利用光学相干弹性成像重建层状介质的光学参数
Reconstructing the Optical Parameters of a Layered Medium with Optical Coherence Elastography
AI总结：
本文研究利用光学相干断层扫描弹性成像测量重建层状介质光学参数的逆问题，在考虑随机分布小散射体的线性介电模型下，证明了通过不同压缩状态的测量可唯一重建介质的电极化率。
摘要：
在这项工作中，我们考虑一个逆问题：从以光学相干断层扫描作为成像方法的弹性成像测量中重建层状介质的光学性质。我们在此将样本建模为线性介电介质，因此成像参数由其电极化率给出，该参数是频率和深度相关的参数。除了层状结构（假设至少在小的被照射区域内成立）之外，我们还允许存在小的散射体，并将其视为随机分布，与完全均匀的层相比，这种情况似乎更符合实际。随后我们证明，对于介质的不同压缩状态，可以从光学相干断层扫描测量中实现对介质电极化率（在对小散射体取平均之后）的唯一重建。
英文摘要：
In this work we consider the inverse problem of reconstructing the optical properties of a layered medium from an elastography measurement where optical coherence tomography is used as the imaging method. We hereby model the sample as a linear dielectric medium so that the imaging parameter is given by its electric susceptibility, which is a frequency- and depth-dependent parameter. Additionally to the layered structure (assumed to be valid at least in the small illuminated region), we allow for small scatterers which we consider to be randomly distributed, a situation which seems more realistic compared to purely homogeneous layers. We then show that a unique reconstruction of the susceptibility of the medium (after averaging over the small scatterers) can be achieved from optical coherence tomography measurements for different compression states of the medium.
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