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Resolution of linear magnetostatic inverse problem using iterative regularization*

Published online by Cambridge University Press:  15 November 2000

S. Bégot ,
E. Voisin ,
P. Hiebel ,
J. M. Kauffmann  and
E. Artioukhine
S. Bégot*
Affiliation:
ALSTOM Industries c/o IGE, 2 avenue Jean Moulin, 90000 Belfort, France
E. Voisin
Affiliation:
ALSTOM Industries c/o IGE, 2 avenue Jean Moulin, 90000 Belfort, France
P. Hiebel
Affiliation:
IGE, 2 avenue Jean Moulin, 90000 Belfort, France
J. M. Kauffmann
Affiliation:
IGE, 2 avenue Jean Moulin, 90000 Belfort, France
E. Artioukhine
Affiliation:
IGE, 2 avenue Jean Moulin, 90000 Belfort, France
*
begot@ige.univ-fcomte.fr
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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.

Keywords

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 12 , Issue 2 , November 2000 , pp. 123 - 131
Copyright
© EDP Sciences, 2000

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Footnotes

*

This paper has been submitted at NUMELEC 2000.

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