A Comparison of Different Formulations for an Inverse Source Magnetostatic Problem

The resolution of inverse problems is a quite common task in the diagnostic processes based on electromagnetic field measurements, in particular when internal characteristics of the object under test are to be estimated from external measurements. This class of problems are well known to be ill posed, and a number of different techniques have been proposed to make the estimation process reliable. In this paper, with reference to an application in the framework of low frequency magnetic fields measurements, the effects of different choices for the degrees of freedom are discussed, with the aim of improving the solution reliability.