statistical regularization is used for its solution. The results of two numerical experiments are presented, simulating measurements and the reconstruction procedure for model atmospheres with conservative (ω0 = 1) and nonconservative (ω0 = 0.95) scattering.

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