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Related papers: Time-dependent high-contrast subwavelength resonat…

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We study wave propagation through a one-dimensional array of subwavelength resonators with periodically time-modulated material parameters. Focusing on a high-contrast regime, we use a scattering framework based on Fourier expansions and…

Optics · Physics 2025-07-16 Erik Orvehed Hiltunen , Liora Rueff

Photonic time-varying systems have attracted significant attention owing to their rich physics and potential opportunities for new and enhanced functionalities. In this context, the duality of space and time in wave physics has been…

Optics · Physics 2022-09-13 Zeki Hayran , Jacob B. Khurgin , Francesco Monticone

Exotic forms of wave control have been emerging by engineering matter in space and time. In this framework, temporal photonic interfaces, i.e., abrupt changes in the electromagnetic properties of a material, have been shown to induce…

For autonomous systems it is well known how to extract tunneling probabilities from wavepacket calculations. Here we present a corresponding approach for periodically time-dependent Hamiltonians, valid at all frequencies, field strengths,…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Frank Grossmann

Spatial gaps correspond to the projection in position space of the gaps of a periodic structure whose envelope varies spatially. They can be easily generated in cold atomic physics using finite-size optical lattice, and provide a new kind…

Quantum Gases · Physics 2016-07-07 F. Damon , G. Condon , P. Cheiney , A. Fortun , B. Georgeot , J. Billy , D. Guery-Odelin

We study composite assemblages of dielectrics and metamaterials with respectively positive and negative material parameters. In the continuum case, for a scalar equation, such media may exhibit so-called plasmonic resonances for certain…

Analysis of PDEs · Mathematics 2024-07-30 Kaïs Ammari , Eric Bonnetier , Alessandro Duca

Local constitutive relations, i.e. a weak spatial dispersion, are usually considered in the effective description of metamaterials. However, they are often insufficient and effects due to a nonlocality, i.e. a strong spatial dispersion, are…

Classical Physics · Physics 2017-10-11 Andrii Khrabustovskyi , Karim Mnasri , Michael Plum , Christian Stohrer , Carsten Rockstuhl

We present a planar design of a metamaterial exhibiting electromagnetically induced transparency that is amenable to experimental verification in the microwave frequency band. The design is based on the coupling of a split-ring resonator…

Materials Science · Physics 2010-11-23 Philippe Tassin , Lei Zhang , Thomas Koschny , E. N. Economou , C. M. Soukoulis

We reveal the unique and fundamental advantage of inerter-based elastic metamaterials by a comparative study among different configurations. When the embedded inerter is connected to the matrix material on both ends, the metamaterial shows…

Applied Physics · Physics 2022-11-15 Faisal Jamil , Fei Chen , Bolei Deng , Robert G. Parker , Pai Wang

Using the time periodic ABCD parameters, an expression for the dispersion relation of space-time modulated structures is obtained. The relation is valid for general structures even when the spatial granularity is comparable to the operating…

Applied Physics · Physics 2023-07-19 Sameh Y. Elnaggar , Gregory N. Milford

Wave phenomena in bianisotropic media have been broadly scrutinized in classical electrodynamics, as these media offer additional degrees of freedom to engineer electromagnetic waves. However, all investigations concerning such systems have…

Optics · Physics 2023-11-02 M. S. Mirmoosa , M. H. Mostafa , A. Norrman , S. A. Tretyakov

This paper details a class of metal-based space-time metasurfaces for application in wireless communications scenarios. Concretely, we describe space-time metasurfaces that periodically alternate their properties in time between three…

Multi-layered structures are widely used in the construction of metamaterial devices to realize various cutting-edge waveguide applications. This paper makes several contributions to the mathematical analysis of subwavelength resonances in…

Analysis of PDEs · Mathematics 2025-04-09 Youjun Deng , Lingzheng Kong , Yongjian Liu , Liyan Zhu

Magnetic metamaterials consist of magnetic resonators smaller in size than their excitation wavelengths. Their unique electromagnetic properties were characterized by the effective media theory at the early stage. However, the effective…

Optics · Physics 2015-05-13 H. Liu , Y. M. Liu , T. Li , S. M. Wang , S. N. Zhu , X. Zhang

The optical properties of periodic electromagnetic metamaterials are considered as functions of their relative unit cell size $d / \lambda$. The reflection $R$ and transmission $T$ coefficients are numerically calculated for some realistic…

Optics · Physics 2023-01-10 Victor V. Gozhenko

Interference patterns associated with soliton-soliton interaction are investigated in detail. We find that the temporal and spatial interference patterns exhibit quite different characteristics. The period of the spatial interference…

Pattern Formation and Solitons · Physics 2017-02-20 Li-Chen Zhao , Liming Ling , Zhan-Ying Yang , Jie Liu

The duality of space and time in Maxwell's equations has prompted interest in time boundaries and the accompanying temporal analog of spatial reflection and refraction. However, achieving observable time boundary effects at optical…

Optics · Physics 2023-03-27 Olivia Y. Long , Kai Wang , Avik Dutt , Shanhui Fan

Time-varying networks, consisting of lumped elements, such as resistors, capacitors, and inductors, actively modulated in time, have introduced a host of novel wave phenomena and witnessed a remarkable development during recent years. This…

We study scattering resonances of finite one-dimensional systems of high-contrast resonators beyond the subwavelength regime. Introducing a novel tridiagonal frequency-dependent capacitance matrix, we derive quantitative asymptotic…

Analysis of PDEs · Mathematics 2026-04-02 Habib Ammari , Bowen Li , Ping Liu , Yingjie Shao

We analyze nonlinear properties of microstructured materials with negative refraction, the so-called left-handed metamaterials. We consider a two-dimensional periodic structure created by arrays of wires and split-ring resonators embedded…

Materials Science · Physics 2007-05-23 Alexander A. Zharov , Ilya V. Shadrivov , Yuri S. Kivshar
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