Abstract
Abstract Using a rigorous theory of scattering, numerical evidence of the existence of localized modes in a one-dimensional or a two-dimensional set of circular dielectric rods is given. Particular attention is paid to the transition observed between the phenomena of propagation in periodic structures and localization phenomena in random structures. In particular, we show the strong connection between the phenomenon of a photonic band gap that appears in two-dimensional periodic sets of rods and the phenomenon of Anderson localization which is observed when the periodicity is broken
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