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.

翻译：光声学断层摄影是一种混合模式,将光学和声学结合起来,以获得不同介质的高分辨率和高对比成像。在这项工作中,我们的目标是研究PAT定量步骤的逆向问题,该步骤的目的是从超声波测量中重建管理辐射传输方程式的光学系数。我们的分析将辐射传输方程式的简化近似值$P_N作为物理模型,然后显示这一经过修改的反向问题的独特性和稳定性。根据合成数据进行的数值模拟将用来验证我们的分析。