Edge States on Hexagonal Array of Resonators with Complex Coupling Constants

https://elib.sfu-kras.ru/handle/2311/157928

A waveguide system consisting of a hexagonal array of resonators with the sixth-order symmetry is studied. Using deformations in the system obtained by permuting vertices on the coordination spheres and changing the constants of coupling between the resonators, the edge states have been obtained, the origin of which is explained by elementary means. The edge solutions are preserved for an array with the complex coupling constants