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Title: Implementation of Maxwell's equations in the reconstruction of the magnetic field in the g -2 storage ring

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 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.

Authors:
 [1];  [2];  [3]
  1. Argonne National Lab. (ANL), Argonne, IL (United States). Dept. of High Energy Physics
  2. Technische Universität München, Garching (Germany). Physik-Dept.
  3. European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theory Dept.
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
Alexander von Humboldt Foundation, Bonn (Germany); USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1559865
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Instrumentation
Additional Journal Information:
Journal Volume: 14; Journal Issue: 07; Journal ID: ISSN 1748-0221
Publisher:
Institute of Physics (IOP)
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS; acceleration cavities and magnets superconducting (high-temperature superconductor; radiation hardened magnets; normal-conducting; permanent magnet devices; wigglers and undulators); instrumentation for particle accelerators and storage rings - low energy (linear accelerators, cyclotrons, electrostatic accelerators)

Citation Formats

Bodwin, G. T., Chung, H. S., and Repond, J. Implementation of Maxwell's equations in the reconstruction of the magnetic field in the g -2 storage ring. United States: N. p., 2019. Web. doi:10.1088/1748-0221/14/07/P07002.
Bodwin, G. T., Chung, H. S., & Repond, J. Implementation of Maxwell's equations in the reconstruction of the magnetic field in the g -2 storage ring. United States. doi:10.1088/1748-0221/14/07/P07002.
Bodwin, G. T., Chung, H. S., and Repond, J. Tue . "Implementation of Maxwell's equations in the reconstruction of the magnetic field in the g -2 storage ring". United States. doi:10.1088/1748-0221/14/07/P07002. https://www.osti.gov/servlets/purl/1559865.
@article{osti_1559865,
title = {Implementation of Maxwell's equations in the reconstruction of the magnetic field in the g -2 storage ring},
author = {Bodwin, G. T. and Chung, H. S. and Repond, J.},
abstractNote = {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.},
doi = {10.1088/1748-0221/14/07/P07002},
journal = {Journal of Instrumentation},
number = 07,
volume = 14,
place = {United States},
year = {2019},
month = {7}
}

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Works referenced in this record:

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