Analysis of Electromagnetic Wave Interactions on Graphene Sheets Using Time Domain Integral Equations

Abstract

A marching on-in-time ( MOT) scheme for analyzing transient electromagnetic wave interactions on graphene sheets is described. The proposed scheme discretizes a time domain-resistive boundary condition ( TDRBC) enforced on the infinitesimally thin graphene sheet. Time domain samples of the graphene's surface resistivity required by the MOT-TDRBC solver are computed from its frequency domain samples using a fast relaxed vector fitting ( FRVF) algorithm. Numerical results, which demonstrate the applicability and accuracy of the proposed scheme, are presented.