On Numerical Artifacts of the Complex Envelope ADI-FDTD Method
We examine two spurious numerical artifacts of the complex envelope (CE) alternating-direction-implicit finite-difference time-domain (ADI-FDTD) method, viz. spurious charges and anomalous wave propagation (modes with positive phase velocity and negative group velocity). These artifacts are also pre...
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| Veröffentlicht in: | IEEE transactions on antennas and propagation 2009-02, Vol.57 (2), p.491-498 |
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| container_title | IEEE transactions on antennas and propagation |
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| creator | Kyung-Young Jung Teixeira, F.L. Garcia, S.G. Lee, R. |
| description | We examine two spurious numerical artifacts of the complex envelope (CE) alternating-direction-implicit finite-difference time-domain (ADI-FDTD) method, viz. spurious charges and anomalous wave propagation (modes with positive phase velocity and negative group velocity). These artifacts are also present in the conventional ADI-FDTD; however, the spurious charges in CE-ADI-FDTD have a fundamental distinction from those of ADI-FDTD: they are static in ADI-FDTD and implicitly time-harmonic in CE-ADI-FDTD. Spurious charges are particularly detrimental to CE-ADI-FDTD simulations because they produce secondary radiation. We also show that spurious charges can be reduced by a fixed-point iterative correction in CE-ADI-FDTD. |
| doi_str_mv | 10.1109/TAP.2008.2011389 |
| format | Article |
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These artifacts are also present in the conventional ADI-FDTD; however, the spurious charges in CE-ADI-FDTD have a fundamental distinction from those of ADI-FDTD: they are static in ADI-FDTD and implicitly time-harmonic in CE-ADI-FDTD. Spurious charges are particularly detrimental to CE-ADI-FDTD simulations because they produce secondary radiation. 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These artifacts are also present in the conventional ADI-FDTD; however, the spurious charges in CE-ADI-FDTD have a fundamental distinction from those of ADI-FDTD: they are static in ADI-FDTD and implicitly time-harmonic in CE-ADI-FDTD. Spurious charges are particularly detrimental to CE-ADI-FDTD simulations because they produce secondary radiation. 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| subjects | Alternating-direction-implicit finite-difference time-domain (ADI-FDTD) Antennas Applied classical electromagnetism complex envelope (CE) Dispersion divergence Electromagnetic fields Electromagnetic wave propagation, radiowave propagation Electromagnetism electron and ion optics Envelopes Equations Exact sciences and technology Finite difference method Finite difference methods Frequency Fundamental areas of phenomenology (including applications) Government Laboratories Mathematical analysis Mathematical models Physics Simulation spurious mode Stability criteria Time domain analysis Wave propagation |
| title | On Numerical Artifacts of the Complex Envelope ADI-FDTD Method |
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