Thermoacoustic tomography with variable sound speed

We study the mathematical model of thermoacoustic tomography in media with a variable speed for a fixed time interval [0, T] so that all signals issued from the domain leave it after time T. In the case of measurements on the whole boundary, we give an explicit solution in terms of a Neumann series...

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Bibliographic Details
Published in:Inverse problems 2009-07, Vol.25 (7), p.075011-075011 (16)
Main Authors: Stefanov, Plamen, Uhlmann, Gunther
Format: Article
Language:English
Subjects:
Exact sciences and technology
Physics
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Summary:We study the mathematical model of thermoacoustic tomography in media with a variable speed for a fixed time interval [0, T] so that all signals issued from the domain leave it after time T. In the case of measurements on the whole boundary, we give an explicit solution in terms of a Neumann series expansion. We give almost necessary and sufficient conditions for uniqueness and stability when the measurements are taken on a part of the boundary.
ISSN:0266-5611
1361-6420
DOI:10.1088/0266-5611/25/7/075011