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 on probability of detection. We provide numerical examples that support our findings.
@article{arxiv.1210.7915,
title = {Target Detection and Characterization from Electromagnetic Induction Data},
author = {Habib Ammari and Junqing Chen and Zhiming Chen and Josselin Garnier and Darko Volkov},
journal= {arXiv preprint arXiv:1210.7915},
year = {2013}
}