# Magnetisation moment of a bounded 3D sample: asymptotic recovery from planar measurements on a large disk using Fourier analysis

@inproceedings{Ponomarev2022MagnetisationMO, title={Magnetisation moment of a bounded 3D sample: asymptotic recovery from planar measurements on a large disk using Fourier analysis}, author={Dmitry Ponomarev}, year={2022} }

. We consider the problem of reconstruction of the overall magnetisation vector (net moment) of a sample from partial data of the magnetic ﬁeld. Namely, motivated by a concrete experimental set-up, we deal with a situation when the magnetic ﬁeld is measured on a portion of the plane in vicinity of the sample and only one (normal to the plane) component of the ﬁeld is available. We assume the measurement area to be a suﬃciently large disk (lying in a horizontal plane above the sample) and we…

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