Abstract

We calculate the effective electric permittivity of photonic crystals of spherical particles with substitutional disorder. The effective permittivity is obtained by using a coherent-potential approximation scheme for photonic crystals in the context of multiple-scattering theory. The method is applied to the case of dielectric spheres in air as well as to inverted structures, i.e., air spheres in a dielectric medium. The results are compared against the standard Maxwell–Garnett effective-medium theory and its variations.

© 2006 Optical Society of America

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