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This paper provides a general framework for deriving effective material properties of one-dimensional, time-modulated systems of subwavelength resonators. It applies to subwavelength resonator systems with a general form of time-dependent…

Optics · Physics 2025-07-17 Habib Ammari , Jinghao Cao , Erik Orvehed Hiltunen , Liora Rueff

This paper studies time-dependent electromagnetic scattering from metamaterials that are described by dispersive material laws. We consider the numerical treatment of a scattering problem in which a dispersive material law, for a causal and…

Numerical Analysis · Mathematics 2023-11-08 Jörg Nick , Selina Burkhard , Christian Lubich

We present an effective medium description of time-modulated dielectric media. By taking the averaged fields over one modulation period, the relationship between them is derived, defining therefore the different constitutive parameters. In…

Optics · Physics 2021-01-04 Dani Torrent

Space-time metamaterials are redefining wave engineering by enabling fully dynamic four-dimensional control of electromagnetic fields, allowing simultaneous manipulation of frequency, amplitude, momentum, and propagation direction. This…

Optics · Physics 2025-11-26 Sajjad Taravati

Static metasurfaces have shown to be prominent compact structures for reciprocal and frequency-invariant transformation of electromagnetic waves in space. However, incorporating temporal variation to static metasurfaces would result in…

Applied Physics · Physics 2020-11-18 Sajjad Taravati , George V. Eleftheriades

Diffusion metamaterials with artificial spatial structures have significant potential in controlling energy and mass transfer. Those static structures may lead to functionality and tunability constraints, impeding the application scope of…

Applied Physics · Physics 2024-05-30 Jinrong Liu , Liujun Xu , Jiping Huang

Temporal metamaterials have been recently exploited as a novel platform for conceiving several electromagnetic and optical devices based on the anomalous scattering response arising at a single or multiple sudden changes of the material…

We experimentally demonstrate at terahertz frequencies that a planar metamaterial exhibits a spectral response resembling electromagnetically induced transparency. The metamaterial unit cell consists of a split ring surrounded by another…

An ensemble of resonators arranged on a sub-wavelength scale is usually considered as a bulk effective medium, known as a metamaterial, and can offer unusual macroscopic properties. Here, we take a different approach and limit ourselves to…

Optics · Physics 2019-10-09 S. Metais , G. Lerosey , F. Lemoult

Metamaterials are artificially created media, which allow introducing additional degrees of freedom into electromagnetic design by controlling constitutive material parameters. Reconfigurable time-dependent metamaterials can further enlarge…

We study time-harmonic scattering by a periodic array of penetrable, high-contrast obstacles with small period, confined to a bounded Lipschitz domain. The strong contrast between the obstacles and the background induces subwavelength…

Analysis of PDEs · Mathematics 2025-10-15 Yuxin Du , Xin Fu , Wenjia Jing

Metamaterials and metasurfaces are designed by periodically arranged subwavelength geometries, allowing a tailored manipulation of the electromagnetic response of matter. Here, we exploit temporal variations of permittivity inside…

Optics · Physics 2025-09-24 Victor Pacheco-Peña , Nader Engheta

Nanostructures with one-dimensional periodicity, such as multilayered structures, are currently in the focus of active research in the context of hyperbolic metamaterials and photonic topological structures. An efficient way to describe the…

Optics · Physics 2020-02-26 Maxim A. Gorlach , Mikhail Lapine

We explore the hybridization of fundamental material resonances with the artificial resonances of metamaterials. A hybrid structure is presented in the waveguide environment that consists of a resonant magnetic material with a…

Materials Science · Physics 2008-10-28 Jonah N. Gollub , David R. Smith , Juan D. Baena

As time can be introduced as an additional degree of freedom, temporal metamaterials nowadays open up new avenues for wave control and manipulation. Among these advancements, temporal metamaterial-based antireflection coatings have recently…

Optics · Physics 2025-11-19 Haonan Hou , Kai Peng , Yangkai Wang , Jiarui Wang , Xudong Zhang , Ren Wang , Hao Hu , Jiang Xiong

Local resonance band gaps in acoustic metamaterials are widely known for their strong attenuation yet narrow frequency span. The latter limits the practical ability to implement subwavelength band gaps for broadband attenuation and has…

Applied Physics · Physics 2022-01-12 A. Stein , M. Nouh , T. Singh

Some basic properties of nonradiating systems are considered. A simple connection is established between the existence of residual electromagnetic potentials and the current density spectrum of the system. The properties of specific…

Classical Physics · Physics 2009-11-11 A. D. Boardman , K. Marinov , N. Zheludev , V. A. Fedotov

The goal of this paper is to relate the capacitance matrix formalism to the tight-binding approximation. By doing so, we open the way to the use of mathematical techniques and tools from condensed matter theory in the mathematical and…

Analysis of PDEs · Mathematics 2021-08-19 Habib Ammari , Francesco Fiorani , Erik Orvehed Hiltunen

Hyperbolic metamaterials were initially proposed in optics to boost radiation efficiencies of quantum emitters. Adopting this concept for antenna design can allow approaching long-standing challenges in radio physics. For example, impedance…

Applied Physics · Physics 2020-08-11 Ildar Yusupov , Dmitry Filonov , Tatyana Vosheva , Viktor Podolsky , Pavel Ginzburg

Time-varying media, characterized by dynamic or spacetime-modulated constitutive parameters such as permittivity and permeability, have recently emerged as a transformative paradigm for advanced wave control, transcending the constraints…

Optics · Physics 2026-04-20 Youxiu Yu , Hao Hu , Qianru Yang , Linyang Zou , Dongjue Liu , Hao Chi Zhang , Yu Luo