GENERALIZATION OF OPTICAL DIFFUSION THEORY FOR FREQUENCY DOMAIN PHOTON MIGRATION

我们有兴趣进行FDPM测量，以探测分层 组织结构以及评估小组织的属性 音量。具体目标是1)推广标准光学 扩散理论(SODT)提供的控制方程 容纳空间分布的准直源，2)解决这些问题 定常调幅准直点的新方程 位于无限大介质中的源。将结果与 使用SODT和实验测量得出的解，3)求解 定常调幅准直的新方程 照亮无限介质表面的光源。比较 与SODT和实验的结果，以及4)发展了理论 用于处理FDPM测量结果包含重要数据的情况的框架 来自最小散射光子和完全漫反射光子的贡献。

We are interested in making FDPM measurements to probe layered tissue structures as well as assess the properties of small tissue volumes. The specific aims are 1) Generalize standard optical diffusion theory (SODT) to provide governing equations which accommodate spatially distributed collimated sources, 2) Solve these new equations for steady and amplitude-modulated collimated point sources located within an infinite medium. Compare results to solutions derived using SODT and experimental measurement, 3) Solve the new equations for steady and amplitude-modulated collimated sources illuminating the surface of an infinite medium. Compare results with SODT and experiment, and 4) Develop a theoretical framework to address cases where FDPM measurements contain significant contributions from both minimally scattered and fully diffuse photons.