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Boundary-Element Methods for Field Reconstruction in Accelerator Magnets
Magnetic fields in the aperture of particle accelerator magnets can be represented by boundary potentials, exploiting Kirchhoff’s integral equation. Depending on the formulation, magnetic measurement data can be represented by the discrete approximations of Dirichlet or Neumann data at the domain bo...
Autores principales: | , , |
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Lenguaje: | eng |
Publicado: |
2020
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Acceso en línea: | https://dx.doi.org/10.1109/TMAG.2019.2952092 http://cds.cern.ch/record/2713711 |
_version_ | 1780965393185112064 |
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author | Liebsch, Melvin Russenschuck, Stephan Kurz, Stefan |
author_facet | Liebsch, Melvin Russenschuck, Stephan Kurz, Stefan |
author_sort | Liebsch, Melvin |
collection | CERN |
description | Magnetic fields in the aperture of particle accelerator magnets can be represented by boundary potentials, exploiting Kirchhoff’s integral equation. Depending on the formulation, magnetic measurement data can be represented by the discrete approximations of Dirichlet or Neumann data at the domain boundary. The missing Cauchy data, which are related to the tangential-field components, can then be computed by the boundary-element method (BEM) in a numerical post-processing step. Evaluating the integral equation for field reconstruction inside the domain of interest will reduce measurement uncertainties and approximation errors due to the smoothing property of Green’s kernel. Applications to the reconstruction of 2-D fields (integrated quantities from stretched-wire measurements) and 3-D fields (local quantities from measurements with moving induction-coil magnetometers) are presented. |
id | oai-inspirehep.net-1782476 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2020 |
record_format | invenio |
spelling | oai-inspirehep.net-17824762020-03-25T21:30:51Zdoi:10.1109/TMAG.2019.2952092http://cds.cern.ch/record/2713711engLiebsch, MelvinRussenschuck, StephanKurz, StefanBoundary-Element Methods for Field Reconstruction in Accelerator MagnetsMagnetic fields in the aperture of particle accelerator magnets can be represented by boundary potentials, exploiting Kirchhoff’s integral equation. Depending on the formulation, magnetic measurement data can be represented by the discrete approximations of Dirichlet or Neumann data at the domain boundary. The missing Cauchy data, which are related to the tangential-field components, can then be computed by the boundary-element method (BEM) in a numerical post-processing step. Evaluating the integral equation for field reconstruction inside the domain of interest will reduce measurement uncertainties and approximation errors due to the smoothing property of Green’s kernel. Applications to the reconstruction of 2-D fields (integrated quantities from stretched-wire measurements) and 3-D fields (local quantities from measurements with moving induction-coil magnetometers) are presented.oai:inspirehep.net:17824762020 |
spellingShingle | Liebsch, Melvin Russenschuck, Stephan Kurz, Stefan Boundary-Element Methods for Field Reconstruction in Accelerator Magnets |
title | Boundary-Element Methods for Field Reconstruction in Accelerator Magnets |
title_full | Boundary-Element Methods for Field Reconstruction in Accelerator Magnets |
title_fullStr | Boundary-Element Methods for Field Reconstruction in Accelerator Magnets |
title_full_unstemmed | Boundary-Element Methods for Field Reconstruction in Accelerator Magnets |
title_short | Boundary-Element Methods for Field Reconstruction in Accelerator Magnets |
title_sort | boundary-element methods for field reconstruction in accelerator magnets |
url | https://dx.doi.org/10.1109/TMAG.2019.2952092 http://cds.cern.ch/record/2713711 |
work_keys_str_mv | AT liebschmelvin boundaryelementmethodsforfieldreconstructioninacceleratormagnets AT russenschuckstephan boundaryelementmethodsforfieldreconstructioninacceleratormagnets AT kurzstefan boundaryelementmethodsforfieldreconstructioninacceleratormagnets |