LTE radiative transfer for polarized hydrogen lines in the weak-field regime.

Astronomy and Astrophysics – Astrophysics

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Magnetic Fields, Polarization, Radiative Transfer, Line: Formation, Atomic Processes

Scientific paper

In this paper we investigate the radiative-transfer problem for polarized hydrogen lines in the regime of weak electric and magnetic fields, and under the hypothesis of LTE. A standard perturbation method is applied which reduces the vector radiative-transfer equation to a set of four de-coupled ODEs for each order of approximation. Our derivation enables us to use previous results for the first- and second-order moments of the polarization profiles of hydrogen lines in the presence of electric and magnetic fields, also accounting for the fine structure contribution. We then get to a generalization of the weak-field solution for the purely magnetic case, which had already been obtained in the literature under the same hypotheses and through the same perturbation approach.

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