Closed-form expressions for obtaining the absorption and scattering coefficients of a turbid medium with time-resolved spectroscopy

A simple closed-form relation for extracting the absorption coefficient of a multiply scattering medium from a measured temporal impulse response is pointed out. Such a relation eliminates the need for time-consuming iterative curve-fitting techniques and may also be of use for calculating the regional sensitivity of the time-resolved spectroscopy technique. Equations for three types of measurement geometry (reflection from an infinite half-space, transmission through an infinite slab, and reflection from an infinite slab) are described. The effects of detector temporal resolution and detector intensity linearity are also discussed.