Generalized Sheet Transition Condition FDTD Simulation of Metasurface

Vahabzadeh, Yousef; Chamanara, Nima; Caloz, Christophe

doi:10.1109/tap.2017.2772022

Cited by 73 publications

(67 citation statements)

References 14 publications

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“…The BEM method thus combines the various BC equations at every interface with Eq. (13) to solve for the unknown surface current distributions, from which the general scattered fields can finally be calculated.…”

Section: B Discretization -Bem With Pulse Functionsmentioning

confidence: 99%

“…It should be noted that the separation between the source and the metasurface, d s does not affect the memory requirements of the simulation since the surfaces are linked together using the scattered field equations Eq. (13). In addition, the source and surface discretization can also be different.…”

Section: Numerical Demonstrationmentioning

confidence: 99%

“…Email: ShulabhGupta@cunet.carleton.ca represents a spatial discontinuity and thus is treated using Generalized Sheet Transition Conditions (GSTCs) [8]- [10]. Based on GSTCs and the surface susceptibilities, various numerical techniques have been proposed recently to solve for the scattered fields from the metasurface, for both frequency [11], [12] and time-domain [13]- [15] simulations using Finite Difference (FD) methods, Finite Element Methods (FEM) [16] and Integral Equations (IE) in the Spectral Domain (SD) [17].…”

Section: Introductionmentioning

confidence: 99%

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Scattering Field Solutions of Metasurfaces Based on the Boundary Element Method for Interconnected Regions in 2-D

Stewart

Moslemi-Tabrizi

Smy

et al. 2019

IEEE Trans. Antennas Propagat.

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A methodology for determining the scattered Electromagnetic (EM) fields present for interconnected regions with common metasurface boundaries is presented. The method uses a Boundary Element Method (BEM) formulation of the frequency domain version of Maxwell's equations -which expresses the fields present in a region due to surface currents on the boundaries. Metasurface boundaries are represented in terms of surface susceptibilities which when integrated with the Generalized Sheet Transition Conditions (GSTCs), gave rise to an equivalent configuration in terms of electric and magnetic currents. Such a representation is then naturally incorporated into the BEM methodology. Two examples are presented for EM scattering of a Gaussian beam to illustrate the proposed method. In the first example, metasurface is excited with a diverging Gaussian beam, and the scattered fields are validated using a semi-analytical method. Second example concerned with a non-uniform metasurface modeling a diffraction grating, whose results were confirmed with conventional Finite Difference Frequency Domain (FDFD) method.

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Section: B Discretization -Bem With Pulse Functionsmentioning

confidence: 99%

Section: Numerical Demonstrationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Scattering Field Solutions of Metasurfaces Based on the Boundary Element Method for Interconnected Regions in 2-D

Stewart

Moslemi-Tabrizi

Smy

et al. 2019

IEEE Trans. Antennas Propagat.

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“…• a straightforward and analytical technique for syn- [24], which is the focus of this paper; • a unique insight into the physics of metasurfaces [spatial and temporal variation, passive/active nature, reciprocity/nonreciprocity, tensorial structure (monoisotropy, monoanisotropy, bianisotropy), linearity/nonlinearity and transformation multiplicity] [15], [42], [43]. Of course, the χ(x, y) model will eventually have to be connected to the physical metasurface structure [ 2 and 3 in Fig.…”

Section: Metasurface Bianisotropic Surface Susceptibility Modelmentioning

confidence: 99%

“…In order to provide a global presentation of the algorithm, we restrict our derivations to the 1D problem of scattering by an isotropic point (or 0D) 'metasurface'. This is sufficient to capture the gist of the GSTC implementation and straightforwardly extends to the case of 2D/3D (1D/2D metasurface) problems and bianisotropic metasurfaces, as detailed in [24]. However, the illustrative example will deal with a 2D metasurface.…”

Section: A Finite Difference Time Domain (Fdtd) Algorithmmentioning

confidence: 99%

Computational Analysis of Metasurfaces

Vahabzadeh

Chamanara

Achouri

et al. 2018

IEEE J. Multiscale Multiphys. Comput. Tech.

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Metasurfaces represent one of the most vibrant fields of modern science and technology. A metasurface is a complex electromagnetic structure, that is typically deeply subwavelength in thickness, electrically large in transverse size and composed of subwavelength scattering particles with extremely small features; it may generally be bianisotropic, spacevarying and time-varying, nonlinear, curved and multiphysics. With such complexity, the design of a metasurface requires a holistic approach, involving synergistic synthesis and analysis operations, based on a solid model. The Generalized Sheet Transition Conditions (GSTCs), combined with bianisotropic surface susceptibility functions, provide such a model, and allow now for the design of sophisticated metasurfaces, which still represented a major challenge a couple of years ago. This paper presents this problematic, focusing on the computational analysis of metasurfaces via the GSTC-susceptibility approach. It shows that this analysis plays a crucial role in the holistic design of metasurfaces, and overviews recently reported related frequency-domain (FDFD, SD-IE, FEM) and time-domain (FDTD) computational techniques.

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Revisiting the Design Strategies for Metasurfaces: Fundamental Physics, Optimization, and Beyond

Mun

Park

et al. 2023

Advanced Materials

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Over the last two decades, the capabilities of metasurfaces in light modulation with subwavelength thickness have been proven, and metasurfaces are expected to miniaturize conventional optical components and add various functionalities. Herein, various metasurface design strategies are reviewed thoroughly. First, the scalar diffraction theory is revisited to provide the basic principle of light propagation. Then, widely used design methods based on the unit‐cell approach are discussed. The methods include a set of simplified steps, including the phase‐map retrieval and meta‐atom unit‐cell design. Then, recently emerging metasurfaces that may not be accurately designed using unit‐cell approach are introduced. Unconventional metasurfaces are examined where the conventional design methods fail and finally potential design methods for such metasurfaces are discussed.

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Generalized Sheet Transition Condition FDTD Simulation of Metasurface

Cited by 73 publications

References 14 publications

Scattering Field Solutions of Metasurfaces Based on the Boundary Element Method for Interconnected Regions in 2-D

Scattering Field Solutions of Metasurfaces Based on the Boundary Element Method for Interconnected Regions in 2-D

Computational Analysis of Metasurfaces

Revisiting the Design Strategies for Metasurfaces: Fundamental Physics, Optimization, and Beyond

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