Computationally Efficient CN-PML for EM Simulations

Jiang, Hao; Wu, Li; Zhang, Xin Ge; Wang, Qiang; Wu, Peiyu; Cui, Tie Jun

doi:10.1109/tmtt.2019.2946160

Cited by 26 publications

(27 citation statements)

References 34 publications

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“…The maximum value of the relative reflection error of FDTD-HO-PML, CNDG-HO-PML CFLN = 1, 10 and 20 are − 109 dB, − 96 dB and − 81 dB, respectively. Although the absorbing performance decreases 21 dB when CFLN = 20, the proposed scheme can still be employed in the practical engineering (usually below − 40 dB) 29 . The computational efficiency, memory consumption and time reduction are shown in Table 1.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Extraordinary optical transmission through periodic Drude-like graphene sheets using FDTD algorithms and its unconditionally stable approximate Crank–Nicolson implementation

Sun

Chi

et al. 2020

Sci Rep

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Based upon the approximate Crank–Nicolson (CN) finite-difference time-domain method implementation, the unconditionally stable algorithm is proposed to investigate the wave propagation and transmission through extremely thin graphene layers. More precisely, by incorporating the CN Douglas–Gunn algorithm, the piecewise linear recursive convolution method and the auxiliary differential equation method, the analytical model is proposed for Drude-like graphene model. To obtain the solution of the governing equations, the perfectly matched layer and the periodic boundary condition are applied to the graphene structure with two dimensional nano-materials. Numerical examples are carried out for further investigation. During the simulation, the influences of the parameters such as the grating slit and its thickness on the wave transmission are investigated and discussed. The result shows that not only the graphene grating has high transmission performance but also the proposed methods have considerable performance and accuracy.

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Section: Numerical Results and Discussionmentioning

confidence: 99%

Extraordinary optical transmission through periodic Drude-like graphene sheets using FDTD algorithms and its unconditionally stable approximate Crank–Nicolson implementation

Sun

Chi

et al. 2020

Sci Rep

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“…Such condition can still meet the requirement of practical engineering (usually with MRRE lower than −40 dB). [ 27 ] The late‐time reflections can be decreased significantly by introducing the higher order concept into PML formulation. Furthermore, CPU time decreases by 25.3%.…”

Section: Numerical Simulation and Discussionmentioning

confidence: 99%

Computationally Efficient Implicit ADI Theory and Its Open Region Problems for Anisotropic Gyrotropic Plasma Simulations

Xie

Jiang

et al. 2020

Advcd Theory and Sims

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With its unique anisotropic characteristic, gyrotropic plasma is extensively employed in a series of applications. As it is hard to obtain the electric behavior of anisotropic gyrotropic plasma directly, numerical simulation is regarded as one of the most important ways on the investigation. Based upon higher order formulation and an alternating‐direction‐implicit (ADI) procedure, the unconditionally stable ADI perfectly matched layer (PML) is proposed in finite‐difference time‐domain lattice to solving the open region problems for anisotropic gyrotropic plasma. To decouple the updated equations in the gyrotropic plasma regions, approximate decoupling theory is introduced during the implementations. The proposed implementation takes advantages of the higher order formulation, ADI procedure, approximate decoupling theory, and PML implementation in terms of considerable absorption, efficiency, and accuracy in open region problems. Numerical examples are carried out for the demonstration of effectiveness both in theory and experimentally. Through the results, it can be concluded that the proposed implementation is effective and accurate for terminating anisotropic gyrotropic plasma in open region problems when time step surpasses far beyond the Courant–Friedrich–Levy condition.

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“…The absorbing performance of the ETD-PML is the worst. Although the absorbing performance of the ETD-PML is inferior among these implementations, it can be still employed in practical engineering (usually below -40 dB) [17]. It can be observed that the proposed scheme has advantages in terms of computational efficiency, computational time, occupied memory, MRRE and time reduction of the proposed implementations are shown in Table 3.…”

Section: Fig 1 Sketch Of the Pec Sphere Model In The Computational Dmentioning

confidence: 99%

Exponential time differencing based efficient SC-PML for RCS simulation

Niu

Xie

Jiang

et al. 2020

J. of Syst. Eng. Electron.

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To efficiently simulate and calculate the radar cross section (RCS) related electromagnetic problems by employing the finite-difference time-domain (FDTD) algorithm, an efficient stretched coordinate perfectly matched layer (ESC-PML) based upon the exponential time differencing (ETD) method is proposed. The proposed implementation can not only reduce the number of auxiliary variables in the SC-PML regions but also maintain the ability of the original SC-PML in terms of the absorbing performance. Compared with the other existed algorithms, the ETD-FDTD method shows the least memory consumption resulting in the computational efficiency. The effectiveness and efficiency of the proposed ESC-PML scheme is verified through the RCS relevant problems including the perfect E conductor (PEC) sphere model and the patch antenna model. The results indicate that the proposed scheme has the advantages of the ETD-FDTD method and ESC-PML scheme in terms of high computational efficiency and considerable computational accuracy.

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Computationally Efficient CN-PML for EM Simulations

Cited by 26 publications

References 34 publications

Extraordinary optical transmission through periodic Drude-like graphene sheets using FDTD algorithms and its unconditionally stable approximate Crank–Nicolson implementation

Extraordinary optical transmission through periodic Drude-like graphene sheets using FDTD algorithms and its unconditionally stable approximate Crank–Nicolson implementation

Computationally Efficient Implicit ADI Theory and Its Open Region Problems for Anisotropic Gyrotropic Plasma Simulations

Exponential time differencing based efficient SC-PML for RCS simulation

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