On the existence and uniqueness of the solution of an integro-differential equation in the problem of diffraction of an electromagnetic wave on an inhomogeneous diejectric body coated with graphene
Abstract:
Boundary value problems for a system of Maxwell’s equations are fundamental in electrodynamics. Recently, there has been interest in problems with the presence of a thin graphene layer on the surface, which changes the coupling conditions. An integro-differential equation for the vector boundary value problem of electromagnetic wave diffraction on an inhomogeneous dielectric body coated with graphene is obtained. The existence and uniqueness of the solution of an integro-differential equation, which can be called a surface-volume equation, is proved.
Key words:integro-differential equation, Maxwell’s system of equations, dielectric solid, graphene.
