Eur. Phys. J. AP 12, 123-131 (2000)
https://doi.org/10.1051/epjap:2000179

Resolution of linear magnetostatic inverse problem using iterative regularization^*

¹ ALSTOM Industries c/o IGE, 2 avenue Jean Moulin, 90000 Belfort, France
² IGE, 2 avenue Jean Moulin, 90000 Belfort, France

Corresponding author: begot@ige.univ-fcomte.fr

Received: 18 May 2000
Revised: 7 August 2000
Accepted: 7 September 2000
Published online: 15 November 2000

Abstract

This paper deals with the solution of linear inverse problems in magnetostatics. The case the authors have broached is finding the current density on the basis of magnetic field values. Solving this kind of equation is an ill-posed problem. Exact magnetic field values and measured values lead to different cases, each of which is presented. To solve them, the authors use the conjugate gradient method with iterative regularization. They present numerical results for the design of magnets, gradient and shim coils, and numerical results for the problem of recovering current density values from measured field values.