Dispersive models for the finite-difference time-domain method: design, analysis, and implementation

Hulse, Charles A.; Knoesen, A.

doi:10.1364/josaa.11.001802

Cited by 44 publications

(30 citation statements)

References 11 publications

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“…A comparison between -transform and ADE approaches for a monospecies Debye model describing biological tissues is provided in [76]. Another, but less frequently used, approach for frequency dispersion modeling is the so-called frequency approximation method described in [77], [78] and based on a substitution of the frequency variable in the (frequency-domain) dispersion models by linear backward differences.…”

Section: A Fdtd Implementationsmentioning

confidence: 99%

Time-Domain Finite-Difference and Finite-Element Methods for Maxwell Equations in Complex Media

Teixeira

2008

IEEE Trans. Antennas Propagat.

202

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Section: A Fdtd Implementationsmentioning

confidence: 99%

Time-Domain Finite-Difference and Finite-Element Methods for Maxwell Equations in Complex Media

Teixeira

2008

IEEE Trans. Antennas Propagat.

202

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“…We can determine the accuracy of each implementation scheme using the generalized time-sampled relation ship between polarization and electric fields [20,21] given by…”

Section: Accuracy Estimatesmentioning

confidence: 99%

PLRC and Ade Implementations of Drude-Critical Point Dispersive Model for the FDTD Method

Chun¹,

Kim²,

Kim³

et al. 2013

PIER

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Abstract-We describe the implementations of Drude-critical point model for describing dispersive media into finite difference time domain algorithm using piecewise-linear recursive-convolution and auxiliary differential equation methods. The advantages, accuracy and stability of both implementations are analyzed in detail. Both implementations were applied in studying the transmittance and reflectance of thin metal films, and excellent agreement is observed between analytical and numerical results.

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“…Assuming vanished tangential 0018-926X/02$17.00 © 2002 IEEE fields on the surface bounding the volume of interest, and using Galerkin's method, we obtain a weak-form solution (2) where denotes the vector basis function. Expanding the electric field as (3) with denoting the total number of expansion functions, and substituting (3) into (2), we obtain an ordinary differential equation (4) in which (5) Here, for simplicity, the medium is assumed to be homogeneous throughout the computational domain. For the inhomogeneous case, the spatial variation of the permittivity can be taken into account in matrices and , and the following approach for the stability analysis remains valid.…”

Section: Stability Analysismentioning

confidence: 99%

A general approach for the stability analysis of the time-domain finite-element method for electromagnetic simulations

Jiao¹,

Jin

2002

IEEE Trans. Antennas Propagat.

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This paper presents a general approach for the stability analysis of the time-domain finite-element method (TDFEM) for electromagnetic simulations. Derived from the discrete system analysis, the approach determines the stability by analyzing the root-locus map of a characteristic equation and evaluating the spectral radius of the finite element system matrix. The approach is applicable to the TDFEM simulation involving dispersive media and to various temporal discretization schemes such as the central difference, forward difference, backward difference, and Newmark methods. It is shown that the stability of the TDFEM is determined by the material property and by the temporal and spatial discretization schemes. The proposed approach is applied to a variety of TDFEM schemes, which include: 1) time-domain finite-element modeling of dispersive media; 2) time-domain finite element-boundary integral method; 3) higher order TDFEM; and 4) orthogonal TDFEM. Numerical results demonstrate the validity of the proposed approach for stability analysis.Index Terms-Finite-element methods (FEM), numerical analysis, numerical stability, time-domain analysis, transient analysis.

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Dispersive models for the finite-difference time-domain method: design, analysis, and implementation

Cited by 44 publications

References 11 publications

Time-Domain Finite-Difference and Finite-Element Methods for Maxwell Equations in Complex Media

Time-Domain Finite-Difference and Finite-Element Methods for Maxwell Equations in Complex Media

PLRC and Ade Implementations of Drude-Critical Point Dispersive Model for the FDTD Method

A general approach for the stability analysis of the time-domain finite-element method for electromagnetic simulations

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