Determination of cavity shape and size in homogeneously magnetized magnets within the framework of a two-dimensional model

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For extended uniformly magnetized bodies, a practical implementation of a numerical algorithm for solving an integral-differential equation on a function that defines the localization, shape, and size of a cavity in such a magnet based on the measured resulting field outside of it has been investigated. A program in the FORTRAN language that implements the above algorithm has been compiled. As a test and illustrative example of the studied algorithm for a uniformly magnetized cylindrical magnet, the shape, dimensions, and position of a non-coaxial cylindrical cavity in the magnet have been reconstructed.

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作者简介

V. Dyakin

M.N. Mikheev Institute of Metal Physics of the Ural Branch of the Russian Academy of Sciences

Email: kudryashova_ov@imp.uran.ru
俄罗斯联邦, 620108, Yekaterinburg, S. Kovalevskoy St., 18

O. Kudryashova

M.N. Mikheev Institute of Metal Physics of the Ural Branch of the Russian Academy of Sciences

编辑信件的主要联系方式.
Email: kudryashova_ov@imp.uran.ru
俄罗斯联邦, 620108, Yekaterinburg, S. Kovalevskoy St., 18

V. Raevskii

M.N. Mikheev Institute of Metal Physics of the Ural Branch of the Russian Academy of Sciences

Email: raevskii@imp.uran.ru
俄罗斯联邦, 620108, Yekaterinburg, S. Kovalevskoy St., 18

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补充文件

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1. JATS XML
2. Fig. 1. Magnet in an external field, two-dimensional model.

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3. Fig. 2. Section of a magnet with an internal cavity.

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4. Fig. 3. Section of a cylindrical magnet with a cylindrical cavity.

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5. Fig. 4. Section of an infinite cylindrical magnet.

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6. Fig. 5. Approaching the cross-section of a cavity in a magnet with increasing degree of the approximating trigonometric polynomial.

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