Non-LTE line formation in a magnetic field - The two-level atom with a frequency independent source function. I - Formulation

Details Non-LTE line formation in a magnetic field - The two-level atom with a frequency independent source function. I - Formulation Non-LTE line formation in a magnetic field - The two-level atom with a frequency independent source function. I - Formulation

May 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978a%26a....66..119l&link_type=abstract

(Workshop on Measurements and Interpretation of Polarization Arising in the Solar Chromosphere, Lund, Sweden, May 9-13, 1977.) A

Physics

3

Atomic Energy Levels, Stellar Atmospheres, Stellar Magnetic Fields, Stellar Spectra, Asymptotic Methods, Atmospheric Physics, Integral Equations, Kernel Functions, Line Spectra, Optical Thickness

Scientific paper

Non-LTE line formation in a plane-parallel semiinfinite atmosphere without macroscopic velocity fields but with a homogeneous magnetic field is considered for a two-level atom with the lower level having J = 0 and the upper level, J' = 1. The following simplifying assumptions are made: (1) the magnetic field is sufficiently strong that the separation among the Zeeman sublevels is much greater than their natural and collisional widths; (2) Doppler broadening and the line damping constant are independent of depth; (3) the continuum is formed in LTE; (4) there is complete frequency redistribution over each Zeeman sublevel; and (5) complete atomic-level depolarization occurs in the excited state. A system of coupled integral equations for the source functions of the Zeeman sublevels is obtained and solved, and the asymptotic behavior of the kernels is evaluated for Doppler as well as Lorentzian profiles. It is shown that the behavior of the kernels in the case of Doppler profiles is independent of both the amplitude and the inclination of the magnetic field and that the results obtained for Lorentzian profiles may be strongly modified by the inclusion of magnetooptical effects.

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