Modeling of Cylindrical Configurations Coated by Monolayer Graphene with a Modified Method of Auxiliary Sources

Abstract

Carbon-based materials are being increasingly used in electromagnetic shielding applications substituting traditional materials such as metals. One of these materials is graphene, which is the first 2-D material created having very high surface conductivity in the RF-microwave region. In addition to extensive experimental works, many models have been also proposed to simulate graphene in the context of numerical methods. In this work, we develop a Method of Auxiliary Sources (MAS) approach to perform full-wave analysis of a cylindrical medium covered by a graphene layer. When the conventional MAS approach is followed, numerical difficulties arise when simulating graphene as a material layer due to its extremely small effective thickness, and its very high surface conductivity. To this end, a modified version of MAS is proposed where graphene is simulated as an Impedance Matrix Boundary Condition (IMBC). Numerical experiments verify the effectiveness of the MAS with IMBC the results of which showcase excellent agreement with those obtained by the Finite Element Method (FEM).