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Resolution of a linear and a nonlinear inverse problem in magnetostatics

Published online by Cambridge University Press:  24 July 2002

S. Bégot ,
E. Artioukhine ,
P. Hiebel  and
J. M. Kauffmann
S. Bégot*
Affiliation:
L2ES LRE T 31, IGE, 2 avenue Jean Moulin, 90000 Belfort, France
E. Artioukhine
Affiliation:
CREST UMR 6000, IGE, 2 avenue Jean Moulin, 90000 Belfort, France
P. Hiebel
Affiliation:
L2ES LRE T 31, IGE, 2 avenue Jean Moulin, 90000 Belfort, France
J. M. Kauffmann
Affiliation:
L2ES LRE T 31, IGE, 2 avenue Jean Moulin, 90000 Belfort, France
*
[email protected]
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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.

Keywords

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 19 , Issue 2 , August 2002 , pp. 141 - 150
Copyright
© EDP Sciences, 2002

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