Magnetic Doppler Imaging: Mathematical Basis
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.
- Publication:
-
EAS Publications Series
- Pub Date:
- 2005
- DOI:
- 10.1051/eas:2005120
- Bibcode:
- 2005EAS....17..245P