Synthetic focusing in ultrasound modulated tomography

Kuchment, Peter; Kunyansky, Leonid

Type

Article

Authors

Kuchment, Peter
Kunyansky, Leonid

KAUST Grant Number

KUS-CI-016-04

Date

2010-10-07

Online Publication Date

2010-10-07

Print Publication Date

2010

Permanent link to this record

http://hdl.handle.net/10754/599608

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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.