Stochastic Ray Propagation in Stratified Random Lattices

Ray propagation in stratified semi-infinite percolation lattices consisting of a succession of different uniform density layers is considered. Assuming that rays undergo specular reflections on the occupied sites, the propagation depth inside the medium is analytically estimated in terms of the probability that a ray reaches a prescribed level before being reflected back in the above empty half-plane. Numerical Monte-Carlo-like experiments validate the proposed solution