Statistics – Computation
Scientific paper
Mar 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992jqsrt..47..159z&link_type=abstract
Journal of Quantitative Spectroscopy and Radiative Transfer (ISSN 0022-4073), vol. 47, March 1992, p. 159-170. Research supporte
Statistics
Computation
11
Absorptivity, Planetary Atmospheres, Radiative Transfer, Algorithms, Distribution Functions, Laplace Transformation, Voigt Effect
Scientific paper
The correlated-k 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 ill-conditioned 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 exp -1-beta-tailed line-intensity distribution and a Voigt line profile, the algorithm yields a maximum error in the escape function of less than 3 percent in comparison with line-by-line integrations. The algorithm is sufficiently general to be applicable to a variety of radiative transfer problems in planetary atmospheres.
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