PML Implementation in a Nonconforming Mixed-Element DGTD Method for Periodic Structure Analysis

Bao, Huaguang; Kang, Lei; Campbell, Sawyer D.; Werner, Douglas H.

doi:10.1109/tap.2019.2927663

Cited by 21 publications

(9 citation statements)

References 43 publications

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“…The dimensions of the computation domain are Lx = 6 m, Ly = 1.5 m, and Lz = 18 m along the x-, y-, and zdirections, respectively. Periodic boundary conditions (PBCs) [54], [55] are used along the xand ydirections and perfectly matched layers (PMLs) [52], [56], [57] are used along the z-direction. The excitation parameters are f = 100 MHz, E0 = 1 V/m, and z0 = −6 m. The average edge length of the elements in the mesh used to discretize the computation domain is 0.25 m (λ0/11.99, where λ0 is the free-space wavelength at f = 100 MHz), p = 2, and ∆t = 26.04 ps.…”

Section: A Planar Metasurfacesmentioning

confidence: 99%

“…The dimensions of the computation domain are Lx = 3.15 m, Ly = 0.04 m, and Lz = 6.15 m along the x-, y-, and z-directions, respectively. PBCs [54], [55] are along the y-direction and PMLs [52], [56], [57] are used along the xand z-directions. The metasurface is excited by the fields generated by an aperture source located on the z = 2.85 m plane.…”

Section: B Space/time-varying Metasurfacementioning

confidence: 99%

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A Locally-Implicit Discontinuous Galerkin Time-Domain Method to Simulate Metasurfaces Using Generalized Sheet Transition Conditions

Chen

Ozakin

Zhao

et al. 2023

IEEE Trans. Antennas Propagat.

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The generalized sheet transition conditions (GSTCs) are incorporated into a discontinuous Galerkin time-domain (DGTD) method to efficiently simulate metasurfaces. The numerical flux for GSTCs is derived for the first time using the Rankine-Hugoniot jump conditions. This numerical flux includes time derivatives of fields and therefore explicit time integration schemes, which are traditionally used with DGTD, do not yield a stable time marching method. To alleviate this bottleneck, a new time marching scheme, which solves a local matrix system for the unknowns of the elements touching the same GSTC face, is developed. This locally-implicit method maintains its high-parallel efficiency just like the traditional explicit DGTD schemes. Numerical results, which validate the accuracy of the proposed method against analytical solutions and demonstrate its applicability to the simulation of curved and space/time-varying metasurfaces, are presented. Index Terms-discontinuous Galerkin time-domain method, finite element method, generalized sheet transition conditions, metasurface, numerical flux, time-domain analysis, time integration.

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Section: A Planar Metasurfacesmentioning

confidence: 99%

Section: B Space/time-varying Metasurfacementioning

confidence: 99%

A Locally-Implicit Discontinuous Galerkin Time-Domain Method to Simulate Metasurfaces Using Generalized Sheet Transition Conditions

Chen

Ozakin

Zhao

et al. 2023

IEEE Trans. Antennas Propagat.

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“…where η is an arbitrary direction vector. If η points in the z -direction, for example, the two wave components in (12) correspond to the transverse electric (TE) wave and transverse magnetic (TM) wave, respectively.…”

Section: Eb-scheme Based Analytic Solutions Of Plane Wavesmentioning

confidence: 99%

“…On the other hand, the Discontinuous-Galerkin Time-Domain (DGTD) method [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25] to estimate the mutual characteristics of the finite volume time domain (FVTD) method [26] and the FETD method [27,28] have many advantages in dealing with complex and fine structure with high accuracy. As an extension of the isotropic DGTD methods [29,30], the recently emerging anisotropic subdomain level DGTD method exhibits more advantages [31,32] including non-conformal mesh that can alleviate meshing difficulties for large scale problems, and EB-scheme that is more efficient than the EH-scheme.…”

Section: Introductionmentioning

confidence: 99%

An Elliptically Polarized Wave Injection Technique via Tf/Sf Boundary in Subdomain Level DGTD Method

Han¹,

Li²,

Zhou³

et al. 2022

PIER

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This study presents an effective solution on the basis of Discontinuous-Galerkin Time-Domain (DGTD) scheme for the injection of elliptically polarized plane wave through totalfield/scattered-field (TF/SF) boundary. Generally, the elliptically polarized wave can be resolved into two linearly polarized waves in phase quadrature with the polarization planes at right angles to each other, but the proposed methodology is focused to utilize the principle of wave field formation to induce left-handed or right-handed elliptically polarized waves by regulating the phase and amplitude of the incident waves. The outcome of the proposed technique is achieved by deriving the EB-scheme equations and employing the explicit fourth order Runge-Kutta (RK4) time integration scheme in the DGTD methodology. An anisotropic Riemann solver and non-conformal mesh schemes are introduced for domain decomposition to allow efficient spatial discretization. Additionally, the proposed work is extended from single frequency to broadband elliptical polarized plane wave injection in the DGTD method, and the significance of this study is observed in the results. The experimental outcomes reveal that the proposed method is consistent with the analytical solution in free space and expected to provide efficient numerical solutions for analyzing scattering characteristics generated by various elliptically polarized waves.

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“…The discontinuous Galerkin time-domain (DGTD) method is a relatively new method for computational electromagnetics (CEM) and has grown in popularity in recent years. [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] DGTD is derived from the finite elements time domain (FETD) 19 and finite volume time domain (FVTD). 20 In DGTD, two important techniques are integrated, that is, the domain decomposition method (DDM) 21 used in each element and the interior penalty numerical flux 22 for satisfying the weak boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

An improved incident‐wave formulation for broadband electromagnetic scattering by discontinuous Galerkin time‐domain method

Han

Zhao

et al. 2022

Int J RF Mic Comp-Aid Eng

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PML Implementation in a Nonconforming Mixed-Element DGTD Method for Periodic Structure Analysis

Cited by 21 publications

References 43 publications

A Locally-Implicit Discontinuous Galerkin Time-Domain Method to Simulate Metasurfaces Using Generalized Sheet Transition Conditions

A Locally-Implicit Discontinuous Galerkin Time-Domain Method to Simulate Metasurfaces Using Generalized Sheet Transition Conditions

An Elliptically Polarized Wave Injection Technique via Tf/Sf Boundary in Subdomain Level DGTD Method

An improved incident‐wave formulation for broadband electromagnetic scattering by discontinuous Galerkin time‐domain method

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