An FDTD Algorithm for Wave Propagation in Dispersive Media using Higher-Order Schemes

Prokopidis, Konstantinos P.; Kosmidou, Elissavet P.; Tsiboukis, T.D.

doi:10.1163/1569393042955306

Cited by 41 publications

(28 citation statements)

References 15 publications

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“…The goal is to develop a formalism capable of simulating a general class of dispersive media [12]. If necessary, higher order FDTD schemes, such as the one proposed in [15], could be successfully employed in this expansion as well. We consider the whole medium in the computational domain as being described by the Drude material model.…”

Section: Theorymentioning

confidence: 99%

An Extended FDTD Method for the Analysis of Electromagnetic Field Rotators and Cloaking Devices

Silva-Macêdo¹,

Romero²,

Borges³

2008

PIER

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Abstract-This paper presents a dispersive finite difference time domain (FDTD) method suitable for the analysis of electromagnetic field rotator (and cloaking) devices. The method employs a coordinate transformation which accurately accounts for the radial dependence of the permittivity and permeability tensors, with Drude material models applied to the respective diagonal elements. The key aspect of the present formulation is the inclusion of the radial dependence of the plasma frequency, which makes this formalism quite attractive for the modeling of a general class of cloaking and field rotator geometries. Firstly, the method is validated by comparing its results with a previously published simulation of a cloaking device. Then, it is applied for the first time to the analysis of dispersive effects on the performance of field rotators.

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Section: Theorymentioning

confidence: 99%

An Extended FDTD Method for the Analysis of Electromagnetic Field Rotators and Cloaking Devices

Silva-Macêdo¹,

Romero²,

Borges³

2008

PIER

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“…To improve the stability and calculation accuracy for high dielectric dispersive media, the high-order finite difference scheme in space domain and exponential time differencing algorithm in time domain have been used to model electromagnetic wave propagation [4][5][6][7][8][9][10][11]. In [4], a fourth-order accurate in space and second-order accurate in time FDTD scheme are presented to modeling wave propagation in lossy dispersive media. In [5], the stability property and numerical dispersion relation for high-order FDTD scheme with a Debye or Lorentz model are analyzed.…”

Section: Introductionmentioning

confidence: 99%

“…In [5], the stability property and numerical dispersion relation for high-order FDTD scheme with a Debye or Lorentz model are analyzed. In [4] and [5], the high-order scheme is used in space, and numerical dissipation is strongly dependent on the temporal resolution. In [6], the ETD scheme for FDTD is proposed to model electromagnetic wave propagation in an isotropic homogeneous lossy dielectric with electric and magnetic conductivities σ and σ * , respectively.…”

Section: Introductionmentioning

confidence: 99%

High-Order FDTD With Exponential Time Differencing Algorithm for Modeling Wave Propagation in Debye Dispersive Materials

Chen¹,

Tang²

2018

PIER Letters

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Abstract-A high-order (HO) finite-difference time-domain (FDTD) method with exponential time differencing (ETD) algorithm is proposed to model electromagnetic wave propagation in Debye dispersive material in this paper. The proposed method introduces an auxiliary difference equation (ADE) technique which establishes the relationship between the electric displacement vector and electric field intensity with a differential equation in Debye dispersive media. The ETD algorithm is applied to the displacement vector and auxiliary difference variable in time domain, and the fourth-order centraldifference discretization is used in space domain. One example with plane wave propagation in a Debye dispersive media is calculated. Compared with the conventional ETD-FDTD method, the results from our proposed method show its accuracy and efficiency for Debye dispersive media simulation.

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“…But the method presented in [10] is restricted to lossless dispersive media despite the accuracy and memory savings achieved. Then, a novel higher-order method for modeling lossy media and dispersive media has been presented in [11][12][13]. Some methods applied in anisotropic magnetized plasma have later been extended [14,15].…”

Section: Introductionmentioning

confidence: 99%

An Optimized PLRC-FDTD Model of Wave Propagation in Anisotropic Magnetized Plasma

Ding¹,

Zhao²,

Yang³

et al. 2017

PIER M

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Abstract-Numerical dispersion is the main error source of the finite-difference time-domain (FDTD) method. In this paper, an optimized piecewise linear recursive convolution (PLRC) FDTD method with low numerical dispersion is presented first time for electromagnetic-wave propagation in anisotropic magnetized plasma. An optimized difference item which can achieve better approximation to the partial differential operator from transform domain is induced in this algorithm which decreases numerical dispersion. The item can be regarded as adding a correcting coefficient to conventional central difference format. And it is easy for programming and implementation. Numerical examples of electromagnetic pulse wave propagating in plasma demonstrate that the proposed optimized PLRC-FDTD method can not only reduce the numerical dispersion, but also improve precision, saving computational memory and computational time compared with the conventional PLRC-FDTD method. Same accuracy can be achieved when the spatial mesh size for the optimized PLRC-FDTD method is 2 times coarser as that in the conventional PLRC-FDTD method, corresponding to the computation time consumed in the optimized method is only 1/2 as that in the conventional one.

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An FDTD Algorithm for Wave Propagation in Dispersive Media using Higher-Order Schemes

Cited by 41 publications

References 15 publications

An Extended FDTD Method for the Analysis of Electromagnetic Field Rotators and Cloaking Devices

An Extended FDTD Method for the Analysis of Electromagnetic Field Rotators and Cloaking Devices

High-Order FDTD With Exponential Time Differencing Algorithm for Modeling Wave Propagation in Debye Dispersive Materials

An Optimized PLRC-FDTD Model of Wave Propagation in Anisotropic Magnetized Plasma

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