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One Approach to the Numerical Solution of the Basic Equation of Magnetostatics for a Finite Cylinder in an Arbitrary External Field

  • ELECTROMAGNETIC METHODS
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Abstract—

We consider the direct problem of magnetostatics of calculating the strength of the resulting magnetic field of a uniform cylinder of finite dimensions placed in an external magnetic field of arbitrary configuration. With the help of rather lengthy analytical transformations using the basic properties of hypergeometric and Legendre functions, the solution of the basic three-dimensional magnetostatic equation for this configuration is reduced to solving a number of systems of three one-dimensional linear integral equations. A simplified form of these systems is obtained for the special cases of a constant external field and the resulting field on the cylinder axis.

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Funding

This work was carried out within the framework of the state order on the topic “Quantum,” no. AAAA-A18-118020190095-4 and with partial support within project no. 18-10-2-8 of the Program of the Ural Branch of the Russian Academy of Sciences.

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Authors and Affiliations

  1. Mikheev Institute of Metal Physics, Ural Branch, Russian Academy of Sciences, 620137, Yekaterinburg, Russia

    V. V. Dyakin, O. V. Kudryashova & V. Ya. Raevskii

Authors
  1. V. V. Dyakin
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  2. O. V. Kudryashova
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  3. V. Ya. Raevskii
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Correspondence to O. V. Kudryashova or V. Ya. Raevskii.

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Dyakin, V.V., Kudryashova, O.V. & Raevskii, V.Y. One Approach to the Numerical Solution of the Basic Equation of Magnetostatics for a Finite Cylinder in an Arbitrary External Field. Russ J Nondestruct Test 57, 291–302 (2021). https://doi.org/10.1134/S1061830921040045

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  • DOI: https://doi.org/10.1134/S1061830921040045

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