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Fast Iterative Techniques for Polarized Radiative Transfer in Spherically Symmetric Moving Media

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dc.contributor.author Megha, A
dc.contributor.author Sampoorna, M
dc.contributor.author Nagendra, K. N
dc.contributor.author Anusha, L. S
dc.contributor.author Sankarasubramanian, K
dc.date.accessioned 2021-02-14T06:41:24Z
dc.date.available 2021-02-14T06:41:24Z
dc.date.issued 2020-11-01
dc.identifier.citation The Astrophysical Journal, Vol. 903, No. 1, 6 en_US
dc.identifier.issn 0004-637X
dc.identifier.uri http://hdl.handle.net/2248/7656
dc.description Restricted Access © The American Astronomical Society https://doi.org/10.3847/1538-4357/abb6f4 en_US
dc.description.abstract For a more precise modeling of polarized spectral lines formed in extended and expanding stellar atmospheres, the solution of the radiative transfer equation for the Stokes vectors must be obtained in a spherical geometry rather than in a planar geometry. In this paper, we present the modern iterative techniques based on operator perturbation to solve the spherically symmetric polarized radiative transfer equation with velocity fields. We consider scattering on a two-level atom and account for partial frequency redistribution. An accurate numerical solution to such problems requires the use of spatial grids with higher resolution. Consequently, Jacobi-based methods lead to slower convergence rate. The convergence rate can be improved by a factor of 2 or more when fast iterative schemes based on Gauss–Seidel (GS) and successive overrelaxation (SOR) methods are used over the Jacobi-based method. Here we present the Jacobi, GS, and SOR iterative techniques for solving the abovementioned problem, and discuss their convergence behavior. en_US
dc.language.iso en en_US
dc.publisher IOP Publishing en_US
dc.subject Solar atmosphere en_US
dc.subject Radiative transfer equation en_US
dc.subject Spectropolarimetry en_US
dc.subject Computational methods en_US
dc.subject Radiative transfer simulations en_US
dc.title Fast Iterative Techniques for Polarized Radiative Transfer in Spherically Symmetric Moving Media en_US
dc.type Article en_US

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