Using the reciprocal equation derived by Yang and Gordon [Appl. Opt. <b>36,</b> 7887–7897 (1997)] for atmospheric diffuse transmittance of the ocean–atmosphere system, I examined the accuracy of an analytical equation proposed by Gordon <i>et al</i>. [Appl. Opt. <b>22,</b> 20–36 (1983)] in computing the atmospheric diffuse transmittance for wavelengths from 412 to 865 nm for both a pure Rayleigh and a two-layer Rayleigh-aerosol atmosphere overlying a flat Fresnel-reflecting ocean surface. It was found that for viewing angles up to approximately 40°, the analytical formula produces errors usually between 2% and 3% for nonabsorbing and weakly absorbing aerosols and for aerosol optical thicknesses τ<sub><i>a</i></sub> ≤ 0.4. The error increases with an increase in aerosol absorption, aerosol optical thickness, and viewing angle, and with the decrease of wavelength. By a simple numerical fit to modify the analytical formula, the atmospheric diffuse transmittance can be accurately computed usually to within ~1% (~0.5% in most cases) for a variety of aerosol models, aerosol optical thicknesses τ<sub><i>a</i></sub> ≤ 0.6, viewing angles θ ≤ 60°, different aerosol vertical structure distribution, and for wavelengths from 412 to 865 nm.
© 1999 Optical Society of America
(010.1290) Atmospheric and oceanic optics : Atmospheric optics
(010.1320) Atmospheric and oceanic optics : Atmospheric transmittance
(010.4450) Atmospheric and oceanic optics : Oceanic optics
(280.0280) Remote sensing and sensors : Remote sensing and sensors
Menghua Wang, "Atmospheric Correction of Ocean Color Sensors: Computing Atmospheric Diffuse Transmittance," Appl. Opt. 38, 451-455 (1999)