Plasmon Mode of Plane Dielectric Waveguide With Infinite Graphene Film Scattering by Finite Number of Graphene Strips

We consider the scattering of the H-polarized plasmon mode of the dielectric waveguide with graphene infinite film by the graphene strip grating. At the first step, we determine the propagation constants and field amplitude of the plasmon mode. At the second step we consider scattering problem of this mode by the finite number of graphene strips, placed on the top of the waveguide. Here solution is obtained by the method of singular integral equations. Our solution is full-wave and meshless. For discretization, the Nystrom-type method is used. The convergence is based on the corresponding theorems. We study the possibility of control the angle of the main lobe of the radiation pattern by variation of the chemical potential of the graphene.