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A new hybrid implicit-explicit FDTD method for local subgridding in multiscale 2-D TE scattering problems

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Abstract
The conventional finite-difference time-domain (FDTD) method with staggered Yee scheme does not easily allow including thin material layers, especially so if these layers are highly conductive. This paper proposes a novel subgridding technique for 2-D problems, based on a hybrid implicit-explicit scheme, which efficiently copes with this problem. In the subgrid, the new method collocates field components such that the thin layer boundaries are defined unambiguously. Moreover, aspect ratios of more than a million do not impair the stability of the method and allow for very accurate predictions of the skin effect. The new method retains the Courant limit of the coarse Yee grid and is easily incorporated into existing FDTD codes. A number of illustrative examples, including scattering by a metal grating, demonstrate the accuracy and stability of the new method.
Keywords
TIME-DOMAIN METHOD, IBCN, MAXWELLS EQUATIONS, SCHEME, STABILITY, ALGORITHM, REFINEMENT, LAYERS, MEDIA, Finite-difference time-domain (FDTD), hybrid implicit-explicit (HIE), multiscale, scattering, subgridding

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Citation

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MLA
Van Londersele, Arne, et al. “A New Hybrid Implicit-Explicit FDTD Method for Local Subgridding in Multiscale 2-D TE Scattering Problems.” IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, vol. 64, no. 8, 2016, pp. 3509–20, doi:10.1109/TAP.2016.2576477.
APA
Van Londersele, A., De Zutter, D., & Vande Ginste, D. (2016). A new hybrid implicit-explicit FDTD method for local subgridding in multiscale 2-D TE scattering problems. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 64(8), 3509–3520. https://doi.org/10.1109/TAP.2016.2576477
Chicago author-date
Van Londersele, Arne, Daniël De Zutter, and Dries Vande Ginste. 2016. “A New Hybrid Implicit-Explicit FDTD Method for Local Subgridding in Multiscale 2-D TE Scattering Problems.” IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION 64 (8): 3509–20. https://doi.org/10.1109/TAP.2016.2576477.
Chicago author-date (all authors)
Van Londersele, Arne, Daniël De Zutter, and Dries Vande Ginste. 2016. “A New Hybrid Implicit-Explicit FDTD Method for Local Subgridding in Multiscale 2-D TE Scattering Problems.” IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION 64 (8): 3509–3520. doi:10.1109/TAP.2016.2576477.
Vancouver
1.
Van Londersele A, De Zutter D, Vande Ginste D. A new hybrid implicit-explicit FDTD method for local subgridding in multiscale 2-D TE scattering problems. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION. 2016;64(8):3509–20.
IEEE
[1]
A. Van Londersele, D. De Zutter, and D. Vande Ginste, “A new hybrid implicit-explicit FDTD method for local subgridding in multiscale 2-D TE scattering problems,” IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, vol. 64, no. 8, pp. 3509–3520, 2016.
@article{8124626,
  abstract     = {{The conventional finite-difference time-domain (FDTD) method with staggered Yee scheme does not easily allow including thin material layers, especially so if these layers are highly conductive. This paper proposes a novel subgridding technique for 2-D problems, based on a hybrid implicit-explicit scheme, which efficiently copes with this problem. In the subgrid, the new method collocates field components such that the thin layer boundaries are defined unambiguously. Moreover, aspect ratios of more than a million do not impair the stability of the method and allow for very accurate predictions of the skin effect. The new method retains the Courant limit of the coarse Yee grid and is easily incorporated into existing FDTD codes. A number of illustrative examples, including scattering by a metal grating, demonstrate the accuracy and stability of the new method.}},
  author       = {{Van Londersele, Arne and De Zutter, Daniël and Vande Ginste, Dries}},
  issn         = {{0018-926X}},
  journal      = {{IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION}},
  keywords     = {{TIME-DOMAIN METHOD,IBCN,MAXWELLS EQUATIONS,SCHEME,STABILITY,ALGORITHM,REFINEMENT,LAYERS,MEDIA,Finite-difference time-domain (FDTD),hybrid implicit-explicit (HIE),multiscale,scattering,subgridding}},
  language     = {{eng}},
  number       = {{8}},
  pages        = {{3509--3520}},
  title        = {{A new hybrid implicit-explicit FDTD method for local subgridding in multiscale 2-D TE scattering problems}},
  url          = {{http://doi.org/10.1109/TAP.2016.2576477}},
  volume       = {{64}},
  year         = {{2016}},
}

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