Mathematics – Probability
Scientific paper
Dec 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993jqsrt..50..655p&link_type=abstract
Journal of Quantitative Spectroscopy & Radiative Transfer (ISSN 0022-4073), vol. 50, no. 6, p. 655-671
Mathematics
Probability
15
Clouds (Meteorology), Correlation, Light Scattering, Media, Planetary Surfaces, Radiative Transfer, Stochastic Processes, Transport Theory, Algorithms, Computer Programs, Interpolation, Mathematical Models
Scientific paper
New radiative transfer theory is developed for stochastically inhomogeneous scattering media. The three-dimensional shapes and large scale (compared to the mean free path) structures of the media are modeled by stochastic interfaces separating regions of different scattering properties. The small scale fluctuations are characterized by a pair-correlation function. The radiative transfer equation is extended to include individual scattering and propagation probabilities of a ray for each subregion as well as the probability for a ray to cross the interface between two subregions. The propagation probability is found to depend on the entire preceding path of the ray; the present formulation accounts for the two previous scatterings. A new adding/doubling algorithm is developed to solve this problem numerically. Transmission through a cloud layer and backward scattering seem to be particularly sensitive to inhomogeneities.
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