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. (c) 2007 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works.