High order surface impedance boundary conditions for the FDTD method

Farahat, N.; Yuferev, S.; Ida, Nathan

doi:10.1109/20.952586

Cited by 16 publications

(11 citation statements)

References 9 publications

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“…A 3-D formulation involving a thin impedance sheet with a thickness less than a grid cell is considered in Reference [4], but the model is limited to the case where the structure is aligned with the grid directions. A conformal approach involving a two-dimensional (2-D) non-conforming SIBC in Cartesian grid has been proposed for the 2-D finite-difference time-domain (FDTD) algorithm [5]. However, direct application of Farahat et al's method [5] to 3-D problems is not possible.…”

Section: Introductionmentioning

confidence: 99%

“…A conformal approach involving a two-dimensional (2-D) non-conforming SIBC in Cartesian grid has been proposed for the 2-D finite-difference time-domain (FDTD) algorithm [5]. However, direct application of Farahat et al's method [5] to 3-D problems is not possible. Despite the extensive research on the SIBCs, general 3-D structures cannot be treated without resorting to unstructured grids.…”

Section: Introductionmentioning

confidence: 99%

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Modelling of lossy curved surfaces in the 3-D frequency-domain finite-difference methods

Makinen

Gersem

Weiland

et al. 2006

Int. J. Numer. Model.

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SUMMARYA conformal first-order or Leontovic surface-impedance boundary condition (SIBC) for the modelling of fully three-dimensional (3-D) lossy curved surfaces in a Cartesian grid is presented for the frequencydomain finite-difference (FD) methods. The impedance boundary condition is applied to auxiliary tangential electric and magnetic field components defined at the curved surface. The auxiliary components are subsequently eliminated from the formulation resulting in a modification of the local permeability value at boundary cells, allowing the curved 3-D surface to be described in terms of Cartesian grid components. The proposed formulation can be applied to model skin-effect loss in time-harmonic driven problems. In addition, the impedance matrix can be used as a post-processor for the eigenmode solver to calculate the wall loss.The validity of the proposed model is evaluated by investigating the quality factors of cylindrical and spherical cavity resonators. The results are compared with analytic solutions and numerical reference data calculated with the commercial software package CST Microwave Studio TM (MWS). The convergence rate of the results is shown to be of second-order for smooth curved metal surfaces. The overall accuracy of the approach is comparable to that of CST MWS TM .

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Modelling of lossy curved surfaces in the 3-D frequency-domain finite-difference methods

Makinen

Gersem

Weiland

et al. 2006

Int. J. Numer. Model.

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“…[5] The SIBC technique has also been successfully applied to model conductive bodies by Smith [1992a, 1992b], by Beggs et al [1992], and by Kellali et al [1993]. Also, a higher-order SIBC model has been introduced by Farahat et al [2001]. They use power series expansion with perturbation techniques and neglect some spatial errors in the discretization, which may lead to significant numerical errors and even deteriorate the expected increase in accuracy as compared with the Leontovich SIBC.…”

Section: Introductionmentioning

confidence: 99%

“…They use power series expansion with perturbation techniques and neglect some spatial errors in the discretization, which may lead to significant numerical errors and even deteriorate the expected increase in accuracy as compared with the Leontovich SIBC. No comparisons of the numerical results with analytical results were presented in Farahat et al [2001], where scattering from conductive cylinders was considered. It appears that until now, no higher-order models for metal-backed coatings have been developed for FDTD.…”

Section: Introductionmentioning

confidence: 99%

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FDTD surface impedance models for electrically thick dispersive material coatings

Kärkkäinen

2003

Radio Science

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[1] A new accurate finite-difference time-domain model of dielectric and conductive layers on metal surfaces is developed. The model is based on higher-order surface impedance boundary conditions (SIBC). Several improvements to the existing numerical SIBC models are presented. The most important features of the proposed model are the inclusion of the tangential variations of the fields into the model and a considerably more accurate approximation of the impedance function than in the earlier works. In addition to the usual dielectric and conductive layers, the model can also handle layers of Lorentz, Debye, or Drude media. It is shown that the range of applicability of the proposed SIBC model is greatly increased as compared with the earlier models. Verification of the model is performed with one-and two-dimensional simulations. The results are compared with the exact results in both time and frequency domains. Also, a comparison with an earlier model is provided.

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Modeling of Complex Structures

Jin

Riley

2008

Finite Element Analysis of Antennas and Arrays

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High order surface impedance boundary conditions for the FDTD method

Cited by 16 publications

References 9 publications

Modelling of lossy curved surfaces in the 3-D frequency-domain finite-difference methods

Modelling of lossy curved surfaces in the 3-D frequency-domain finite-difference methods

FDTD surface impedance models for electrically thick dispersive material coatings

Modeling of Complex Structures

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