Eur. Phys. J. AP 19, 141-150 (2002)
DOI: 10.1051/epjap:2002060

Resolution of a linear and a nonlinear inverse problem in magnetostatics

S. Bégot¹, E. Artioukhine², P. Hiebel¹ and J.M. Kauffmann<sup>1

1</sup>  L2ES LRE T 31, IGE, 2 avenue Jean Moulin, 90000 Belfort, France
²  CREST UMR 6000, IGE, 2 avenue Jean Moulin, 90000 Belfort, France

sylvie.begot@univ-fcomte.fr

(Received: 10 December 2001 / Received in final form: 28 May 2002 / Accepted: 31 May 2002 Published online: 24 July 2002 )

Abstract
This paper deals with the solution of inverse problems in magnetostatics. The cases the authors have broached are finding the current density or positions of air coils on the basis of magnetic field measurements. These problems are ill-posed, so regularization techniques are needed. The authors discuss the main iterative regularization principles, and the stability issues of these inverse problems. This method is applied to MRI magnets. Numerical results are presented.

PACS
41.20.Gz - Magnetostatics; magnetic shielding, magnetic induction, boundary-value problems.
02.60.Pn - Numerical optimization.
85.25.Ly - Superconducting magnets; magnetic levitation devices.


© EDP Sciences 2002

What is OpenURL?