An iterative method for solving the problem of diffraction on a nonlinear dielectric lattice in strong electromagnetic fields

Three problems of nonlinear electrodynamics have been solved. An analytical solution of boundary value problems on the reflection of an electromagnetic wave from a dielectric layer coated with nonlinear graphene and from a nonlinear dielectric layer is presented. A method for solving a nonlinear integro-differential equation (IDE) of the second kind for diffraction problems on a nonlinear dielectric body is proposed. It is shown that an IDU can be transformed to an IDU with a linear integral term and a nonlinear free term. This significantly increases the speed of calculations. An iterative method has been implemented to solve the transformed IDE.