Electrodynamic models magnetized graphene diffraction gratings, based on the solution of integral equations for plasmonic anisotropic structures

Two methods have been used to solve the boundary value problem of diffraction of a plane electromagnetic wave on a diffraction grating of graphene strips in the presence of a magnetic field. In solving the obtained integral and paired adder equations, the Galerkin method was used with a basis in the form of Legendre and Hegenbauer polynomials. As a result, systems of linear algebraic equations with fast internal convergence were obtained. All matrix elements of the system are expressed explicitly.