Analysis of magnetically biased graphene-based periodic structures using a transmission-line formulation

The surface conductivity of graphene turns to a tensor in the presence of a static magnetic field, which complicates the required tools for computational electromagnetics (EMs). In this paper, a Fourier-based numerical method in the form of a transmission-line formulation (TLF) is generalized to analyze magnetically biased graphene-based multilayer periodic structures. Correct factorization rules, which are required for reducing computational time and improving convergence rate, cannot be applied to the boundary conditions encountered in these structures. Thus, an approximate boundary condition that has recently been proposed for a fast Fourier modal method developed for a periodic array made of graphene is modified for TLF to analyze such structures under a static magnetic field bias. The obtained numerical results for various structures are presented and compared with those generated by commercial EM solvers to verify the computational efficiency and accuracy of the proposed method. (C) 2016 Optical Society of America