Mathematics – Analysis of PDEs
Scientific paper
2009-01-16
Inverse Problems and Imaging, Volume 4, No. 4, 2010, p. 665-673
Mathematics
Analysis of PDEs
Dedicated to Jan Boman's 75th birthday
Scientific paper
10.3934/ipi.2010.4.665
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 a focusing, however, is difficult to achieve in practice. We thus propose a way to avoid the use of focused waves through the so called synthetic focusing, i.e. by the reconstruction of 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.
Kuchment Peter
Kunyansky Leonid
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