The Unconditionally Stable Associated Hermite FDTD Method for 3-D Periodic Structure Analysis

Zhu, Shuai; Huang, Zheng-Yu; Li, Chao; Jiang, Feng; Shi, Lihua

doi:10.1109/lawp.2022.3186785

Cited by 3 publications

(2 citation statements)

References 16 publications

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“…The one-step leapfrog ADI-FDTD method is more efficient, aligning with conventional FDTD in field quantity updates. [13][14][15][16][17][18] It calculates electric and magnetic fields at full-time steps with half-step intervals in time and space, optimizing fine-grid area field updates and reducing computation time.…”

Section: Introductionmentioning

confidence: 99%

“…While the first two methods use a time partitioning scheme, breaking down the time march into substeps, they result in increased computational expenditure compared to conventional FDTD. The one‐step leapfrog ADI‐FDTD method is more efficient, aligning with conventional FDTD in field quantity updates 13–18 . It calculates electric and magnetic fields at full‐time steps with half‐step intervals in time and space, optimizing fine‐grid area field updates and reducing computation time.…”

Section: Introductionmentioning

confidence: 99%

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A hybrid one‐step leapfrog ADI‐FDTD and subgridding approach based on a heterogeneous computing platform

Liu,

Feng,

et al. 2024

Micro & Optical Tech Letters

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The finite‐difference time‐domain (FDTD) method often demands numerous grids for fine structure analysis, leading to high computational costs. To address this challenge, a subgridding scheme emerges as an attractive solution. However, the explicit nature of the FDTD subgrid method, constrained by Courant–Friedrichs–Lewy (CFL) conditions, can lead to inefficiencies with complex structures. In response, the leapfrog alternating‐direction implicit (ADI)‐FDTD method, exhibiting unconditional stability, has been developed to overcome CFL limitations. This paper presents a hybrid approach merging the one‐step leapfrog ADI‐FDTD method with a subgridding scheme using heterogeneous computing. By optimizing hardware usage and leveraging different device performances, this approach maximizes throughput in heterogeneous systems. Central processing units and graphics processing units handle workloads to minimize system latency. Simulation results on heterogeneous platforms demonstrate superior efficiency over single processor setups while maintaining simulation accuracy, especially in analyzing electromagnetic scattering from multiscale structures.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A hybrid one‐step leapfrog ADI‐FDTD and subgridding approach based on a heterogeneous computing platform

Liu,

Feng,

et al. 2024

Micro & Optical Tech Letters

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One‐Step Leapfrog 3D Split‐Field FDTD Method for Periodic Structures at Oblique Incidence

Zhang,

Chen,

Mou

et al. 2024

Int J Numerical Modelling

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This article introduces a one‐step leapfrog three‐dimensional (3D) split‐field finite‐difference time‐domain (SF‐FDTD) method designed for analyzing periodic structures under oblique incidence, aiming to improve computational efficiency. Initially, it introduces new variables to substitute the field components postsplitting. After that, it applies time‐centered approximate difference method to precisely adjust the time step for each iteration. It eliminates the need for empirical coefficients when performing calculations with lossy materials. Finally, it derives the implementation of the convolutional perfectly matched layer (CPML) for the proposed method. The proposed method is both easier to implement and more resource‐efficient, significantly cutting down CPU usage and memory consumption. Numerical results confirm its improved efficiency.

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The Associated Hermite Orthogonal Expansion in Time-Domain (AH-OETD) Method: A New Tool for Solvig Multi-scale and Multi-physical Fields

Jiang,

Huang,

Duan

et al. 2024

2024 IEEE International Conference on Computational Electromagnetics (ICCEM)

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The Unconditionally Stable Associated Hermite FDTD Method for 3-D Periodic Structure Analysis

Cited by 3 publications

References 16 publications

A hybrid one‐step leapfrog ADI‐FDTD and subgridding approach based on a heterogeneous computing platform

A hybrid one‐step leapfrog ADI‐FDTD and subgridding approach based on a heterogeneous computing platform

One‐Step Leapfrog 3D Split‐Field FDTD Method for Periodic Structures at Oblique Incidence

The Associated Hermite Orthogonal Expansion in Time-Domain (AH-OETD) Method: A New Tool for Solvig Multi-scale and Multi-physical Fields

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