On the Well-Posedness of the Direct and Inverse Problem of Magnetostatics. Part 2


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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


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