Journal
INVERSE PROBLEMS
Volume 30, Issue 12, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0266-5611/30/12/125006
Keywords
photoacoustic tomography; time reversal; inverse potential problem
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A class of photoacoustic acquisition geometries in R-n 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 based on the same geometrical technique.
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