Optical Tamm states in arrays of all-dielectric nanoparticles

We predict that edges of a finite one-dimensional array of high-index dielectric nanoparticles can support evanecsent optical modes localized near the edge, which represent an optical analogue of the well-known electronic Tamm states in solids. We describe the properties of such modes for different types of the edge defect by employing dipole-dipole approximation.