Magnetic Doppler Imaging: Mathematical basis

被引：5
|
作者：
Piskunov, N [1 ]
机构：
[1] Uppsala Univ, Dept Astron & Space Sci, S-75120 Uppsala, Sweden
来源：
Element Stratification in Stars: 40 Years of Atomic Diffusion: MEETING IN HONOUR OF GEORGES MICHAUD | 2005年 / 17卷
关键词：
D O I：
10.1051/eas:2005120
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
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.
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页码：245 / 250
页数：6
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