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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

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

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

Electromagnetic metasurfaces offer the capability to realize almost arbitrary power conserving field transformations. These field transformations are governed by the generalized sheet transition conditions, which relate the tangential…

Applied Physics · Physics 2020-11-19 Stewart Pearson , Sean V. Hum

Modeling of spherical metasurfaces using Generalized Sheet Transition Conditions (GSTCs) and Vector Wave Function (VWF) expansion is presented. The fields internal and external to the metasurface is expanded in terms of spherical VWFs and…

Classical Physics · Physics 2019-06-26 Srikumar Sandeep , Shao Ying Huang

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

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…

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

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

While metasurfaces (MSs) are constructed from deeply-subwavelength unit cells, they are generally electrically large and full-wave simulations of the complete structure are computationally expensive. Thus, to reduce this high computational…

Applied Physics · Physics 2021-08-16 Ville Tiukuvaara , Tom. J. Smy , Karim Achouri , Shulabh Gupta

In this paper the interface between two transformation media or between a transformation medium and vacuum is studied. Strictly from the transformation optics point of view the consequences of the boundary conditions at such interfaces are…

Optics · Physics 2010-01-18 L. Bergamin

We give a general family of electromagnetic boundary conditions applicable to arbitrary space--time interfaces between electromagnetic media, which include the known space--only and time--only boundary conditions as special cases. These…

Optics · Physics 2025-07-09 Jonathan Gratus , Simon A. R. Horsley , Martin W. McCall

Electromagnetic field propagation through a transition layer between the positive-index and negative-index materials with linearly changing dielectric permittivity and magnetic permeability was investigated. It is shown that at oblique…

Electromagnetic invisibility, defined as reflectionless transmission with zero phase delay, imposes strict constraints on metasurface designs that go beyond conventional reflection suppression based on the Kerker effect. This condition can…

Optics · Physics 2026-04-23 Mustafa Yücel , Karim Achouri

An explicit time-domain finite-difference technique for modelling zero-thickness Huygens' metasurfaces based on Generalized Sheet Transition Conditions (GSTCs), is proposed and demonstrated using full-wave simulations. The Huygens'…

Optics · Physics 2016-09-20 Tom J. Smy , Shulabh Gupta

We study paramagnetic - ferromagnetic transition due to exchange interaction between classical localized magnetic moments and conduction electrons. We formulate the Dynamical Mean Field Approximation equations for arbitrary electron…

Statistical Mechanics · Physics 2009-11-07 Eugene Kogan , Mark Auslender

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

This report is dedicated to the construction and analysis of so-called Generalized Impedance Boundary Conditions (GIBCs) used in electromagnetic scattering problems from imperfect conductors as higher order approximations of a perfect…

Analysis of PDEs · Mathematics 2008-01-07 Houssem Haddar , Patrick Joly , Hoai Minh Nguyen

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

Within the framework of mean field theory, we examine the phase transitions in Ising magnetic films and superlattices. By transfer matrix method, we derive two general nonlinear equations for phase transition temperatures of Ising magnetic…

Materials Science · Physics 2009-10-31 Xiao-Guang Wang , Shao-Hua Pan , Guo-Zhen Yang