Near-field linear sampling method for axisymmetric eddy current tomography. Haddar, H. & Riahi, M. Inverse Problems, 2021. ![Near-field linear sampling method for axisymmetric eddy current tomography [link]](https://bibbase.org/img/filetypes/link.svg "link")
Paper doi abstract bibtex This paper is concerned with eddy-current (EC) nondestructive testing of conductive materials and focuses, in particular, on extending the well-known linear sampling method (LSM) to the case of EC equations. We first present the theoretical foundation of the LSM in the present context and in the case of point sources. We then explain how this method can be adapted to a realistic setting of EC probes. In the case of identifying the shape of external deposits from impedance measurements taken from inside of the tube (steam generator), we show how the method can be applied to measurements obtained from a sweeping set of coils. Numerical experiments suggest that good results can be achieved using only a few coils and even in the limiting case of backscattering data. © 2021 IOP Publishing Ltd.
@ARTICLE{Haddar2021,
author={Haddar, H. and Riahi, M.K.},
title={Near-field linear sampling method for axisymmetric eddy current tomography},
journal={Inverse Problems},
year={2021},
volume={37},
number={10},
doi={10.1088/1361-6420/ac1c50},
art_number={105002},
url={https://www.scopus.com/inward/record.uri?eid=2-s2.0-85115133176&doi=10.1088%2f1361-6420%2fac1c50&partnerID=40&md5=cb8471176dcfcb6181fbb62912b8607f},
affiliation={INRIA, Ecole Polytechnique (CMAP), Universit Saclay Ile de France, Route de Saclay, Palaiseau, 91128, France; Department of Mathematics, Khalifa University of Sciences and Technology, P.O. Box 127788, Abu Dhabi, United Arab Emirates; Emirates Nuclear Technology Center (ENTC), Khalifa University of Science and Technology, United Arab Emirates},
abstract={This paper is concerned with eddy-current (EC) nondestructive testing of conductive materials and focuses, in particular, on extending the well-known linear sampling method (LSM) to the case of EC equations. We first present the theoretical foundation of the LSM in the present context and in the case of point sources. We then explain how this method can be adapted to a realistic setting of EC probes. In the case of identifying the shape of external deposits from impedance measurements taken from inside of the tube (steam generator), we show how the method can be applied to measurements obtained from a sweeping set of coils. Numerical experiments suggest that good results can be achieved using only a few coils and even in the limiting case of backscattering data. © 2021 IOP Publishing Ltd.},
author_keywords={eddy-current; impedance measurement; inverse imaging; linear sampling method; non destructivetesting; tomography of deposits},
document_type={Article}
}
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