Dipole recovery from sparse measurements of its field on a cylindrical geometry

Abstract

We consider the inverse problem of recovering the position and moment of a magnetic dipole from sparse measurements of the field it generates, known on sections of three orthogonal cylinders enclosing it. This problem is motivated by recent measurements performed on Moon rocks, in view of determining their magnetic properties. The key ingredient of the presented method is the use of rational approximation techniques, together with properties of the poles of the approximants, in order to estimate the position of the dipole.