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Time reversal in photoacoustic tomography and levitation in a cavity

Authors
  • Palamodov, Victor
Type
Preprint
Publication Date
May 24, 2014
Submission Date
May 24, 2014
Identifiers
DOI: 10.1088/0266-5611/30/12/125006
Source
arXiv
License
Yellow
External links

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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