Modeling of Metasurfaces Using Discontinuous Galerkin Time-Domain Method Based on Generalized Sheet Transition Conditions

Tian, Shaowen; Wu, Kaiming; Ren, Qiang

doi:10.1109/tap.2022.3161454

Cited by 6 publications

(6 citation statements)

References 26 publications

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“…Some methods for implementing these simplifications and calculation of the tensors are presented in [48]. Although, to our best knowledge, there is no commercial electromagnetic software on the market using GSTCs [50], [51], different numerical methods have employed GSTCs for electromagnetic simulation of metasurfaces, e.g., the discontinuous Galerkin time-domain (DGTD) in [50], [51], the finite difference time-domain (FDTD) in [12], [52], the finite-element method (FEM) in [53], the finite difference frequency-domain (FDFD) in [54], the spectral-domain integral equations (SD-IEs) in [55], the multifilament current (MFC) in [56], the IE-based method of moments (IE-MoM) in [57]. In [50], for example, they introduced the "virtual edges" after and before the metasurface to incorporate the DGTD method on GSTCs (see Fig.…”

Section: Metasurface Synthesis Problemmentioning

confidence: 99%

“…In [50], for example, they introduced the "virtual edges" after and before the metasurface to incorporate the DGTD method on GSTCs (see Fig. 1 in [50]). Besides, multiple representative simulation examples to validate the effectiveness of the mentioned numerical methods, incorporating GSTCs have been presented and benchmarked in the literature.…”

Section: Metasurface Synthesis Problemmentioning

confidence: 99%

“…The macroscopic approach, on the other hand, requires the incident, reflection, and transmission fields to calculate the susceptibility tensors [16], [48]. We refer the reader to the relevant literature which covers the theoretical study of these methods extensively [9], [16], [19], [37], [29], [50]- [57], [60], [58], [73]- [76].…”

Section: How Conventional Boundary Conditions Are Converted To Gstcsmentioning

confidence: 99%

“…Currently, commercial full-wave simulators can model various boundary conditions, including the perfectly matched layer (PML), perfect electric conductor (PEC), periodic boundary condition, radiation boundary condition, and perfect magnetic conductor (PMC) [12]. As already mentioned, there has not been any commercial simulation tool capable of incorporating GSTCs [50], [51]. The importance of these numerical method examples lies in paving the way for further research in developing GSTCs modeling for designing various metasurface applications with shorter simulation times [50], [51].…”

Section: Synthesizing a Metasurface Structure With Susceptibility Mod...mentioning

confidence: 99%

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Generalized Sheet Transition Conditions (GSTCs) in Electromagnetic Metasurface Modeling

Ghaneizadeh,

Joodaki

2024

IEEE Access

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We present a modeling framework for metasurfaces illuminated by a plane wave based on the Generalized Sheet Transition Conditions (GSTCs). This framework describes how conventional boundary conditions are converted to GSTCs. In order to provide a physical insight into the induced dipole moments of simple small scatters, different snapshots are used when the maximum electric or maximum magnetic field touches the metasurface. The spatial derivatives of the normal components of the induced surface polarization densities are physically justified by considering all possible cases. It is shown that both the normal and transverse components of the electric surface polarization density and surface magnetization (magnetic polarization) density should be included in studying the most general case in the metasurface. In addition, we have reviewed three different modeling approaches for describing the GSTCs, which are polarizability, susceptibility, and impedance/admittance models. The interrelations between these approaches are also discussed. Finally, we have reviewed the generalized modeling approaches of GSTCs for synthesizing bianisotropic metasurfaces via all three mentioned models. This review provides several examples to demonstrate how to design a desired metasurface using GSTCs. This tutorial study may open new paradigms for a better modeling and conceptual understanding of GSTCs.

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Section: Metasurface Synthesis Problemmentioning

confidence: 99%

Section: Metasurface Synthesis Problemmentioning

confidence: 99%

Section: How Conventional Boundary Conditions Are Converted To Gstcsmentioning

confidence: 99%

Section: Synthesizing a Metasurface Structure With Susceptibility Mod...mentioning

confidence: 99%

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Generalized Sheet Transition Conditions (GSTCs) in Electromagnetic Metasurface Modeling

Ghaneizadeh,

Joodaki

2024

IEEE Access

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“…method in [10], the method of moment (MOM) in [11], and the discontinuous Galerkin time-domain (DGTD) method in [12]. Among these different types of the frequency-domain and time-domain techniques, the schemes which are implemented for time-domain analysis have the advantage of simulating problems in a wide frequency-band.…”

Section: Introductionmentioning

confidence: 99%

Time-Domain Meshless Method Simulation of Metasurfaces With Generalized Sheet Transition Conditions

Shams

Mohajeri

Movahhedi

2023

Antennas Wirel. Propag. Lett.

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This paper presents a time-domain formulation of a meshless method based on the generalized sheet transition conditions (GSTCs). This formulation is applicable for modeling a kind of dispersive metasurface and a time-varying metasurface. This is the first time a meshless method is developed for analysis of the metasurfaces using GSTCs. The significance of time-domain meshless methods originates from their capabilities for multi-scale and conformal modeling in addition to analysis of problems in a broad frequency-range. Here, for simplicity, the meshless method formulation is presented for analysis of 1-D problems consisting of metasurfaces which are monoisotropic. The extension of this method to 2-D and 3-D problems and bianisotropic metasurfaces is straightforward. The efficiency of the proposed formulations is verified by numerical examples.

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Metasurfaces Design Using Primary Elements and Characteristic Models: Connection Between SSM/SPM and Circuit Quantities

Jia

Dang²,

Pan³

et al. 2023

IEEE Trans. Antennas Propagat.

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Modeling of Metasurfaces Using Discontinuous Galerkin Time-Domain Method Based on Generalized Sheet Transition Conditions

Cited by 6 publications

References 26 publications

Generalized Sheet Transition Conditions (GSTCs) in Electromagnetic Metasurface Modeling

Generalized Sheet Transition Conditions (GSTCs) in Electromagnetic Metasurface Modeling

Time-Domain Meshless Method Simulation of Metasurfaces With Generalized Sheet Transition Conditions

Metasurfaces Design Using Primary Elements and Characteristic Models: Connection Between SSM/SPM and Circuit Quantities

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