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The paper discusses the specificities of solving the inverse problem of reconstructing the magnetic susceptibility using complete tensor magnetic gradient data. This problem reduces to solving a system of two… Click to show full abstract
The paper discusses the specificities of solving the inverse problem of reconstructing the magnetic susceptibility using complete tensor magnetic gradient data. This problem reduces to solving a system of two three-dimensional Fredholm integral equations of the first kind, one of which relates the magnetic susceptibility of a bounded body to the magnetic field induced by it and the other, to the full magnetic induction gradient tensor. For a series of model examples, it is demonstrated that the use of the full magnetic induction gradient tensor significantly improves the quality of the reconstructed function that determines the magnetic susceptibility.
Journal Title: Computational Mathematics and Mathematical Physics
Year Published: 2020
Link to full text (if available)
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