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We used a multiple-scale homogenization method to derive generalized sheet transition conditions (GSTCs) for electromagnetic fields at the surface of a metascreen---a metasurface with a "fishnet" structure. These surfaces are characterized…

Applied Physics · Physics 2018-05-23 Christopher L. Holloway , Edward F. Kuester

Using a dipole interaction model, we derive generalized sheet transition conditions (GSTCs) for electromagnetic fields at the surface of a metascreen consisting of an array of arbitrarily shaped apertures in a perfectly conducting screen of…

Classical Physics · Physics 2019-05-16 Edward F. Kuester , Enbo Liu

Using a dipole interaction model, we derive generalized sheet transition conditions (GSTCs) for electromagnetic fields at the surface of a metascreen consisting of an array of arbitrarily shaped apertures in a perfectly conducting screen of…

Classical Physics · Physics 2019-05-16 Edward F. Kuester , Enbo Liu , Nick J. Krull

A modeling of metasurfaces in the finite element method (FEM) based on generalized sheet transition conditions (GSTCs) is presented. The discontinuities in electromagnetic fields across a metasurface as represented by the GSTC are modeled…

Classical Physics · Physics 2017-05-24 Srikumar Sandeep , Jian Ming Jin , Christophe Caloz

We propose an extensive discussion on the homogenization and scattering analysis of second-order nonlinear metasurfaces. Our developments are based on the generalized sheet transition conditions (GSTCs) which are used to model the…

The paper presents the general concept of spacetime processing metasurfaces, synthesized by generalized sheet transition conditions (GSTCs). It is shown that such metasurfaces can perform multiple simultaneous spatio-temporal processing…

Optics · Physics 2016-02-16 Nima Chamanara , Yousef Vahabzadeh , Karim Achouri , Christophe Caloz

The paper overviews our recent work on the synthesis of metasurfaces and related concepts and applications. The synthesis is based on generalized sheet transition conditions (GSTCs) with a bianisotropic surface susceptibility tensor model…

Optics · Physics 2017-12-05 Karim Achouri , Christophe Caloz

This work continues the development of the raytracing method of [1] for computing the scattered fields from metasurfaces characterized by locally periodic reflection and transmission coefficients. In this work, instead of describing the…

Optics · Physics 2022-02-16 Scott Stewart , Yvo L. C. de Jong , Tom J. Smy , Shulabh Gupta

Recently we derived generalized sheet transition conditions (GSTCs) for electromagnetic fields at the surface of a metascreen (a metasurface with a ``fishnet'' structure, i.~e., a periodic array of arbitrary spaced apertures in a relatively…

Applied Physics · Physics 2019-02-26 Christopher L. Holloway , Edward F. Kuester , Abdulaziz H. Haddab

A finite-difference time-domain (FDTD) simulation of broadband electromagnetic metasurfaces based on direct in- corporation of Generalized Sheet Transition Conditions (GSTCs) inside a conventional Yee-cell region has been proposed, for…

Applied Physics · Physics 2017-07-03 Tom. J. Smy , Scott Stewart , Shulabh Gupta

This paper compares Tensor Boundary Conditions (TBCs), which were introduced to model multilayered dielectric structures, with Generalized Sheet Transition Conditions (GSTCs), which have been recently used to model metasurfaces. It shows…

Applied Physics · Physics 2020-01-08 Mojtaba Dehmollaian , Guillaume Lavigne , Christophe Caloz

The bianisotropic susceptibility Generalized Sheet Transition Conditions (GSTCs) synthesis method is extended from planar to spherical metasurfaces. Properties specific to the non-zero intrinsic curvature of the spherical shape are…

Applied Physics · Physics 2017-12-29 Xiao Jia , Yousef Vahabzadeh , Fan Yang , Christophe Caloz

A simple method to describe spatially dispersive metasurfaces is proposed where the angle-dependent surface susceptibilities are explicitly used to formulate the zero thickness sheet model of practical metasurface structures. It is shown…

Applied Physics · Physics 2021-08-17 João G. Nizer Rahmeier , Tom J. Smy , Jordan Dugan , Shulabh Gupta

An Integral Equation (IE) based field solver to compute the scattered fields from spatially dispersive metasurfaces is proposed and numerically confirmed using various examples involving physical unit cells. The work is a continuation of…

Applied Physics · Physics 2021-09-21 Tom J. Smy , João G. Nizer Rahmeier , Jordan Dugan , Shulabh Gupta

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…

Optics · Physics 2017-11-01 Yousef Vahabzadeh , Nima Chamanara , Karim Achouri , Christophe Caloz

We derive generalized sheet transition conditions (GSTCs) including dipoles and quadrupoles, using generalized functions (distributions). This derivation verifies that the GSTCs are valid for metasurfaces in non-homogeneous environments,…

Optics · Physics 2023-07-19 Ville Tiukuvaara , Olivier J. F. Martin , Karim Achouri

Metasurfaces are efficient and versatile electromagnetic structures that have already enabled the implementation of a wide range of microwave and photonic wave shaping applications. Despite the extensive research into metasurfaces, a…

Optics · Physics 2026-03-16 Mustafa Yücel , Francisco S. Cuesta , Karim Achouri

We present a spectral-domain (SD) technique for the efficient analysis of metasurfaces. The metasurface is modeled by generalized sheet transition conditions (GSTCs) as a zero-thickness sheet creating a discontinuity in the electromagnetic…

Optics · Physics 2017-11-22 Nima Chamanara , Karim Achouri , Christophe Caloz

Fresnel reflection has been known for centuries to fundamentally impede efficient transmittance across planar interfaces, especially at grazing incidence. Herein, we present the generalized Huygens' condition (GHC) to resolve such…

Applied Physics · Physics 2024-08-09 Amit Shaham , Ariel Epstein

The general approach in metasurface design is to find the unit-cell properties required to achieve a given functionality. This is usually done by modeling the metasurface as a combination of surface electric and magnetic polarization…

Optics · Physics 2025-08-22 Francisco S. Cuesta , Karim Achouri
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