Program package for the accurate three dimensional (3D) reconstruction of magnetic fields from the boundary measurements

The problem of magnetic field reconstruction inside a sub-region in R3 from magnetic measurements on the closed boundary of this sub-region is considered. Efficiency of the proposed method, the algorithm and associated software for precision magnet systems are discussed. The results of the software verification and numerical experiments are presented. A comparison between the reconstructed field and the measured field in the M1 magnet of the separator COMBAS is given. Requirements to the position accuracy of sensors consistent with the required accuracy of magnetic field reconstruction are defined. Recommendations on magnetic scheme design for field mapping are given. investigations have been performed at the Flerov Laboratory of Nuclear Reactions, JINR.