Transverse localization in 1D array of optical waveguides with diagonal correlated disorder

In this paper we investigate the effect of correlation on transverse light localization in 1D array of optical waveguides with random propagating constants. To this end, starting from tight-binding equation, and using perturbation method, the localization length has been obtained. Our results for short-range and long-range correlated propagation constants show that correlation enhances localization length, lead to less confinement of eigen-modes. Moreover, we find that eigen-modes with larger propagation constants are more localized than the modes with lower propagation constant values.