A global stability estimate for the photo-acoustic inverse problem in layered media
arXiv:1707.07260
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 Hölder 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.
References in corpus (7)
- Thermoacoustic tomography with variable sound speed
- Hybrid inverse problems and internal functionals
- Quantitative photoacoustic imaging in radiative transport regime
- Thermoacoustic tomography with detectors on an open curve: an efficient reconstruction algorithm
- Sharp estimates for the Neumann functions and applications to quantitative photo-acoustic imaging in inhomogeneous media
- Logarithmic stability in determining a boundary coefficient in an ibvp for the wave equation
- H{ö}lder stability in determining the potential and the damping coefficient in a wave equation