Time-resolved experiments have revealed that, in contrast to the predi
ctions of conventional diffusion theory, photons select certain curvil
inear paths to travel between a source and a detector. Concepts of the
average photon paths and Fermat paths are introduced on the basis of
the non-Euclidean diffusion equation (NED) to explain experimental res
ults. Comparison of the theory and the experiment demonstrates the pot
ential of the NED to describe nondiffusive features of photon migratio
n in the multiple-scattering regime. (C) 1997 Optical Society of Ameri
ca.