Abstract

In this paper, simple approximate formulas are derived for the intensity of secondary scattered (rescattered) sunlight, in a plane-stratified atmosphere of uniform composition, for high solar altitudes and weakly attenuated radiations. The formulas obtained are compared with those given by L. Silberstein in an earlier investigation and found to be simpler and less elaborate to evaluate. Numerical calculations are made for the functions involved and for the rescattered sunlight received at the ground from different directions, for the case when the sun is overhead and for a wave-length corresponding to weakly attenuated radiations. These calculations show that our approximate formulas are really adequate, giving numerical values in closer agreement with the exact values than those of Silberstein.

For other wave-lengths and other altitudes of the sun, simple approximate expressions have been given elsewhere.

© 1948 Optical Society of America

Scattered and Rescattered Sunlight

A. Hammad
J. Opt. Soc. Am. 39(2) 157-161 (1949)

Simplified Formulae for Scattered and Rescattered Sunlight*

Ludwik Silberstein
J. Opt. Soc. Am. 33(9) 526-532 (1943)

Sunlight and Skylight as Determinants of Photographic Exposure.a I. Luminous Density as Determined by Solar Altitude and Atmospheric Conditions

Loyd A. Jones and H. R. Condit
J. Opt. Soc. Am. 38(2) 123-178 (1948)

New Contributions to the Optics of Intensely Light-Scattering Materials. Part I

Paul Kubelka
J. Opt. Soc. Am. 38(5) 448-457 (1948)

The Visibility of Stars in the Daylight Sky

R. Tousey and E. O. Hulburt
J. Opt. Soc. Am. 38(10) 886-896 (1948)