Astronomy and Astrophysics – Astronomy
Scientific paper
Sep 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993mnras.264..145h&link_type=abstract
Monthly Notices of the Royal Astronomical Society, Vol. 264, NO. 1/SEP1, P. 145, 1993
Astronomy and Astrophysics
Astronomy
32
Radiative Transfer - Scattering - Ism: Clouds - Dust, Extinction
Scientific paper
The equation for the transfer of continuum photons in a multiphase scattering medium, which obeys Markov mixing statistics, is solved for an externally illuminated slab geometry. The slab is assumed to consist of N distinct phases containing dust grains which both absorb and isotropically scatter photons. The variation with position of the extinction coefficient and dust-grain albedo is modelled by an N-state Markov process which, together with a `non-local transport approximation', allows us to calculate analytical general and `effective homogeneous' solutions for the average radiation field in each phase as a function of depth into the slab. Numerical examples for two- and three-phase hierarchical media show the average radiation intensities inside the slab to be, in some cases, significantly enhanced by the inclusion of a third phase.
Hobson Michael P.
Scheuer Peter A. G.
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