eprintid: 432
rev_number: 6
eprint_status: archive
userid: 5
dir: disk0/00/00/04/32
datestamp: 2011-03-28
lastmod: 2013-07-01 14:04:40
status_changed: 2013-07-01 14:04:40
type: techreport
metadata_visibility: show
item_issues_count: 0
creators_name: Martini, Anna
creators_name: Franceschetti, Massimo
creators_name: Massa, Andrea
title: Stochastic Ray Propagation in Stratified Random Lattices
ispublished: pub
subjects: TU
full_text_status: public
keywords: Percolation theory , stochastic ray tracing , stratified random media , wave propagation
abstract: Ray propagation in stratified semi-infinite percolation lattices consisting of a succession of different uniform density layers is considered. Assuming that rays undergo specular reflections on the occupied sites, 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. Numerical Monte-Carlo-like experiments validate the proposed solution. (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: 2007-01
date_type: published
institution: University of Trento
department: informaticat
refereed: TRUE
referencetext: [1] G. Franceschetti, S. Marano, and F. Palmieri, "Propagation without wave equationtoward an urban area model," IEEE Trans. Antennas Propag ., AP-47, 1393-1404,1999.
[2] S. Marano and M. Franceschetti, "Ray propagation in a random lattice: a maximumentropy, anomalous diffusion process," IEEE Trans. Antennas Propag .,AP-53, 1888-1896, 2005.
[3] M. Franceschetti, J. Bruck, and L.Schulman, "A random walk model of wave propa-gation," IEEE Trans. Antennas Propagat., AP-52, 1304-1317, 2004.
[4] A. Ishimaru, Wave Propagation and Scattering in Random Media. IEEE Press, 1997.
[5] G. Grimmett, Percolation. Springer-Verlag, New York, 1989.
[6] R. M. Ross, Stochastic Processes. J. Wiley, New York, 1983.
[7] A. Martini, M. Franceschetti, and A. Massa, "A percolation model for the wavepropagation in non-uniform random media," 9th International Conference on Elec-tromagnetics in Advanced Applications (ICEAA 05), Torino, Italy, 197-200, 12-16September, 2005.
[8] A. Martini, M. Franceschetti, and A. Massa, "Ray propagation in a non-uniformrandom lattice," Journal of Optical Society of America A, 23(9), 2251-2261, 2006.
[9] A. Martini, M. Franceschetti, and A. Massa, "Percolation-based approaches for ray-optical propagation in inhomogeneous random distributions of discrete scatterers,"1st European Conference on Antennas and Propagation (EuCAP 2006), Nice, France,6-10 November 2006.
[10] J. R. Norris, Markov Chains. Cambridge University Press, 1998.
citation:   Martini, Anna and Franceschetti, Massimo and Massa, Andrea  (2007) Stochastic Ray Propagation in Stratified Random Lattices.  [Technical Report]     
document_url: http://www.eledia.org/students-reports/432/1/DISI-11-070.pdf