Full Field Inversion of the Attenuated Wave Equation: Theory and Numerical Inversion
Abstract
Standard photoacoustic tomography (PAT) provides data that consist of time-dependent signals governed by the wave equation, which are measured on an observation surface. In contrast, the measured data from the recently invented full-field PAT is the Radon transform of the solution of the wave equation on a spatial domain at a single instant in time. While reconstruction using classical PAT data has been extensively studied, not much is known about the full-field PAT problem. In this paper, we study full-field photoacoustic tomography with spatially variable sound speed and spatially variable damping. In particular, we prove the uniqueness and stability of the associated single-time full-field wave inversion problem and develop algorithms for its numerical inversion using iterative and variational regularization methods. Numerical simulations are presented for both full-angle and limited-angle data cases
Cite
@article{arxiv.2405.18082,
title = {Full Field Inversion of the Attenuated Wave Equation: Theory and Numerical Inversion},
author = {Ngoc Do and Markus Haltmeier and Richard Kowar and Linh V. Nguyen and Robert Nuster},
journal= {arXiv preprint arXiv:2405.18082},
year = {2024}
}