Thermoacoustic Tomography in Elastic Media
| dc.contributor.advisor | Smith, Hart F. | en_US |
| dc.contributor.author | Tittelfitz, Justin Jeffrey | en_US |
| dc.date.accessioned | 2013-11-14T21:00:45Z | |
| dc.date.available | 2013-11-14T21:00:45Z | |
| dc.date.issued | 2013-11-14 | |
| dc.date.submitted | 2013 | en_US |
| dc.description | Thesis (Ph.D.)--University of Washington, 2013 | en_US |
| dc.description.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 ] × boundary of Omega, where Omega in R3 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 Lame parameters to ensure that recovery is possible. Following this, we investigate the numerical simulation of this problem. | en_US |
| dc.embargo.terms | No embargo | en_US |
| dc.format.mimetype | application/pdf | en_US |
| dc.identifier.other | Tittelfitz_washington_0250E_12147.pdf | en_US |
| dc.identifier.uri | http://hdl.handle.net/1773/24333 | |
| dc.language.iso | en_US | en_US |
| dc.rights | Copyright is held by the individual authors. | en_US |
| dc.subject | Inverse Problems; Medical Imaging; Numerical Analysis; Partial Differential Equations; Seismic Imaging | en_US |
| dc.subject.other | Mathematics | en_US |
| dc.subject.other | Medical imaging and radiology | en_US |
| dc.subject.other | mathematics | en_US |
| dc.title | Thermoacoustic Tomography in Elastic Media | en_US |
| dc.type | Thesis | en_US |
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