Abstract
An approximate method of solution for the scattering of radiation by optically thick media is described. Multiple scattering functions, analogous to single scattering functions, are derived by a Monte Carlo technique. For a given particle size distribution, these multiple scattering functions are related only to the single scattering function and the optical depth. For cases such as combustion smoke in which the particle number density varies but the particle size distribution is fairly constant, a straightforwar d method is given for interpreting light scattering data and for predicting light scattering or visibility. For the cases described in this paper, scattering by alumina particle clouds with optical depths of 0.2-10, the multiple scattering functions differ greatly from the single scattering function only in the forward direction. In other directions, the two functions agree within a factor of 4. The differences would be much greater for nonabsorbing particles. The results are compared to earlier rocket exhaust smoke visibility calculations that presumed single scattering. For an optical depth of 10.
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