Radiative Transfer in Stochastic Media

Details Radiative Transfer in Stochastic Media Radiative Transfer in Stochastic Media

Sep 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995apj...450..318g&link_type=abstract

Astrophysical Journal v.450, p.318

Astronomy and Astrophysics

Astronomy

5

Radiative Transfer

Scientific paper

We review some basic concepts arising in the study of radiative transfer in a stochastic atmosphere and consider their application to realistic atmospheric models. In particular, we examine the theory of Lindsey and Jefferies which deals with multicomponent atmospheres whose stochastic nature is entailed in the morphology of a network of boundaries separating different atmospheric components. This theory is based on the Markov assumption, that the probability, per unit path length along a ray, for transition into another component 15 independent of the distance already traveled in the current component. We examine the applicability of the theory to models that are non-Markovian, paying particular attention to the assignment of transition rates of such atmospheres. We consider in detail transition probabilities for spherical, tubular, conical, and other fluted structures, and show how the effects of overlap are to be incorporated for the case of a two-component atmosphere. Comparisons of results obtained from the theory of Lindsey and Jefferies with those found from Monte Carlo calculations, for models based on identical structures randomly embedded into an ambient medium, show that the Markov assumption promises to be a good approximation for the determination of the statistics of radiative transfer in a wide variety of stochastic atmospheres, even when they are markedly non-Markovian.

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