Localization in correlated bilayer structures: from photonic crystals to metamaterials and semiconductor superlattices.

In a unified approach, we study the transport properties of periodic-on-average bilayered photonic crystals, metamaterials, and semiconductor superlattices. Our consideration is based on the analytical expression for the localization length derived for the case of weakly fluctuating widths of layers and takes into account possible correlations in disorder. We analyze how the correlations lead to anomalous properties of transport. In particular, we show that for quarter stack layered media specific correlations can result in a omega;{2} dependence of the Lyapunov exponent in all spectral bands.