We introduce a mathematical model for ultrasound modulated optical tomography and present a simple reconstruction scheme for recovering the spatially varying optical absorption coefficient from scanning measurements with narrowly focused ultrasound signals. Computational results for this model show that the reconstruction of sharp features of the absorption coefficient is possible. A formal linearization of the model leads to an equation with a Fredholm operator, which explains the stability observed in our numerical experiments. © de Gruyter 2011.
Bibliographical noteKAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUS-C1-016-04
Acknowledgements: The work of both authors was partially supported by NSF grant DMS-0604778 and Award No. KUS-C1-016-04 made by King Abdullah University of Science and Technology (KAUST). The work of the second author was also partially supported by U.S. Department of Energy grant DE-FG07-07ID14767 and by an Alfred P. Sloan Research Fellowship. We wish to express our gratitude to these sources of support. We would also like to thank Prof. P. Kuchment, who suggested the approach for proving linear stability in Section 5.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.