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.
|Title of host publication||Proceedings 58th European Study Group Mathematics with Industry (ESGI58/SWI2007), 29 January - 2 February 2007, Utrecht, The Netherlands|
|Editors||R.H. Bisseling, K. Dajani, T.J. Dijkema, J. Leur, van de, P.A. Zegeling|
|Place of Publication||Utrecht|
|Publication status||Published - 2007|