Dirac-Delta Function Approximations to the Scattering Phase Function
Dirac-delta function approximations are used to represent the single scattering phase function of large spherical particles or voids. The phase function for a spherical particle or void can be represented by a series of Legendre polynomials; however, as the diameter is increased, forward scattering becomes dominant and the number of terms in the series becomes very large. A Dirac-delta function approximation consists of a Dirac-delta function in the forward direction plus a finite series of Legendre polynomials. The Dirac-delta function accounts for strong forward scattering. Particular attention is given to large ice spheres and spherical voids in ice. The Dirac-delta function is shown effective in reducing the number of terms needed to describe the phase function. © 1985.
A. L. Crosbie and G. W. Davidson, "Dirac-Delta Function Approximations to the Scattering Phase Function," Journal of Quantitative Spectroscopy and Radiative Transfer, Elsevier, Jan 1985.
The definitive version is available at https://doi.org/10.1016/0022-4073(85)90200-6
Mechanical and Aerospace Engineering
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© 1985 Elsevier, All rights reserved.