Ray Propagation in Non-Uniform Random Lattices

The problem of optical ray propagation in a non-uniform random half-plane lattice is considered. An external source radiates a planar monochromatic wave impinging at an angle on a half-plane random grid where each cell can be independently occupied with probability qj = 1 − pj , j being the row index. The wave undergoes specular reflections on the occupied cells and the probability of penetrating up to level k inside the lattice is analytically estimated. Numerical experiments validate the proposed approach and show improvement upon previous results that appeared in the literature. Applications of such a methodology are in the field of remote sensing and communications, where estimation of the penetration of electromagnetic waves in disordered media is of interest. This paper was published in Journal of the Optical Society of America. A, Optics, image science, and vision and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-9-2251. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.