Development of split-step FDTD method with higher-order spatial accuracy

Fu, Weiming; Tan, Eng Leong

doi:10.1049/el:20046040

Cited by 94 publications

(72 citation statements)

References 5 publications

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“…For actual simulations, we do not need to perform update (27), (30), (32), (35). As a result, for each time step, one explicit update equation and one implicit update equation (in a tridiagonal linear system) are performed.…”

Section: B Lod-fdtdmentioning

confidence: 99%

“…The coefficients for are same as those in ADI-FDTD, but, for they are same as those in conventional LOD-FDTD. In terms of coefficients for , they are same as those in conventional LOD-FDTD for the second substep, but, for the first substep they are written as follows (58) We note that the above expression can be derived by using matrix operators as follows [20], [27] (59) (60) (61) where and are same, as in (44) and (45). It should be noted that in this work the equivalent Drude currents , , and are involved at a central time instant when updating corresponding field components.…”

Section: Lod-fdtd With Strang Splittingmentioning

confidence: 99%

“…Another unconditionally stable time-domain approach is based on the locally one-dimensional (LOD)-splitting technique [20]- [29], sometimes referred to as split-step technique [20], [21], [27]. This unconditionally stable FDTD technique yields a very simple algorithm, making it attractive for simulations involving frequency-dispersive media.…”

mentioning

confidence: 99%

“…In contrast to the ADI algorithm however, the LOD technique is only first-order accurate in time. This limitation can be circumvented by a modified Strang splitting, as suggested in [20] and [27] at the cost of an increase in the number of arithmetic operations. This latter technique is denoted here as LOD-FDTD with Strang splitting.…”

mentioning

confidence: 99%

See 3 more Smart Citations

A Study on Unconditionally Stable FDTD Methods for the Modeling of Metamaterials

Nascimento¹,

Jung

Borges

et al. 2009

J. Lightwave Technol.

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Section: B Lod-fdtdmentioning

confidence: 99%

Section: Lod-fdtd With Strang Splittingmentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

See 2 more Smart Citations

A Study on Unconditionally Stable FDTD Methods for the Modeling of Metamaterials

Nascimento¹,

Jung

Borges

et al. 2009

J. Lightwave Technol.

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show abstract

“…Meanwhile, the split-step approach [22] and locally-one-dimensional (LOD) FDTD methods [23] were developed, of which the latter can be considered as a special case of the former. Later, high-order split-step FDTD methods in 2-D [24] and 3-D [25,26] were presented. Basing on [23], arbitrary-order 3-D LOD-FDTD approach was presented by Liu et al [27].…”

Section: Introductionmentioning

confidence: 99%

Reduction of Numerical Dispersion of Adi-FDTD Method With Quasi Isotropic Spatial Difference Scheme

Yi-long¹,

Su²,

Liu³

2013

PIER B

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Abstract-In this paper, the difference scheme of the alternatingdirection-implicit finite-difference time-domain (ADI-FDTD) method is replaced by the quasi isotropic (QI) spatial difference scheme to improve its numerical dispersion characteristics. The unconditional stability advantage of QI-ADI-FDTD is analytically proven and numerically verified. The numerical dispersion of the novel method can be dramatically reduced by choosing proper weighting factor. An example is simulated to demonstrate the accuracy and efficiency of the proposed method.

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High‐order accurate FDTD method based on split‐step scheme for solving Maxwell's equations

Chu

Kong

2008

Micro & Optical Tech Letters

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A new split‐step finite difference time domain (SS‐FDTD) method with high‐order accuracy is presented, which is proven to be unconditionally stable and has four substeps. The numerical dispersion error and the numerical anisotropic error of the proposed method are reduced than the alternating direction implicit finite difference time domain method, the conventional SS‐FDTD method and the SS‐FDTD method based on the Strang‐splitting scheme. The proposed method has new splitting forms, which is different from the SS‐FDTD method based on the exponential evolution operator. At each time step, an important aspect is that the proposed method produces 33% reduction of the total number of arithmetic operators than the SS‐FDTD method based on the exponential evolution operator. © 2008 Wiley Periodicals, Inc. Microwave Opt Technol Lett 51: 562–565, 2009; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.24100

show abstract

Development of split-step FDTD method with higher-order spatial accuracy

Cited by 94 publications

References 5 publications

A Study on Unconditionally Stable FDTD Methods for the Modeling of Metamaterials

A Study on Unconditionally Stable FDTD Methods for the Modeling of Metamaterials

Reduction of Numerical Dispersion of Adi-FDTD Method With Quasi Isotropic Spatial Difference Scheme

High‐order accurate FDTD method based on split‐step scheme for solving Maxwell's equations

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