Experimental measurements of the transmission properties of New England haze and fog are correlated with a modification of the single scatter theory. The modified single scatter theory is derived and its consequences are compared graphically with measured range dependent data and the angular distribution of scattered flux. The results may be summarized within the limits of 0.04<σ<16 (km-l) and 0.2<D<10 (km) by T= e-σD+0.3σ0.5De-σ0.3D, where T is the transmission function for radiant energy intercepted by a 2π detector, σ the atmospheric attenuation coefficient, and D the range from the isotropic source.
RALPH G. ELDRIDGE and JOHN C. JOHNSON, "Distribution of Irradiance in Ilaze and Fog," J. Opt. Soc. Am. 52, 787-791 (1962)