A theory for the propagation of light through a randomly scattering sl
ab is developed that does not take advantage of a diffusion approximat
ion but can be solved analytically. The treatment allows for scatterin
g anisotropy and boundary reflectivity to be incorporated in a straigh
tforward fashion for slabs of arbitrary thickness. Predictions are fou
nd for both the transmission probability and the electric field autoco
rrelation function which, respectively, can be used to analyze diffuse
-transmission spectroscopy and diffusing-wave spectroscopy data more a
ccurately.