A global stability estimate for the photo-acoustic inverse problem in layered media
Analysis of PDEs
2017-07-25 v1 Optimization and Control
Abstract
This paper is concerned with the stability issue in determining absorption and diffusion coefficients in photoacoustic imaging. Assuming that the medium is layered and the acoustic wave speed is known we derive global H\"{o}lder stability estimates of the photo-acoustic inversion. These results show that the reconstruction is stable in the region close to the optical illumination source, and deteriorate exponentially far away. Several experimental pointed out that the resolution depth of the photo-acoustic modality is about tens of millimeters. Our stability estimates confirm these observations and give a rigorous quantification of this depth resolution.
Keywords
Cite
@article{arxiv.1707.07260,
title = {A global stability estimate for the photo-acoustic inverse problem in layered media},
author = {Kui Ren and Faouzi Triki},
journal= {arXiv preprint arXiv:1707.07260},
year = {2017}
}