A multi-level spectral radiative transfer model is used to develop simple but accurate parameterizations for cloud transmittance as a function of cloud optical depth, solar zenith angle, and surface albedo, for use over snow and ice surfaces. The same functional form is used for broadband and spectral transmittances, but with different coefficients for each spectral interval. When the parameterization is applied to measurements of "raw" cloud transmittance (the ratio of downward irradiance measured under clear sky at the same zenith angle), an "effective" optical depth is inferred for the cloud field, which may be inhomogeneous and even patchy. This effective optical depth can then be used to compute what the transmittance of the same cloud field would be under different conditions of solar illumination and surface albedo. The parameterization faithfully mimics the radiative transfer model, with rms errors of 1-2 %. Lack of knowledge of cloud droplet sizes causes little error in inference of cloud radiative properties; the largest source of error is uncertainty in surface albedo.
The parameterization is applied to broadband-shortwave downward irradiance measurements from ship voyages in the Southern Ocean from 1988 to 2000. The cloud-transmittance measurements will be used together with cloud-type distributions and surface albedo observations to estimate the geographical and seasonal variation of effective optical depth, average cloud transmittance and shortwave cloud forcing, in the ocean around Antarctica.
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