We frame the transverse Anderson localization of light in a one-dimensionaldisordered optical lattice in the language of localized propagating eigenmodes.The modal analysis allows us to explore localization behavior of a disorderedlattice independent of the properties of the external excitation. Variouslocalization-related phenomena, such as the periodic revival of a propagatingAnderson-localized beam are easily explained in modal language. We characterizethe localization strength by the average width of the guided modes and carryout a detailed analysis of localization behavior as a function of the opticaland geometrical parameters of the disordered lattice. We also show that inorder to obtain a minimum average mode width, the average width of theindividual random sites in the disordered lattice must be larger than thewavelength of the light by approximately a factor of two or more, and theoptimum site width for the maximum localization depends on the designparameters of the disordered lattice.
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