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Numerical demonstrations of the strong localization of light are presented by illustrating aperiodic two-dimensional waveguides. For this purpose, the correspondence between the discretized form of the wave equation for light and the vibrational equation of motion for lattice dynamics is discussed in a general form. We emphasize that this mapping is useful not only to gain insight into the nature of the strong localization of light, but also to perform large-scale simulations on this phenomenon by employing an accurate numerical technique. The results will serve as a useful guide for the modeling and design of optical waveguides in which one can observe the strong localization of light.
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Nakayama et al. (1993) studied this question.
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