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Time reversal method with stabilizing boundary conditions for Photoacoustic tomography

Chervova, O; Oksanen, L; (2016) Time reversal method with stabilizing boundary conditions for Photoacoustic tomography. Inverse Problems , 32 (12) , Article 125004. 10.1088/0266-5611/32/12/125004. Green open access

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Abstract

We study an inverse initial source problem that models photoacoustic tomo- graphy measurements with array detectors, and introduce a method that can be viewed as a modi fi cation of the so called back and forth nudging method. We show that the method converges at an exponential rate under a natural visibility condition, with data given only on a part of the boundary of the domain of wave propagation. In this paper we consider the case of noiseless measurements.

Type: Article
Title: Time reversal method with stabilizing boundary conditions for Photoacoustic tomography
Open access status: An open access version is available from UCL Discovery
DOI: 10.1088/0266-5611/32/12/125004
Publisher version: http://dx.doi.org/10.1088/0266-5611/32/12/125004
Language: English
Additional information: © 2016 IOP Publishing Ltd
Keywords: Science & Technology, Physical Sciences, Mathematics, Applied, Physics, Mathematical, Mathematics, Physics, Inverse Problems, Time Reversal, Wave Equation, Photoacoustic Tomography, Reverberant Cavity, Algorithm
UCL classification: UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Medical Sciences
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Medical Sciences > Cancer Institute
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Medical Sciences > Cancer Institute > Research Department of Cancer Bio
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/1524247
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