Back to Search
Start Over
Determination of the sound speed and an initial source in photoacoustic tomography
- Publication Year :
- 2023
-
Abstract
- In thermoacoustic and photoacoustic tomography an electromagnetic wave is sent through a medium, heating it and therefore generating an elastic expansion that in turns generates an acoustic wave that is measured outside the medium. The general problem is to recover both the inhomogeneous sound speed and the initial pressure from the boundary measurements of the solution of the acoustic wave equation with a single measurement of the pressure. We show that one can recover both the sound speed and the initial pressure assuming a monocitiy condition on the sound speed that includes the physically interesting case of piecewise constant sound speeds. We also establish a link between this problem and the corresponding transmission eigenvalue problem.
- Subjects :
- Mathematics - Analysis of PDEs
35R30, 35L05
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2302.03457
- Document Type :
- Working Paper