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Magneto-Acousto-Electric Tomography (MAET), also known as the Lorentz forceor Hall effect tomography, is a novel hybrid modality designed to be ahigh-resolution alternative to the unstable Electrical Impedance Tomography. Inthe present paper we analyze existing mathematical models of this method, andpropose a general procedure for solving the inverse problem associated withMAET. It consists in applying to the data one of the algorithms ofThermo-Acoustic tomography, followed by solving the Neumann problem for theLaplace equation and the Poisson equation.  For the particular case when the region of interest is a cube, we present anexplicit series solution resulting in a fast reconstruction algorithm. As weshow, both analytically and numerically, MAET is a stable technique yileldinghigh-resolution images even in the presence of significant noise in the data.

A mathematical model and inversion procedure for Magneto-Acousto-Electric Tomography (MAET)