Compact System-Combined-Based FDTD Implementations With Approximate Crank–Nicolson Scheme and Electromagnetic Scattering

Feng, Naixing; Zhang, Yuxian; Wang, Guo Ping

doi:10.1109/tmtt.2021.3136290

IEEE Trans. Microwave Theory Techn.

2022

DOI: 10.1109/tmtt.2021.3136290

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Compact System-Combined-Based FDTD Implementations With Approximate Crank–Nicolson Scheme and Electromagnetic Scattering

Naixing Feng

Yuxian Zhang

Guo Ping Wang

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Cited by 6 publications

(1 citation statement)

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“…As a crucial tool, the finite-difference time-domain (FDTD) method have been widely developed to solve electromagnetic scattering issues, such as alternating-direction implicit FDTD [36]- [38], Crank-Nicolson FDTD [39]- [40], Crank-Nicolson direct-splitting FDTD [41], backward Euler direct-splitting FDTD (BEDS-FDTD) [42] and et al In this paper, BEDS-FDTD method is used to discretize the partial differential equations (PDEs) obtained after the SOE approximation of Maxwell's equation with a CCM dispersion. Then the SOE-BEDS and Caputo-BEDS method are implemented to numerically simulate the fractional derivative.…”

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confidence: 99%

A Fast and Efficient Method for 3-D Transient Electromagnetic Modeling Considering IP Effect

Zhao,

Sun,

Liu

et al. 2024

IEEE Trans. Geosci. Remote Sensing

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Late-time negative responses in central-loop transient electromagnetic (TEM) data are often linked to the induced polarization (IP) effect. Early methods for modeling the IP effect in TEM data try to avoid calculating the fractional derivative arising from considering the Cole-Cole model by either using the Fourier transform to convert frequency-domain responses to the time domain or approximating the fractional derivative in the time domain directly. The frequency-to-time conversion method suffer from accuracy issues if the number of frequencies calculated is small. The time-domain approximation method also has accuracy issues because of simplified Cole-Cole models. The Caputo series can approximate fractional derivatives accurately if historic electromagnetic (EM) fields are saved.However, the storage of historic EM fields leads to a significant memory consumption. We introduce the sum-of-exponentials (SOE) method to discretize fractional derivatives, which does not need to store field values from previous times except for the first two time-steps. We discretize the resulting partial differential equations from the SOE discretization using a finite-difference time-domain (FDTD) approach. Additionally, we improve computational efficiency by employing the direct-splitting strategy to transform large sparse matrices into smaller diagonally dominant tridiagonal matrices. We validate the accuracy and efficiency of our algorithm by comparing it with the Caputo approximation method using a chargeable half-space model. Furthermore, we compare our results with existing literature data for a chargeable anomaly in a nonchargeable half space. Finally, we analyze the response characteristics of the IP effect using a block-in-half space model.

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confidence: 99%

A Fast and Efficient Method for 3-D Transient Electromagnetic Modeling Considering IP Effect

Zhao,

Sun,

Liu

et al. 2024

IEEE Trans. Geosci. Remote Sensing

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System incorporated direct-splitting algorithm for periodic nonuniform metamaterial design in open regions

Wang²,

Chen

et al. 2022

Optik

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Efficient Physical Truncation of Low-Frequency ATEM Problems in Specific Geometries by Using Random Forest Regression Based PMM Model

Feng,

Zeng,

Wang

et al. 2025

IEEE J. Multiscale Multiphys. Comput. Tech.

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Compact System-Combined-Based FDTD Implementations With Approximate Crank–Nicolson Scheme and Electromagnetic Scattering

Cited by 6 publications

References 31 publications

A Fast and Efficient Method for 3-D Transient Electromagnetic Modeling Considering IP Effect

A Fast and Efficient Method for 3-D Transient Electromagnetic Modeling Considering IP Effect

System incorporated direct-splitting algorithm for periodic nonuniform metamaterial design in open regions

Efficient Physical Truncation of Low-Frequency ATEM Problems in Specific Geometries by Using Random Forest Regression Based PMM Model

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