Stable coaxial waveguide‐port algorithm for the time‐domain finite‐element method

Rylander, Thomas; Jin, Jian

doi:10.1002/mop.20225

Cited by 8 publications

(5 citation statements)

References 20 publications

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“…The hybrid algorithms have been applied to a number of electromagnetic problems [1]: radar cross section (RCS) analysis [6,10]; platform integrated antennas [11,12]; and detailed modeling of antenna feeds [13]. Here, we show the bistatic RCS at 1.5GHz for a generic aircraft called RUND, shown in Fig.…”

Section: Applicationsmentioning

confidence: 99%

Finite element methods with stable hybrid explicit-implicit time-integration schemes

Rylander

2007

2007 International Conference on Electromagnetics in Advanced Applications

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Finite element methods with stable hybrid explicit-implicit time-integration schemes are reviewed.In particular, constructions that reduce to the well-known finite-difference time-domain (FDTD) scheme on structured grids of cubes are considered. Unstructured tetrahedrons with implicit time-stepping are used in the vicinity of curved and complex boundaries. The tetrahedrons are connected to the FDTD cells either directly or by means of a layer of pyramids. The hybrid methods show second order convergence (when the field solution is regular) with respect to cell size, preserve the nullspace of the curl-operator, do not suffer from spectral contamination, and provide stable-time stepping up to the Courant condition of the FDTD scheme without artificial damping.

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Section: Applicationsmentioning

confidence: 99%

Finite element methods with stable hybrid explicit-implicit time-integration schemes

Rylander

2007

2007 International Conference on Electromagnetics in Advanced Applications

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“…The expressions for 's and 's can be inferred readily from (14), (15), and (20). The values of the time-domain expansion coefficients in (22)-(24) depend on the specific form of the basis and testing function used in the temporal discretiztion.…”

Section: A Perfectly Matched Layersmentioning

confidence: 99%

“…Since this model, termed as the waveguide port boundary condition (WPBC), includes all higher-order modes, its implementation in the time domain is nontrivial. Inspired by its initial success that includes only the fundamental TEM mode [15], a recent effort has successfully implemented it for the TDFEM simulation of microwave devices [16], which now provides an essential component for the accurate TDFEM modeling of broad-band antennas.…”

Section: Introductionmentioning

confidence: 99%

Modeling and simulation of broad-band antennas using the time-domain finite element method

Lou

Jin

2005

IEEE Trans. Antennas Propagat.

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This paper presents a time-domain finite element method (TDFEM) for the modeling and simulation of complex broad-band antennas. Two critical components, namely the modeling of antenna feeds and the truncation of infinite free space, are discussed in detail. An accurate waveguide port boundary condition is employed to model the commonly used coaxial feeds, which is also applicable to other waveguide feeding structures. An improvement to the simplified probe feed model is also presented. The formulation and implementation of perfectly matched layers are briefly described for the truncation of the TDFEM computational domain. Numerical examples are presented to demonstrate the modeling and simulation of typical broad-band antennas, which include a logarithmic spiral antenna, a Vivaldi antenna, and a Vlasov antenna.Index Terms-Broad-band antenna simulation, feed modeling, perfectly matched layers, time-domain finite-element method (TDFEM), waveguide port boundary condition.

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“…A more accurate and efficient waveport modeling is to employ the analytically exact waveguide port boundary condition (WPBC), which has been widely used in the FDTD and both the frequency-and time-domain FEM. [14][15][16][17][18][19][20] In this paper, we first present a new implementation of the WPBC in the DGTD modeling of electromagnetic fields. This implementation is different from an earlier approach, 8 which requires an additional length of waveguide to attach to the waveport so that a transmission equation can be solved together with Maxwell's equations.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Waveport modeling for the DGTD simulation of electromagnetic devices

Chang

Chen

Yan

et al. 2017

Int J Numerical Modelling

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The issue of waveport modeling for the numerical simulation of electromagnetic devices using the discontinuous Galerkin time-domain (DGTD) method is investigated. A new implementation of the waveport boundary condition (WPBC) is presented along with a fast evaluation of the required convolution. The performance of the WPBC for the DGTD simulation is then compared with that of the first-order absorbing boundary condition and the uniaxial perfectly matched layer (UPML).Two numerical examples are presented to demonstrate the waveport modeling for the DGTD simulation of electromagnetic devices based on the WPBC and UPML. KEYWORDS computational electromagnetics, discontinuous Galerkin time-domain (DGTD) method, numerical modeling, uniaxial perfectly matched layer (UPML), waveport boundary condition (WPBC) 1 Int J Numer Model. 2018;31:e2226.wileyonlinelibrary.com/journal/jnm

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Stable coaxial waveguide‐port algorithm for the time‐domain finite‐element method

Cited by 8 publications

References 20 publications

Finite element methods with stable hybrid explicit-implicit time-integration schemes

Finite element methods with stable hybrid explicit-implicit time-integration schemes

Modeling and simulation of broad-band antennas using the time-domain finite element method

Waveport modeling for the DGTD simulation of electromagnetic devices

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