eprintid: 430
rev_number: 5
eprint_status: archive
userid: 5
dir: disk0/00/00/04/30
datestamp: 2011-03-16
lastmod: 2018-02-25 00:24:44
status_changed: 2013-07-01 14:05:43
type: techreport
metadata_visibility: show
item_issues_count: 0
creators_name: Martini, Anna
creators_name: Franceschetti, Massimo
creators_name: Massa, Andrea
title: A Hybrid Approach for Modeling Stochastic Ray Propagation in Stratified Random Lattices
ispublished: pub
subjects: TU
full_text_status: public
keywords: Stochastic ray tracing, Stratified random media, Percolation theory
abstract: The present contribution deals with ray propagation in semi-innite percolation lattices consisting of a succession of uniform density layers. The problem of analytically evaluating the probability that a single ray penetrates up to a prescribed level before being reected back into the above empty half-plane is addressed. A hybrid approach, exploiting the complementarity of two mathematical models in dealing with uniform congurations, is presented and assessed through numerical ray-tracing-based experiments in order to show improvements upon previous predictions techniques. "The definitive version is available at www3.interscience.wiley.com"
date: 2007-12
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., Vol. 47, No. 9, 1393-1404, 1999. [2] R. M. Ross, Stochastic Processes. J. Wiley, New York, 1983. [3] S. Marano and M. Franceschetti, “Ray propagation in a random lattice: a maximum entropy, anomalous diffusion process,” IEEE Trans. Antennas Propag., Vol. 53, No. 6, 1888- 1896, 2005. [4] M. Franceschetti, J. Bruck, and L.Schulman, “A random walk model of wave propagation,” IEEE Trans. Antennas Propagat., Vol. 52, No. 5, 1304-1317, 2004. [5] M. Franceschetti, “Stochastic rays pulse propagation,” IEEE Trans. Antennas Propagat., Vol. 52, No. 10, 2742-2752, 2004. [6] A. Martini, R. Azaro, M. Franceschetti, and A. Massa, “Ray propagation in nonuniform random lattices - Part II,” J. Opt. Soc. Am. A, in press. [7] A. Martini, M. Franceschetti, and A. Massa, “Stochastic ray propagation in stratified random lattices,” IEEE Antennas Wireless Propagat. Letters, accepted for publication. [8] A. Martini, M. Franceschetti, and A. Massa, “Ray propagation in a non-uniform random lattice,” J. Opt. Soc. Am. A, Vol. 23, No. 9, 2251-2261, 2006. [9] J. R. Norris, Markov Chains. Cambridge University Press, 1998. [10] A. Martini, L. Marchi, M. Franceschetti, and A. Massa, “Stochastic ray propagation in stratified random lattices - Comparative assessment of two mathematical approaches,” Progress in Electromagnetics Research, PIER 71, 159-171, 2007. [11] G. Grimmett, Percolation. Springer-Verlag, New York, 1989.
citation:   Martini, Anna and Franceschetti, Massimo and Massa, Andrea  (2007) A Hybrid Approach for Modeling Stochastic Ray Propagation in Stratified Random Lattices.  [Technical Report]     
document_url: http://www.eledia.org/students-reports/430/1/DISI-11-061.R126.pdf