Integral Equation Method Based On Impedance Boundary Conditions And Its Application In Graphene

With the continuous advancement of science and technology,a variety of new materials have also emerged.Non-metallic materials have gradually been used in place of metal materials and have been widely used to meet the requirements for miniaturization and integration of electronic devices.As a new type of two-dimensional non-metallic material,graphene has many properties that three-dimensional materials do not have.Therefore,it is of great significance and high practical value to analyze the electromagnetic scattering properties of graphene.In practical applications,the graphene is usually the target of the mixture of graphene and the dielectric.In this paper,graphene and dielectric hybrid targets are taken as the object of analysis.The electromagnetic scattering properties of graphene and finite dielectric mixed targets are analyzed by using the volume surface integral equation,and the electromagnetic scattering characteristics of graphene and infinity dielectric targets are analyzed by the multilayered media Green's functions method.Firstly,this chapter discusse the equivalent model of isotropic graphene conductivity and relative permittivity,and uses an impedence boundary condition to expand the method of the volume surface integral equation that can analyze the electromagnetic scattering characteristics of isotropic graphene and finite dielectric mixed targets.Then,the difference of the graphene conductivity the magnetic field bias and the non-magnetic field bias was compared.The impedence boundary condition of the anisotropic graphene was used in combination with the volume surface integral equation method to analyze the graphene under the bias of the magnetic field.The numerical examples show the correctness of the method.Secondly,in order to analyze the electromagnetic scattering characteristics of mixed targets of graphene and infinity dielectric,the formulas of the multilayered media Green's functions method for the scattering electric field and scattering magnetic field are deduced.Then the integral formula for the analysis of isotropic graphene and finite dielectric mixed targets using resistance boundary conditions and mixed potential integral equation is deduced.The correctness of the method is verified by sereval examples.Finally,the electromagnetic scattering characteristics of the mixed target of graphene and infinity dielectric under the bias of magnetic field are analyzed by the impedence boundary condition of the anisotropic graphene and the mixed potential integral equation method.The correct method is verified by a set of examples.