Reconstruction of planar magnetic charge distribution

Abstract

This paper discusses reconstruction of magnetic charge distribution on a planar region for non-destructive evaluation. Reconstruction is performed by using the magnetic fields measured on a plane above the charge region as input data. The present method needs only one matrix inversion whose computational time is expected to be shorter than the method based on optimization processes. It is shown that the reconstruction is successful when the unknown vector is appropriately regularized in order that the corresponding singular vectors become smooth. The L-curve method works well for determination of the value of the regularization parameter.