Reconstruction of Transient Currents from Magnetic Data: Inverse Problem Formulation Employing High Order Surface Impedance Boundary Conditions

摘要

The reconstruction of transient currents flowing in parallel conductors is achieved by means of a new time domain Boundary Integral Equation (BIE) formulation involving Mitzner's and Rytov's high order Surface Impedance Boundary Conditions (SIBCs). Input data of the inverse problem are the magnetic fields at given locations near the conductors. In order to validate the inversion algorithm, the magnetic field data are computed solving the direct problem with FEM for given current waveforms. The improvement in accuracy of the inverse solution employing high-order instead of low-order SIBCs is demonstrated numerically.