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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

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

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

We investigate the possibility to model a metasurface, defined as a zero-thickness sheet of surface polarization currents, by a thin slab, characterized by a subwavelength thickness and usual voluminal medium parameters. First, we elaborate…

Applied Physics · Physics 2020-05-05 Mojtaba Dehmollaian , Yousef Vahabzadeh , Karim Achouri , Christophe Caloz

Using the multiple-scale homogenization method, we derive generalized sheet transition conditions (GSTCs) for electromagnetic fields at the surface of a metafilm. The scatterers that compose the metafilm are of arbitrary shape and are…

Optics · Physics 2016-11-23 Christoper L. Holloway , Edward F. Kuester

An Integral Equation (IE) based electromagnetic field solver using metasurface susceptibility tensors is proposed and validated using variety of numerical examples in 2D. The proposed method solves for fields generated by the metasurface…

Computational Physics · Physics 2022-06-29 Tom. J. Smy , Ville Tiukuvaara , Shulabh Gupta

Space-time modulation induced non-reciprocity in EM metasurfaces is proposed and numerically demonstrated using rigorous Generalized Sheet Transitions Conditions (GSTCs) under oblique plane-wave incidence. It is phenomenologically shown…

Optics · Physics 2017-04-03 Shulabh Gupta , Scott. A. Stewart , Tom J. Smy

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

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 modeling of circular cylindrical metasurfaces using Method of Moments (MoM) based on Generalized Sheet Transition Conditions (GSTCs) is presented. GSTCs are used to link the integral equations for fields on the inner and outer contour of…

Computational Physics · Physics 2018-04-11 Srikumar Sandeep , Shao Ying Huang

This paper theoretically proposes a multichannel functional metasurface computer characterized by Generalized Sheet Transition Conditions (GSTCs) and surface susceptibility tensors. The study explores a polarization- and angle-multiplexed…

Optics · Physics 2019-06-26 Ali Momeni , Hamid Rajabalipanah , Ali Abdolali , Karim Achouri

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

This paper presents space-time varying (STV) metasurfaces for simultaneously controlling the spatial and temporal spectra of electromagnetic waves. These metasurfaces transform incident electromagnetic waves into specified reflected and…

Optics · Physics 2019-04-02 Nima Chamanara , Yousef Vahabzadeh , Christophe Caloz

A systematic numerical framework based on Integral Equations and Generalized Sheet Transition Conditions (IE-GSTCs) is presented in 2D to synthesize closed metasurface holograms and skins for creating electromagnetic illusions of specified…

Applied Physics · Physics 2020-07-16 Tom J. Smy , Shulabh Gupta

With the advent of new fabrication technologies, time-varying metasurfaces have emerged as novel platforms for exotic waveform shaping in microwaves and optics, providing an additional degree of freedom to design dynamically controllable…

Optics · Physics 2025-03-18 Suat Barış İplikçioğlu , M. I. Aksun

This paper presents the analysis of metasurfaces, here called reconfigurable intelligent surface. The analysis is performed by numerical simulations that implement the finite-difference time-domain method. The metasurface has been modeled…

Applied Physics · Physics 2023-09-25 Emanuel Colella , Luca Bastianelli , Valter Mariani Primiani , Franco Moglie

This paper presents a time domain (TD) formulation for modeling the transient electromagnetic response of two-dimensional (2D) metasurfaces using the Method of Auxiliary Sources (MAS) combined with the Generalized Sheet Transition Condition…

Computational Physics · Physics 2026-05-11 Minas Kouroublakis , Nikolaos L. Tsitsas , Yehuda Leviatan

In this work, we present a numerical method that remedies the instabilities of the conventional FDTD approach for solving Maxwell's equations in a space-time dependent magneto-electric medium with direct application to the simulation of the…

Optics · Physics 2015-06-18 Jason Cornelius , Jinjie Liu , Moysey Brio

This paper presents a technique, combining the integral equations (IE) and the Generalized Sheet Transition Conditions (GSTCs) with bianisotropic susceptibility tensors, to compute electromagnetic wave scattering by cylindrical metasurfaces…

Computational Physics · Physics 2019-06-26 Mojtaba Dehmollaian , Nima Chamanara , Christophe Caloz

Inverse design of large-area metasurfaces can potentially exploit the full parameter space that such devices offer and achieve highly efficient multifunctional flat optical elements. However, since practically useful flat optics elements…