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Applied Optics

Applied Optics


  • Vol. 42, Iss. 27 — Sep. 20, 2003
  • pp: 5382–5387

Asymptotic optical depths in source-free ocean waters

Brian D. Piening and Norman J. McCormick  »View Author Affiliations

Applied Optics, Vol. 42, Issue 27, pp. 5382-5387 (2003)

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The depth dependence for which the downward diffuse attenuation coefficient, the upward-to-downward plane irradiance ratio, the vertically upward radiance-to-downward plane irradiance ratio, and the mean cosine of the radiance depend negligibly on the surface incident illumination have been examined. The depths at which these coefficients approach to within a specified percent of their asymptotic values depends significantly on the characteristics of the incident illumination and on the inherent optical properties of the water. This information is useful when solving inverse ocean optics problems with a method for which the radiance is assumed to be approximately in the asymptotic regime.

© 2003 Optical Society of America

OCIS Codes
(010.0010) Atmospheric and oceanic optics : Atmospheric and oceanic optics
(010.4450) Atmospheric and oceanic optics : Oceanic optics
(030.5620) Coherence and statistical optics : Radiative transfer
(290.4210) Scattering : Multiple scattering
(290.7050) Scattering : Turbid media

Original Manuscript: February 22, 2003
Revised Manuscript: June 4, 2003
Published: September 20, 2003

Brian D. Piening and Norman J. McCormick, "Asymptotic optical depths in source-free ocean waters," Appl. Opt. 42, 5382-5387 (2003)

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  1. R. A. Matzner, ed. Dictionary of Geophysics, Astrophysics, and Astronomy (CRC Press, Boca-Raton, Fla., 2001), p. 27.
  2. N. K. Højerslev, J. R. V. Zaneveld, “A theoretical proof of the existence of the submarine asymptotic daylight field,” (University of Copenhagen, Denmark, April1977).
  3. N. J. McCormick, “Asymptotic optical attenuation,” Limnol. Oceanogr. 37, 1570–1578 (1992). [CrossRef]
  4. R. A. Leathers, N. J. McCormick, “Ocean inherent optical property estimation from irradiances,” Appl. Opt. 36, 8685–8698 (1997). [CrossRef]
  5. R. A. Leathers, C. S. Roesler, N. J. McCormick, “Ocean inherent optical property determination from in-water light field measurements,” Appl. Opt. 38, 5096–5103 (1999). [CrossRef]
  6. A. H. Hakim, N. J. McCormick, “Ocean optics estimation for absorption, backscattering, and phase function parameters,” Appl. Opt. 42, 931–938 (2003). [CrossRef] [PubMed]
  7. L. K. Sundman, R. Sanchez, N. J. McCormick, “Ocean optical source estimation with widely spaced irradiance measurements,” Appl. Opt. 37, 3793–3803 (1998). [CrossRef]
  8. R. A. Leathers, N. J. McCormick, “Algorithms for ocean-bottom albedo determination from in-water natural-light measurements,” Appl. Opt. 38, 3199–3205 (1999). [CrossRef]
  9. H. R. Gordon, “Inverse methods in hydrologic optics,” Oceanologia 44, 9–58 (2002).
  10. P. J. Flatau, J. Piskozub, J. R. V. Zaneveld, “Asymptotic light field in the presence of a bubble-layer,” Opt. Exp. 5, 120–124 (1999). [CrossRef]
  11. C. D. Mobley, L. K. Sundman, Hydrolight 4.1 (Sequoia Scientific, Inc., Redmond, Wash., 2000).
  12. C. D. Mobley, Light and Water Radiative Transfer in Natural Waters (Academic, New York, 1994), pp. 457–469 and 512–521.
  13. C. D. Mobley, B. Gentili, H. R. Gordon, Z. Jin, G. W. Kattawar, A. Morel, P. Reinersman, K. Stamnes, R. H. Stavn, “Comparison of numerical models for computing underwater light fields,” Appl. Opt. 32, 7484–7505 (1993). [CrossRef] [PubMed]
  14. H. R. Gordon, K. Ding, W. Gong, “Radiative transfer in the ocean: computations relating to the asymptotic and near-asymptotic daylight field,” Appl. Opt. 32, 1606–1619 (1993). [CrossRef] [PubMed]
  15. L. C. Henyey, J. L. Greenstein, “Diffuse radiation in the galaxy,” Astrophys. J. 93, 70–83 (1941). [CrossRef]
  16. S. Chandrasekhar, Radiative Transfer (Dover, New York, 1960).
  17. N. J. McCormick, “Analytical transport theory applications in optical oceanography,” Ann. Nucl. Energy 23, 381–395 (1996). [CrossRef]
  18. A. H. Hakim, B. D. Piening, N. J. McCormick, Department of Mechanical Engineering, University of Washington, Seattle, Washington 98195-2600, are preparing a manuscript to be called “Near-asymptotic azimuthal angular dependence of ocean optical radiance.”

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