Resonance line polarization and the Hanle effect in optically thick media. I - Formulation for the two-level atom

Details Resonance line polarization and the Hanle effect in optically thick media. I - Formulation for the two-level atom Resonance line polarization and the Hanle effect in optically thick media. I - Formulation for the two-level atom

Aug 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990a%26a...235..459l&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 235, no. 1-2, Aug. 1990, p. 459-471.

Astronomy and Astrophysics

Astrophysics

35

Magnetic Fields, Polarization (Waves), Radiative Transfer, Resonance Lines, Solar Atmosphere, Stellar Atmospheres, Energy Levels, Inelastic Collisions, Integral Equations, Multipoles, Stimulated Emission, Wave Propagation, Zeeman Effect

Scientific paper

A general formalism is presented to describe resonance line polarization for a two-level atom in an optically thick, three-dimensional medium embedded in an arbitrary varying magnetic field and irradiated by an arbitrary radiation field. The magnetic field is supposed sufficiently small to induce a Zeeman splitting much smaller than the typical line width. By neglecting atomic polarization in the lower level and stimulated emission, an integral equation is derived for the multipole moments of the density matrix of the upper level. This equation shows how the multipole moments at any assigned point of the medium are coupled to the multipole moments relative at a different point as a consequence of the propagation of polarized radiation between the two points. The equation also accounts for the effect of the magnetic field, described by a kernel locally connecting multipole moments of the same rank, and for the role of inelastic and elastic (or depolarizing) collisions. After having given its formal derivation for the general case, the integral equation is particularized to the one-dimensional and two-dimensional cases. For the one-dimensional case of a plane parallel atmosphere, neglecting both the magnetic field and depolarizing collisions, the equation here derived reduces to a previous one given by Rees (1978).

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