A 3D Magnetic Induction Tomography Numerical Forward Problem Solver Based on Finite Differences

This paper describes a 3D numerical model simulator developed to solve the forward problem of Magnetic Induction Tomography (MIT) for biological tissues, based on finite-differences. It is aimed to simulate experimental setups in harmonic, linear quasistatic conditions. A small presentation of the MIT paradigm and the theoretical electromagnetic background under the implementation of the simulator are presented in detail. The numerical method used and some testing against analytic solutions are explained. Furthermore, an implementation example in a real experimental situation is included, where 30 sensing coil acquisitions are simulated. Finally, some conclusions about future developments are presented.