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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 38, Iss. 6 — Feb. 20, 1999
  • pp: 932–936

Diffuse reflection coefficient of a stratified sea

Vladimir I. Haltrin  »View Author Affiliations


Applied Optics, Vol. 38, Issue 6, pp. 932-936 (1999)
http://dx.doi.org/10.1364/AO.38.000932


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Abstract

A differential equation of a Riccati type for the diffuse reflection coefficient of a stratified sea is proposed. For a homogeneous sea with arbitrary inherent optical properties this equation is solved analytically. For an inhomogeneous sea it is solved approximately for any arbitrary stratification. The resulting equation expresses the diffuse reflection coefficient of the sea through vertical profiles of absorption and backscattering coefficients, bottom albedo, and sea depth. The results of calculations with this equation are compared with Monte Carlo computations. It was found that the precision of this approach is in the range of 15%.

© 1999 Optical Society of America

History
Original Manuscript: May 11, 1998
Revised Manuscript: September 14, 1998
Published: February 20, 1999

Citation
Vladimir I. Haltrin, "Diffuse reflection coefficient of a stratified sea," Appl. Opt. 38, 932-936 (1999)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-38-6-932


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References

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  5. The approach outlined in Refs. 6 and 7 and in this paper differs from the approach of Aas22 in that the values Ed and Eu in Eqs. (2) correspond to downward and upward irradiances by renormalized components of light. In Ref. 22 irradiances Ed and Eu in two-flow equations (12) and (13) are total irradiances. This means that the coefficients in Eqs. (2) should not be compared with the coefficients of Eqs. (12) and (13) of Ref. 22.
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  20. The values of a and bB used here correspond to the 530-nm wavelength band. We should note that in the elastic radiative transfer the wavelength is a parameter. This means that use of values of a and bB at certain wavelengths to estimate possible errors does not restrict this theory to a certain wavelength.
  21. After the submission of this paper the resulting Eqs. (27)–(29) were tested with the Monte Carlo simulations with a modified23 J. T. O. Kirk’s code.24,25 The inherent optical properties were adopted from T. J. Petzold.8,26 The results of simulations confirm the conclusion of Section 4 that the precision of calculation with Eqs. (27)–(29) is in the range of 15%.
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