Polarization in spectral lines. IV - Resonance polarization in the Hanle effect, collisionless regime

Physics – Atomic Physics

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Line Spectra, Polarization Characteristics, Radiative Transfer, Resonance Scattering, Solar Atmosphere, Solar Magnetic Field, Atomic Physics, Kernel Functions, Magnetic Properties, Tensor Analysis

Scientific paper

The general formalism presented in a previous paper of this series (Landi Degl'Innocenti, 1983) is particularized to deduce the radiative transfer equations for polarized radiation and the statistical equilibrium equations for a multilevel atom in the Hanle-effect collisionless regime. The formulae are developed both in the standard representation and in the representation of the statistical tensors. For resonance scattering in a two-level atom in the presence of a weak magnetic field, in the limiting case of complete depolarization of the ground level, the classical results of the Hanle effect are recovered and the expression of the phase matrix is derived in terms of ordinary rotation matrices. A magnetic kernel is introduced in the formalism, and its main properties are analyzed. In particular, an expression for the magnetic kernel is derived for a turbulent magnetic field and the corresponding phase matrix is evaluated. Finally, the law of scattering is generalized to properly take into account the influence of radiation field anisotropy on the atomic polarization of the ground level (depopulation pumping in the Hanle effect).

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