Edge states in coupled periodic dielectric waveguides induced by long-range interaction

We study the properties of coupled periodic dielectric nanowaveguides and reveal that finite arrays of equally spaced waveguides with certain parameters support edge modes, which originate due to the presence of the long-range interactions between the waveguides. We provide a simple model of the coupled waveguides with next-to-nearest neighbors interaction that captures the main properties of the considered system including the formation of the edge states. The predicted results suggest that the arrays of periodic dielectric nanowaveguides may serve as a fruitful system for studying the discrete coupled systems with long-range interaction and realizing optical metasurfaces with novel functionalities for guiding surface waves.