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 doma...
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| Veröffentlicht in: | IEEE transactions on magnetics Jg. 56; H. 3; S. 1 - 4 |
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01.03.2020
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | Kurz, Stefan Liebsch, Melvin Russenschuck, Stephan |
| Author_xml | – sequence: 1 givenname: Melvin orcidid: 0000-0002-2022-105X surname: Liebsch fullname: Liebsch, Melvin email: melvin.liebsch@cern.ch organization: European Organization for Nuclear Research, CERN, Geneva, Switzerland – sequence: 2 givenname: Stephan orcidid: 0000-0003-3370-7419 surname: Russenschuck fullname: Russenschuck, Stephan organization: European Organization for Nuclear Research, CERN, Geneva, Switzerland – sequence: 3 givenname: Stefan orcidid: 0000-0003-4926-8078 surname: Kurz fullname: Kurz, Stefan organization: Institute for Accelerator Science and Electromagnetic Fields TEMF, Darmstadt, Germany |
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| Cites_doi | 10.1016/j.amc.2013.05.068 10.1108/COMPEL-02-2017-0059 10.1007/978-0-387-68805-3 |
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| References | di rienzo (ref3) 2018; 13 ref2 ref1 ref4 |
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| SubjectTerms | Accelerator magnets Apertures Boundary element method boundary value problems Boundary-element methods Dirichlet problem Domains Harmonic analysis Induction coils Integral equations Laplace equations Magnetic domains Magnetic measurement magnetic-field measurement Magnetism Magnetometers Magnets Mathematical analysis Post-production processing Reconstruction |
| Title | Boundary-Element Methods for Field Reconstruction in Accelerator Magnets |
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