Reconstruction for multiwave imaging in attenuating media with large damping coefficient
Analysis of PDEs
2017-03-29 v3
Abstract
In this article we study the reconstruction problem in TAT/PAT on an attenuating media. Namely, we prove a reconstruction procedure of the initial condition for the damped wave equation via Neumann series that works for arbitrary large smooth attenuation coefficients extending the result of Homan in [1]. We also illustrate the theoretical result by including some numerical experiments at the end of the paper.
Cite
@article{arxiv.1604.06068,
title = {Reconstruction for multiwave imaging in attenuating media with large damping coefficient},
author = {Benjamin Palacios},
journal= {arXiv preprint arXiv:1604.06068},
year = {2017}
}