Astronomy and Astrophysics – Astronomy
Scientific paper
May 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...390..583g&link_type=abstract
Astrophysical Journal v.390, p.583
Astronomy and Astrophysics
Astronomy
7
Radiative Transfer, Stars: Chromospheres, Ultraviolet: General
Scientific paper
Radiative transfer employing "second-order" escape probability methods has only been applied in cases where photons undergo complete redistribution (CRD) in each scattering. We develop an approximate radiative transfer equation using generalized escape probabilities, applicable even in the presence of nearly coherent scattering in the damping wings of resonance lines. Solving the derived equation produces so-called second-order accuracy because it accounts for the interception of photons originating deep in the atmosphere by layers closer to the surface, analogous to probabilistic methods in CRD. We also find approximate analytic solutions that can be applied in special regimes and achieve good agreement with accurate numerical results. Because the methods derived are extremely fast, applications to radiative hydrodynamics and multidimensional transfer are anticipated, although refinements to our static plane-parallel approach will be required.
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