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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Vydáno v:IEEE transactions on magnetics Ročník 56; číslo 3; s. 1 - 4
Hlavní autoři: Liebsch, Melvin, Russenschuck, Stephan, Kurz, Stefan
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York IEEE 01.03.2020
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Témata:
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
ISSN:0018-9464, 1941-0069
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Shrnutí: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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ISSN:0018-9464
1941-0069
DOI:10.1109/TMAG.2019.2952092