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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 tha...
| Autores principales: | , , |
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| Lenguaje: | eng |
| Publicado: |
2018
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| Materias: | |
| Acceso en línea: | https://dx.doi.org/10.1088/1748-0221/14/07/P07002 http://cds.cern.ch/record/2624785 |
| _version_ | 1780958763617878016 |
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| author | Bodwin, Geoffrey T. Chung, Hee Sok Repond, José |
| author_facet | Bodwin, Geoffrey T. Chung, Hee Sok Repond, José |
| author_sort | Bodwin, Geoffrey T. |
| collection | CERN |
| description | 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. |
| id | cern-2624785 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2018 |
| record_format | invenio |
| spelling | cern-26247852023-05-31T02:02:48Zdoi:10.1088/1748-0221/14/07/P07002http://cds.cern.ch/record/2624785engBodwin, Geoffrey T.Chung, Hee SokRepond, JoséImplementation of Maxwell's equations in the reconstruction of the magnetic field in the $g-2$ storage ringhep-phParticle Physics - Phenomenologyhep-exParticle Physics - Experimentphysics.ins-detDetectors and Experimental TechniquesWe 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.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.arXiv:1805.12163TUM-EFT 110/18oai:cds.cern.ch:26247852018-05-30 |
| spellingShingle | hep-ph Particle Physics - Phenomenology hep-ex Particle Physics - Experiment physics.ins-det Detectors and Experimental Techniques Bodwin, Geoffrey T. Chung, Hee Sok Repond, José Implementation of Maxwell's equations in the reconstruction of the magnetic field in the $g-2$ storage ring |
| title | Implementation of Maxwell's equations in the reconstruction of the magnetic field in the $g-2$ storage ring |
| title_full | Implementation of Maxwell's equations in the reconstruction of the magnetic field in the $g-2$ storage ring |
| title_fullStr | Implementation of Maxwell's equations in the reconstruction of the magnetic field in the $g-2$ storage ring |
| title_full_unstemmed | Implementation of Maxwell's equations in the reconstruction of the magnetic field in the $g-2$ storage ring |
| title_short | Implementation of Maxwell's equations in the reconstruction of the magnetic field in the $g-2$ storage ring |
| title_sort | implementation of maxwell's equations in the reconstruction of the magnetic field in the $g-2$ storage ring |
| topic | hep-ph Particle Physics - Phenomenology hep-ex Particle Physics - Experiment physics.ins-det Detectors and Experimental Techniques |
| url | https://dx.doi.org/10.1088/1748-0221/14/07/P07002 http://cds.cern.ch/record/2624785 |
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