Journal of Siberian Federal University. Mathematics & Physics / Edge States on Hexagonal Array of Resonators with Complex Coupling Constants

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. Prepublication
Authors
Fedchenko, Dmitry P.; Goryacheva, Daria V.; Timofeev, Ivan V.
Contact information
Fedchenko, Dmitry P. : Kirensky Institute of Physics Federal Research Center KSC SB RAS Krasnoyarsk, Russian Federation; Siberian Federal University Krasnoyarsk, Russian Federation; OCRID: 0000-0003-2684-6226; Goryacheva, Daria V. : Siberian Federal University Krasnoyarsk, Russian Federation; ; Timofeev, Ivan V. : Kirensky Institute of Physics Federal Research Center KSC SB RAS Krasnoyarsk, Russian Federation; Siberian Federal University Krasnoyarsk, Russian Federation; OCRID: 0000-0002-6558-5607
Keywords
photonic edge states; graphene crystal lattice; tight binding approximation; complex cou-pling constants
Abstract

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

Pages
122–128
EDN
MWDAOG
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/157928