Local field reconstruction from rotating coil measurements in particle accelerator magnets

Abstract

In this paper a general approach to reconstruct three dimensional field solutions in particle accelerator magnets from distributed magnetic measurements is presented. To exploit the locality of the measurement operation a special discretization of the Laplace equation is used. Extracting the coefficients of the field representations yields an inverse problem which is solved by Bayesian inversion. This allows not only to pave the way for uncertainty quantification, but also to derive a suitable regularization. The approach is applied to rotating coil measurements and can be extended to any other measurement procedure.

References in corpus (3)

• High order time integrators for the simulation of charged particle motion in magnetic quadrupoles
• Accurate computation of conditional expectation for highly non-linear problems
• Accurate Taylor transfer maps for large aperture iron dominated magnets used in charged particle separators and spectrometers

Cited by in corpus (1)

• Error Approximation and Bias Correction in Dynamic Problems using a Recurrent Neural Network/Finite Element Hybrid Model