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Applied Optics

Applied Optics


  • Vol. 36, Iss. 33 — Nov. 20, 1997
  • pp: 8685–8698

Ocean inherent optical property estimation from irradiances

Robert A. Leathers and Norman J. McCormick  »View Author Affiliations

Applied Optics, Vol. 36, Issue 33, pp. 8685-8698 (1997)

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A method is evaluated for estimating the absorption coefficient a and the backscattering coefficient bb from measurements of the upward and downward irradiances Eu(z) and Ed(z). With this method, the reflectance ratio R(z) and the downward diffuse attenuation coefficient Kd(z) obtained from Eu(z) and Ed(z) are used to estimate the inherent optical properties R and K that are the asymptotic values of R(z) and Kd(z), respectively. For an assumed scattering phase function β ˜, there are unique correlations between the values of R and K and those of a and bb that can be derived from the radiative transfer equation. Good estimates of a and the Gordon parameter G = bb/(a + bb) can be obtained from R and K if the true scattering phase function is not greatly different from the assumed function. The method works best in deep, homogeneous waters, but can be applied to some cases of stratified waters. To improve performance in shallow waters where bottom effects are important, the deep- and shallow-measurement reflectance models also are developed.

© 1997 Optical Society of America

Original Manuscript: February 10, 1997
Revised Manuscript: August 11, 1997
Published: November 20, 1997

Robert A. Leathers and Norman J. McCormick, "Ocean inherent optical property estimation from irradiances," Appl. Opt. 36, 8685-8698 (1997)

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  1. R. W. Preisendorfer, Hydrologic Optics, V.1. NTIS PB 259793/8ST (National Technical Information Service, Springfield, Va., 1976).
  2. D. A. Kiefer, B. G. Mitchell, “A simple, steady-state description of phytoplankton growth based on absorption cross section and quantum efficiency,” Limnol. Oceanogr. 28, 770–776 (1983). [CrossRef]
  3. M. Kishino, “Interrelationship between light and phytoplankton in the sea,” in Ocean Optics, R. W. Spinrad, K. L. Carder, M. J. Perry, eds. (Oxford U. Press, New York, 1994).
  4. A. A. Gershun, “The light field,” J. Math. Phys. (Cambridge, Mass.) 18, 51–151 (1939).
  5. K. L. Carder, D. J. Collins, M. J. Perry, H. L. Clark, J. M. Mesias, J. S. Cleveland, J Greenier, “The interaction of light with phytoplankton in the marine environment,” in Ocean Optics VIII, M. A. Blizard, ed., Proc. SPIE637, 42–55 (1986).
  6. L. Prieur, S. Sathyendranath, “An optical classification of coastal and oceanic waters based on the specific spectral absorption curves of phytoplankton pigments, dissolved organic matter, and other particulate materials,” Limnol. Oceanogr. 26, 671–689 (1981). [CrossRef]
  7. J. R. V. Zaneveld, “A reflecting tube absorption meter,” in Ocean Optics X, R. W. Spinrad, ed., Proc. SPIE1302, 124–136 (1990). [CrossRef]
  8. H. R. Gordon, “Modeling and simulating radiative transfer in the ocean,” in Ocean Optics, R. W. Spinrad, K. L. Carder, M. J. Perry, eds. (Oxford U. Press, New York, 1994).
  9. H. R. Gordon, G. C. Boynton, “A radiance–irradiance inversion algorithm for estimating the absorption and backscattering coefficients of natural waters: homogeneous waters,” Appl. Opt. 36, 2636–2641 (1997). [CrossRef] [PubMed]
  10. Z. Tao, N. J. McCormick, R. Sanchez, “Ocean source and optical property estimation using explicit and implicit algorithms,” Appl. Opt. 33, 3265–3275 (1994). [CrossRef] [PubMed]
  11. S. Chandrasekhar, Radiative Transfer (Oxford U. Press, New York, 1950).
  12. M. Benassi, R. D. M. Garcia, A. H. J. Karp, C. E. Siewert, “A high-order spherical harmonics solution to the standard problem in radiative transfer,” Astrophys. J. 280, 853–864 (1984). [CrossRef]
  13. N. J. McCormick, “Asymptotic optical attenuation,” Limnol. Oceanogr. 37, 1570–1578 (1992). [CrossRef]
  14. C. E. Siewert, “The FN method for solving radiative-transfer problems in plane geometry,” Astrophys. Space Sci. 58, 131–137 (1978). [CrossRef]
  15. L. C. Henyey, J. L. Greenstein, “Diffuse radiation in the galaxy,” Astrophys. J. 93, 70–83 (1941). [CrossRef]
  16. K. Stamnes, “The Chandrasekhar method and its applications to atmospheric radiative transfer,” Trans. Am. Nucl. Soc. 71, 213–214 (1994).
  17. Z. Jin, K. Stamnes, “Radiative transfer in nonuniformly refracting layered media such as the atmosphere/ocean system,” Appl. Opt. 33, 431–442 (1994). [CrossRef] [PubMed]
  18. N. J. McCormick, “Analytical transport theory applications in optical oceanography,” Ann. Nucl. Energy 23, 381–395 (1996). [CrossRef]
  19. J. R. V. Zaneveld, “An asymptotic closure theory for irradiance in the sea and its inversion to obtain the inherent optical properties,” Limnol. Oceanogr. 34, 1442–1452 (1989). [CrossRef]
  20. N. J. McCormick, “Mathematical models for the mean cosine of irradiance and the diffuse attenuation coefficient,” Limnol. Oceanogr. 40, 1013–1018 (1995). [CrossRef]
  21. H. R. Gordon, O. B. Brown, M. M. Jacobs, “Computed relationships between the inherent and apparent optical properties of a flat homogeneous ocean,” Appl. Opt. 14, 417–427 (1975). [CrossRef] [PubMed]
  22. W. H. Press, B. P. Flannery, S. A. Teukolsky, W. T. Vetterling, Numerical Recipes (Cambridge U. Press, New York, 1989), pp. 274–286.
  23. T. J. Petzold, “Volume scattering functions for selected ocean waters,” (Scripps Institution of Oceanography, Visibility Laboratory, San Diego, Calif., 1972).
  24. P. W. Francisco, N. J. McCormick, “Chlorophyll concentration effects on asymptotic optical attenuation,” Limnol. Oceanogr. 39, 1195–1205 (1994). [CrossRef]
  25. G. W. Kattawar, “A three-parameter analytic phase function for multiple scattering calculations,” J. Quant. Spectrosc. Radiat. Transfer 15, 839–849 (1975). [CrossRef]
  26. V. I. Haltrin, “Algorithm for computing apparent optical properties of shallow waters under arbitrary surface illumination,” in Proceedings of the International Airborne Remote Sensing Conference and Exhibition (Environmental Research Institute of Michigan, Ann Arbor, Mich., 1997), pp. 463–470.
  27. N. T. O’Neill, A. R. Kalinauskas, J. D. Dunlop, A. B. Hollinger, H. Edel, M. Casey, J. Gibson, “Bathymetric analysis of geometrically corrected imagery data collected using a two dimensional imager,” in Ocean Optics VIII, M. A. Blizard, ed., Proc. SPIE637, 191–202 (1986).

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