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Effect of 3-D instrument casing shape on the self-shading of in-water upwelling irradiance

Jacek Piskozub

Open Access Open Access

Abstract

The self-shading measurement error of the upwelling irradiance caused by the presence of a typical cylindrical housing of an optical instrument was calculated with the 3-D Monte-Carlo code as a function of the housing dimensions and of the optical parameters of seawater. The resulting values were compared to the self-shading error for a flat disk of the same diameter, originally used to establish self-shading error estimations universally used in marine optics. The results show that the self-shading of upwelling irradiance is underestimated by up to 25% producing a significant underestimation of the measured upwelling irradiance, and therefore reflectance, especially in turbid waters.

©2004 Optical Society of America

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Figures (6)
Fig. 1.
Fig. 1. The self-shading error dependance on absorption a for instruments with two radii, a flat disk and cylindrical shape (b=0.3 m-1 see text for other input data details)

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Fig 2.
Fig 2. The self shading error dependance on photon survival ratio ω0 for instrument with a flat disk and cylindrical shape (c=0.5 m-1 see text for other input data details)

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Fig. 3.
Fig. 3. The self-shading error of upwelling vector irradiance as a function of the sun zenith angle for flat disk shading and cylindrical housing of two radii (c=0.6 m-1, ω 0=0.8).

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Fig. 4.
Fig. 4. The self-shading error of upwelling vector irradiance as a function of the cylindrical housing height h, for two instrument radii and two values of attenuation c (ω0 =0.8).

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Fig. 5.
Fig. 5. The self-shading error of upwelling vector irradiance as a function of the instrument radius r, for a flat disk shading and a cylindrical housing where height h=1 m (c=0.6 m-1, ω0 =0.8).

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Fig. 6.
Fig. 6. The self shading error of upwelling vector irradiance as a function of instrument height for cylindrical housing of a constant volume V=πr2 h (c=0.6 m-1, ω0 =0.8)

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