Persistent random walk on a site-disordered one-dimensional lattice: photon subdiffusion.
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).
Miri
MirFaez
M
Institute for Advanced Studies in Basic Sciences, Zanjan 45195-1159, Iran. miri@iasbs.ac.ir
Sadjadi
Zeinab
Z
Fouladvand
M Ebrahim
ME