On the numerical characteristics of an inverse solution for three-term radiative transfer

Mathematics – Probability

Scientific paper

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Atmospheric Radiation, Radiation Distribution, Radiative Transfer, Scattering Functions, Algorithms, Approximation, Monte Carlo Method, Polynomials, Probability Density Functions, Scattering Coefficients

Scientific paper

Certain numerical characteristics of an inverse formulation for three-term scattering radiative transfer are investigated. Specifically, approximate solutions to the direct problem are constructed by the FN and Monte Carlo methods, allowing approximation of the various surface angular moments and related quantities needed for the inverse calculation. Several numerical schemes are employed in order to demonstrate the computational characteristics for some specific phase functions. The numerical results indicate that the single-scatter albedo can be calculated fairly consistently and accurately, but the higher order coefficients of the scattering law are more difficult to obtain by this method.

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