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An arc tangent model of irradiance in the sea Public Deposited

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  • The solar energy flux as a function of depth (the irradiance profile) in the ocean is an important function. It influences the dynamics of the mixed layer via the heat budget as well as the biology of the euphotic zone. The following three-parameter model can take into account the very rapid decrease near the surface due to absorption of long-wavelength radiation by water as well as the eventual exponential decrease at great depths. E(z) = E(0)e⁻K1z(1 – K₂ arctan K₃z), where E(z) is the irradiance at depth z and K₁, K₂, and K₃ are constants that depend on the optical properties of the water. The constants are determined for Jerlov’s water types. The constants can be readily calculated from any irradiance profile.
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  • Zaneveld, J. V., & Spinrad, R. W. (1980). An arc tangent model of irradiance in the sea [Electronic version]. Journal of Geophysical Research, 85(C9), 4919-4922.
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  • 85
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