Auxiliary functions for radiative transfer problems in plane-parallel geometry. II. The semi-infinite medium.

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Radiative Transfer: Numerical Methods

Scientific paper

Following their study of the auxiliary functions occurring in radiative transfer problems posed in plane-parallel geometry, the authors take up the semi-infinite case (homogeneous media with isotropic light scattering). After some comments on the simplest function (the H-function), which is well-known, the authors introduce and study several more intricate functions arising in the description of the radiation field within the half-space. The most complicated example is the Green function solution for internal source problems. The integro-differential properties of these auxiliary functions are discussed, and their exact analytical expressions derived. From the latter, the authors deduce efficient algorithms for the calculation of these functions. The authors give ten-digit tables of two of them, φ and η, which can be considered as building blocks for the construction of the other functions.

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