Consistent Study of Graphene Structures Through the Direct Incorporation of Surface Conductivity

Bouzianas, Georgios D.; Kantartzis, Nikolaos V.; Yioultsis, Traianos V.; Tsiboukis, T.D.

doi:10.1109/tmag.2013.2282332

Cited by 58 publications

(30 citation statements)

References 16 publications

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“…Fig. 2(a) shows the electric field recorded at the observation point, E gr z (2020Δ) computed with a time step set to Δ t = Δ CFL t max = 66.712 × 10 −18 s as obtained with the presented RK-ETD FDTD scheme where no instability occurs over the whole show the field obtained by the DI-ADE scheme [5] with Δ t = Δ CFL t max in the early time and in the late time, respectively. It can be seen that the field starts to be unstable in the early time and increases without bound in the late time.…”

Section: Simulation Studymentioning

confidence: 99%

“…This increases the interest in developing accurate and efficient numerical methods to simulate Graphene. In the last decade, the finite difference time domain (FDTD) method [3], one of the popular discrete time domain numerical techniques, has been successfully used in the simulation of electromagnetic wave propagation in Graphene [4][5][6]. In this respect, Graphene dispersion is typically characterized in the gigahertz (GHz) and terahertz (THZ) frequency regimes by a Drude model [7], and incorporated into the FDTD algorithm by a direct integration auxiliary differential equation (DI-ADE) scheme that relates the current density J and the electric field E. Nevertheless, by using a similar stability analysis given in [8], it can be shown that the time step stability limit of the DI-ADE scheme of [4][5][6] is a function of the Graphene parameters and introduces additional stability stringent criterion other than the standard Courant-Friedrichs-Lewy (CFL) constraint and given by…”

Section: Introductionmentioning

confidence: 99%

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Runge-Kutta Exponential Time Differencing Scheme for Incorporating Graphene Dispersion in the FDTD Simulations

Ramadan¹

2019

PIER Letters

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In this paper, the Runge-Kutta exponential time differencing (RK-ETD) scheme is used for incorporating Graphene dispersion in the finite difference time domain (FDTD) simulations. The Graphene dispersion is described in the gigahertz and terahertz frequency regimes by Drude model, and the stability of the implementation is studied by means of the von Neumann method combined with the Routh-Hurwitz criterion. It is shown that the presented implementation retains the standard nondispersive FDTD time step stability constraint. In addition, the RK-ETD scheme is used for the FDTD implementation of the complex-frequency shifted perfectly matched layer (CFS-PML) to truncated open region simulation domains. A numerical example is included to validate both the stability and accuracy of the given implementation.

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Section: Simulation Studymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Runge-Kutta Exponential Time Differencing Scheme for Incorporating Graphene Dispersion in the FDTD Simulations

Ramadan¹

2019

PIER Letters

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“…where ε top is the relative dielectric parameter of the top material and ε bot is the relative dielectric parameter of the bottom material. According to the above equation, a matrix description for Poisson equation can be constructed as Equation 6.…”

Section: Nonlinear Poissonmentioning

confidence: 99%

“…Because of its outstanding optical and electrical properties, including high optical transmittance, ultrahigh mobility, and low resistivity, graphene has attracted more and more attention on next‐generation technology development. As graphene can be used as transparent and conductive electrodes, both experimental and theoretical studies of graphene‐based nanoelectronic and nanophotonic structures and devices have been carried out .…”

Section: Introductionmentioning

confidence: 99%

Computational study of graphene‐gated graphene‐Si thin film Schottky junction field‐effect solar cell by finite difference method

Xie

Wang

Yang

et al. 2018

Int J Numerical Modelling

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Modeling and simulation approaches are developed to investigate our proposed graphene‐gated graphene‐Si thin film Schottky junction field‐effect solar cell. Algorithm based on finite difference method is developed to solve the Poisson equation, drift‐diffusion equations, and current continuity equations. Charge transfer effect in the proposed solar cell is not significant due to light doping in the Si thin film. The open‐circuit voltage and short‐circuit current can be tuned by gate bias. As the magnitude of negative bias increases, both the open‐circuit voltage and short‐circuit current increase due to the increase of Schottky barrier height and depletion width. Thin oxide thickness leads to high modulation efficiency. Optimization of the solar cell is achieved by introducing back field layer to increase carrier collection efficiency.

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“…We will compare the propagation in graphene with the one in LHM and with the transmission line case and stress the similarities and differences. Despite of the different theoretical and computational methods studying realistic meta‐material systems , a simple model describing the propagation of wave packets in meta‐materials is, to our knowledge, absent in the literature. Our work provides the readers with straightforward 1D approaches toward a better understanding of the problem of wave packet propagation in meta‐materials.…”

Section: Introductionmentioning

confidence: 99%

Wave fronts and packets in 1D models of different meta-materials: Graphene, left-handed media and transmission line

Matulis

Zarenia

Peeters

2015

Phys. Status Solidi B

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A comparative study is made of the propagation of wave packets and fronts in three different meta‐media, i.e. graphene, left‐handed media (LHM) and transmission lines, using one‐dimensional models. It is shown that a potential step in graphene influences only the frequency of the electronic wave, i.e., the particular spectrum branch (electron or hole) to which the wave belongs to, while the envelop function (the wave front or packet form) remains unchanged. Although the model for a vacuum and LHM interface is similar to that of the potential step in graphene, the solutions are quite different due to differences in the chirality of the waves. Comparing the propagation of wave fronts and packets in a standard transmission line and its meta‐analog we demonstrate that the propagating packets in the meta‐line are much more deformed as compared to the standard one, including broadening, asymmetry and even the appearance of fast moving precursors. This influence is seen not only in the case of packets with steep fronts but in soft Gaussian packets as well.

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Consistent Study of Graphene Structures Through the Direct Incorporation of Surface Conductivity

Cited by 58 publications

References 16 publications

Runge-Kutta Exponential Time Differencing Scheme for Incorporating Graphene Dispersion in the FDTD Simulations

Runge-Kutta Exponential Time Differencing Scheme for Incorporating Graphene Dispersion in the FDTD Simulations

Computational study of graphene‐gated graphene‐Si thin film Schottky junction field‐effect solar cell by finite difference method

Wave fronts and packets in 1D models of different meta-materials: Graphene, left-handed media and transmission line

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