Resonance-line polarization. III - The Hanle effect in a compact non-LTE radiative transfer formulation

Details Resonance-line polarization. III - The Hanle effect in a compact non-LTE radiative transfer formulation Resonance-line polarization. III - The Hanle effect in a compact non-LTE radiative transfer formulation

May 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978a%26a....66..241s&link_type=abstract

Astronomy and Astrophysics, vol. 66, no. 1-2, May 1978, p. 241-248.

Astronomy and Astrophysics

Astrophysics

25

Magnetic Resonance, Polarized Electromagnetic Radiation, Radiative Heat Transfer, Solar Corona, Solar Magnetic Field, Thermodynamic Equilibrium, Chromosphere, Electromagnetic Scattering, Line Spectra, Solar Spectra

Scientific paper

The interference effects collectively referred to as the Hanle effect were previously incorporated into a non-LTE theory for the transfer of polarized radiation in the special case of zero magnetic fields, and that theory was applied to numerical calculations of polarization in solar UV emission lines. This paper extends the theory to include interference effects in the radiative-transfer equation in the case of arbitrary nonzero magnetic fields that are weak in the sense that Zeeman splitting is small in comparison with the Doppler line width. The density-matrix results of Omont et al. (1973) are transformed to obtain the phase matrix and line emission in a Stokes-vector representation of light and are then combined with the non-LTE formalism previously developed for the nonmagnetic case. The behavior of the phase matrix is illustrated by computing the polarization of scattered light for a number of scattering processes. It is noted that the magnetic-field vector cannot be determined uniquely from Hanle-effect measurements in a single spectral line and that the Hanle effect appears to offer a unique possibility for constructing three-dimensional vector magnetic-field maps of the upper solar atmosphere.

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