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

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 th...

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Bibliographic Details
Published in:Journal of instrumentation 2019-07, Vol.14 (7), p.P07002-P07002
Main Authors: Bodwin, G.T., Chung, H.S., Repond, J.
Format: Article
Language:English
Subjects:
acceleration cavities and magnets superconducting (high-temperature superconductor
Algorithms
Data points
instrumentation for particle accelerators and storage rings - low energy (linear accelerators, cyclotrons, electrostatic accelerators)
Magnetic fields
Maxwell's equations
normal-conducting
PARTICLE ACCELERATORS
permanent magnet devices
Personal computers
radiation hardened magnets
wigglers and undulators
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Summary: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.
ISSN:1748-0221
1748-0221
DOI:10.1088/1748-0221/14/07/P07002