eprintid: 434 rev_number: 5 eprint_status: archive userid: 5 dir: disk0/00/00/04/34 datestamp: 2011-02-25 lastmod: 2013-07-01 13:21:47 status_changed: 2013-07-01 13:21:47 type: techreport metadata_visibility: show item_issues_count: 0 creators_name: Martini, Anna creators_name: Franceschetti, Massimo creators_name: Massa, Andrea title: Ray Propagation in Non-Uniform Random Lattices ispublished: pub subjects: TU full_text_status: public abstract: 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. date: 2006-09 date_type: published institution: University of Trento department: informaticat refereed: TRUE referencetext: [1] G. Franceschetti, S. Marano, and F. Palmieri. “Propagation without wave equation toward an urban area model.” IEEE Trans. Antennas Propag., 47(9), 1393-1404, Sept. 1999. [2] G. Grimmett. “Percolation.” Springer-Verlag, 1989. [3] D. Stauffer. “Introduction to Percolation Theory.” Taylor and Francis, London, 1985. [4] R. M. Ross. “Stochastic processes.” J. Wiley, New York, 1983. [5] S. Marano, F. Palmieri, and G. Franceschetti, “Statistical characterization of ray propagation in a random lattice.” J. Opt. Soc. Am. A, 16(10), 2459-2464, Oct. 1999. [6] S. Marano and M. Franceschetti. “Ray propagation in a random lattice: a maximum entropy, anomalous diffusion process.” IEEE Trans. Antennas Propag. 53(6), 1888-1896, June 2005. [7] M. Franceschetti, J. Bruck, and L. J. Schulman. “A random walk model of wave propagation.” IEEE Transactions Antennas and Propag., 52(5), 1304-1317, May 2004. [8] M. Franceschetti. “Stochastic rays pulse propagation.” IEEE Trans. Antennas Propag., 52(10), 2742-2752, Oct. 2004. [9] T. K. Sarkar, J. Zhong, K. Kyungjung, A. Medouri, and M. Salazar-Palma. “A survey of various propagation models for mobile communication.” IEEE Antennas Propag. Magazine, 45(3), 51-82, June 2003. [10] H. L. Bertoni, W. Honcharenko, L. Rocha Maciel, and H.H. Xia. “UHF Propagation Prediction for Wireless Personal Communications.” Proceedings of the IEEE, 82(9), 1333-1359, 1994. [11] A. Ishimaru. “Wave propagation and scattering in random media.” IEEE Press, 1997. [12] A. Ishimaru. “Wave propagation and scattering in random media and rough surfaces.” IEEE Proceedings, 79(10), 1359-1366, Oct. 1991. [13] J. Opt. Soc. Am. A. Special issue on wave propagation and scattering in random media, 2(12), Dec. 1985. [14] J. R. Norris. “Markov chains.” Cambridge University Press, 1998. [15] A. Martini, M. Franceschetti, and A. Massa. “Electromagnetic wave propagation with reflective walls, theory and experiments”. In preparation. citation: Martini, Anna and Franceschetti, Massimo and Massa, Andrea (2006) Ray Propagation in Non-Uniform Random Lattices. [Technical Report] document_url: http://www.eledia.org/students-reports/434/1/DISI-11-080.pdf