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.
Originalsprache | Englisch |
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Titel | 8th International Workschop on Magnetic Particle Imaging (IWMPI 2018) |
Seitenumfang | 2 |
Herausgeber (Verlag) | Infinite Science Publishing |
Erscheinungsdatum | 22.03.2018 |
Seiten | 39-40 |
ISBN (Print) | 978-3-945954-48-5 |
Publikationsstatus | Veröffentlicht - 22.03.2018 |
Veranstaltung | 8th International Workshop on Magnetic Particle Imaging, IWMPI 2018 - Hamburg, Deutschland Dauer: 22.03.2018 → 24.03.2018 |