Dual-frequency unidirectional reflectionless propagation in a non-Hermitian graphene plasmonic waveguide-cavity coupling system.

We theoretically investigate a controllable dual-frequency unidirectional reflectionlessness at exceptional points by applying external voltage in a graphene plasmonic waveguide system. The system consists of a graphene waveguide and two end-coupled resonators. COMSOL simulation results show that the reflection of edge fundamental graphene surface plasmon polaritons mode for forward (backward) incidence is near to zero at frequency 24.418 THz (20.865 THz), while that for backward (forward) incidence is 24.71% (22.945%), respectively. In addition, the non-Hermitian scattering matrix is proposed to verify the existence of double exceptional points, and the tunable unidirectional reflectionless phenomenon is also achieved by changing the Fermi level () of graphene.