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arXiv · 1405.6283

Time reversal in photoacoustic tomography and levitation in a cavity

Victor Palamodov
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Abstract

A class of photoacoustic acquisition geometries in n-space is considered such that the spherical mean transform admits an exact filtered back projection reconstruction formula. The reconstruction is interpreted as a time reversion mirror that reproduces exactly an arbitrary source distribution in the cavity. A series of examples of non-uniqueness of the inverse potential problem is constructed basing on the same geometrical technique.

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Victor Palamodov. 2014-05-24. Time reversal in photoacoustic tomography and levitation in a cavity. https://doi.org/10.1088/0266-5611%2F30%2F12%2F125006

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