Weiss G H
Appl Opt. 1998 Jun 1;37(16):3558-63. doi: 10.1364/ao.37.003558.
Statistical properties of the expected amount of time spent by a photon at different depths of a semi-infinite turbid medium are derived with formalism based on the continuous-time random walk. The formalism is applied to the study of both cw and time-gated experiments. Earlier analytical results relating to cw experiments are reproduced with a single approximation, rather than the more complicated approach used in earlier research based on the discrete-time random walk. The distribution of the occupancy of different depths in a time-gated experiment is found to have a convenient scaling form.
基于连续时间随机游走的形式体系，推导了光子在半无限浑浊介质不同深度处预期停留时间的统计特性。该形式体系应用于连续波（cw）和时间选通实验的研究。与连续波实验相关的早期分析结果通过单一近似得以重现，而非早期基于离散时间随机游走的研究所采用的更复杂方法。发现在时间选通实验中不同深度处的占有率分布具有一种方便的标度形式。
