A sunphotometer is an instrument that looks at visible light coming in a straight line directly from the sun with F0 = 1850 W/m²/um. At one point with cloudy sky and aerosol plume under the cloud, it measures an irradiance of 20 W/m²/um. When the cloud passes this increases to 1240 W/m²/um and when there were no aerosols, the irradiance became 1530 W/m²/um. Assuming sun zenith angle 15 degrees: a) What is the optical depth of the cloud? b) If the cloud would be twice thinner, what intensity would the sunphotometer measures when the cloud was overhead? What is the transmittance for this case? c) What are the optical thicknesses of aerosol and Rayleigh scattering components?

Applications and Investigations in Earth Science (9th Edition)
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 A sunphotometer is an instrument that looks at visible light coming in a straight line directly from the sun with F0 = 1850 W/m²/um. At one point with cloudy sky and aerosol plume under the cloud, it measures an irradiance of 20 W/m²/um. When the cloud passes this increases to 1240 W/m²/um and when there were no aerosols, the irradiance became 1530 W/m²/um. Assuming sun zenith angle 15 degrees:

a) What is the optical depth of the cloud?

b) If the cloud would be twice thinner, what intensity would the sunphotometer measures when the cloud was overhead? What is the transmittance for this case?

c) What are the optical thicknesses of aerosol and Rayleigh scattering components?

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