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性质 卷 具体目标是：1）推广标准光学 扩散理论（SODT）提供的控制方程， 适应空间分布的准直源，2）解决这些问题 定常调幅准直点的新方程 位于无限介质中的源。 将结果与 使用SODT和实验测量导出的解决方案，3）求解 稳态和调幅准直的新方程 照亮无限介质表面的光源。 比较 结果与SODT和实验，和4）发展一个理论 框架，以解决FDPM测量结果包含重要 来自最小散射和完全漫射光子两者的贡献。

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.