Full Field Inversion of the Attenuated Wave Equation: Theory and Numerical Inversion
<|reference_start|>Full Field Inversion of the Attenuated Wave Equation: Theory and Numerical Inversion: 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<|reference_end|>
@article{do2024full,
    title={Full Field Inversion of the Attenuated Wave Equation: Theory and
  Numerical Inversion},
    author={Ngoc Do, Markus Haltmeier, Richard Kowar, Linh V. Nguyen, Robert
  Nuster},
    journal={arXiv preprint arXiv:2405.18082},
    year={2024},
    archivePrefix={arXiv},
    eprint={2405.18082},
    primaryClass={math.NA cs.NA math.AP}
}