An eddy currents based procedure for the 3D image reconstruction of defects
in metallic plates from multi-frequency data is presented. In particular,
we exploit the collection of data at different probe positions as well as at
different excitation frequencies in order to improve the amount of information
content, the accuracy of the inverse methodology and its robustness against
the experimental noise. The identification tool we developed, exploits the
geometric A − χ formulation for the solution of the eddy-current forward
problem together with a full nonlinear iterative inversion algorithm based on
the total variation regularization.
