eprintid: 356 rev_number: 4 eprint_status: archive userid: 5 dir: disk0/00/00/03/56 datestamp: 2011-03-16 lastmod: 2013-06-28 12:07:19 status_changed: 2013-06-28 12:07:19 type: techreport metadata_visibility: show item_issues_count: 0 creators_name: Martini, Anna creators_name: Caramanica, Federico creators_name: Franceschetti, Massimo creators_name: Massa, Andrea title: Percolation-Based Models for Ray-Optical Propagation in Stochastic Distributions of Scatterers with Random Shape ispublished: pub subjects: TU full_text_status: public keywords: Percolation theory, Stochastic ray tracing, Non-uniform random media, Scatterers with random shape abstract: This letter deals with ray propagation in stochastic distributions of discrete scatterers having random shapes. The propagation medium is described by means of a semiin nite 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 reected 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. (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. date: 2011-01 date_type: published institution: University of Trento department: informaticat refereed: TRUE referencetext: [1] G. Grimmett, Percolation. Springer-Verlag, New York, 1989. [2] G. Franceschetti, S. Marano, and F. Palmieri, “Propagation without wave equation toward an urban area model,” IEEE Trans. Antennas Propag., vol. 47, pp. 1393-1404, 1999. [3] S. Marano and M. Franceschetti, “Ray propagation in a random lattice: a maximum entropy, anomalous diffusion process,” IEEE Trans. Antennas Propag., vol. 53, pp. 1888-1896, 2005. [4] A. Martini, M. Franceschetti, and A. Massa, “Ray propagation in nonuniform random lattices,” J. Opt. Soc. Amer. A, vol. 23, pp. 2251-2261, 2006. [5] A. Martini, R. Azaro, M. Franceschetti, and A. Massa, “Ray propagation in nonuniform random lattices. Part II,” J. Opt. Soc. Amer. A, vol. 24, pp. 2363-2371, 2007. [6] R. M. Ross, Stochastic Processes. J. Wiley, New York, 1983. citation: Martini, Anna and Caramanica, Federico and Franceschetti, Massimo and Massa, Andrea (2011) Percolation-Based Models for Ray-Optical Propagation in Stochastic Distributions of Scatterers with Random Shape. [Technical Report] document_url: http://www.eledia.org/students-reports/356/1/DISI-11-056.R135.pdf