Polarisability and mixing formula for chiral ellipsoids

The polarisability matrix of a chiral ellipsoid is derived as a function of the constitutive parameters and the ellipsoid geometry. The matrix has four dyadic components that describe the electric and magnetic responses to electric and magnetic fields. The polarisability matrix is then applied to the analysis of a mixture with aligned chiral ellipsoids in a background matrix, resulting in mixing formulae for the macroscopic permittivity, permeability, and chirality of the mixture. These mixing rules can be used in the design of chiral composites that have recently been intensively studied.