Effective constitutive parameters of a sparse medium containing randomly distributed chiral spheres

Studies on the analysis of the effective properties of chiral mixtures have become of great interest in electromagnetic (EM) theory and material science. In general, when a coherent wave propagates through a chiral mixture containing randomly distributed chiral particles in a background medium, it is attenuated by scattering, even if particles in the mixture are lossless ones. Therefore the effective propagation constant becomes a complex value. We have analyzed the effective constitutive parameter and propagation constant for a sparse medium containing randomly distributed chiral spheres embedded in an achiral background medium by using our previously reported method (see Tateiba, M., IEICE Trans. Electron., vol.E78-C, p.1357-65, 1995). The method is based on an unconventional multiple scattering theory by which wave scattering can be systematically treated in a medium whose dielectric particles are randomly displaced from a uniformly ordered spatial distribution. The results computed here have been compared with those of the Maxwell-Garnett (MG) method and Foldy´s approximation, by changing the volume fraction and dielectric constant of chiral spheres.