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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. 22, Iss. 11 — Nov. 1, 2005
  • pp: 2442–2453

Detailed analytical approach to the Gaussian surface bidirectional reflectance distribution function specular component applied to the sea surface

Vincent Ross, Denis Dion, and Guy Potvin  »View Author Affiliations


JOSA A, Vol. 22, Issue 11, pp. 2442-2453 (2005)
http://dx.doi.org/10.1364/JOSAA.22.002442


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Abstract

A statistical sea surface specular BRDF (bidirectional reflectance distribution function) model is developed that includes mutual shadowing by waves, wave facet hiding, and projection weighting. The integral form of the model is reduced to an analytical form by making minor and justifiable approximations. The new form of the BRDF thus allows one to compute sea reflected radiance more than 100 times faster than the traditional numerical solutions. The repercussions of the approximations used in the model are discussed. Using the analytical form of the BRDF, an analytical approximation is also obtained for the reflected sun radiance that is always good to within 1% of the numerical solution for sun elevations of more than 10° above the horizon. The model is validated against measured sea radiances found in the literature and is shown to be in very good agreement.

© 2005 Optical Society of America

OCIS Codes
(000.5490) General : Probability theory, stochastic processes, and statistics
(010.4450) Atmospheric and oceanic optics : Oceanic optics
(030.6600) Coherence and statistical optics : Statistical optics
(080.2720) Geometric optics : Mathematical methods (general)

ToC Category:
Atmospheric and ocean optics

History
Original Manuscript: January 31, 2005
Manuscript Accepted: March 18, 2005
Published: November 1, 2005

Citation
Vincent Ross, Denis Dion, and Guy Potvin, "Detailed analytical approach to the Gaussian surface bidirectional reflectance distribution function specular component applied to the sea surface," J. Opt. Soc. Am. A 22, 2442-2453 (2005)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-22-11-2442


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