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.

Keywords: Anderson localization, Transverse localization length, diagonal disorder, short and long range correlation

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