Cox A A, Durian D J
Appl Opt. 2001 Aug 20;40(24):4228-35. doi: 10.1364/ao.40.004228.
The contribution of some region in an opaque multiple-scattering sample to the detected signal is considered. Because diffusion theory gives only the total photon concentration and not the fraction of that which ultimately reaches the detector, it must be supplemented. We show how to do so by making further use of the assumption that photon migration is Markovian. This procedure is illustrated for illumination-detection geometries and scattering parameters of interest for diffusing-light spectroscopies. Specifically, we explore slab geometries with plane-wave illumination and detection as well as a semi-infinite sample with point illumination and detection. For the former the photon behavior as a function of slab thickness, scattering anisotropy, absorption, and boundary reflectivity is predicted and shown to compare well with Monte Carlo random-walk simulations.
考虑了不透明多散射样品中某些区域对检测信号的贡献。由于扩散理论仅给出总光子浓度，而未给出最终到达探测器的光子浓度分数，因此必须对其进行补充。我们展示了如何通过进一步利用光子迁移是马尔可夫过程这一假设来做到这一点。针对漫射光谱感兴趣的照明 - 检测几何结构和散射参数，对该过程进行了说明。具体而言，我们研究了平面波照明和检测的平板几何结构以及点照明和检测的半无限样品。对于前者，预测了光子行为随平板厚度、散射各向异性、吸收和边界反射率的变化，并表明与蒙特卡罗随机游走模拟结果吻合良好。
