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Two-stream irradiance model for deep waters

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Abstract

The two-stream model expresses the vertical attenuation coefficient K and the irradiance ratio R as functions of the absorption coefficient a, the backward scattering coefficient bb, the downward and upward average cosines μ¯d and μ¯u, and the normalized reflectance coefficients of downward and upward scalar irradiance, rd and ru. While K/a and R are almost linear functions of bb/a when bb/a is small, they will approach asymptotic values, which only depend on rd, ru, μ¯d, and μ¯u when bb/a becomes large. The results agree well with oceanic observations of K and R. They also agree with theoretical results derived by other methods. Still proper testing of the model in turbid waters remains.

© 1987 Optical Society of America

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