Novel Adaptive Steady-State Criteria for Finite-Difference Time-Domain Method

You, Jian Wei; Tan, Shu Run; Cui, Tie Jun

doi:10.1109/tmtt.2014.2365456

Cited by 9 publications

(4 citation statements)

References 15 publications

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“…where ∆t is the time step, ε is the electric permittivity, µ is the magnetic permeability, σ e is the electric conductivity, σ m is the equivalent magnetic loss. Based on the formalism described above, an FDTD iteration is performed by repeating the following three steps until a preset convergence criterion is satisfied [55]: In Step 1, using the spatial distribution of the fields H and E at the time steps n − 1 2 and n, respectively, one updates the H field at the time step n+ 1 2 via Eq. ( 2).…”

Section: Methodsmentioning

confidence: 99%

Analysis of the Interaction Between Classical and Quantum Plasmons via FDTD–TDDFT Method

You

Panoiu

2019

IEEE J. Multiscale Multiphys. Comput. Tech.

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A powerful hybrid FDTD-TDDFT method is used to study the interaction between classical plasmons of a gold bowtie nanoantenna and quantum plasmons of graphene nanoflakes (GNFs) placed in the narrow gap of the nanoantenna. Due to the hot-spot plasmon of the bowtie nanoantenna, the localfield intensity in the gap increases significantly, so that the optical response of the GNF is dramatically enhanced. To study this interaction between classical and quantum plasmons, we decompose this multiscale and multiphysics system into two computational regions, a classical and a quantum one. In the quantum region, the quantum plasmons of the GNF are studied using the TDDFT method, whereas the FDTD method is used to investigate the classical plasmons of the bowtie nanoantenna. Our analysis shows that in this hybrid system the quantum plasmon response of a molecular-scale GNF can be enhanced by more than two orders of magnitude, when the frequencies of the quantum and classical plasmons are the same. This finding can be particularly useful for applications to molecular sensors and quantum optics.

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Section: Methodsmentioning

confidence: 99%

Analysis of the Interaction Between Classical and Quantum Plasmons via FDTD–TDDFT Method

You

Panoiu

2019

IEEE J. Multiscale Multiphys. Comput. Tech.

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“…Step 2 , calculate J n+1 m in (13) by using E n+1 obtained at Step 1 ; Step 3 , let n = n + 1 then repeat Step 1 and Step 2 until the energy in the entire computational region converges 42 .…”

Section: Model Dispersion Coefficientsmentioning

confidence: 99%

Computational analysis of dispersive and nonlinear 2D materials by using a GS-FDTD method

et al. 2018

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In this paper, we propose a novel numerical method for modeling nanostructures containing dispersive and nonlinear two-dimensional (2D) materials, by incorporating a nonlinear generalized source (GS) into the finite-difference time-domain (FDTD) method. Starting from the expressions of nonlinear currents characterizing nonlinear processes in 2D materials, such as second-and thirdharmonic generation, we prove that the nonlinear response of such nanostructures can be rigorously determined using two linear simulations. In the first simulation, one computes the linear response of the system upon its excitation by a pulsed incoming wave, whereas in the second one the system is excited by a nonlinear generalized source, which is determined by the linear near-field calculated in the first linear simulation. This new method is particularly suitable for the analysis of dispersive and nonlinear 2D materials, such as graphene and transition-metal dichalcogenides, chiefly because, unlike the case of most alternative approaches, it does not require the thickness of the 2D material. In order to investigate the accuracy of the proposed GS-FDTD method and illustrate its versatility, the linear and nonlinear response of graphene gratings have been calculated and compared to results obtained using alternative methods. Importantly, the proposed GS-FDTD can be extended to 3D bulk nonlinearities, rendering it a powerful tool for the design and analysis of more complicated nanodevices.

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“…In our simulations, the chemical potential of graphene is 0.6 eV, the relaxation time is 0.25 ps, and the temperature is 300 K. The width of the top graphene grating (W 2 ) is the quantity we optimized to achieve a so-called double plasmon resonance [5] at the fundamental frequency (FF) ω0. To model the linear and nonlinear optical response of graphene gratings, we used an in-house developed numerical method implementing a combination of the generalized-source (GS) algorithm and finitedifferent time-domain method (FDTD) [7], [8].…”

Section: Linear Optical Response Of Dual Graphene Gratingsmentioning

confidence: 99%

Tunable enhancement of second-harmonic generation in dual graphene optical gratings

You

Panoiu

2017

2017 11th International Congress on Engineered Materials Platforms for Novel Wave Phenomena (Metamaterials)

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Novel Adaptive Steady-State Criteria for Finite-Difference Time-Domain Method

Cited by 9 publications

References 15 publications

Analysis of the Interaction Between Classical and Quantum Plasmons via FDTD–TDDFT Method

Analysis of the Interaction Between Classical and Quantum Plasmons via FDTD–TDDFT Method

Computational analysis of dispersive and nonlinear 2D materials by using a GS-FDTD method

Tunable enhancement of second-harmonic generation in dual graphene optical gratings

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