On the Well-Posedness of the Direct and Inverse Problem of Magnetostatics. Part 2
- Authors: Dyakin V.V.1, Kudryashova O.V.1, Rayevskii V.Y.1
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Affiliations:
- Mikheev Institute of Metal Physics, Ural Branch
- Issue: Vol 54, No 10 (2018)
- Pages: 687-697
- Section: Electromagnetic Methods
- URL: https://journals.rcsi.science/1061-8309/article/view/181811
- DOI: https://doi.org/10.1134/S1061830918100030
- ID: 181811
Cite item
Abstract
The main (mathematical) reason is given for the possible nonuniqueness of solution to the inverse problem of magnetostatics, which consists in reconstructing the geometrical and/or physical parameters of a magnet based on a known (measured) resultant magnetic field outside it. Examples of both unique and (essentially) ambiguous solutions to this problem are given. Some techniques for eliminating the nonuniqueness by proper arrangement of the measurement experiment are provided.
About the authors
V. V. Dyakin
Mikheev Institute of Metal Physics, Ural Branch
Email: kudryashova_ov@imp.uran.ru
Russian Federation, Yekaterinburg, 620137
O. V. Kudryashova
Mikheev Institute of Metal Physics, Ural Branch
Author for correspondence.
Email: kudryashova_ov@imp.uran.ru
Russian Federation, Yekaterinburg, 620137
V. Ya. Rayevskii
Mikheev Institute of Metal Physics, Ural Branch
Email: kudryashova_ov@imp.uran.ru
Russian Federation, Yekaterinburg, 620137