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Abstract <p>We consider the 2D magnetostatics inverse problem for a uniformly magnetized body and reduce it to a nonlinear 1D integrodifferential equation determining the body (cavity) shape based on the measured strength of the external magnetic field. We design a numerical algorithm for solution of this equation based on minimization of a function of several variables and develop a FORTRAN program implementing this algorithm. To test and illustrate our approach we find a solution for the cross section of a homogeneous infinite cylinder in a nonmagnetic and opaque medium based on the known strength of the external field.</p>

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The 2D Magnetostatics Inverse Problem for a Uniformly Magnetized Body

  • 期刊论文

  • 发表日期：

    2025年2月1日

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

摘要

Abstract

We consider the 2D magnetostatics inverse problem for a uniformly magnetized body and reduce it to a nonlinear 1D integrodifferential equation determining the body (cavity) shape based on the measured strength of the external magnetic field. We design a numerical algorithm for solution of this equation based on minimization of a function of several variables and develop a FORTRAN program implementing this algorithm. To test and illustrate our approach we find a solution for the cross section of a homogeneous infinite cylinder in a nonmagnetic and opaque medium based on the known strength of the external field.