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Related papers: Generalized effective-medium theory for metamateri…

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The properties of artificial isotropic microwave composites which would possess simultaneously negative permittivity and permeability are studied theoretically. Four kinds of composites are considered. Two of them concern media with…

Materials Science · Physics 2015-06-24 C. R. Simovski , B. Sauviac

We derive exact nonlocal expressions for the effective dielectric constant tensor ${\boldsymbol \varepsilon}_e({\bf k}_I, \omega)$ of disordered two-phase composites and metamaterials from first principles. This formalism extends the…

Soft Condensed Matter · Physics 2021-04-07 Salvatore Torquato , Jaeuk Kim

Metamaterials are artificial composite structures designed for controlling waves or fields, and exhibit interaction phenomena that are unexpected on the basis of their chemical constituents. These phenomena are encoded in effective material…

Materials Science · Physics 2015-12-21 Mihai Caleap , Bruce W Drinkwater

An effective-medium theory is proposed for random weakly nonlinear dielectric media. It is based on a new gaussian approximation for the probability distributions of the electric field in each component of a multi-phase composite. These…

Materials Science · Physics 2008-04-17 Yves-Patrick Pellegrini

Here, we present an overview of recent developments in the characterization of electromagnetic and quantum metamaterials using effective medium methods. It is highlighted that both electromagnetic and electronic systems can be homogenized…

Mesoscale and Nanoscale Physics · Physics 2017-11-23 Mario G. Silveirinha

We use a homogenization procedure for Maxwell's equations in order to obtain in the local limit the frequency ($\omega$) dependent macroscopic dielectric response $\epsilon^M(\omega)$ of metamaterials made of natural constituents with any…

We derive the homogenization limit for time harmonic Maxwell's equations in a periodic geometry with periodicity length $\eta>0$. The considered meta-material has a singular sub-structure: the permittivity coefficient in the inclusions…

Analysis of PDEs · Mathematics 2015-09-03 Agnes Lamacz , Ben Schweizer

Dispersion lies at the heart of real-time signal processing systems across the entire electromagnetic spectrum from radio to optics. However, the performance and applicability of such systems have been severely plagued by distortions due to…

Optics · Physics 2016-01-08 Shulabh Gupta , Christophe Caloz

To design a uniaxial anisotropic metamaterial a layered cylindrical metamaterial is introduced for TE polarization. Unlike to the previous work, which the layers were in radial direction, here the layers are in azimuthal direction.…

Optics · Physics 2017-10-11 M. R. Forouzeshfard , Masoud Mohebbi , Aliyeh Mollaei

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

In the frame of volume integral equation methods, we introduce an alternative representation of the electromagnetic field scattered by a homogeneous object of arbitrary shape at a given frequency, in terms of a set of modes independent of…

In the work, a modified effective medium theory is constructed for calculating the effective properties of thermoelectric composites with different values of percolation thresholds. It is shown that even at concentrations beyond the…

Materials Science · Physics 2020-06-23 Snarskii Andrei , Yuskevich Pavel

Approximating the frequency dispersion of the permittivity of materials with simple analytical functions is of fundamental importance for understanding and modeling their optical properties. Quite generally, the permittivity can be treated…

Optics · Physics 2017-05-16 Hame S Sehmi , Wolfgang Langbein , Egor A Muljarov

A method for determining the permittivity and permeability for specimens with high refractive index and variable shape is investigated. The method extracts the permeability and permittivity tensor elements from reflection measurements made…

Instrumentation and Detectors · Physics 2016-01-29 Mark M. Scott , Daniel L. Faircloth , Jeffrey A. Bean , Kenneth W. Allen

Electromagnetic (EM) composites have stimulated tremendous fundamental and practical interests owing to their flexible electromagnetic properties and extensive potential engineering applications. Hence, it is necessary to systematically…

Optics · Physics 2022-09-21 Faxiang Qin , Mengyue Peng , Diana Estevez , Christian Brosseau

A possibility to realize isotropic artificial backward-wave materials is theoretically analyzed. An improved mixing rule for the effective permittivity of a composite material consisting of two sets of resonant dielectric spheres in a…

Materials Science · Physics 2015-06-25 L. Jylha , I. Kolmakov , S. Maslovski , S. Tretyakov

The quantum optics of metamaterials starts with the question whether the same effective-medium theories apply as in classical optics. In general the answer is negative. For active plasmonics but also for some passive metamaterials, we show…

Quantum Physics · Physics 2023-01-27 Ehsan Amooghorban , Martijn Wubs

We discuss optical constants in artificial metamaterials showing negative magnetic permeability and electric permittivity. Using effective field theory, we calculate effective permeability of nanofabricated media composed of pairs of…

Optics · Physics 2009-11-11 A. N. Grigorenko

Elastic quantum bound-state reflection from a hard-wall boundary provides direct information regarding the structure and compressibility of quantum bound states. We discuss elastic quantum bound-state reflection and derive a general theory…

Nuclear Theory · Physics 2013-01-18 Michelle Pine , Dean Lee

This paper is concerned with the analysis of time-harmonic electromagnetic scattering from plasmonic inclusions in the finite frequency regime beyond the quasi-static approximation. The electric permittivity and magnetic permeability in the…

Analysis of PDEs · Mathematics 2019-01-29 Hongjie Li , Shanqiang Li , Hongyu Liu , Xianchao Wang