Numerical analysis of the magnetic field for arbitrary magnetic susceptibility distributions in 2D

We describe a numerical technique for calculating the 2D magnetic field in arbitrary magnetic susceptibility distribution. The technique we used is the explicit finite difference method with an addition of the Du Fort-Frankle algorithm. The proposed algorithm is unconditionally stable and has excell...

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Veröffentlicht in:	Magnetic resonance imaging 1992, Vol.10 (2), p.299-313
Hauptverfasser:	Bhagwandien, R., van Ee, R., Beersma, R., Bakker, C.J.G., Moerland, M.A., Lagendijk, J.J.W.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Biological and medical sciences Computer Simulation Distortions Electromagnetic Fields Image Processing, Computer-Assisted Investigative techniques, diagnostic techniques (general aspects) Magnetic field analysis Magnetic field simulations Magnetic resonance imaging Medical sciences Miscellaneous. Technology Radiodiagnosis. Nmr imagery. Nmr spectrometry Susceptibility artifacts
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Beschreibung
Zusammenfassung:	We describe a numerical technique for calculating the 2D magnetic field in arbitrary magnetic susceptibility distribution. The technique we used is the explicit finite difference method with an addition of the Du Fort-Frankle algorithm. The proposed algorithm is unconditionally stable and has excellent convergence properties. For simple geometries, numerical results were compared against analytical solutions and appeared to be in excellent agreement.
ISSN:	0730-725X 1873-5894
DOI:	10.1016/0730-725X(92)90489-M