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Related papers: Effective Dielectric Response of Metamaterials

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By using an asymptotic analysis and numerical simulations, we derive and investigate a system of homogenized Maxwell's equations for conducting material sheets that are periodically arranged and embedded in a heterogeneous and anisotropic…

Numerical Analysis · Mathematics 2019-04-22 Matthias Maier , Marios Mattheakis , Efthimios Kaxiras , Mitchell Luskin , Dionisios Margetis

We develop a recursive computational procedure to efficiently calculate the macroscopic dielectric function of multi-component metamaterials of arbitrary geometry and composition within the long wavelength approximation. Although the…

Optics · Physics 2020-06-04 W. Luis Mochán , Raksha Singla , Lucila Juárez , Guillermo P. Ortiz

The geometric representation at a fixed frequency of the wavevector (or dispersion) surface $\omega(\vec k)$ for lossless, homogeneous dielectric--magnetic uniaxial materials is explored, when the elements of the relative permittivity and…

We consider meta materials made from a two-dimensional dielectric rod-type photonic crystal. The magnetic response is studied within the recently developed homogenization theory and we in particular study the effects of topology and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Niels Asger Mortensen , Sanshui Xiao , Didier Felbacq

We develop, from first principles, a general and compact formalism for predicting the electromagnetic response of a metamaterial with non-magnetic inclusions in the long wavelength limit, including spatial dispersion up to the second order.…

Optics · Physics 2015-06-03 Alessandro Ciattoni , Carlo Rizza

Anisotropic homogeneous metamaterials that are neither wholly dissipative nor wholly active at a specific frequency are permitted by classical electromagnetic theory. Well-established homogenization formalisms indicate that such a…

Optics · Physics 2015-12-22 Tom G. Mackay , Akhlesh Lakhtakia

The dielectric properties of metamaterials consisting of periodically arranged metallic nanoparticles of spherical shape are calculated by rigorously solving Maxwell's equations. Effective dielectric functions are obtained by comparing the…

Materials Science · Physics 2009-11-13 S. Riikonen , I. Romero , F. J. Garcia de Abajo

The use of metamaterial as a way to mitigate the negative effects of absorption in metals on the Purcell effect in metal-dielectric structures is investigated. A layered metal-dielectric structure is considered as an anisotropic medium in…

We will report on the electromagnetic response due to induced dipolar currents in metamaterials of 2-dimensional array of metallic elements. Used as frequency selectors, the metamaterial transmittance presents a single resonance in the…

Optics · Physics 2009-08-04 C. Rizza , E. Palange , P. Carelli , M. Ortolani , O. Limaj , A. Nucara , S. Lupi

We study time-harmonic Maxwell's equations in meta-materials that use either perfect conductors or high-contrast materials. Based on known effective equations for perfectly conducting inclusions, we calculate the transmission and reflection…

Analysis of PDEs · Mathematics 2018-09-25 Mario Ohlberger , Ben Schweizer , Maik Urban , Barbara Verfürth

We carry out the homogenization of time-harmonic Maxwell's equations in a periodic, layered structure made of two-dimensional (2D) metallic sheets immersed in a heterogeneous and in principle anisotropic dielectric medium. In this setting,…

Analysis of PDEs · Mathematics 2020-03-31 Matthias Maier , Dionisios Margetis , Antoine Mellet

We investigate the acoustic properties of meta-materials that are inspired by sound-absorbing structures. We show that it is possible to construct meta-materials with frequency-dependent effective properties, with large and/or negative…

Analysis of PDEs · Mathematics 2016-03-18 Agnes Lamacz , Ben Schweizer

We explain the Lorentz resonances in plasmonic crystals that consist of 2D nano dielectric inclusions as the interaction between resonant material properties and geometric resonances of electrostatic nature. One example of such plasmonic…

Optics · Physics 2021-12-22 Wei Li , Robert Lipton , Matthias Maier

We develop a modal method that solves Maxwell's equations in the presence of the linearized hydrodynamic correction. Using this approach, it is now possible to calculate the full diffraction for structures with period of the order of the…

Optics · Physics 2013-11-15 Avner Yanai , N. Asger Mortensen , Uriel Levy

It is now well established that the homogenization of a periodic array of parallel dielectric fibers with suitably scaled high permittivity can lead to a (possibly) negative frequency-dependent effective permeability. However this result…

Analysis of PDEs · Mathematics 2017-06-20 Guy Bouchitté , Christophe Bourel , Didier Felbacq

This paper focuses on the homogenization of high-contrast dielectric elastomer composites, materials that deform in response to electrical stimulation. The considered heterogeneous material consisting of an ambient material with inserted…

Analysis of PDEs · Mathematics 2024-12-17 Thuyen Dang , Yuliya Gorb , Silvia Jiménez Bolaños

A dielectric nonlinear response in model two-phase composites, prepared from a displacive ferroelectric material with a dominant dielectric response due to a single oscillator ferroelectric mode and a dielectric material, is characterized…

Materials Science · Physics 2018-06-26 Matej Hudak , Jana Tothova , Ondrej Hudak

The toroidal response is numerically investigated in a multifold double-ring metamaterials at the antibonding magnetic-dipole mode (i.e., antiparallel magnetic dipoles in one double-ring fold). This intriguing toroidal resonance in…

Optics · Physics 2012-12-27 Zheng-Gao Dong , Peigen Ni , Jie Zhu , Xiaobo Yin , X. Zhang

Metamaterials are composed of periodic subwavelength metal/dielectric structures that resonantly couple to the electric and/or magnetic components of the incident electromagnetic fields, exhibiting properties that are not found in nature.…

Optics · Physics 2016-11-29 Hou-Tong Chen , Antoinette J Taylor , Nanfang Yu

The plasmon response of metallic nanostructures is anticipated to exhibit nonlocal dynamics of the electron gas when exploring the true nanoscale. We extend the local-response approximation (based on Ohm's law) to account for a general…

Mesoscale and Nanoscale Physics · Physics 2014-03-04 N. Asger Mortensen
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