Aparticular plane parallel cloud has liquid water density ρw=0.1 gm-3 and thickness δz=100 m. at a certain wavelength, the mass extinction coefficient of the cloud droplets is ke, w=150 m2/kg, and the single scattering albedo is ω0=1.0. however, the air in which the droplets are suspended is itself absorbing at this wavelength, having volume absorption coefficient βa, v=10 km-1 and ω0=0.
(a) compute the combined βe, βa, βs and ω0 for the mixture.
(b) compute the total optical depth τ of the cloud layer.
© if radiation with intensity iλ,top is incident on the top of cloud from a zenith angle θ=60o,
compute the directly transmitted intensity iλ,bottom.