Bibcode
Trujillo Bueno, J.; Landi Degl'Innocenti, E.
Bibliographical reference
Solar Physics, Volume 164, Issue 1-2, pp. 135-153
Advertised on:
3
1996
Journal
Citations
31
Refereed citations
24
Description
The development of effective iterative methods capable of accurately
solving NLTE Stokes transfer problems is of considerable importance for
the investigation of solar and stellar magnetic fields. After briefly
indicating the iterative approach which is being presently pursued for
the exact solution of such problems, the particular regime where
polarization signals can only be due to the Zeeman effect is considered
in some detail. By means of NLTE Stokes transfer calculations for a
two-level atomic model it is first shown that the currently-used
field-free approximation (Rees, 1969) cannot be safely applied in the
presence of magnetic field gradients. Such gradients lead to changes in
the shape and width of the line profiles and they can produce
non-negligible effects on the atomic level populations and line source
functions. A new approximate method is then proposed, which does not
require the actual solution of the Stokes vector transfer equation and
is practically as fast as the field-free one. This polarization-free
approximation provides a fairly good account of the effects of
homogeneous and inhomogeneous magnetic fields on the statistical
equilibrium and is very easy to implement in any existing non-magnetic,
multi-level transfer code.