Abstract: We study theoretically the dispersion properties of Bloch modes and nonlinearly-induced defect states in two-dimensional waveguide arrays. We define the conditions for achieving anomalous group-velocity dispersion and discuss possibilities for generation of spatiotemporal solitons.

Keywords: wave-guide arrays; photonic bandgap fiber; spatial solitons; discrete solitons; optical solitons; lattices; bullets; localization; propagation; diffraction

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