Modeling Magnetized Graphene in the Finite-Difference Time-Domain Method Using an Anisotropic Surface Boundary Condition

A cost-effective approach to the finite-difference time-domain (FDTD) modeling of magnetized graphene sheets as a dispersive anisotropic conductive surface is proposed. We first introduce a novel method for implementation of anisotropic conductive surface boundary condition in the FDTD method. Then, by applying the surface conductivity matrix of magnetized graphene, we present modeling magnetized graphene as an infinitesimally thin conductive sheet in the FDTD method. The applicability, accuracy, and stability of the method are demonstrated through numerical examples. The proposed approach is validated by comparing the results with existing analytic solution.

[1]  S. Jian,et al.  Graphene plasmons isolator based on non-reciprocal coupling. , 2015, Optics Express.

[2]  Allen Taflove,et al.  Computational Electrodynamics the Finite-Difference Time-Domain Method , 1995 .

[3]  N. Kantartzis,et al.  Consistent Study of Graphene Structures Through the Direct Incorporation of Surface Conductivity , 2014, IEEE Transactions on Magnetics.

[4]  A. Cabellos-Aparicio,et al.  Graphene-based nano-patch antenna for terahertz radiation , 2012 .

[5]  L. J. Jiang,et al.  Modeling of Magnetized Graphene From Microwave to THz Range by DGTD With a Scalar RBC and an ADE , 2015, IEEE Transactions on Antennas and Propagation.

[6]  E. Li,et al.  Efficient Modeling and Simulation of Graphene Devices With the LOD-FDTD Method , 2013, IEEE Microwave and Wireless Components Letters.

[7]  M. Feliziani,et al.  Field analysis of penetrable conductive shields by the finite-difference time-domain method with impedance network boundary conditions (INBCs) , 1999 .

[8]  Vahid Nayyeri,et al.  Wideband Modeling of Graphene Using the Finite-Difference Time-Domain Method , 2013, IEEE Transactions on Antennas and Propagation.

[9]  R. de Oliveira,et al.  FDTD Formulation for Graphene Modeling Based on Piecewise Linear Recursive Convolution and Thin Material Sheets Techniques , 2015, IEEE Antennas and Wireless Propagation Letters.

[10]  C. Caloz,et al.  Gyrotropy and Nonreciprocity of Graphene for Microwave Applications , 2012, IEEE Transactions on Microwave Theory and Techniques.

[11]  M. Shahabadi,et al.  Analysis of magnetically biased graphene-based periodic structures using a transmission-line formulation , 2016 .

[12]  N. Kantartzis,et al.  Optimal Modeling of Infinite Graphene Sheets via a Class of Generalized FDTD Schemes , 2012, IEEE Transactions on Magnetics.

[13]  S.,et al.  Numerical Solution of Initial Boundary Value Problems Involving Maxwell’s Equations in Isotropic Media , 1966 .

[14]  B. Salski An FDTD Model of Graphene Intraband Conductivity , 2014, IEEE Transactions on Microwave Theory and Techniques.

[15]  Finite-difference time-domain implementation of tensor impedance boundary conditions , 2017 .

[16]  G. Hanson Dyadic Green's functions and guided surface waves for a surface conductivity model of graphene , 2007, cond-mat/0701205.

[17]  K. Novoselov,et al.  A roadmap for graphene , 2012, Nature.

[18]  K. Kunz,et al.  Finite-difference time-domain implementation of surface impedance boundary conditions , 1992 .

[19]  M. Dehmollaian,et al.  Modeling of the perfect electromagnetic conducting boundary in the finite difference time domain method , 2013 .

[20]  J. Schneider,et al.  A finite-difference time-domain method applied to anisotropic material , 1993 .

[21]  J. S. Gomez-Diaz,et al.  Analysis and design of terahertz antennas based on plasmonic resonant graphene sheets , 2012 .

[22]  The Derived Equivalent Circuit Model for Magnetized Anisotropic Graphene , 2015, IEEE Transactions on Antennas and Propagation.

[23]  Vahid Nayyeri,et al.  Modeling Graphene in the Finite-Difference Time-Domain Method Using a Surface Boundary Condition , 2013, IEEE Transactions on Antennas and Propagation.

[24]  Nader Engheta,et al.  Transformation Optics Using Graphene , 2011, Science.

[25]  SUPARNA DUTTASINHA,et al.  Graphene: Status and Prospects , 2009, Science.

[26]  Juan Chen,et al.  Three-dimensional dispersive hybrid implicit-explicit finite-difference time-domain method for simulations of graphene , 2016, Comput. Phys. Commun..

[27]  Fengnian Xia,et al.  Graphene applications in electronics and photonics , 2012 .

[28]  M. S. Sarto,et al.  A new model for the FDTD analysis of the shielding performances of thin composite structures , 1999 .

[29]  One-step leapfrog ADI-FDTD method for simulating electromagnetic wave propagation in general dispersive media. , 2013, Optics express.

[30]  G. Hanson,et al.  Dyadic Green's Functions for an Anisotropic, Non-Local Model of Biased Graphene , 2008, IEEE Transactions on Antennas and Propagation.

[32]  V. P. Gusynin,et al.  On the universal ac optical background in graphene , 2009, 0908.2803.

[33]  Qianfan Xu,et al.  Excitation of plasmonic waves in graphene by guided-mode resonances. , 2012, ACS nano.

[34]  Vahid Nayyeri,et al.  A Method to Model Thin Conductive Layers in the Finite-Difference Time-Domain Method , 2014, IEEE Transactions on Electromagnetic Compatibility.

[35]  Daniël De Zutter,et al.  Accurate modeling of thin conducting layers in FDTD , 1998 .

[36]  James G. Maloney,et al.  The use of surface impedance concepts in the finite-difference time-domain method , 1992 .

[37]  J. Perruisseau-Carrier,et al.  Design of tunable biperiodic graphene metasurfaces , 2012, 1210.5611.

[38]  J. R. Mohassel,et al.  FDTD Modeling of Dispersive Bianisotropic Media Using Z-Transform Method , 2011, IEEE Transactions on Antennas and Propagation.