Percolation-based models for ray-optical propagation in stochastic distributions of scatterers with random shape

This letter deals with ray propagation in stochastic distributions of discrete scatterers having random shapes. The propagation medium is described by means of a semi-infinite percolating lattice and two different propagation models are considered. 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. A comparison with Monte Carlo-like experiments validate the proposed solutions. Applications are in wireless communications, remote sensing, and radar engineering.