Abstract #1668

Novel Analytical Solutions of the Reaction Fields of Arbitrary Orientated Spheroids in a Homogeneous Magnetic Field Expressed in Cartesian Coordinates

Markus Kraiger¹, Bernhard Schnizer², Rudolf Stollberger¹

¹Institute of Medical Engineering, Graz University of Technology, Graz, Styria, Austria; ²Institute of Theoretical and Computational Physics, Graz University of Technology, Graz, Styria, Austria

Novel analytical solutions of the field of a prolate or an oblate magnetic spheroid in a static homogeneous magnetic field are computed and expressed in Cartesian coordinates. The directions of both the primary magnetic field and of the symmetry axis are completely arbitrary. These expressions have the potential to improve the modelling of susceptibility effects within biological structures such as trabecular bone or capillary network.