title: Numerical analysis of the magnetic field for arbitrary magnetic susceptibility distributions in 2D.
abstract: 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.
authors.affiliation: Department of Radiotherapy, University Hospital Utrecht, The Netherlands.
authors.forename: R
authors.initials: R
authors.lastname: Bhagwandien
authors.forename: R
authors.initials: R
authors.lastname: van Ee
authors.forename: R
authors.initials: R
authors.lastname: Beersma
authors.forename: C J
authors.initials: CJ
authors.lastname: Bakker
authors.forename: M A
authors.initials: MA
authors.lastname: Moerland
authors.forename: J J
authors.initials: JJ
authors.lastname: Lagendijk
mesh_terms: D000465:Algorithms; D016477:Artifacts; D003198:Computer Simulation; D004574:Electromagnetic Fields; D007091:Image Processing, Computer-Assisted