Martelli F, Contini D, Taddeucci A, Zaccanti G
Appl Opt. 1997 Jul 1;36(19):4600-12. doi: 10.1364/ao.36.004600.
In our companion paper we presented a model to describe photon migration through a diffusing slab. The model, developed for a homogeneous slab, is based on the diffusion approximation and is able to take into account reflection at the boundaries resulting from the refractive index mismatch. In this paper the predictions of the model are compared with solutions of the radiative transfer equation obtained by Monte Carlo simulations in order to determine the applicability limits of the approximated theory in different physical conditions. A fitting procedure, carried out with the optical properties as fitting parameters, is used to check the application of the model to the inverse problem. The results show that significant errors can be made if the effect of the refractive index mismatch is not properly taken into account. Errors are more important when measurements of transmittance are used. The effects of using a receiver with a limited angular field of view and the angular distribution of the radiation that emerges from the slab have also been investigated.
在我们的配套论文中，我们提出了一个描述光子在漫射平板中迁移的模型。该模型是针对均匀平板开发的，基于扩散近似，能够考虑由于折射率不匹配导致的边界反射。在本文中，将该模型的预测结果与通过蒙特卡罗模拟获得的辐射传输方程的解进行比较，以确定近似理论在不同物理条件下的适用范围。以光学性质作为拟合参数进行拟合过程，用于检验该模型在逆问题中的应用。结果表明，如果没有正确考虑折射率不匹配的影响，可能会产生显著误差。当使用透过率测量时，误差更为重要。还研究了使用具有有限角视场的接收器的影响以及从平板出射的辐射的角分布。
