An Inverse Hyperbolic Problem with Application to Joint Photoacoustic Parameter Determination
Analysis of PDEs
2024-08-26 v1
Abstract
We consider an inverse problem of recovering a parameter appearing in all levels in a second-order hyperbolic equation from a single boundary measurement. The model is motivated from applications in photoacoustic tomography when one seeks to recover both the wave speed and the initial ultrasound pressure from a single ultrasound signal. In particular, our result shows that the ratio of the initial ultrasound pressure and the wave speed squared uniquely determines both of them respectively.
Cite
@article{arxiv.2408.12759,
title = {An Inverse Hyperbolic Problem with Application to Joint Photoacoustic Parameter Determination},
author = {Shitao Liu and Gunther Uhlmann and Yang Yang},
journal= {arXiv preprint arXiv:2408.12759},
year = {2024}
}
Comments
19 pages. arXiv admin note: text overlap with arXiv:2210.03865