论文标题
用简化的$ p_n $近似的定量pat
Quantitative PAT with simplified $P_N$ approximation
论文作者
论文摘要
光声断层扫描（PAT）是一种混合方式，结合了光学和声学，以获得异质介质的高分辨率和高对比度成像。在这项工作中，我们的目标是在PAT的定量步骤中研究逆问题，旨在从超声测量值重建辐射传输方程的光学系数。在我们的分析中，我们将辐射传输方程的简化$ P_N $近似作为物理模型，然后显示此修改后的反问题的独特性和稳定性。提出了基于合成数据的数值模拟以验证我们的分析。
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.
