The filtering effect of the Tikhonov regularization: Application to eddy-current problems

In this paper one conformal mapping transformation is used to determine the lines of induced currents around one hole into a thin conductor plate. These results are used to preview the measurements that should be obtained in an eddy current testing measurement including a scan over the hole with a uniform field probe. The data obtained analytically is used to invert the problem trying to obtain the current density distribution using the Tikhonov regularization method. The low-pass filtering of this regularization method is clarified in the case of eddy current applications and the reconstruction of the current is obtained.