The correlatedk coefficients calculated by random band models.
Abstract
The correlatedk coefficient for the cumulative distribution of the absorption coefficient in random band models is calculated with a computationally efficient algorithm based on a numerical inverse Laplace transform. A scaling transformation is introduced to partially eliminate the illconditioned behavior around the singularity point. In the region very close to the singularity, an analytic expression for the k coefficient derived for the Malkmus model is used to match the whole solution. The algorithm yields accurate k coefficients with a maximum error for a few percent. When applied to the random band model with an S^{1ß}tailed line intensity distribution and a Voigt line profile, the algorithm yields a maximum error in the escape function of <3% in comparison with linebyline integrations. The algorithm is sufficiently general to be applicable to a variety of radiative transfer problems in planetary atmospheres.
 Publication:

Journal of Quantitative Spectroscopy and Radiative Transfer
 Pub Date:
 March 1992
 DOI:
 10.1016/00224073(92)90025Y
 Bibcode:
 1992JQSRT..47..159Z
 Keywords:

 Absorptivity;
 Planetary Atmospheres;
 Radiative Transfer;
 Algorithms;
 Distribution Functions;
 Laplace Transformation;
 Voigt Effect;
 Thermodynamics and Statistical Physics