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The homogenization of a composite material comprising three isotropic dielectric materials was investigated. The component materials were randomly distributed as spherical particles, with the particles of two of the component materials…

光学 · 物理学 2016-06-29 Tom G. Mackay , Akhlesh Lakhtakia

A random mixture of two isotropic dielectric materials, one composed of oriented spheroidal particles of relative permittivity $\epsilon_a$ and the other composed of oriented spheroidal particles of relative permittivity $\epsilon_b$, was…

光学 · 物理学 2015-06-19 Tom G. Mackay

The Bruggeman formalism for the homogenization of particulate composite materials is used to predict the effective permittivity dyadic of a two-constituent composite material with one constituent having the ability to display the Pockels…

光学 · 物理学 2009-11-13 Akhlesh Lakhtakia , Tom G. Mackay

Closed-form expressions were recently derived for depolarization dyadics for truncated spheres and truncated spheroids, and the formalism was extended to truncated ellipsoids. These results were exploited to develop an implementation of the…

光学 · 物理学 2024-04-30 Tom G. Mackay , Akhlesh Lakhtakia

The Maxwell Garnett and Bruggeman formalisms were applied to estimate the effective permittivity dyadic of active dielectric composite materials. The active nature of the homogenized composite materials (HCMs) arises from one of the…

光学 · 物理学 2009-05-21 Tom G. Mackay , Akhlesh Lakhtakia

Under certain circumstances, the group velocity in a homogenized composite medium (HCM) can exceed the group velocity in its component material phases. We explore this phenomenon for a uniaxial dielectric HCM comprising isotropic component…

光学 · 物理学 2009-11-11 Tom G. Mackay , Akhlesh Lakhtakia

We consider an anisotropic homogenized composite medium (HCM) arising from isotropic particulate component phases based on ellipsoidal geometries. For cubically nonlinear component phases, the corresponding zeroth-order…

光学 · 物理学 2007-05-23 Tom G. Mackay

The Bruggeman formalism provides an estimate $\eps^{Br}_{hcm}$ of the relative permittivity of a homogenized composite material (HCM), arising from two component materials with relative permittivities $\eps_a$ and $\eps_b$. It can be…

光学 · 物理学 2015-05-18 Siti S. Jamaian , Tom G. Mackay

Homogenized composite materials (HCMs) can support a singular form of optical propagation, known as Voigt wave propagation, while their component materials do not. This phenomenon was investigated for biaxial HCMs arising from…

光学 · 物理学 2015-05-28 Tom G. Mackay

Expressions arising from the Bruggeman approach for the homogenization of dielectric-magnetic composite materials, without ignoring the sizes of the spherical particles, are presented. These expressions exhibit the proper limit behavior.…

经典物理 · 物理学 2007-05-23 A. Lakhtakia , T. G. Mackay

In a long wavelength regime, the effective properties of particulate composites, including nanocomposites, may be estimated using one of various homogenization formalisms, such as the Bruggeman and Maxwell Garnett formalisms, and the…

光学 · 物理学 2009-02-05 Tom G. Mackay

This paper presents a homogenization framework for elastomeric metamaterials exhibiting long-range correlated fluctuation fields. Based on full-scale numerical simulations on a class of such materials, an ansatz is proposed that allows to…

软凝聚态物质 · 物理学 2018-10-29 O. Rokoš , M. M. Ameen , R. H. J. Peerlings , M. G. D. Geers

Two different formalisms for the homogenization of composite materials containing ellipsoidal inclusions based on Bruggeman's original formula for spherical inclusions can be found in the literature. Both approximations determine the…

光学 · 物理学 2013-09-13 Daniel Schmidt , Mathias Schubert

Within the framework of quantum electrodynamics (QED), vacuum is a nonlinear medium which can be linearized for a rapidly time-varying electromagnetic field with a small amplitude subjected to a magnetostatic field. The linearized QED…

光学 · 物理学 2016-04-27 Tom G. Mackay , Akhlesh Lakhtakia

We perform a stochastic-homogenization analysis for composite materials exhibiting a random microstructure. Under the assumptions of stationarity and ergodicity, we characterize the Gamma-limit of a micromagnetic energy functional defined…

偏微分方程分析 · 数学 2023-06-26 Elisa Davoli , Lorenza D'Elia , Jonas Ingmanns

Dispersion properties of electromagnetic crystals formed by small uniaxial resonant scatterers (magnetic or electric) are studied using the local field approach. The goal of the study is to determine the conditions under which the…

材料科学 · 物理学 2009-11-11 Pavel A. Belov , Constantin R. Simovski

We show that artificial magnetism of periodic dielectric or metal/dielectric structures has limitations and is subject to at least two "uncertainty principles". First, the stronger the magnetic response (the deviation of the effective…

光学 · 物理学 2016-02-17 Igor Tsukerman , Vadim A. Markel

A unified homogenization procedure for split ring metamaterials taking into account time and spatial dispersion is introduced. The procedure is based on two coupled systems of equations. The first one comes from an approximation of the…

光学 · 物理学 2014-09-10 J. D. Baena , L. Jelinek , R. Marques , M. Silveirinha

Two active dielectric materials may be blended together to realize a homogenized composite material (HCM) which exhibits more gain than either component material. Likewise, two dissipative dielectric materials may be blended together to…

光学 · 物理学 2017-07-06 Tom G. Mackay , Akhlesh Lakhtakia

A composite material comprising randomly distributed spherical particles of two different isotropic dielectric-magnetic materials is homogenized using the second-order strong-property-fluctuation theory in the long-wavelength approximation.…

光学 · 物理学 2009-11-11 Tom G. Mackay , Akhlesh Lakhtakia
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