Forward Solver in Magnetoacoustic Tomography With Magnetic Induction by Generalized Finite-Element Method

Abstract

The magnetoacoustic tomography with magnetic induction (MAT-MI) is a hybrid imaging modality proposed to reconstruct the electrical impedance property in biological tissue by integrating magnetic induction and ultrasound measurements with high resolution. One of the major problems of MAT-MI is the singularity problem and its numerical errors caused by singular MAT-MI acoustic sources at conductivity boundaries and interfaces. In order to achieve more computational accuracy, especially on the conductivity boundaries and interfaces of inclusions, we have developed a forward solver in MAT-MI to compute the forward problem with generalized finite-element method (GFEM) in this paper. The novelty of this paper relies on the first adaption of GFEM in MAT-MI computation. Using the solver, the distribution of the eddy current and the distribution of the acoustic source are accurately computed in the object with computer simulation. The results demonstrate the feasibility of the forward solver in MAT-MI. In the forward solution, it is capable of achieving good accuracy and stability using our computation model with GFEM.