GENERALIZATION OF OPTICAL DIFFUSION THEORY FOR FREQUENCY DOMAIN PHOTON MIGRATION

我们将集中讨论当前光学模型的推广， 允许更广泛数量的FDPM数据的准确处理 临床情况。 具体来说，我们有兴趣使FDPM 测量以探测分层组织结构以及评估 小组织体积的特性。 在这两种应用中，我们 要求在小源探测器（S-D）上进行FDPM测量 分居 然而，众所周知，当 使用基于标准光学扩散理论的算法进行处理 （SODT），可能导致不准确的光学值的确定。 我们的目标是推广SODT，以提供控制方程， 适应空间分布的准直空间，并解决这些问题 定常调幅准直点的新方程 位于无限介质中的源。 我们将比较这些 结果的解决方案，采用SODT和实验。 我们还将 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。 最后，我们将开发一个 解决FDPM测量包含以下情况的理论框架 从最小分散和完全分散两个方面 漫射光子。

We will focus on the generalization of current optical models to allow for the accurate processing of FDPM data in a broader number of clinical situations. Specifically, we are interested in making FDPM measurements to probe layered tissue structures as well as assess the properties of small tissue volumes. In both these applications, we require FDPM measurements to be made at small source-detector (S-D) separations. However, it is well known that such measurements, when processed using algorithms based on standard optical diffusion theory (SODT), can lead to the determination of inaccurate optical values. Our goals are to generalize SODT to provide governing equations which accommodate spatially distributed collimated spaces and to solve these new equations for steady and amplitude modulated collimated point source located within an infinite medium. We will compare these results to solutions derived using SODT and experiment. We will also solve the new equati ons for steady and amplitude modulated collimated sources illuminating the surface of an infinite medium. Compare results with SODT and experiment. Finally, we will develop a theoretical framework to address cases where FDPM measurements contain significant contributions from both minimally scattered and fully diffuse photons.