An Optimized One-Step Leapfrog HIE-FDTD Method With the Artificial Anisotropy Parameters

By introducing the artificial anisotropy (AA) parameters, a 3-D one-step leapfrog hybrid implicit-explicit finite-difference time domain (HIE-FDTD) method is proposed, which can reduce the numerical dispersion error without increasing the computational cost. The formulation of the AA one-step leapfr...

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Veröffentlicht in:IEEE transactions on antennas and propagation 2020-02, Vol.68 (2), p.1198-1203
Hauptverfasser: Kong, Yong-Dan, Zhang, Chu-Bin, Chu, Qing-Xin
Format: Artikel
Sprache:eng
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Zusammenfassung:By introducing the artificial anisotropy (AA) parameters, a 3-D one-step leapfrog hybrid implicit-explicit finite-difference time domain (HIE-FDTD) method is proposed, which can reduce the numerical dispersion error without increasing the computational cost. The formulation of the AA one-step leapfrog HIE-FDTD method is obtained by introducing the relative permittivity and permeability tensors in the original one-step leapfrog HIE-FDTD method. The Courant-Friedrichs-Lewy (CFL) stability condition of the AA one-step leapfrog HIE-FDTD method is close to that of the original one-step leapfrog HIE-FDTD method. In addition, the proposed HIE-FDTD method has lower numerical dispersion error and higher calculation accuracy than that of the one-step leapfrog HIE-FDTD method. Finally, to testify the characteristics of the proposed HIE-FDTD method, numerical simulation experiments are given.
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2019.2940565