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In this paper we study the combined effects of size and shape of small solidstate particles on the absorption, emission and scattering characteristics. Weuse the statistical approach to calculate these optical properties. In thisapproach the average optical properties of an ensemble of particles in randomorientation are represented by the average optical properties of an ensemble ofsimple shapes. The validity of this approach is studied in detail for a uniformdistribution of hollow spheres where the fractional volume of the centralinclusion is varied. We apply the results to two different areas of interest,i) infrared spectroscopy and ii) polarization of scattered light. The effectsof particle size and shape on the optical characteristics are discussed. Wecompare the results using the distribution of hollow spheres with thoseobtained by using randomly oriented spheroids. Also we compare the results withobservations and laboratory measurements. The distribution of hollow spheres isvery successful in reproducing laboratory measurements of the scattering angledistribution of the degree of linear polarization for incident unpolarizedlight of randomly oriented irregular quartz particles. Furthermore, we showthat we are able to derive the size distribution of dust grains by fitting themeasured degree of linear polarization using computational result for hollowspheres. It is shown that the distribution of hollow spheres is a powerful toolfor studying light scattering, absorption and emission by cosmic dust grainsand in particular when large numbers of particle parameters need to beconsidered since the computational demand of the distribution of hollow spheresis small.

Modeling optical properties of cosmic dust grains using a distribution of hollow spheres