Abstract
We consider a mathematical model of thermoacoustic tomography andother multi-wave imaging techniques with variable sound speed andattenuation. We find that a Neumann series reconstruction algorithm,previously studied under the assumption of zero attenuation, stillconverges if attenuation is sufficiently small. With completeboundary data, we show the inverse problem has a unique solution, andmodified time reversal provides a stable reconstruction. We alsoconsider partial boundary data, and in this case study thosesingularities that can be stably recovered.
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