Feng S, Zeng F A, Chance B
Appl Opt. 1995 Jul 1;34(19):3826-37. doi: 10.1364/AO.34.003826.
We present an analytical perturbation analysis for studying the sensitivity of diffusive photon flux to the addition of a small spherical defect object in multiple-scattering media such as human tissues. As a first simple application of our perturbation method, we derive analytically the photon migration path distributions and the shapes of the so-called banana regions in which the photon migration paths are concentrated. We then derive analytically the sensitivity of detected photon flux densities to the inclusion of small spherical defects in the multiple-scattering medium for both single-source and two-source configurations, at both steady-state (dc) and frequency-modulation conditions, and compare the results with Monte Carlo simulations.
我们提出一种分析微扰分析方法，用于研究在诸如人体组织等多重散射介质中，扩散光子通量对添加一个小球形缺陷物体的敏感性。作为我们微扰方法的首个简单应用，我们通过解析推导得出光子迁移路径分布以及所谓香蕉区域的形状，光子迁移路径集中在这些区域。然后，我们针对单源和双源配置，在稳态（直流）和频率调制条件下，通过解析推导得出多重散射介质中包含小球形缺陷时检测到的光子通量密度的敏感性，并将结果与蒙特卡罗模拟进行比较。
