Title: Partially Coherent Scattering in Stellar Chromospheres. III. A Second-Order Escape Probability Method
Abstract: view Abstract Citations (7) References (26) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Partially Coherent Scattering in Stellar Chromospheres. III. A Second-Order Escape Probability Method Gayley, K. G. Abstract 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. Publication: The Astrophysical Journal Pub Date: May 1992 DOI: 10.1086/171309 Bibcode: 1992ApJ...390..583G Keywords: RADIATIVE TRANSFER; STARS: CHROMOSPHERES; ULTRAVIOLET: GENERAL full text sources ADS | Related Materials (4) Part 1: 1992ApJS...78..549G Part 2: 1992ApJ...390..573G Part 4: 1993ApJ...415..811G Part 5: 2002ApJ...565..545G