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Magnetic Doppler Imaging: Mathematical Basis

Published online by Cambridge University Press:  13 January 2006

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 the Magnetic Doppler Imaging problem. We show that the underlying inverse problem based on all 4 Stokes parameters is well-posed and thus has a unique solution. The only purpose of regularization is to suppress instabilities induced by sparse sampling of phase and/or wavelength when dealing with practical data. Therefore, the final solution is stable with respect to the initial guess and is not affected by the selection of a specific type of regularization.

Type
Research Article
Copyright
© EAS, EDP Sciences, 2005

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