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We find that honeycomb lattices support diffraction-free multi-vortices above the van-Hove singularity. Exact solutions for the spinor components are obtained in the Dirac limit. Right at the singularity the solutions become infinite extend stripes.
We study symmetry-breaking of the multi-vortex Bloch modes in optically induced hexagonal lattices. Such symmetry-breaking results from either exciting with an anisotropic beam or inducing an anisotropic photonic lattice.
We overview our results on nonlinear photonics in optically-induced oneand two-dimensional lattices, including Bragg scattering, Bloch-wave interaction, formation of gap and vortex solitons.
Summary form only given. Modulation instability (MI) is a common phenomenon in coherent non-linear wave systems; it can be typically observed on top of a broad pulse or an optical beam. In this case, small noise perturbations grow exponentially as the pulse propagates, transferring energy from large wavelengths into smaller wavelengths. In a sense, MI phenomena can be regarded as a precursor of bright...
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