eprintid: 428
rev_number: 6
eprint_status: archive
userid: 5
dir: disk0/00/00/04/28
datestamp: 2011-07-27
lastmod: 2013-07-01 14:06:59
status_changed: 2013-07-01 14:06:58
type: techreport
metadata_visibility: show
item_issues_count: 0
creators_name: Martini, Anna
creators_name: Franceschetti, Massimo
creators_name: Massa, Andrea
title: Percolation-Based Approaches For Ray-Optical Propagation in Inhomogeneous Random Distribution of Discrete Scatterers
ispublished: pub
subjects: TU
full_text_status: public
abstract: We address the problem of optical ray propagation in an inhomogeneous half-plane lattice, where each cell can be occupied according to a known one-dimensional obstacles density distribution. A monochromatic plane wave impinges on the random grid with a known angle and undergoes specular reflections on the occupied cells. We present two different approaches for evaluating the propagation depth inside the lattice. The former is based on the theory of the Martingale random processes, while in the latter ray propagation is modelled in terms of a Markov chain. A numerical validation assesses the proposed solutions, while validation through experimental data shows that the percolation model, in spite of its simplicity, can be applied to model real propagation problems.
date: 2011-01
date_type: published
institution: University of Trento
department: informaticat
refereed: FALSE
referencetext: 1. Sarkar T. K., Zhong J., Kyungjung K., Medouri A., and Salazar Palma M., “A Survey of Various Propagation Models for Mobile Communication,” IEEE Antennas Propag. Mag., Vol. 45, 51-82, 2003. 2. Liang G., and Bertoni H. L., “A New Approach to 3-D Ray Tracing for Propagation Predictions in Cities,” IEEE Trans. Antennas Propag., Vol. 46, 853-863, 1998. 3. Hassan Ali M., and Pahlavan K., “A New Statistical Model for Site Specific Indoor Radio Propagation Prediction Based on Geometric Optics and Geometric Probability,” IEEE Trans. Wireless Commun., Vol. 1, 112-124, 2002. 4. Franceschetti M., Bruck J., and Schulman L., “A Random Walk Model of Wave Propagation,” IEEE Trans. Antennas Propag., Vol. 52, 1304-1317, 2004. 5. Marano S., and Franceschetti M., “Ray Propagation in a Random Lattice: a Maximum Entropy, Anomalous Diffusion Process,” IEEE Trans. Antennas Propag., Vol. 53, 1888-1896, 2005. 6. Grimmet G., Percolation. Springer Verlag, New York, 1989. 7. Franceschetti G., Marano S., and Palmieri F., “Propagation without Wave Equation towards an Urban Area Model,” IEEE Trans. Antennas Propag., Vol. 47, 1393-1404, 1999. 8. Norris J. R., Markov Chains. Cambridge University Press, 1998. 9. Ross R. M., Stochastic Process. J. Wiley, New York, 1983. 10. Martini A., Azaro R., Franceschetti M., and Massa A., “Electromagnetic Wave Propagation in Non Uniform Percolation Lattics – Theory and Experiments,” submitted. 11. Martini A., Franceschetti M., and Massa A., “Ray Propagation in Non Uniform Random Lattices,” JOSA A, in press.
citation:   Martini, Anna and Franceschetti, Massimo and Massa, Andrea  (2011) Percolation-Based Approaches For Ray-Optical Propagation in Inhomogeneous Random Distribution of Discrete Scatterers.  [Technical Report]     
document_url: http://www.eledia.org/students-reports/428/1/DISI-11-241.C124.pdf