Simple Subtraction Method for Determining the Mean Path Length Traveled by Photons in Turbid Media

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Abstract
The mean path length is a key parameter in the study of light propagation in turbid media such as living tissues. In this paper, we propose a simple subtraction method for determining the mean path length traveled by photons in turbid media. The method is based on the fact that the mean time delay (i.e., the center of gravity) of the measured re-emission profile is the sum of the mean time delays of the instrumental function (i.e., the impulse response of the measuring system) and the impulse response of a highly scattering medium. Using this method, the mean path length can be calculated quickly and accurately without the need for performing deconvolution. The theory, computer simulation and experimental demonstration are described.