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arXiv · 1105.0898

Thermoacoustic Tomography in Elastic Media

Justin Tittelfitz
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Abstract

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.

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Justin Tittelfitz. 2011-10-11. Thermoacoustic Tomography in Elastic Media. https://doi.org/10.1088/0266-5611%2F28%2F5%2F055004

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