Scattering of H-polarized Plane Wave by a Circular Dielectric Wire with Partial Graphene Cover

We study the problem of the scattering of an H-polarised plane wave by infinite dielectric wire with partial graphene cover. In this work, mathematical models are developed based on the boundary hyper-singular integral equation operator which should be understood in the sense of Hadamard's finite part. Discretization of the derived integral equations is carried out by the Nystrom-type method (of discrete singularities). With the help of the obtained discrete models, we plot the dependences of total scattering cross-section (TSCS), backscattering cross-section (BCS) and absorption cross-section (ACS) on the frequency, slot size and chemical potential of graphene.