Abstract
We numerically study the propagation of Gaussian beams in four different types of transverse separation modulated photonic lattices. We find the modulation obeying hyperbolic secant or rectangular functions can act as optical potentials, and the light waves can be localized or recur in the regions between such two positive potentials, respectively. While the beams decay in the regions between such two negative potentials since these structures could not support localized modes. Our results provide new ways for light controlling and manipulation in photonic lattices.
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