Efficient methods to calculate Chandrasekhar's H-functions

Astronomy and Astrophysics – Astrophysics

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Atmospheric Scattering, Chandrasekhar Equation, Planetary Atmospheres, Radiative Transfer, Convergence, Iteration, Rayleigh Scattering, Scalars

Scientific paper

Three methods of determining H-functions which can be used for a large variety of atmospheres are presented. The methods consist of iteration of an alternative form of an equation derived by Chandrasekhar (1947) and upgrading of the successive approximations in order to obtain convergence or to improve already existing convergence. Each method gives rapid convergence for scattering problems, including determination of the H-functions of the azimuth-independent part of the reflection functions at near-conservative and conservative scattering. The results obtained for isotropic scattering, linearly anisotropic scattering, and Rayleigh scattering disregarding polarization are given.

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