The CPML for Hybrid Implicit-Explicit FDTD Method Based on Auxiliary Differential Equation

Mao, Yun Fei; Huang, Pu Hua; Guo, Li Bing

doi:10.4028/www.scientific.net/amr.989-994.1869

Cited by 5 publications

(1 citation statement)

References 13 publications

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“…To obtain the better absorption performance, the convolutional PML (CPML) was applied to 2‐D HIE‐FDTD, and a detailed analysis was presented. To solve the practical 3‐D electromagnetic problems better, the application of CPML in 3‐D HIE‐FDTD was realized based on auxiliary differential equation . The maximum relative error is less than −60 dB.…”

Section: Introductionmentioning

confidence: 99%

Implementation of convolutional perfectly matched layer for three‐dimensional hybrid implicit‐explicit finite‐difference time‐domain method

Zhang

Zheng

Wang

et al. 2019

Int J RF Microw Comput Aided Eng

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The hybrid implicit-explicit (HIE) finite-difference time-domain (FDTD) method with the convolutional perfectly matched layer (CPML) is extended to a full threedimensional scheme in this article. To demonstrate the application of the CPML better, the entire derivation process is presented, in which the fine scale structure is changed from y-direction to z-direction of the propagation innovatively. The numerical examples are adopted to verify the efficiency and accuracy of the proposed method. Numerical results show that the HIE-FDTD with CPML truncation has the similar relative reflection error with the FDTD with CPML method, but it is much better than the methods with Mur absorbing boundary. Although Courant-Friedrich-Levy number climbs to 8, the maximum relative error of the proposed HIE-CPML remains more below than −71 dB, and CPU time is nearly 72.1% less than the FDTD-CPML. As an example, a low-pass filter is simulated by using the FDTD-CPML and HIE-CPML methods. The curves obtained are highly fitted between two methods; the maximum errors are lower than −79 dB. Furthermore, the CPU time saved much more, accounting for only 26.8% of the FDTD-CPML method while the same example simulated. K E Y W O R D Sabsorbing boundary, convolution, perfectly matched layer, hybrid implicit-explicit method, finite-difference time-domain.

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Section: Introductionmentioning

confidence: 99%

Implementation of convolutional perfectly matched layer for three‐dimensional hybrid implicit‐explicit finite‐difference time‐domain method

Zhang

Zheng

Wang

et al. 2019

Int J RF Microw Comput Aided Eng

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Single field HIE FDTD solver with nonuniform grid stratagem for more fine structure

Liang

Wang

et al. 2022

Int J RF Mic Comp-Aid Eng

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To improve the efficiency of complex structure simulation, the local nonuniform griding technique is investigated in the finite difference time domain (FDTD) solver, where the single field (SF) and hybrid implicit explicit (HIE) algorithms have been introduced. Some structures with fine details in one direction are simulated by using the proposed stratagem. Typically, the magnetic field for obtaining the sampled currents and far-field data is selectively updated to save memory and CPU time. Reflection error from the truncating boundary is decreased compared to the conventional FDTD method, as well as the stability is validated. Moreover, the original SF-HIE-FDTD updating procedures is modified to improve multithread computing efficiency. A layered rectangular dielectric resonator antenna and a microstrip bandpass filter models have been simulated. Results are in very good agreement with those from the conventional FDTD solver and from the commercial software, but up to 58.14% computation time is saved. Our proposed method is significant for the simulation of microwave circuit and antenna with fine structure, especially, the use of the nonuniform grid. K E Y W O R D Sfinite-difference time-domain (FDTD) method, hybrid implicit explicit (HIE), nonuniform grid, single field (SF)

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A review of hybrid implicit explicit finite difference time domain method

Chen

2018

Journal of Computational Physics

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The CPML for Hybrid Implicit-Explicit FDTD Method Based on Auxiliary Differential Equation

Cited by 5 publications

References 13 publications

Implementation of convolutional perfectly matched layer for three‐dimensional hybrid implicit‐explicit finite‐difference time‐domain method

Implementation of convolutional perfectly matched layer for three‐dimensional hybrid implicit‐explicit finite‐difference time‐domain method

Single field HIE FDTD solver with nonuniform grid stratagem for more fine structure

A review of hybrid implicit explicit finite difference time domain method

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