Magnetic Induction Tomography is a contactless imaging modality, which aims to obtain the conductivity distribution of the human body. The method is based on exciting the body by magnetic induction using an array of transmitting coils to induce eddy currents. A change of the conductivity distribution in the body results in a perturbed magnetic field, which can be measured as a voltage change in the receiving coils. Based on these measurements, the conductivity distribution can be reconstructed by solving an inverse problem.
In this talk two models for the corresponding forward problem are presented. The full model uses the eddy current model, the reduced model reduces the eddy current model to a boundary value problem for the Laplace equation and an evaluation of a Newton potential. Boundary element formulations for both models are discussed and some numerical examples are presented.
This is joint work with O. Steinbach and S. Zaglmayr.