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The formalism of the scattering matrix is applied to describe the transmission properties of multilayered structures with deep variations of the refractive index and arbitrary arrangements of the layers. We show that there is an exact…

Optics · Physics 2011-09-22 Victor Grigoriev , Fabio Biancalana

We analyze the reflection and transmission coefficients calculated from transfer matrix simulations on finite lenghts of electromagnetic metamaterials, to determine the effective permittivity and permeability. We perform this analysis on…

Classical Physics · Physics 2009-11-07 D. R. Smith , S. Schultz , P. Markos , C. M. Soukoulis

This paper explores the time-modulated waveguide setups for unique and accurate permittivity and permeability extraction of lossy dispersive samples with phase-less measurements. We theoretically demonstrate that when the position of the…

Applied Physics · Physics 2020-05-26 Sepideh Ghasemi , Hamid Rajabalipanah , Majid Tayarani , Ali Abdolali , Mohammad Baharian

We investigate analytically the coupling of a coplanar waveguide resonator to a coplanar waveguide feedline. Using a conformal mapping technique we obtain an expression for the characteristic mode impedances and coupling coefficients of an…

Signal Processing · Electrical Eng. & Systems 2018-05-24 Ilya Besedin , Alexey P. Menushenkov

We study the frequency dependence of the effective electromagnetic parameters of left-handed and related meta-materials of the split ring resonator and wire type. We show that the reduced translational symmetry (periodic structure) inherent…

Materials Science · Physics 2009-11-10 Th. Koschny , P. Markos , E. N. Economou , D. R. Smith , D. C. Vier , C. M. Soukoulis

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

Reflection and refraction of electromagnetic waves by artificial periodic composites (metamaterials) can be accurately modeled by an effective medium theory only if the boundary of the medium is explicitly taken into account and the two…

Optics · Physics 2013-09-24 Vadim A. Markel , Igor Tsukerman

Temporal metamaterials are artificially manufactured materials with time-dependent material properties that exhibit interesting phenomena when waves propagate through them. The propagation of electromagnetic waves in such time-varying…

Analysis of PDEs · Mathematics 2026-03-23 Christian Döding , Barbara Verfürth

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

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…

Backwards-wave (BW) materials that have simultaneously negative real parts of their electric permittivity and magnetic permeability can support waves where phase and power propagation occur in opposite directions. These materials were…

Materials Science · Physics 2007-05-23 Michael W. Feise , John B. Schneider , Peter J. Bevelacqua

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

Time-varying metamaterials are artificial materials whose electromagnetic properties change over time. Similar to a spatial medium discontinuity, a sudden change in time of the metamaterial refractive index induces the generation of a…

Classical Physics · Physics 2025-02-06 Davide Ramaccia , Alessandro Toscano , Filiberto Bilotti

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

In order to confine waves beyond the diffraction limit, advances in fabrication techniques have enabled subwavelength structuring of matter, achieving near-field control of light and other types of waves. The price is often expensive…

Applied Physics · Physics 2020-09-23 Emanuele Galiffi , Yao-Ting Wang , Zhen Lim , J. B. Pendry , Andrea Alù , Paloma A. Huidobro

A central aim in metamaterial research is to engineer sub-wavelength unit cells that give rise to desired effective-medium properties and parameters, such as a negative refractive index. Ideally one can disregard the details of the unit…

Mesoscale and Nanoscale Physics · Physics 2013-04-10 Ehsan Amooghorban , N. Asger Mortensen , Martijn Wubs

Relative bounds on radiation efficiency are established for time-modulated antenna systems where radiation is generated by broadband conduction currents impressed using idealized non-radiating time-varying subsystems, such as those found in…

Applied Physics · Physics 2020-12-30 Kurt Schab

Transfer matrix method is a well-known and extensively used tool to compute the reflection and transmission coefficients of electromagnetic waves when interacting with a system of layers parallel to each other. We present here a modified…

Optics · Physics 2017-03-14 Srinivas Ganganagunta

Temporal modulation of components of electromagnetic systems provides an exceptional opportunity to engineer the response of those systems in a desired fashion, both in the time and frequency domains. For engineering time-modulated systems,…

We investigate how Rayleigh waves interact with modulated resonators located on the free surface of a semi-infinite elastic medium. We begin by studying the dynamics of a single resonator with time-modulated stiffness. In particular, we…

Applied Physics · Physics 2020-10-16 Antonio Palermo , Paolo Celli , Behrooz Yousefzadeh , Chiara Daraio , Alessandro Marzani