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Thermoacoustic Tomography in Elastic Media

We investigate the problem of recovering the initial displacement f for a solution u of a linear, isotropic, non-homogeneous elastic wave equation, given measurements of u on [0,T] x \partial Ω, where Ω\subset\R^3 is some bounded domain containing the support of f. For the acoustic wave equation, this problem is known as thermoacoustic tomography (TAT), and has been well-studied; for the elastic wave equation, the situation is somewhat more subtle, and we give sufficient conditions on the Lamé parameters to ensure that recovery is possible.

preprint2011arXivOpen access
Justin Tittelfitz
math.APmath-phmath.MP
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Open access1 author3 topics
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Justin Tittelfitz

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