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Magnetic Doppler Imaging: Mathematical Basis

Published online by Cambridge University Press:  13 January 2006

G. Alecian ,
O. Richard ,
S. Vauclair  and
N. Piskunov
N. Piskunov*
Affiliation:
Dept. of Astronomy & Space Physics, Uppsala University, 751 20 Uppsala, Sweden
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Abstract

We address important mathematical properties of solutions of theMagnetic Doppler Imaging problem. We show that the underlyinginverse problem based on all 4 Stokes parameters is well-posed andthus has a unique solution. The only purpose of regularization is tosuppress instabilities induced by sparse sampling of phase and/orwavelength when dealing with practical data. Therefore, the finalsolution is stable with respect to the initial guess and is notaffected by the selection of a specific type of regularization.

Type
Research Article
Information
European Astronomical Society Publications Series , Volume 17: Element Stratification in Stars: 40 Years of Atomic Diffusion , 2005 , pp. 245 - 250
Copyright
© EAS, EDP Sciences, 2005

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