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
No takes yet. Share an insight, caveat, or question.
Hobson et al. (1993) studied this question.