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Tight-binding methods for general longitudinally driven photonic lattices: Edge states and solitons

Tight-binding methods for general longitudinally driven photonic lattices: Edge states and solitons

A systematic approach for deriving tight-binding approximations in general longitudinally driven lattices is presented. As prototypes, honeycomb and staggered square lattices are considered. Time-reversal symmetry is broken by varying and/or rotating the waveguides, longitudinally, along the direction of propagation. Different sublattice rotation and structure are allowed. Linear Floquet bands are …