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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. 1 — Jan. 1, 2006
  • pp: 73–80

Statistics of specular points at a randomly rough surface

Iosif M. Fuks and Mikhail I. Charnotskii  »View Author Affiliations


JOSA A, Vol. 23, Issue 1, pp. 73-80 (2006)
http://dx.doi.org/10.1364/JOSAA.23.000073


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Abstract

Statistical parameters are obtained for an ensemble of specular points at a randomly rough Gaussian statistically isotropic surface at normal incidence. The joint probability density functions (PDFs) of specular point heights and total curvátures are derived separately for maxima, minima, and saddle points. The joint PDFs of brightness and surface elevations of specular points of different types are obtained analytically in an explicit form.

© 2006 Optical Society of America

OCIS Codes
(030.5770) Coherence and statistical optics : Roughness
(080.2720) Geometric optics : Mathematical methods (general)
(240.6700) Optics at surfaces : Surfaces
(290.1350) Scattering : Backscattering
(290.5880) Scattering : Scattering, rough surfaces

ToC Category:
Coherence and Statistical Optics

Citation
Iosif M. Fuks and Mikhail I. Charnotskii, "Statistics of specular points at a randomly rough surface," J. Opt. Soc. Am. A 23, 73-80 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-1-73

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