Reduction of numerical dispersion in FDTD method through artificial anisotropy

Juntunen, J.; Tsiboukis, T.D.

doi:10.1109/22.842030

Cited by 117 publications

(69 citation statements)

References 11 publications

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“…To ensure the stability and accuracy of FDTD algorithm [18], in this paper, the spatial increment and temporal increment could be set as Δx = Δy = δ, Δt = 0.5 × δ/c, and c is the light speed in vacuum. The finite-difference equations for the TE waves can be obtained by dual transformations, which are not presented here.…”

Section: Upml Absorbing Boundarymentioning

confidence: 99%

FDTD Investigation on Bistatic Scattering From a Target Above Two-Layered Rough Surfaces Using Upml Absorbing Condition

Li¹,

Guo²,

Zeng³

2008

PIER

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Abstract-This paper presents an investigation for the electromagnetic scattering characteristic of the 2-D infinitely long target located above two-layered 1-D rough surfaces. A finite-difference time-domain (FDTD) approach is used in this study, and the uniaxial perfectly matched layer (UPML) medium is adopted for truncation of FDTD lattices, in which the finite-difference equations can be used for the total computation domain by properly choosing the uniaxial parameters. The upper and lower interfaces are characterized with Gaussian statistics for the height and the autocorrelation function. For the composite scattering of infinitely long cylinder and underlying single-layered rough surfaces as an example, the angular distribution of scattering coefficient with different incident angles is calculated and it shows good agreement with the numerical result by the conventional method of moments. And the influence of some parameters related to the twolayered rough surfaces and target on composite scattering coefficient is investigated and discussed in detail.

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Section: Upml Absorbing Boundarymentioning

confidence: 99%

FDTD Investigation on Bistatic Scattering From a Target Above Two-Layered Rough Surfaces Using Upml Absorbing Condition

Li¹,

Guo²,

Zeng³

2008

PIER

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“…One method that has been employed artificially adjusts material parameters to compensate for dispersion [32]. For accelerator applications, several modifications to FDTD have been described that correct for numerical dispersion using implicit methods [3,33].…”

Section: Introductionmentioning

confidence: 99%

Generalized algorithm for control of numerical dispersion in explicit time-domain electromagnetic simulations

Cowan

Bruhwiler

Cary

et al. 2013

Phys. Rev. ST Accel. Beams

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We describe a modification to the finite-difference time-domain algorithm for electromagnetics on a Cartesian grid which eliminates numerical dispersion error in vacuum for waves propagating along a grid axis. We provide details of the algorithm, which generalizes previous work by allowing 3D operation with a wide choice of aspect ratio, and give conditions to eliminate dispersive errors along one or more of the coordinate axes. We discuss the algorithm in the context of laser-plasma acceleration simulation, showing significant reduction-up to a factor of 280, at a plasma density of 10 23 m À3 -of the dispersion error of a linear laser pulse in a plasma channel. We then compare the new algorithm with the standard electromagnetic update for laser-plasma accelerator stage simulations, demonstrating that by controlling numerical dispersion, the new algorithm allows more accurate simulation than is otherwise obtained. We also show that the algorithm can be used to overcome the critical but difficult challenge of consistent initialization of a relativistic particle beam and its fields in an accelerator simulation.

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“…∆x, ∆y and ∆z are the spatial increments in the x-, y-and z-directions, and ∆t is the time increment. To ensure the stability and accuracy of the FDTD algorithm [18], the Courant stability limit in this paper could be set as ∆x = ∆y = ∆z = ∆, ∆t = 0.5 × ∆/c, and c is the light speed propagation in the vacuum. Similarly, finite-difference approximations for the y-and z-components can be similarly derived as shown by Ref.…”

Section: Computation Of Near Fieldsmentioning

confidence: 99%

FDTD Method Investigation on the Polarimetric Scattering From 2-D Rough Surface

Li¹,

Guo²,

Zeng³

2010

PIER

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Abstract-A polarimetric scattering from two-dimensional (2-D) rough surface is presented by the finite-difference time-domain (FDTD) algorithm.The FDTD calculations with sinusoidal and pulsed plane wave excitations are performed. As the sinusoidal FDTD is concerned, it is convenient to obtain the scattered angular distribution of normalized radar cross section (NRCS) from rough surface for a single frequency. And the advantage of pulsed FDTD is to calculate the frequency distribution of NRCS from rough surface in a scattered direction of interest. A single frequency scattering from rough surface by sinusoidal FDTD is validated by the result of Kirchhoff Approximation (KA). And the frequency response of rough surface by pulsed FDTD is verified by that of sinusoidal FDTD, which requires an individual FDTD run for every frequency. To save computation time, the MPI-based parallel FDTD method is adopted. And the computation time of parallel FDTD algorithm is dramatically reduced compared to a single-process implementation. Finally, the polarimetric scattering of rough surface with the sinusoidal and pulsed FDTD illumination are presented and analyzed for different polarizations.

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Reduction of numerical dispersion in FDTD method through artificial anisotropy

Cited by 117 publications

References 11 publications

FDTD Investigation on Bistatic Scattering From a Target Above Two-Layered Rough Surfaces Using Upml Absorbing Condition

FDTD Investigation on Bistatic Scattering From a Target Above Two-Layered Rough Surfaces Using Upml Absorbing Condition

Generalized algorithm for control of numerical dispersion in explicit time-domain electromagnetic simulations

FDTD Method Investigation on the Polarimetric Scattering From 2-D Rough Surface

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