Abstract
Several hybrid tomographic methods utilizing ultrasound modulation have been introduced lately. Success of these methods hinges on the feasibility of focusing ultrasound waves at an arbitrary point of interest. Such focusing, however, is difficult to achieve in practice. We thus propose a way to avoid the use of focused waves through what we call synthetic focusing, i.e. by reconstructing the would-be response to the focused modulation from the measurements corresponding to realistic unfocused waves. Examples of reconstructions from simulated data are provided. This non-technical paper describes only the general concept, while technical details will appear elsewhere. © 2010 American Institute of Mathematical Sciences.Citation
Kuchment P, Kunyansky L (2010) Synthetic focusing in ultrasound modulated tomography. IPI 4: 665–673. Available: http://dx.doi.org/10.3934/ipi.2010.4.665.Sponsors
The work of the first author was partially supported by the NSF DMS grant 0604778 and by the KAUST grant KUS-CI-016-04. The work of the second author was partially supported by the DOE grant DE-FG 02-03ER25577. The authors express their gratitude to NSF, DOE, and KAUST for the support. The authors also thank M. Allmaras, G. Bal, W. Bangerth, J. Schotland, L.-H. Wang, Y. Xu, and the referee for useful information and discussions. We are grateful to M. Allmaras and W. Bangerth for allowing us to use Fig.2.Journal
Inverse Problems and ImagingISSN
1930-8337Handle URI
http://hdl.handle.net/10754/599608ae974a485f413a2113503eed53cd6c53
10.3934/ipi.2010.4.665