  This paper is concerned with Eddy-Current (EC) nondestructive testing of
conductive materials and focuses, in particular, on extending the well-known
LinearSampling 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.
