Magnetopneumography is a diagnostic method for detection of ferrous dusts in lungs of metal workers. The current paper discusses methods for calculating inversion of measured magnetic field of lungs for determining spatial distribution of magnetic sources within the lungs volume. An extended measurement setup has been recently introduced which provides more data and makes the problem better conditioned, especially in simplified situations. In this paper we consider a simplified phantom (model of lungs), containing just a single layer of magnetic and non-magnetic cubes. Given the relative abundance of measured data and limited number of potential sources, successful inversion and relatively good estimate of sources is possible even by direct solution. For simplified or full phantoms alike, another interesting fact was observed. The total measured field provides useful hint to the total amount of present dust, thus limiting the number of possible solutions to search.
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