Journal article
Implementation of Maxwell's equations in the reconstruction of the magnetic field in the g-2 storage ring
Journal of instrumentation, Vol.14(7), pp.P07002-P07002
07/02/2019
DOI: 10.1088/1748-0221/14/07/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 10(5) data points and 10(4) harmonics in less than an hour on a presentday desktop computer. We illustrate our method by applying it to some preliminary measurements of the magnetic field in the g - 2 storage ring.
Details
- Title: Subtitle
- Implementation of Maxwell's equations in the reconstruction of the magnetic field in the g-2 storage ring
- Creators
- G. T. Bodwin - Argonne National LaboratoryH. S. Chung - European Organization for Nuclear ResearchJ. Repond - Argonne National Laboratory
- Resource Type
- Journal article
- Publication Details
- Journal of instrumentation, Vol.14(7), pp.P07002-P07002
- Publisher
- Iop Publishing Ltd
- DOI
- 10.1088/1748-0221/14/07/P07002
- ISSN
- 1748-0221
- eISSN
- 1748-0221
- Number of pages
- 23
- Grant note
- DE-AC02-06CH11357 / Argonne, a U.S. Department of Energy Office of Science laboratory; United States Department of Energy (DOE) Alexander von Humboldt Foundation Korean Research Foundation (KRF) through the CERN-Korea fellowship program DE-AC02-06CH11357 / U.S. Department of Energy, Division of High Energy Physics; United States Department of Energy (DOE)
- Language
- English
- Date published
- 07/02/2019
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984627332902771
Metrics
1 Record Views