TL;DR
This paper extends thermoacoustic tomography to elastic media, analyzing how to recover initial displacements from boundary measurements in elastic wave equations, and establishing conditions on material parameters for successful reconstruction.
Contribution
It provides the first analysis of elastic thermoacoustic tomography, identifying conditions on Lamé parameters that enable initial displacement recovery.
Findings
Recovery is possible under certain Lamé parameter conditions.
The problem generalizes acoustic TAT to elastic media.
Sufficient conditions for unique reconstruction are established.
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 \Omega, where \Omega\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 Lam\'e parameters to ensure that recovery is possible.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.