Time reversal method with stabilizing boundary conditions for Photoacoustic tomography
Analysis of PDEs
2016-11-23 v2
Abstract
We study an inverse initial source problem that models Photoacoustic tomography measurements with array detectors, and introduce a method that can be viewed as a modification 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.
Keywords
Cite
@article{arxiv.1605.07817,
title = {Time reversal method with stabilizing boundary conditions for Photoacoustic tomography},
author = {Olga Chervova and Lauri Oksanen},
journal= {arXiv preprint arXiv:1605.07817},
year = {2016}
}
Comments
Revised Version, accepted to the IOP Journal of Inverse Problems