THREE-DIMENSIONAL NUMERICAL LOCALIZATION OF IMPERFECTIONS BASED ON A LIMIT MODEL IN ELECTRIC FIELD AND A LIMIT PERTURBATION MODEL

From a limit model in electric field obtained by letting the frequency vanish in the timeharmonicMaxwell equations, we consider a limit perturbation model in the tangentialboundary trace of the curl of the electric field for localizing numerically certain smallelectromagnetic inhomogeneities, in a three-dimensional bounded domain. We introducehere two localization procedures resulting from the combination of this limit perturbationmodel with each of the following inversion processes: the Current Projection method andan Inverse Fourier method. Each localization procedure uses, as data, a finite number ofboundary measurements, and is employed in the single inhomogeneity case; only the onebased on an Inverse Fourier method is required in the multiple inhomogeneities case. Ourlocalization approach is numerically suitable for the context of inhomogeneities that arenot purely electric. We compare the numerical results obtained from the two localizationprocedures in the single inhomogeneity configuration, and describe, in various settingsof multiple inhomogeneities, the results provided by the procedure based on an InverseFourier method.