Abstract
We consider the inverse problem of recovering the optical properties of a highly scattering medium from acousto-optic measurements. Using such measurements, we show that the scattering and absorption coefficients of the radiative transport equation can be reconstructed with Lipschitz stability by means of algebraic inversion formulas.
| Original language | English |
|---|---|
| Pages (from-to) | 4704-4721 |
| Number of pages | 18 |
| Journal | SIAM Journal on Mathematical Analysis |
| Volume | 49 |
| Issue number | 6 |
| DOIs | |
| State | Published - 2017 |
Bibliographical note
Publisher Copyright:© 2017 Society for Industrial and Applied Mathematics.
Funding
∗Received by the editors November 22, 2016; accepted for publication (in revised form) September 6, 2017; published electronically November 21, 2017. http://www.siam.org/journals/sima/49-6/M110476.html Funding: The work of the second author was supported in part by the NSF grant DMS-1619907. †Department of Mathematics, University of Kentucky, Lexington, KY ([email protected]). ‡Department of Mathematics and Department of Physics, University of Michigan, Ann Arbor, MI ([email protected]). The work of the second author was supported in part by the NSF grant DMS-1619907.
| Funders | Funder number |
|---|---|
| National Science Foundation (NSF) | DMS-1619907 |
| Directorate for Mathematical and Physical Sciences | 1120923 |
| National Stroke Foundation |
Keywords
- Acoustooptic tomography
- Hybrid inverse problem
- Inverse problem
- Radiative transport equation
ASJC Scopus subject areas
- Analysis
- Computational Mathematics
- Applied Mathematics