2008•The Astrophysical JournalOpen access

Hanle‐Zeeman Redistribution Matrix. III. Solution of the Polarized Line Formation Problem

M. Sampoorna, K. N. Nagendra, Jan Olof Stenflo

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Abstract

The polarized radiative transfer equation is solved numerically, taking into account both the Zeeman absorption matrix and the Hanle-Zeeman redistribution matrix, to obtain line profiles for arbitrary magnetic field strengths, partial frequency redistribution, and scattering-dominated line transitions. The limiting cases of weak-field Hanle scattering and strong-field Zeeman true absorption are retrieved. The intermediate regime, where both Zeeman absorption and scattering effects are important, is studied in some detail. The numerical method is applied to various test cases to illustrate aspects of partial frequency redistribution on line scattering in magnetic fields of arbitrary strength and direction.

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The polarized radiative transfer equation is solved numerically, taking into account both the Zeeman absorption matrix and the Hanle-Zeeman redistribution matrix, to obtain line profiles for arbitrary magnetic field strengths, partial frequency redistribution, and scattering-dominated line transitions. The limiting cases of weak-field Hanle scattering and strong-field Zeeman true absorption are retrieved. The intermediate regime, where both Zeeman absorption and scattering effects are important, is studied in some detail. The numerical method is applied to various test cases to illustrate aspects of partial frequency redistribution on line scattering in magnetic fields of arbitrary strength and direction.

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Available abstract

The polarized radiative transfer equation is solved numerically, taking into account both the Zeeman absorption matrix and the Hanle-Zeeman redistribution matrix, to obtain line profiles for arbitrary magnetic field strengths, partial frequency redistribution, and scattering-dominated line transitions. The limiting cases of weak-field Hanle scattering and strong-field Zeeman true absorption are retrieved. The intermediate regime, where both Zeeman absorption and scattering effects are important, is studied in some detail. The numerical method is applied to various test cases to illustrate aspects of partial frequency redistribution on line scattering in magnetic fields of arbitrary strength and direction.

Key concepts: Zeeman effect, Hanle effect, Physics, Radiative transfer, Scattering, Magnetic field, Atomic physics, Computational physics

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