Resumen
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.
| Idioma original | English |
|---|---|
| Páginas (desde-hasta) | 4704-4721 |
| Número de páginas | 18 |
| Publicación | SIAM Journal on Mathematical Analysis |
| Volumen | 49 |
| N.º | 6 |
| DOI | |
| Estado | Published - 2017 |
Nota bibliográfica
Publisher Copyright:© 2017 Society for Industrial and Applied Mathematics.
Financiación
The work of the second author was supported in part by the NSF grant DMS-1619907. ∗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]).
| Financiadores | Número del financiador |
|---|---|
| National Stroke Foundation | |
| National Science Foundation Arctic Social Science Program | DMS-1619907 |
ASJC Scopus subject areas
- Analysis
- Computational Mathematics
- Applied Mathematics