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Related papers: Part 1: Spatially Dispersive Metasurfaces: Zero Th…

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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

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

We investigate the propagation of surface waves along a spatially dispersive graphene sheet, including substrate effects. The proposed analysis derives the admittances of an equivalent circuit of graphene able to handle spatial dispersion,…

Mesoscale and Nanoscale Physics · Physics 2013-09-03 J. S. Gomez-Diaz , J. R. Mosig , J. Perruisseau-Carrier

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

The flat metasurfaces described by tensor surface conductivity, the transverse size of which is small compared to the wavelength, are considered. In this case, we introduce two-dimensional surface conductivity for them, as well as for…

Mesoscale and Nanoscale Physics · Physics 2025-02-28 Michael V. Davidovich

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

In recent years, new functionality and unprecedented wavefront control has been enabled by the introduction of bianisotropic metasurfaces. A bianisotropic metasurface is characterized by an electric response, a magnetic response, and an…

Applied Physics · Physics 2022-09-07 Jordan Budhu , Anthony Grbic

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

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

Expanding the use of physical degrees of freedom to employ spatial multiplexing of data in optical communication is considered the most disruptive and effective solution to meet the capacity demand of the growing information traffic.…

The dielectric layers surrounding a metasurface have a large impact on its frequency and angular response. The notion of effective permittivity captures this dependence by suggesting that a layered dielectric environment will perturb…

Applied Physics · Physics 2024-10-24 Christopher T. Howard , William D. Hunt , Kenneth W. Allen

In this paper we suggest a simple analytical method for description of electromagnetic properties of a geometrically regular two-dimensional subwavelength arrays (metasurfaces) formed by particles with randomly fluctuating polarizabilities.…

We propose a surface-wave dispersion retrieval method and synthesis technique that applies to bianisotropic metasurfaces that are embedded in symmetric or asymmetric environments. Specifically, we use general zero-thickness sheet transition…

Optics · Physics 2019-05-01 Karim Achouri , Olivier J. F. Martin

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

The paper presents partial overview of the mathematical synthesis and the physical realization of metasurfaces, and related illustrative examples. The synthesis consists in determining the exact tensorial surface susceptibility functions of…

We derive general frequency dependencies of the surface impedance modulus for conductors without the dc dissipation, i. e. for superconductors or perfect conductors. The frequency-dependent surface impedance was applied for the solutions…

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…

Refraction represents one of the most fundamental operations that may be performed by a metasurface. However, simple phasegradient metasurface designs suffer from restricted angular deflection due to spurious diffraction orders. It has been…

Classical Physics · Physics 2017-06-13 Guillaume Lavigne , Karim Achouri , Viktar Asadchy , Sergei Tretyakov , Christophe Caloz

We derive the effective transmission condition for a cluster of acoustic subwavelength resonators, modeled as small-scaled bubbles distributed not necessarily periodically along a smooth, bounded hypersurface, which need not be flat. The…

Analysis of PDEs · Mathematics 2024-12-20 Arpan Mukherjee , Mourad Sini

Investigating dispersion surface morphology of sonic metamaterials is crucial in providing information on related phenomena as inertial coupling, acoustic transparency, polarisation, and absorption. In the present study, we look into…

Computational Physics · Physics 2017-07-10 V. N. Gorshkov , N. Navadeh , P. Sareh , V. V. Tereshchuk , A. S. Fallah