  We study the persistent random walk of photons on a one-dimensional lattice
of random transmittances. Transmittances at different sites are assumed
independent, distributed according to a given probability density $f(t)$.
Depending on the behavior of $f(t)$ near $t=0$, diffusive and subdiffusive
transports are predicted by the disorder expansion of the mean
square-displacement and the effective medium approximation. Monte Carlo
simulations confirm the anomalous diffusion of photons. To observe photon
subdiffusion experimentally, we suggest a dielectric film stack for realization
of a distribution $f(t)$.
