Understanding the electromagnetic field in an MRI scanner

J.B. Berg, van den, Nico van den Berg, B. Bergen, van den, A. Boer, F.J. Bult, van de, S. Dahmen, K. Frederix, Y. Gennip, van, J. Hulshof, H. Meijer, P.H.M.W. Panhuis, in 't, C. Stolk, R. Swierstra, M. Veneroni, E. Vondenhoff

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review


In this note, we study the magnetic field pattern in an MRI scanner, in order to ultimately improve the resolution of the image. We model the situation in 2-D, with a simplified model for the patient, consisting of two regions bounded by ellipses with constant dielectric properties. The solution to the Maxwell equations is described in terms of two different bases: Bessel and Mathieu functions. By expansions in Bessel (cylindrical) modes, that are matched at the boundaries, the magnetic field can be computed in a few seconds on a PC or Mac. By optimizing the distribution of antenna currents the homogeneity of the magnetic field can be improved.
Original languageEnglish
Title of host publicationProceedings 58th European Study Group Mathematics with Industry (ESGI58/SWI2007), 29 January - 2 February 2007, Utrecht, The Netherlands
EditorsR.H. Bisseling, K. Dajani, T.J. Dijkema, J. Leur, van de, P.A. Zegeling
Place of PublicationUtrecht
PublisherUtrecht University
Publication statusPublished - 2007

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