A frequency-dependent finite-difference time-domain formulation for general dispersive media

Gandhi, O.P.; Benqing, Gao; Chen, J.-Y.

doi:10.1109/22.231661

Cited by 225 publications

(111 citation statements)

References 16 publications

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“…These multiple mechanisms may involve interfacial polarization, dipolar orientation, ionic diffusion (e.g., see p. 40, 49, 57 of [31]) and may often require a selection of several types of distributional representations from examples such as the fractional power laws of the Cole-Cole [25,26,31,35,46], the log normal, the uniform, as well as the Debye and Lorentz (although the fractional power law of Cole-Cole is more the rule rather than the exception -p. 39, [31]). These multiple mechanisms are likely present in some weighted combination (e.g., see [36] and p. 369, [40]) and often are manifested in a frequency-dependent manner. It is therefore advantageous to consider interrogation or inverse problems with multiple frequencies (e.g., ranging from RF (10 6 ) to GHz (10 10 )) or broadband excitation signals.…”

Section: Sponsoring/monitoring Agency Name(s) and Address(es) 10 Spomentioning

confidence: 99%

Electromagnetic Inverse Problems Involving Distributions of Dielectric Mechanisms and Parameters

Banks¹,

Gibson²

2005

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We consider electromagnetic interrogation problems for complex materials involving distributions of polarization mechanisms and also distributions for the parameters in these mechanisms. A theoretical and computational framework for such problems is given. Computational results for specific problems with multiple Debye mechanisms are given in the case of discrete, uniform, log-normal, and log-Bi-Gaussian distributions.Keywords: Electromagnetic interrogation with pulsed antenna source microwaves and inverse problems, complex dielectric materials, distributions of relaxation parameters and mechanisms.

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Section: Sponsoring/monitoring Agency Name(s) and Address(es) 10 Spomentioning

confidence: 99%

Electromagnetic Inverse Problems Involving Distributions of Dielectric Mechanisms and Parameters

Banks¹,

Gibson²

2005

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“…They mainly rely on auxiliary differential equation (ADE) methods [7][8][9][10][11][12], or Z-Transform (ZT) methods [13][14][15][16][17]. In this paper, a new and simple FD 2 TD method without convolution equations is proposed.…”

Section: Introductionmentioning

confidence: 99%

“…In order to avoid the solution of the convolution equations, alternative FD 2 TD methods have been also proposed in the past [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21]. They mainly rely on auxiliary differential equation (ADE) methods [7][8][9][10][11][12], or Z-Transform (ZT) methods [13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Fd2td Analysis of Electromagnetic Field Propagation in Multipole Debye Media With and Without Convolution

Feliziani¹,

Cruciani²,

Santis³

et al. 2012

PIER B

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Abstract-This paper deals with the time-domain numerical calculation of electromagnetic (EM) fields in linearly dispersive media described by multipole Debye model. The frequency-dependent finite-difference time-domain (FD 2 TD) method is applied to solve Debye equations using convolution integrals or by direct integration. Original formulations of FD 2 TD methods are proposed using different approaches. In the first approach based on the solution of convolution equations, the exponential analytical behavior of the convolution integrand permits an efficient recursive FD 2 TD solution. In the second approach, derived by circuit theory, the transient equations are directly solved in time domain by the FD 2 TD method. A comparative analysis of several FD 2 TD methods in terms of stability, dispersion, computational time and memory is carried out.

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“…The strategy is to use the inverse Fourier transform by which the frequency-dependent constitutive relation is transformed to the time-domain. These techniques include the recursive convolution (RC) [2], piecewise linear recursive convolution (PLRC) [3]and auxiliary differential equation (ADE) [4]. By mapping the frequency-domain relation is to Z-domain, then the Z transform (ZT) technique is developed [5,6].Recently, exponential time differential (ETD) algorithm is proposed to raise the accuracy [7,8].…”

Section: Introductionmentioning

confidence: 99%

Microwave reflection and transmission characteristics through plasma slab based on PLRC

Ji¹,

Ma²

2015

Proceedings of the 2015 International Power, Electronics and Materials Engineering Conference

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Abstract. he piecewise linear recursive convolution (PLRC)is proposed for cold plasma medium using finite-difference time-domain (FDTD) method. In PLRC algorithm, the electric field with time is piecewise interpolated and the recursive convolution was introduced. The reflection and transmission coefficients were calculated by the electromagnetic response of a differential Gaussian pulse. The calculation results are validated with analytic values and the results agree well with each other. The calculation results show that higher frequency microwave can transmit through the plasma and lower frequency is forbidden.

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A frequency-dependent finite-difference time-domain formulation for general dispersive media

Cited by 225 publications

References 16 publications

Electromagnetic Inverse Problems Involving Distributions of Dielectric Mechanisms and Parameters

Electromagnetic Inverse Problems Involving Distributions of Dielectric Mechanisms and Parameters

Fd2td Analysis of Electromagnetic Field Propagation in Multipole Debye Media With and Without Convolution

Microwave reflection and transmission characteristics through plasma slab based on PLRC

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