On the Formulation of the Magnetic Particle Imaging System Function in Fourier Space

Abstract

Several publications on magnetic particle imaging (MPI)are based on the Langevin theory of paramagnetism todescribe the imaging process [1-4]. However, althoughsome reconstruction methods require the Fouriertransform of the Langevin function and its derivative, inpractice, due to the lack of a closed-form expression, theyare approximated either numerically or via the Lorentzianfunction, which works quite well in practice.Nevertheless, we here give a closed-form solutionfor theFourier transform of the Langevin function and derive thetemporal and spatial Fourier transformed versions of thesystem function according to the Langevin model.
OriginalspracheEnglisch
Titel 8th International Workschop on Magnetic Particle Imaging (IWMPI 2018)
Seitenumfang2
Herausgeber (Verlag)Infinite Science Publishing
Erscheinungsdatum22.03.2018
Seiten39-40
ISBN (Print) 978-3-945954-48-5
PublikationsstatusVeröffentlicht - 22.03.2018
Veranstaltung8th International Workshop on Magnetic Particle Imaging, IWMPI 2018
- Hamburg, Deutschland
Dauer: 22.03.201824.03.2018

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