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
Original Manuscript: December 2, 2005
Manuscript Accepted: January 29, 2006
Vassilios Yannopapas, "Effective-medium description of disordered photonic alloys," J. Opt. Soc. Am. B 23, 1414-1419 (2006)