Mathematical Research Letters

Volume 21 (2014)

Number 5

Photoacoustic and thermoacoustic tomography with an uncertain wave speed

Pages: 1199 – 1214

DOI: https://dx.doi.org/10.4310/MRL.2014.v21.n5.a13

Authors

Lauri Oksanen (Department of Mathematics, University College London, United Kingdom)

Gunther Uhlmann (Department of Mathematics, University of Washington, Seattle, Wash., U.S.A.)

Abstract

We consider the mathematical model of photoacoustic and thermoacoustic tomography in media with a variable sound speed. When the sound speed is known, the explicit reconstruction formula of [14] can be used. We study how a modeling error in the sound speed affects the reconstruction formula and quantify the effect in terms of a stability estimate.

Keywords

inverse problems, photoacoustic tomography, thermoacoustic tomography, wave equation, stability

2010 Mathematics Subject Classification

35R30

Full Text (PDF format)

Accepted 8 July 2014

Published 9 December 2014