Dilute random distribution of small chiral spheres

Abstract
The problem solved here consists of estimating the effective-medium properties of a chiral composite made of a dilute concentration of small noninteracting chiral spheres, randomly suspended in free space. Volume integral equations, to determine the scattering characteristics of an inhomogeneous chiral scatterer, are obtained. These equations are used to derive the general electromagnetic polarizability matrix of a small, homogeneous, chiral sphere embedded in free space. Finally, from the polarizability matrix, several conclusions regarding the effective properties of the chiral composite are obtained.