Thermoacoustic Tomography in Elastic Media

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.

Submitted to Inverse Problems

References in corpus (4)

• Thermoacoustic tomography with variable sound speed
• A series solution and a fast algorithm for the inversion of the spherical mean Radon transform
• Thermoacoustic tomography arising in brain imaging
• Time reversal in thermoacoustic tomography - an error estimate

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