Singular Integral Equations in THz Waves Scattering by Finite Number of Graphene Strips with Dielectric Substrate

We consider scattering of the H-polarized wave by graphene strips on top of the dielectric slab in the THz frequency range. The problem is reduced to the singular integral equations with additional conditions. Dependences of the scattering characteristics on the frequency for different parameters of the structure are studied. The considered structure can support the plasmon resonances, which frequency can be controlled dynamically due to the tunability of graphene vs. the chemical potential, as well as the grating-mode resonances. Near the grating-mode resonances, an increase in the power of the guided waves is observed. This effect can be used in creation of the guided-waves launchers.