Radiative transfer in spatially heterogeneous, two-dimensional anisotropically scattering media

Mathematics

Scientific paper

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Anisotropic Media, Fourier Series, Radiative Transfer, Riccati Equation, Scattering Functions, Transfer Functions, Earth Atmosphere, Fourier Transformation, Matrices (Mathematics), Monte Carlo Method, Thermal Radiation

Scientific paper

A method is presented for solving the radiative transfer equation for a general anisotropically scattering and emitting medium exposed to arbitrary boundary radiation conditions. The method allows, in principle, for quite arbitrary spatial variability in the scattering and extinction and general solution procedures, based on the principles of invariant imbedding, which are applied in the form of doubling algorithms to obtain solutions for optically thick media. Some selected results are shown to demonstrate the versatility of the approach.

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