Higher‐Order Approximate CN‐PML Theory for Magnetized Ferrite Simulations

Wu, Peng; Xie, Yongjun; Jiang, Haolin; Niu, Liqiang

doi:10.1002/adts.201900221

Cited by 11 publications

(12 citation statements)

References 22 publications

(32 reference statements)

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“…Such operation results in the decrement of efficiency and increment of accuracy. Thus, compared with the CNAD scheme, CNDG can be regarded as the compromise between the efficiency and accuracy [28].…”

Section: Introductionmentioning

confidence: 99%

Bandpass Unconditionally Stable Ce-Bor-PML Scheme With CNDG Algorithm for Rotational Symmetric Simulation

Wu¹,

Liu²,

Dong³

et al. 2021

PIER M

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Unconditionally stable approximate Crank-Nicolson (CN) perfectly matched layer (PML) implementation is proposed to treat open region problems for a bandpass rotational symmetric structure. To be more specific, this implementation is based upon the CN Douglas-Gunn (DG) procedure and the complex envelope (CE) method in body of revolution (BOR) finite-difference time-domain (FDTD) lattice. The proposed scheme inherits the advantages of the CNDG procedure, CE method, and BOR-FDTD algorithm which can improve the efficiency, enhance the absorption, and maintain the calculation accuracy. The effectiveness which includes accuracy, efficiency, occupied resources, and absorption is illustrated through a numerical example. The numerical results reveal that the proposed scheme provides considerable accuracy, creditable absorption, and outstanding efficiency. Meanwhile, it can also verify that the proposed scheme is stable without the limitation of Courant-Friedrich-Levy (CFL) condition.

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Section: Introductionmentioning

confidence: 99%

Bandpass Unconditionally Stable Ce-Bor-PML Scheme With CNDG Algorithm for Rotational Symmetric Simulation

Wu¹,

Liu²,

Dong³

et al. 2021

PIER M

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“…In order to alleviate such phenomenon, series of approximate CN algorithms are proposed 13,14 . Among them, CN approximate‐decoupling (AD) procedure shows considerable efficiency and accuracy during the whole simulation 15 . Meanwhile, CNAD algorithm has been gradually employed in GPR problems within the rectangular coordinate system 16 .…”

Section: Introductionmentioning

confidence: 99%

Implicit approximate decoupling procedure withCrank–Nicolsonscheme for bandpass symmetric rotationally geophysical problems

Dong

Liu

et al. 2021

Int J RF Mic Comp-Aid Eng

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To efficient simulate symmetric rotationally geophysical problems, implicit Crank–Nicolson (CN) scheme incorporated with approximate decoupling procedure is proposed in the body of revolution (BOR) finite‐difference time‐domain (FDTD) algorithm. For further absorption of large number of low‐frequency waves in bandpass simulation, complex envelope method is incorporated with the perfectly matched layer implementation. To be more specific, the proposed implementation shows advantages in terms of improved efficiency, considerable accuracy, and remarkable absorption. To demonstrate effectiveness and efficiency of the proposed implementation, geophysical numerical examples are carried out in the BOR‐FDTD domain. Through different numerical examples, it can be concluded from simulation results that the proposed implementation can obtain admirable entire performance in bandpass geophysical simulation. In addition, it can also be illustrated that it can keep stable when time step surpasses far beyond the Courant–Friedrichs‐ Levy condition.

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“…To avoid the calculation of the sparse matrices, approximate CN algorithms are introduced including the CN approximate-decoupling (CNAD) and CN Douglas–Gunn (CNDG) algorithms 17 , 18 . It has been testified that the CNDG algorithm shows higher accuracy compared with CNAD algorithm 19 . In addition, from the previously works, CNDG algorithm has been extensively employed merely in TM cases 19 – 21 .…”

Section: Introductionmentioning

confidence: 99%

“…It has been testified that the CNDG algorithm shows higher accuracy compared with CNAD algorithm 19 . In addition, from the previously works, CNDG algorithm has been extensively employed merely in TM cases 19 – 21 . This limits the development of the CNDG algorithm.…”

Section: Introductionmentioning

confidence: 99%

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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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Higher‐Order Approximate CN‐PML Theory for Magnetized Ferrite Simulations

Cited by 11 publications

References 22 publications

Bandpass Unconditionally Stable Ce-Bor-PML Scheme With CNDG Algorithm for Rotational Symmetric Simulation

Bandpass Unconditionally Stable Ce-Bor-PML Scheme With CNDG Algorithm for Rotational Symmetric Simulation

Implicit approximate decoupling procedure withCrank–Nicolsonscheme for bandpass symmetric rotationally geophysical problems

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

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