Eur. Phys. J. AP
Volume 19, Number 2, August 2002
|Page(s)||141 - 150|
|Section||Instrumentation and Metrology|
|Published online||24 July 2002|
Resolution of a linear and a nonlinear inverse problem in magnetostatics
L2ES LRE T 31, IGE, 2 avenue Jean Moulin, 90000 Belfort, France
2 CREST UMR 6000, IGE, 2 avenue Jean Moulin, 90000 Belfort, France
Corresponding author: firstname.lastname@example.org
Revised: 28 May 2002
Accepted: 31 May 2002
Published online: 24 July 2002
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
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