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.

中文翻译：

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使用全磁梯度数据重建磁化率

摘要

本文讨论了使用完整张量磁梯度数据解决反演磁化率反问题的特殊性。这个问题简化为求解一个由两个三维三维Fredholm积分方程组成的系统，其中一个将有界物体的磁化率与由它引起的磁场相关，另一个与全磁感应梯度张量相关。对于一系列模型示例，证明了使用全磁感应梯度张量可以显着提高确定磁化率的重构函数的质量。