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arXiv · 0902.1973

Thermoacoustic tomography with variable sound speed

Plamen Stefanov·Gunther Uhlmann
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Abstract

We study the mathematical model of thermoacoustic tomography in media with a variable speed for a fixed time interval, greater than the diameter of the domain. In case of measurements on the whole boundary, we give an explicit solution in terms of a Neumann series expansion. We give necessary and sufficient conditions for uniqueness and stability when the measurements are taken on a part of the boundary.

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Plamen Stefanov, Gunther Uhlmann. 2009-05-30. Thermoacoustic tomography with variable sound speed. https://doi.org/10.1088/0266-5611%2F25%2F7%2F075011

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