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Article Dans Une Revue Journal de Mathématiques Pures et Appliquées Année : 2014

Target detection and characterization from electromagnetic induction data

Résumé

The goal of this paper is to contribute to the field of nondestructive testing by eddy currents. We provide a mathematical analysis and a numerical framework for simulating the imaging of arbitrarily shaped small-volume conductive inclusions from electromagnetic induction data. We derive, with proof, a small-volume expansion of the eddy current data measured away from the conductive inclusion. The formula involves two polarization tensors: one associated with the magnetic contrast and the second with the conductivity of the inclusion. Based on this new formula, we design a location search algorithm. We include in this paper a discussion on data sampling, noise reduction, and probability of detection. We provide numerical examples that support our findings.

Dates et versions

hal-00933500 , version 1 (20-01-2014)

Identifiants

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Habib Ammari, Junqing Chen, Zhiming Chen, Josselin Garnier, Darko Volkov. Target detection and characterization from electromagnetic induction data. Journal de Mathématiques Pures et Appliquées, 2014, 101 (1), pp.54-75. ⟨10.1016/j.matpur.2013.05.002⟩. ⟨hal-00933500⟩
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