Unconditionally Stable Higher Order CNAD-PML for Left-Handed Materials

Li, Jianxiong; Wu, Peiyu

doi:10.1109/tap.2019.2927761

Cited by 16 publications

(11 citation statements)

References 15 publications

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“…48 Based on the CN procedure, several implementations are developed. [49][50][51] However, they cannot be directly extended to three-dimensions. 52 Recently, higher order convolutional PML is carried out for unmagnetized simulation.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Bandpass signal formulation with hybrid implicit‐explicit procedure in open regions for unmagnetized plasma

Wang²,

Xie

et al. 2021

Int J RF Microw Comput Aided Eng

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The finite-difference time-domain (FDTD) algorithm shows disadvantages in bandpass signal simulation with fine structures along a single direction. The reason is that FDTD algorithm exists the Courant-Friedrichs-Levy (CFL) condition and bases on the lowpass-sampling theorem. Based on the numerical implementation, hybrid implicit-explicit procedure and complex envelope method are introduced. As a full-wave simulation method, higher order concept is incorporated into perfectly matched layer (PML) formulation for improving absorption at boundaries of the lattice. For unmagnetized plasma simulation, piecewise linear recursive convolution method is modified according to the bandpass signal. Through numerical example, the proposed algorithm shows considerable performance during the entire simulation which can be concluded from several aspects: (1) It takes advantages of higher order concept which shows enhanced absorption. ( 2) The proposed algorithm can overcome the CFL condition and maintain stability with the increment of time steps. (3) It shows considerable efficiency and accuracy in simulating structures with fine details along a single direction. (4) It can alleviate time increment problem among implicit algorithms with lower CFL numbers.

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Section: Numerical Results and Discussionmentioning

confidence: 99%

Bandpass signal formulation with hybrid implicit‐explicit procedure in open regions for unmagnetized plasma

Wang²,

Xie

et al. 2021

Int J RF Microw Comput Aided Eng

Self Cite

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“…Until now, several published works which combine the approximate CN algorithms and higher order PML are mainly focus on the 2-D situations [29][30]. Although CNAFS-PML and CNDS-PML schemes are proposed [19][20], they are implemented by CFS-PML according to the lowpass-limited sampling theorem.…”

Section: Introductionmentioning

confidence: 99%

Complex Envelope Approximate Crank-Nicolson Method and Its Open Boundary Implementation for Bandpass Problem

Dong

et al. 2021

IEEE Access

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“…The most prominent disadvantage is the significant increment of auxiliary variables and coefficients resulting in decrement of efficiency [22][23][24]. Thus, unconditionally stable algorithms are introduced into the higher order PML implementations [25][26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%

Efficient Enhanced Hybrid Implicit-Explicit Procedure to Gyrotropic Plasma in Open Regions With Fine Geometry Details Along Single Direction

Han²,

Xie

et al. 2021

IEEE Access

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For the simulation of gyrotropic plasma structure with fine geometry details along a single direction in open regions, the hybrid implicit-explicit (HIE) algorithm with improved absorbing boundary condition is modified based on the finite-difference time-domain (FDTD) algorithm. More precisely, incorporating the perfectly matched layer (PML) formulation, the higher order concept and the HIE procedure, the proposed implementation shows its significant superiority in terms of efficiency, accuracy and absorption. To simulate the unique anisotropic characteristic inside the gyrotropic plasma regions, the bilinear transform (BT) method is employed during the calculation. The effectiveness can be further demonstrated theoretically and numerically. Through the results, it can be concluded that the proposed scheme exhibits remarkable behaviors in the gyrotropic plasma open region problems. It can not only obtain considerable accuracy compared with the theoretical solution but also receive better absorption and efficiency compared with the published work. In addition, the results also indicate that the proposed scheme can maintain the stability of the algorithm with dissatisfaction of the Courant-Friedrichs-Levy condition between time step and mesh size.INDEX TERMS Anisotropic gyrotropic plasma, Bilinear transform (BT), Finite-difference time-domain (FDTD), Hybrid implicit-explicit (HIE), Perfectly matched layer (PML).

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Unconditionally Stable Higher Order CNAD-PML for Left-Handed Materials

Cited by 16 publications

References 15 publications

Bandpass signal formulation with hybrid implicit‐explicit procedure in open regions for unmagnetized plasma

Bandpass signal formulation with hybrid implicit‐explicit procedure in open regions for unmagnetized plasma

Complex Envelope Approximate Crank-Nicolson Method and Its Open Boundary Implementation for Bandpass Problem

Efficient Enhanced Hybrid Implicit-Explicit Procedure to Gyrotropic Plasma in Open Regions With Fine Geometry Details Along Single Direction

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