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.
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
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 |
| URI: |
https://discovery.ucl.ac.uk/id/eprint/1524247 |
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