Abstract
Anderson localization of electromagnetic waves in random arrays of dielectric cylinders conflned within a planar metallic waveguide is studied. The disordered dielectric medium is modeled by a system of randomly distributed 2D electric dipoles. An efiective theoretical approach based on the method of images is developed. A clear distinction between isolated localized waves (which exist in flnite media) and the band of localized waves (which appears only in the limit of the inflnite medium) is presented. The Anderson transition emerging in the limit of an inflnite medium is observed both in flnite size scaling analysis of transmission and in the properties of the spectra of some random matrices. The sound physical interpretation of the obtained results suggests deeper insight into the existing experimental and theoretical work.
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