A Novel WCS-FDTD Method With Weakly Conditional Stability

Chen, Juan; Wang, Jianguo

doi:10.1109/temc.2007.897130

Cited by 82 publications

(65 citation statements)

References 9 publications

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“…It can be seen that the magnitude of the amplification factor |ξ| is unity and, thus, the CFL stability condition of the proposed method is ∆t ≤ 2∆x/c, which is more relaxed than that of the existing WCS-FDTD method (∆t ≤ ∆x/c) [20]. As we know, the CFL stability condition of the conventional FDTD method is ∆t ≤ 1 c 1/∆x 2 + 1/∆y 2 + 1/∆z 2 [22].…”

Section: Numerical Stability Analysismentioning

confidence: 84%

“…By adopting the proposed technology, the field advancement only needs to solve four implicit equations, and the time step size will no longer be bounded by the fine grid cell sizes, which is only determined by the large space discretisation. Numerical stability analysis demonstrates that the CFL stability condition of the proposed algorithm is more relaxed than those of the existing WCS-FDTD methods [19,20], which means the proposed method is more efficient due to the larger time step size can be chose. Compared with the ADI-FDTD scheme, the numerical phase velocity error of the proposed algorithm is reduced, especially for large time-step size.…”

Section: Introductionmentioning

confidence: 99%

“…In practice, some electromagnetic structures, such as patch antennas and shielding enclosure with thin slots, only have fine structures in one or two directions where fine grids are needed. For investigating the electromagnetic performances of those structures, some WCS-FDTD methods have been presented [19,20].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A Novel 3-D Weakly Conditionally Stable FDTD Algorithm

Wang¹,

Zhou²,

Shi³

et al. 2012

PIER

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Abstract-For analyzing the electromagnetic problems with the fine structures in one or two directions, a novel weakly conditionally stable finite-difference time-domain (WCS-FDTD) algorithm is proposed. By dividing the 3-D Maxwell's equations into two parts, and applying the Crank-Nicolson (CN) scheme to each part, a four sub-step implicit procedures can be obtained. Then by adjusting the operational order of four sub-steps, a novel 3-D WCS-FDTD algorithm is derived. The proposed method only needs to solve four implicit equations, and the Courant-Friedrich-Levy (CFL) stability condition of the proposed algorithm is more relaxed and only determined by one space discretisation. In addition, numerical dispersion analysis demonstrates the numerical phase velocity error of the weakly conditionally stable scheme is less than that of the 3-D ADI-FDTD scheme.

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Section: Numerical Stability Analysismentioning

confidence: 84%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Novel 3-D Weakly Conditionally Stable FDTD Algorithm

Wang¹,

Zhou²,

Shi³

et al. 2012

PIER

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show abstract

“…To circumvent this problem, a new weakly conditionally stable FDTD (referred as WCS-FDTD-2 method) has been presented [29].…”

Section: The Wcs-fdtd-2 Methodsmentioning

confidence: 99%

“…To solve the electromagnetic simulation with fine scale dimensions in two directions, the weakly conditionally stable (WCS) FDTD method is developed [28][29][30][31][32]. The time step size in this method is only determined by one space discretization.…”

Section: Introductionmentioning

confidence: 99%

Weakly Conditionally Stable and Unconditionally Stable FDTD Schemes for 3d Maxwell's Equations

Chen¹,

Wang²

2010

PIER B

Self Cite

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Abstract-To overcome the Courant limit on the time step size of the conventional finite-difference time-domain (FDTD) method, some weakly conditionally stable and unconditionally stable FDTD methods have been developed recently. To analyze the relations between these methods theoretically, they are all viewed as approximations of the conventional FDTD scheme in present discussion. The errors between these methods and the conventional FDTD method are presented analytically, and the numerical performances, including computation accuracy, efficiency, and memory requirements, are discussed, by comparing with those of the conventional FDTD method.

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Study on frequency selective characteristics of the microstructure metallic grating in terahertz frequency range based on the hybrid implicit explicit‐pseudospectral time domain method

Chen

Zhang

et al. 2014

Int J Numerical Modelling

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In this paper, a hybrid implicit explicit-pseudospectral time domain method is presented to simulate the microstructure metallic grating. The time step size in this method has no relation with the fine spatial discretization, and the spatial discretization along the electrically large direction only needs two cells per wavelength. The three-dimensional formulas of the method are presented, and the time stability condition of the method is demonstrated. Numerical results show that the memory requirement of the hybrid implicit explicit-pseudospectral time domain method is reduced by 50% compared with the finite difference time domain method and the computation time is almost 1/40 of that of the finite difference time domain method.

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A Novel WCS-FDTD Method With Weakly Conditional Stability

Cited by 82 publications

References 9 publications

A Novel 3-D Weakly Conditionally Stable FDTD Algorithm

A Novel 3-D Weakly Conditionally Stable FDTD Algorithm

Weakly Conditionally Stable and Unconditionally Stable FDTD Schemes for 3d Maxwell's Equations

Study on frequency selective characteristics of the microstructure metallic grating in terahertz frequency range based on the hybrid implicit explicit‐pseudospectral time domain method

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