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Implementation of Maxwell's equations in the reconstruction of the magnetic field in the g−2 storage ring

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Published 2 July 2019 • © 2019 CERN
, , Citation G.T. Bodwin et al 2019 JINST 14 P07002 DOI 10.1088/1748-0221/14/07/P07002

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Author affiliations

1 High Energy Physics Division, Argonne National Laboratory, 9700 S. Cass. Ave, Lemont, IL 60439, U.S.A.

2 Physik-Department, Technische Universität München, James-Franck-Str. 1, 85748 Garching, Germany

3 Theory Department, CERN, 1211 Geneva 23, Switzerland

Dates

  1. Received 6 May 2019
  2. Accepted 17 June 2019
  3. Published

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1748-0221/14/07/P07002

Abstract

We present a method for implementing the constraints that are implied by Maxwell's equations in fits to measurements of the magnetic field in the muon storage ring of the g−2 experiment. The method that we use makes use of toroidal-harmonic solutions of Laplace's equation. We point out that the fitting problem can be approximated well as a linear-algebra problem. We have devised an efficient algorithm for the linear-algebra problem that makes it possible to find a solution for 105 data points and 104 harmonics in less than an hour on a present-day desktop computer. We illustrate our method by applying it to some preliminary measurements of the magnetic field in the g−2 storage ring.

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© 2019 CERN. Published by IOP Publishing Ltd on behalf of Sissa Medialab. Original content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

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10.1088/1748-0221/14/07/P07002