The photoacoustic tomography (PAT) is a hybrid modality that combines the optics and acoustics to obtain high resolution and high contrast imaging of heterogeneous media. In this work, our objective is to study the inverse problem in the quantitative step of PAT which aims to reconstruct the optical coefficients of the governing radiative transport equation from the ultrasound measurements. In our analysis, we take the simplified P _N approximation of the radiative transport equation as the physical model and then show the uniqueness and stability for this modified inverse problem. Numerical simulations based on synthetic data are presented to validate our analysis.

光声断层扫描 (PAT) 是一种混合模式，它结合了光学和声学，以获得异构介质的高分辨率和高对比度成像。在这项工作中，我们的目标是研究 PAT 定量步骤中的逆问题，该步骤旨在从超声测量中重建控制辐射传输方程的光学系数。在我们的分析中，我们将辐射输运方程的简化P _N近似作为物理模型，然后展示了这个修改后的逆问题的唯一性和稳定性。提出了基于合成数据的数值模拟来验证我们的分析。