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Non-LTE line formation in a magnetic field

I: Non-coherent scattering and true absorption

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Abstract

The formation of a Zeeman-multiplet by noncoherent scattering and true absorption in a Milne-Eddington atmosphere is considered assuming a homogeneous magnetic field and complete depolarization of the atomic line levels. The transfer equation for the Stokes parameters is transformed into a scalar integral equation of the Wiener-Hopf type which is solved by Sobolev's method in closed form. The influence of the magnetic field on the mean scattering number in an infinite medium is discussed.

The solution of the line formation problem is obtained for a Planckian source function of the form

$$B(T(\tau )) = B_0 (1 + A_{0\tau } + \sum\limits_{i = 1}^N {A_i \exp ( - ai\tau ))}$$

This solution may be simplified by making the ‘finite field approximation’, which should be sufficiently accurate for practical purposes.

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Authors and Affiliations

  1. Zentralinstitut für Astrophysik, Potsdam, D.D.R.

    H. Domke

  2. Zentralinstitut für solar-terrestrische Physik (HHI), Sonnenobservatorium Einsteinturm, Potsdam, D.D.R.

    J. Staude

Authors
  1. H. Domke
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  2. J. Staude
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Domke, H., Staude, J. Non-LTE line formation in a magnetic field. Sol Phys 31, 279–289 (1973). https://doi.org/10.1007/BF00152805

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  • DOI: https://doi.org/10.1007/BF00152805

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