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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 23, Iss. 9 — Sep. 1, 2006
  • pp: 2251–2261

Ray propagation in nonuniform random lattices

Anna Martini, Massimo Franceschetti, and Andrea Massa  »View Author Affiliations


JOSA A, Vol. 23, Issue 9, pp. 2251-2261 (2006)
http://dx.doi.org/10.1364/JOSAA.23.002251


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Abstract

The problem of optical ray propagation in a nonuniform random half-plane lattice is considered. An external source radiates a planar monochromatic wave impinging at an angle θ on a half-plane random grid where each cell can be independently occupied with probability q j = 1 p j , 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 are in the field of remote sensing and communications, where estimation of the penetration of electromagnetic waves in disordered media is of interest.

© 2006 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(000.5490) General : Probability theory, stochastic processes, and statistics
(030.6600) Coherence and statistical optics : Statistical optics
(080.2710) Geometric optics : Inhomogeneous optical media
(080.2720) Geometric optics : Mathematical methods (general)
(350.5500) Other areas of optics : Propagation

History
Original Manuscript: February 6, 2006
Manuscript Accepted: March 11, 2006

Citation
Anna Martini, Massimo Franceschetti, and Andrea Massa, "Ray propagation in nonuniform random lattices," J. Opt. Soc. Am. A 23, 2251-2261 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-9-2251


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References

  1. G. Franceschetti, S. Marano, and F. Palmieri, "Propagation without wave equation toward an urban area model," IEEE Trans. Antennas Propag. 47, 1393-1404 (1999). [CrossRef]
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  15. A. Martini, M. Franceschetti, and A. Massa are preparing a paper to be called "'Electromagnetic wave propagation in nonuniform percolation lattices--theory and experiments."

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