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arXiv · 1108.0376

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

L. Kunyansky
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Abstract

Magneto-Acousto-Electric Tomography (MAET), also known as the Lorentz force or Hall effect tomography, is a novel hybrid modality designed to be a high-resolution alternative to the unstable Electrical Impedance Tomography. In the present paper we analyze existing mathematical models of this method, and propose a general procedure for solving the inverse problem associated with MAET. It consists in applying to the data one of the algorithms of Thermo-Acoustic tomography, followed by solving the Neumann problem for the Laplace equation and the Poisson equation. For the particular case when the region of interest is a cube, we present an explicit series solution resulting in a fast reconstruction algorithm. As we show, both analytically and numerically, MAET is a stable technique yilelding high-resolution images even in the presence of significant noise in the data.

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L. Kunyansky. 2011-08-01. A mathematical model and inversion procedure for Magneto-Acousto-Electric Tomography (MAET). https://doi.org/10.1088/0266-5611%2F28%2F3%2F035002

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