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Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics

| EXPLORING THE INTERFACE OF LIGHT AND BIOMEDICINE

  • Editor: Gregory W. Faris
  • Vol. 1, Iss. 11 — Nov. 13, 2006

Analytical solution of radiative transfer in the coupled atmosphere–ocean system with a rough surface

Zhonghai Jin, Thomas P. Charlock, Ken Rutledge, Knut Stamnes, and Yingjian Wang  »View Author Affiliations


Applied Optics, Vol. 45, Issue 28, pp. 7443-7455 (2006)
http://dx.doi.org/10.1364/AO.45.007443


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Abstract

Using the computationally efficient discrete-ordinate method, we present an analytical solution for radiative transfer in the coupled atmosphere–ocean system with a rough air–water interface. The theoretical formulations of the radiative transfer equation and solution are described. The effects of surface roughness on the radiation field in the atmosphere and ocean are studied and compared with satellite and surface measurements. The results show that ocean surface roughness has significant effects on the upwelling radiation in the atmosphere and the downwelling radiation in the ocean. As wind speed increases, the angular domain of sunglint broadens, the surface albedo decreases, and the transmission to the ocean increases. The downward radiance field in the upper ocean is highly anisotropic, but this anisotropy decreases rapidly as surface wind increases and as ocean depth increases. The effects of surface roughness on radiation also depend greatly on both wavelength and angle of incidence (i.e., solar elevation); these effects are significantly smaller throughout the spectrum at high Sun. The model-observation discrepancies may indicate that the Cox–Munk surface roughness model is not sufficient for high wind conditions.

© 2006 Optical Society of America

OCIS Codes
(010.1290) Atmospheric and oceanic optics : Atmospheric optics
(010.4450) Atmospheric and oceanic optics : Oceanic optics
(030.5620) Coherence and statistical optics : Radiative transfer

ToC Category:
Atmospheric and Oceanic Optics

History
Original Manuscript: January 4, 2006
Revised Manuscript: March 6, 2006
Manuscript Accepted: April 25, 2006

Virtual Issues
Vol. 1, Iss. 11 Virtual Journal for Biomedical Optics

Citation
Zhonghai Jin, Thomas P. Charlock, Ken Rutledge, Knut Stamnes, and Yingjian Wang, "Analytical solution of radiative transfer in the coupled atmosphere-ocean system with a rough surface," Appl. Opt. 45, 7443-7455 (2006)
http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=ao-45-28-7443


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References

  1. C. Cox and W. Munk, "Measurement of the roughness of the sea surface from photographs of the sun's glitter," J. Opt. Soc. Am. 44, 838-850 (1954). [CrossRef]
  2. A. Morel and B. Gentili, "Diffuse reflectance of oceanic waters. II: bidirectional aspects," Appl. Opt. 32, 6864-6879 (1993). [CrossRef] [PubMed]
  3. G. N. Plass and G. W. Kattawar, "Radiative transfer in the earth's atmosphere and ocean: influence of ocean waves," Appl. Opt. 14, 1924-1936 (1975). [CrossRef] [PubMed]
  4. J. T. O. Kirk, "The upwelling light stream in natural waters," Limnol. Oceanogr. 34, 1410-1425 (1989). [CrossRef]
  5. H. Gordon and M. Wang, "Surface-roughness considerations for atmospheric correction of ocean color sensors. I. The Rayleigh-scattering component," Appl. Opt. 31, 4247-4260 (1992). [CrossRef] [PubMed]
  6. R. W. Preisendorfer and C. D. Mobley, "Albedos and glitter patterns of a wind-roughened sea surface," J. Phys. Oceanogr. 16, 1293-1316 (1986). [CrossRef]
  7. T. Nakajima and M. Tanaka, "Effect of wind-generated waves on the transfer of solar radiation in the atmosphere-ocean system," J. Quant. Spectrosc. Radiat. Transfer 29, 521-537 (1983). [CrossRef]
  8. J. L. Deuze, M. Herman, and R. Santer, "Fourier series expansion of the transfer equation in the atmosphere-ocean system," J. Quant. Spectrosc. Radiat. Transfer 41, 483-494 (1989). [CrossRef]
  9. Z. Jin and K. Stamnes, "Radiative transfer in nonuniformly refracting layered media: atmosphere-ocean system," Appl. Opt. 33, 431-442 (1994). [CrossRef] [PubMed]
  10. K. I. Gjerstad, J. Stamnes, B. Hamre, J. K. Lotsberg, B. Yan, and K. Stamnes, "Monte Carlo and discrete-ordinate simulations of irradiances in the coupled atmosphere-ocean system," Appl. Opt. 42, 2609-2622 (2003). [CrossRef] [PubMed]
  11. K. Stamnes, S. C. Tsay, W. Wiscombe, and K. Jayaweera, "Numerically stable algorithm for discrete-ordinate-method radiative transfer in multiple scattering and emitting layered media," Appl. Opt. 27, 2502-2509 (1988). [CrossRef] [PubMed]
  12. L. Tsang, J. A. Kong, and R. T. Shin, Theory of Remote Sensing (Wiley, 1985).
  13. M. I. Sancer, "Shadow-corrected electromagnetic scattering from a randomly-rough ocean surface," IEEE Trans. Antennas Propag. AP-17, 557-585 (1969).
  14. Z. Jin, T. P. Charlock, and K. Rutledge, "Analysis of broadband solar radiation and albedo over the ocean surface at COVE," J. Atmos. Ocean. Technol. 19, 1585-1601 (2002). [CrossRef]
  15. Z. Jin, T. P. Charlock, K. Rutledge, G. Cota, R. Kahn, J. RedemannT. Zhang, D. A. Rutan, and F. Rose, "Radiative transfer modeling for the CLAMS experiment," J. Atmos. Sci. 62, 1052-1070 (2005). [CrossRef]
  16. S. Kato, T. P. Ackerman, J. H. Mather, and E. E. Clothiaux, "The K-distribution method and correlated-k approximation for a shortwave radiative transfer model," J. Quant. Spectrosc. Radiat. Transfer 62, 109-121 (1999). [CrossRef]
  17. R. A. McClatchey, R. W. Fenn, J. E. A. Selby, F. E. Volz, and J. S. Garing, Optical Properties of the Atmosphere, AFCRL Rep. AFCRL-72-0497 (Air Force Cambridge Research Laboratories, Bedford, Mass. A, 1972).
  18. A. Morel and S. Maritorena, "Bio-optical properties of oceanic waters: a reappraisal," J. Geophys. Res. 106(C4), 7163-7180 (2001). [CrossRef]
  19. T. J. Petzold, Volume Scattering Functions for Selected Ocean Waters (Scripps Institution of Oceanography, 1977).
  20. B. A. Wielicki, B. R. Barkstrom, E. F. Harrison, R. B. Lee, G. L. Smith, and J. E. Cooper, "Clouds and the Earth's radiant energy system (CERES): an Earth observing system experiment," Bull. Am. Meteorol. Soc. 77, 853-868 (1996). [CrossRef]
  21. W. L. Smith, Jr., T. P. Charlock, R. Kahn, J. V. Martins, L. A. Remer, P. V. Hobbs, J. Redemann, and C. K. Rutledge, "EOS TERRA aerosol and radiative flux validation: an overview of the Chesapeake lighthouse and aircraft measurements for satellites (CLAMS) experiment," J. Atmos. Sci. 62, 903-918 (2005). [CrossRef]
  22. B. N. Holben, T. F. Eck, I. Slutsker, D. Tanre, J. P. Buis, A. Setzer, E. Vermote, J. A. Reagan, Y. J. Kaufman, T. Nakajima, F. Lavenu, I. Jankowiak, and A. Smirnov, "AERONET--A federated instrument network and data archive for aerosol characterization," Remote Sens. Environ. 66, 1-16 (1998). [CrossRef]
  23. O. Dubovik and M. D. King, "A flexible inversion algorithm for retrieval of aerosol optical properties from sun and sky radiance measurements," J. Geophys. Res. 105, 20673-20696 (2000). [CrossRef]
  24. N. Ebuchi and S. Kizu, "Probability distribution of surface slope derived using sun glitter images from geostationary meteorological satellite and surface vector winds from scatterometers," J. Oceanogr. 58, 477-486 (2002). [CrossRef]

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