A study has been made of the image blurring introduced by a thermally turbulent atmosphere under poor “seeing” conditions for horizontal sight lines. The root-mean-square radius of the blur circle is shown to increase approximately as the square root of the range up to the maximum range considered, using optical transfer techniques. This is in good agreement with a recent theoretical model of light transmission through a turbulent optical medium.
C. B. ROGERS, "Variation of Atmospheric “Seeing” Blur with Object-to-Observer Distance," J. Opt. Soc. Am. 55, 1151-1153 (1965)