One-Step Leapfrog Adi-FDTD Method for Lossy Media and Its Stability Analysis

Gao, Jian-Yun; Zheng, Hongxing

doi:10.2528/pierl12110213

Cited by 10 publications

(8 citation statements)

References 12 publications

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“…It is seen that the result obtained with the proposed method with CFLN = 1 agrees well with that of FDTD; the errors increase as CFLN becomes larger; even for CFLN = 10.1, the numerical errors are acceptable. Figure 3 provides the recorded E y versus time computed by original HIE-FDTD method [10], leapfrog ADI-FDTD method [5], and proposed HIE-FDTD method.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…To improve its efficiency, one-step leapfrog ADI-FDTD method was developed based on the conventional ADI-FDTD method where the mid time step calculations are removed [3]. Further the leapfrog ADI-FDTD method was extended to model lossy and other complex media [4][5][6]. However, the leapfrog ADI-FDTD method needs to solve six implicit equations in one time step which is very time consuming.…”

Section: Introductionmentioning

confidence: 99%

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One-Step Leapfrog Hie-FDTD Method for Lossy Media

Gao¹,

Wang²,

Zheng³

2015

PIER Letters

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The one-step leapfrog hybrid implicit-explicit finite-difference time-domain (HIE-FDTD) method for lossy media is presented. By adopting the Crank-Nicolson and Peaceman-Rachford schemes, the derived method involves calculations of the lossy terms at two different time steps. Different from the original HIE-FDTD method, the proposed method can also be considered as a second order perturbation of the conventional FDTD method. To verify the effectiveness of the proposed method, numerical experiments are performed by using different FDTD methods. It is shown that the proposed method can be more efficient than the conventional HIE-FDTD method with almost the same accuracy.

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Section: Numerical Results and Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

One-Step Leapfrog Hie-FDTD Method for Lossy Media

Gao¹,

Wang²,

Zheng³

2015

PIER Letters

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“…In fact, the CPML equations for the other field components can be obtained in a similar manner. According to the definition in (10) and (11), one can write the CPML equations of the conventional LOD-BOR-FDTD algorithm in the following form:…”

Section: Cpml Implementation For the Proposed Algorithmmentioning

confidence: 99%

“…In the conventional ADI-BOR-FDTD and LOD-BOR-FDTD algorithms, the equations for one full time step are split into two subtime steps; as a result, their computational expenditures are increased [3,4]. Recently, the one-step leapfrog ADI-FDTD algorithm which eliminates the midtime step successfully has been proposed and developed [6][7][8][9][10][11]. It makes the simulation with the ADI-FDTD algorithm more efficient.…”

Section: Introductionmentioning

confidence: 99%

One-Step Leapfrog LOD-BOR-FDTD Algorithm with CPML Implementation

Wang

Yang

Bin

et al. 2016

International Journal of Antennas and Propagation

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An unconditionally stable one-step leapfrog locally one-dimensional finite-difference time-domain (LOD-FDTD) algorithm towards body of revolution (BOR) is presented. The equations of the proposed algorithm are obtained by the algebraic manipulation of those used in the conventional LOD-BOR-FDTD algorithm. The equations forz-direction electric and magnetic fields in the proposed algorithm should be treated specially. The new algorithm obtains a higher computational efficiency while preserving the properties of the conventional LOD-BOR-FDTD algorithm. Moreover, the convolutional perfectly matched layer (CPML) is introduced into the one-step leapfrog LOD-BOR-FDTD algorithm. The equation of the one-step leapfrog CPML is concise. Numerical results show that its reflection error is small. It can be concluded that the similar CPML scheme can also be easily applied to the one-step leapfrog LOD-FDTD algorithm in the Cartesian coordinate system.

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“…The finite-difference-time-domain (FDTD) method and its enhanced methods [1][2][3][4][5][6][7][8] are widely used in modeling electromagnetic problems due to their simpleness in updating equations and easiness in numerical implementation [9][10][11][12][13][14]. Constrained by the Courant-Friedrichs-Lewy (CFL) condition, however, its maximum time step is limited by the minimum cell size, which seriously affects its computational efficiency when fine meshes are required in the object under analysis [15].…”

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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One-Step Leapfrog Adi-FDTD Method for Lossy Media and Its Stability Analysis

Cited by 10 publications

References 12 publications

One-Step Leapfrog Hie-FDTD Method for Lossy Media

One-Step Leapfrog Hie-FDTD Method for Lossy Media

One-Step Leapfrog LOD-BOR-FDTD Algorithm with CPML Implementation

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

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