Reconstruction of two-dimensional magnetization and susceptibility distributions from the magnetic field of soft magnetic materials

We apply a spatial filtering technique to solve the two-dimensional magnetization imaging problem. This allows us to reconstruct the magnetization distribution from the measured magnetic field above a planar soft magnetic sample exposed to an applied magnetic field. Knowledge of the magnetizing field distribution can then be used to determine the susceptibility distribution and hence to obtain information about the material characteristics of the sample. By simulation of an actual experiment, we examine the spatial resolution of the resulting image and discuss the uniqueness of solutions to the inverse problem