Least squares deconvolution of the stellar intensity and polarization
spectra
release_5veg43cpmfd3lngv7czltwihie
by
O. Kochukhov,
V. Makaganiuk,
N. Piskunov
2010
Abstract
Least squares deconvolution (LSD) is a powerful method of extracting
high-precision average line profiles from the stellar intensity and
polarization spectra. Despite its common usage, the LSD method is poorly
documented and has never been tested using realistic synthetic spectra. In this
study we revisit the key assumptions of the LSD technique, clarify its
numerical implementation, discuss possible improvements and give
recommendations how to make LSD results understandable and reproducible. We
also address the problem of interpretation of the moments and shapes of the LSD
profiles in terms of physical parameters. We have developed an improved,
multiprofile version of LSD and have extended the deconvolution procedure to
linear polarization analysis taking into account anomalous Zeeman splitting of
spectral lines. This code is applied to the theoretical Stokes parameter
spectra. We test various methods of interpreting the mean profiles,
investigating how coarse approximations of the multiline technique translate
into errors of the derived parameters. We find that, generally, the Stokes
parameter LSD profiles do not behave as a real spectral line with respect to
the variation of magnetic field and elemental abundance. This problem is
especially prominent for the Stokes I variation with abundance and Stokes Q
variation with magnetic field. At the same time, the Stokes V LSD spectra
closely resemble profile of a properly chosen synthetic line for the magnetic
field strength up to 1 kG. We conclude that the usual method of interpreting
the LSD profiles by assuming that they are equivalent to a real spectral line
gives satisfactory results only in a limited parameter range and thus should be
applied with caution. A more trustworthy approach is to abandon the single-line
approximation of the average profiles and apply LSD consistently to
observations and synthetic spectra.
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