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Analytic representation formulas and power series are developed describing the band structure inside periodic photonic and acoustic crystals made from high contrast inclusions. Central to this approach is the identification and utilization…

Analysis of PDEs · Mathematics 2016-04-26 Robert Lipton , Robert Viator

Planar metamaterials with tailorable electromagnetic properties in the terahertz domain offer customized optics solutions that are needed for the development of imaging and spectroscopy systems. In particular, metamaterials carry the…

A metamaterial with frequency dependent double negative effective properties is constructed from a sub-wavelength periodic array of coated rods. Explicit power series are developed for the dispersion relation and associated Bloch wave…

Analysis of PDEs · Mathematics 2012-02-06 Yue Chen , Robert Lipton

Scattering experiments can be leveraged to extract the effective properties of a heterogeneous metamaterial slab based on multi-point measurements in surrounding media. In this technique, two measurements are made in the ambient media on…

Applied Physics · Physics 2023-07-14 Joshua Morris , Alireza V. Amirkhizi

We study the dependence of the retrieval parameters, such as the electric permittivity, the magnetic permeability and the index of refraction, $n$, on the size of the unit cell of a periodic metamaterial. The convergence of the retrieved…

Materials Science · Physics 2008-07-07 Jiangfeng Zhou , Thomas Koschny , Maria Kafesaki , Costas M. Soukoulis

While the design of always new metamaterials with exotic static and dynamic properties is attracting deep attention in the last decades, little effort is made to explore their interactions with other materials. This prevents the conception…

Applied Physics · Physics 2020-07-30 Gianluca Rizzi , Manuel Collet , Félix Demore , Bernhard Eidel , Patrizio Neff , Angela Madeo

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

We introduce a general implementation of the recently proposed homogenization theory [Tsukerman, J. Opt. Soc. Am. B 28, 577 (2011)] allowing one to retrieve all 36 linear constitutive parameters of any 3D metamaterial with parallelepipedal…

Optics · Physics 2011-06-07 Anders Pors , Igor Tsukerman , Sergey I. Bozhevolnyi

Although optical metamaterials that show artificial magnetism are mesoscopic systems, they are frequently described in terms of effective material parameters. But due to intrinsic nonlocal (or spatially dispersive) effects it may be…

We solve the wave equation with periodically time-modulated material parameters in a one-dimensional high-contrast resonator structure in the subwavelength regime exactly, for which we compute the subwavelength quasifrequencies numerically…

Analysis of PDEs · Mathematics 2024-01-04 Habib Ammari , Jinghao Cao , Erik Orvehed Hiltunen , Liora Rueff

This letter discusses the importance of the nature of local fields inside a unit cell of optical metamaterials in developing a valid effective medium theory. In particular, we apply the Meier-Wokaun procedure to derive a corrected version…

We develop a fast, accurate, and robust technique to model the electromagnetic response of a two-dimensional (2D) waveguide-fed metasurface aperture. The geometry under consideration consists of a parallel-plate waveguide with an array of…

Computational Physics · Physics 2018-08-01 Laura Pulido-Mancera , Mohammadreza F. Imani , Patrick T. Bowen , Nathan Kundtz , David R. Smith

We investigate the dispersion characteristics and the effective properties of acoustic waves propagating in a one-dimensional duct equipped with periodic thermoacoustic coupling elements. Each coupling element consists in a classical…

Mesoscale and Nanoscale Physics · Physics 2021-09-15 Haitian Hao , Carlo Scalo , Fabio Semperlotti

Metamaterials--artificially structured materials with tailored electromagnetic response--can be designed to have properties difficult to achieve with existing materials. Here we present a structured metamaterial, based on conducting split…

Optics · Physics 2009-11-10 D. R. Smith , J. J. Mock , A. F. Starr , D. Schurig

We develop a simple and reliable analytical model that allows describing the electromagnetic response of all-dielectric metasurfaces consisting of a single-layer array of high-permittivity spherical particles. By combining Mie theory with a…

Classical Physics · Physics 2020-12-21 Alessio Monti , Andrea Alù , Alessandro Toscano , Filiberto Bilotti

Periodic structures are a type of metamaterials in which their physical properties not only depend on the unit cell materials but also the way unit cells are arranged and interact with each other. Periodic structure have Interesting wave…

Computational Engineering, Finance, and Science · Computer Science 2019-03-08 Farhad Farzbod , Onome E. Scott-Emuakpor

Nanobeam electron diffraction can probe local structural properties of complex crystalline materials including phase, orientation, tilt, strain, and polarization. Ideally, each diffraction pattern from a projected area of a few unit cells…

We present an effective-medium model for calculating the frequency-dependent effective permittivity $\epsilon(\omega)$ and permeability $\mu(\omega)$ of metamaterial composites containing spherical particles with arbitrary permittivity and…

Optics · Physics 2014-05-01 Brian A. Slovick , Zhi Gang Yu , Srini Krishnamurthy

We derive and validate a set of coupled Bloch wave equations for analyzing the reflection and transmission properties of active semiconductor photonic crystal waveguides. In such devices, slow-light propagation can be used to enhance the…

Practical design parameters of resonant metamaterials, such as loss tangent, are derived in terms of the quality factor $Q$ of the resonant effective medium permeability or permittivity. Through electromagnetic simulations of loop-based…

Optics · Physics 2015-06-26 Steven A. Cummer , Bogdan-Ioan Popa , Thomas H. Hand