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Optics Letters

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  • Vol. 30, Iss. 15 — Aug. 1, 2005
  • pp: 2007–2009

Energy conservation of the scattering from one-dimensional random rough surfaces in the high-frequency limit

Nicolas Pinel, Christophe Bourlier, and Joseph Saillard  »View Author Affiliations


Optics Letters, Vol. 30, Issue 15, pp. 2007-2009 (2005)
http://dx.doi.org/10.1364/OL.30.002007


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Abstract

Energy conservation of the scattering from one-dimensional strongly rough dielectric surfaces is investigated using the Kirchhoff approximation with single reflection and by taking the shadowing phenomenon into account, both in reflection and transmission. In addition, because no shadowing function in transmission exists in the literature, this function is presented here in detail. The model is reduced to the high-frequency limit (or geometric optics). The energy conservation criterion is investigated versus the incidence angle, the permittivity of the lower medium, and the surface rms slope.

© 2005 Optical Society of America

OCIS Codes
(000.5490) General : Probability theory, stochastic processes, and statistics
(010.4450) Atmospheric and oceanic optics : Oceanic optics
(280.0280) Remote sensing and sensors : Remote sensing and sensors
(290.5880) Scattering : Scattering, rough surfaces

Citation
Nicolas Pinel, Christophe Bourlier, and Joseph Saillard, "Energy conservation of the scattering from one-dimensional random rough surfaces in the high-frequency limit," Opt. Lett. 30, 2007-2009 (2005)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-30-15-2007


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References

  1. P. Beckman and A. Spizzichino, The Scattering of Electromagnetic Waves from Rough Surfaces. Part I. Theory (Pergamon, 1963).
  2. J. A. Ogilvy, Theory of Wave Scattering from Random Rough Surfaces (Institute of Physics, 1991).
  3. A. K. Fung, Microwave Scattering and Emission Models and Their Applications (Artech House, 1994).
  4. J. A. Kong, Electromagnetic Wave Theory (Wiley, 1975).
  5. A. K. Fung, IEEE Trans. Antennas Propag. 29, 463 (1981).
  6. J. Caron, J. Lafait, and C. Andraud, Opt. Commun. 207, 17 (2002).
  7. C. Bourlier and G. Berginc, Waves Random Media 14, 229 (2004).
  8. C. Bourlier, G. Berginc, and J. Saillard, Waves Random Media 12, 145 (2002).
  9. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, 1964).

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