Bi-isotropic mixtures (original) (raw)
STIN, 1991
Abstract
Bi-isotropic heterogeneous media are analyzed. Bi-isotropic materials are characterized by four scalar parameters in the constitutive relations: permittivity, permeability, chirality, and nonreciprocity. The polarizabilities of general bi-isotropic spheres and elipsoids are derived, and these results are used consequently in the analysis of bi-isotropic mixtures. The generalized Maxwell-Garnett formulae are derived for mixtures with spherical or ellipsoidal inclusions in isotropic background medium. The ellipsoids are allowed also to have any orientation distribution. Rayleigh mixing rules are also presented and they are seen to be a natural extension of the Rayleigh rule in the dielectric case. Also, the relation of the results is discussed to the systems employing other sets of constitutive relations for bi-isotropic media. Numerical illustrations are performed that show the effect of shape, amount, and nature of inclusions on the bi-isotropic mixture parameters; this is essential information in the engineering problem of tailoring bi-isotropic composite materials.
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