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 toroidalharmonic solutions of Laplace's equation. We point out that the fitting problem can be approximated well as a linearalgebra problem. We have devised an efficient algorithm for the linearalgebra 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.
 Authors:

 Argonne National Lab. (ANL), Argonne, IL (United States). Dept. of High Energy Physics
 Technische Universität München, Garching (Germany). PhysikDept.
 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)
 OSTI Identifier:
 1559865
 Grant/Contract Number:
 AC0206CH11357
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Journal of Instrumentation
 Additional Journal Information:
 Journal Volume: 14; Journal Issue: 07; Journal ID: ISSN 17480221
 Publisher:
 Institute of Physics (IOP)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 43 PARTICLE ACCELERATORS; acceleration cavities and magnets superconducting (hightemperature superconductor; radiation hardened magnets; normalconducting; 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. https://doi.org/10.1088/17480221/14/07/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. https://doi.org/10.1088/17480221/14/07/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. https://doi.org/10.1088/17480221/14/07/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 toroidalharmonic solutions of Laplace's equation. We point out that the fitting problem can be approximated well as a linearalgebra problem. We have devised an efficient algorithm for the linearalgebra problem that makes it possible to find a solution for 105 data points and 104 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.},
doi = {10.1088/17480221/14/07/P07002},
journal = {Journal of Instrumentation},
number = 07,
volume = 14,
place = {United States},
year = {2019},
month = {7}
}
Web of Science
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