We have investigated light propagation and Anderson localization in one-dimensional dispersive random metamaterials,
focusing on the effects disorder correlation. We analyze and compare the cases where disorder is
uncorrelated, totally correlated and anticorrelated. We show that the photonic gaps of the corresponding periodic
structure are not completely destroyed by the presence of disorder, which leads to minima in the localization
length. We demonstrate that, in the vicinities of a gap of the corresponding periodic structure, the behavior of
the localization length depends crucially on the physical origin of the gap (Bragg or non-Bragg gaps).