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.

翻译：本文介绍了从分布式磁测量中重建粒子加速器磁铁的三维场解决办法的一般方法。为了利用测量作业的地点,使用了拉普尔方程式的特殊离散。提取实地代表的系数会产生一个反向问题,由巴耶斯反向解决。这不仅可以为不确定性量化铺平道路,还可以产生适当的正规化。这种方法用于旋转圆圈测量,可以扩大到任何其他测量程序。