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Peer-reviewedCC BYPhotoacoustics

A multimodal adjoint-state formulation of Quantitative Photoacoustic Tomography with external acoustic sources

  • Manne Segerlund1
  • Torbjörn Löfqvist2
  1. 1Corresponding author.
  2. 2Luleå University of Technology, Department of Computer Science, Electrical- and Space Engineering, Sweden
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Abstract

Quantitative Photoacoustic Tomography (QPAT) aims to recover spatially varying optical and acoustic tissue parameters by utilizing the photoacoustic effect. The associated inverse problem is highly ill-conditioned due to strong coupling between optical absorption, optical scattering, density, and speed of sound. To alleviate the ill-conditioned nature of this problem, an externally generated ultrasonic wavefield is incorporated in addition to photoacoustic sources, resulting in a multimodal formulation of QPAT. We present a fully coupled, one-step QPAT reconstruction method for the simultaneous recovery of optical absorption, density, and compressibility directly from measurement data, with speed of sound obtained as a derived property. Conventional QPAT and multimodal QPAT arise as special cases within the proposed method. The approach is formulated as a PDE-constrained optimization problem, and the Fréchet derivative of the complete forward model is derived using an optimize-then-discretize adjoint state method. Two-dimensional numerical simulations demonstrate accurate reconstruction of optical absorption, density, and compressibility.

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Cite

BibTeXRIS
BibTeX
@article{segerlund2026multimodal,
  title = {{A multimodal adjoint-state formulation of Quantitative Photoacoustic Tomography with external acoustic sources}},
  author = {Manne Segerlund and Torbjörn Löfqvist},
  journal = {Photoacoustics},
  year = {2026},
  month = oct,
  doi = {10.1016/j.pacs.2026.100872},
  url = {https://doi.org/10.1016/j.pacs.2026.100872},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - A multimodal adjoint-state formulation of Quantitative Photoacoustic Tomography with external acoustic sources
AU  - Manne Segerlund
AU  - Torbjörn Löfqvist
PY  - 2026
DA  - 2026/10/29
JO  - Photoacoustics
DO  - 10.1016/j.pacs.2026.100872
UR  - https://doi.org/10.1016/j.pacs.2026.100872
AB  - Quantitative Photoacoustic Tomography (QPAT) aims to recover spatially varying optical and acoustic tissue parameters by utilizing the photoacoustic effect. The associated inverse problem is highly ill-conditioned due to strong coupling between optical absorption, optical scattering, density, and speed of sound. To alleviate the ill-conditioned nature of this problem, an externally generated ultrasonic wavefield is incorporated in addition to photoacoustic sources, resulting in a multimodal formulation of QPAT. We present a fully coupled, one-step QPAT reconstruction method for the simultaneous recovery of optical absorption, density, and compressibility directly from measurement data, with speed of sound obtained as a derived property. Conventional QPAT and multimodal QPAT arise as special cases within the proposed method. The approach is formulated as a PDE-constrained optimization problem, and the Fréchet derivative of the complete forward model is derived using an optimize-then-discretize adjoint state method. Two-dimensional numerical simulations demonstrate accurate reconstruction of optical absorption, density, and compressibility.
SN  - 2213-5979
ER  -