Fm. Schulz et al., Shape dependence of the optical properties in size-shape distributions of randomly oriented prolate spheroids, including highly elongated shapes, J GEO RES-A, 104(D8), 1999, pp. 9413-9421
A sensitivity study is conducted to assess the effect of particle shape on
the optical properties of size-shape distributions of randomly oriented pro
late spheroidal particles. The emphasis is on covering a large range of the
spheroids' aspect ratio in order to include the effects of highly aspheric
al particles. A modified separation of variables method is used to compute
the optical properties of an ensemble of randomly oriented particles of dif
ferent sizes and shapes. The investigation shows that the elements F-11, F-
22/F-11, and F-34/F-11 of the Stokes scattering matrix are very sensitive t
o a variation in the effective aspect ratio of the equiprobable shape distr
ibution considered here. This implies that the effective aspect ratio will
have significant impact on the radiance, the degree of linear polarization,
and the degree of circular polarization of light multiply scattered by suc
h an ensemble of particles. The same elements are only mildly sensitive to
a variation in the effective variance of the shape distribution. The remain
ing elements of the scattering matrix are moderately sensitive to a variati
on in the effective aspect ratio, and rather insensitive to a variation in
the effective variance. The single-scattering albedo and the asymmetry para
meter are found to be near-linear functions of the effective aspect ratio a
nd rather insensitive to the effective variance. The results indicate that
knowledge of the effective aspect ratio might be sufficient to characterize
the single-scattering albedo and the asymmetry parameter df the shape dist
ribution.