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.
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Original Russian Text © V.V. Dyakin, O.V. Kudryashova, V.Ya. Rayevskii, 2018, published in Defektoskopiya, 2018, No. 10, pp. 15–24.
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Dyakin, V.V., Kudryashova, O.V. & Rayevskii, V.Y. On the Well-Posedness of the Direct and Inverse Problem of Magnetostatics. Part 2. Russ J Nondestruct Test 54, 687–697 (2018). https://doi.org/10.1134/S1061830918100030
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DOI: https://doi.org/10.1134/S1061830918100030