We compare the downward diffuse and direct normal irradiance computed by a
two-stream model with measurements taken at the Mauna Loa Observatory when
the atmosphere was close to a molecular atmosphere. The modeled downward di
ffuse irradiance agrees with measurements taken by a shaded pyranometer wit
hin the uncertainty of the measurement. Therefore, the two-stream approxima
tion is adequate for computing the downward diffuse irradiance in a molecul
ar atmosphere. This result also indicates that neglecting the state of pola
rization introduces a negligible error in the irradiance computation. Publi
shed by Elsevier Science Ltd.