Spatially localized modes in two-dimensional chirped photonic lattices

Mario I. Molina, Yaroslav V. Kartashov, Lluis Torner, Yuri S. Kivshar

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    12 Citations (Scopus)

    Abstract

    We numerically study both linear and nonlinear surface modes in semi-infinite chirped two-dimensional photonic lattices in the framework of an effective discrete nonlinear model. We demonstrate that the lattice chirp can dramatically change the conditions for the mode localization near the surface even in the linear limit, and we find surface modes, in linear lattices, and the families of discrete surface solitons, in nonlinear lattices. In a sharp contrast to one-dimensional discrete surface solitons, we demonstrate that the mode threshold power in two-dimensional lattices is lowered by the action of both the surface and lattice chirp. By manipulating the lattice chirp, we can control the mode position and its localization.

    Original languageEnglish
    Article number053813
    JournalPhysical Review A - Atomic, Molecular, and Optical Physics
    Volume77
    Issue number5
    DOIs
    Publication statusPublished - 15 May 2008

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