GENERALIZAT OF OPTICAL DIFFUSION THEORY FOR FREQUENCY DOMAIN PHOTON MIGRATION

我们将专注于将当前光学模型推广到 允许在更大范围内准确处理FDPM数据 临床情况。具体地说，我们对制造FDPM感兴趣 测量探查分层组织结构以及评估 小组织体积的特性。在这两个应用程序中，我们 要求在小型震源探测器上进行FDPM测量(S-D) 分居。然而，众所周知，这种测量，当 使用基于标准光扩散理论的算法进行处理 (SODT)，会导致测定不准确的光学值。 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 稳频调幅准直点的新方程 位于无限大介质中的源。我们将对这些进行比较 使用SODT和实验得出的解的结果。我们还将 解S准备和调幅的新方程 照亮无限介质表面的准直光源。 将结果与SODT和实验结果进行比较。最后，我们将开发一种 处理FDPM测量包含的情况的理论框架 来自最小分散和完全分散的重大贡献 漫反射光子。

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 s teady 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.