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

Article type: Research Article

Authors: Chevillard, Sylvain^a | Leblond, Juliette^a | Mavreas, Konstantinos^a;

Affiliations: [a] INRIA, Sophia Antipolis Cedex, France

Correspondence: [*] Corresponding author: Konstantinos Mavreas, INRIA, 2004 route des Lucioles, BP 93, 06902, Sophia Antipolis Cedex, France. E-mail: konstantinos.mavreas@inria.fr

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.

Keywords: Inverse problems, magnetic dipole, source estimation, rational approximation, Moon rocks

DOI: 10.3233/JAE-171033

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 59, no. 1, pp. 209-215, 2019