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Calculating the Strength of Magnetic Field from a Homogeneous Cylinder of Finite Dimensions Placed in an Arbitrary External Field

  • ELECTROMAGNETIC METHODS
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Abstract

An algorithm is presented for finding the strength of the resulting magnetic field inside and outside a homogeneous cylinder of finite dimensions placed in an external magnetic field of arbitrary configuration. In its main part, the algorithm is reduced to solving a certain number of systems of three one-dimensional linear integral equations. The difficulties and ways to overcome them when discretizing these equations for the corresponding software implementation are described. The results of the work of a computer program implementing the described algorithm in extreme special cases and known analytical solutions are compared.

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Funding

This work was carried out within the framework of the state task on topic “Quantum,” project no. AAAA-А18-118020190095-4.

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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. Calculating the Strength of Magnetic Field from a Homogeneous Cylinder of Finite Dimensions Placed in an Arbitrary External Field. Russ J Nondestruct Test 58, 308–319 (2022). https://doi.org/10.1134/S1061830922040052

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  • DOI: https://doi.org/10.1134/S1061830922040052

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