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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

Implementations of the Bruggeman and Maxwell Garnett homogenization formalisms were developed to estimate the relative permittivity dyadic of a homogenized composite material (HCM), namely $\underline{\underline{\epsilon}}^{\rm HCM}$,…

光学 · 物理学 2025-04-07 Héctor M. Iga-Buitrón , Tom G. Mackay , Akhlesh Lakhtakia

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

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

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

The Bruggeman formalism provides an estimate of the effective permittivity of a particulate composite medium comprising two component mediums. The Bruggeman estimate is required to lie within the Wiener bounds and the Hashin-Shtrikman…

光学 · 物理学 2009-11-10 T. G. Mackay , A. 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 provides an estimate of the effective permittivity of a composite material comprising two constituent materials, with each constituent material being composed of electrically small particles. When one of the…

光学 · 物理学 2007-05-23 Tom G. Mackay

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 Bergman-Milton bounds provide limits on the effective permittivity of a composite material comprising two isotropic dielectric materials. These provide tight bounds for composites arising from many conventional materials. We reconsider…

光学 · 物理学 2015-06-26 Andrew J. Duncan , Tom G. Mackay , Akhlesh Lakhtakia

We report on a strategy for achieving negative phase velocity (NPV) in a homogenized composite medium (HCM) conceptualized using the Bruggeman formalism. The constituent material phases of the HCM do not support NPV propagation. The HCM and…

光学 · 物理学 2007-05-23 Tom G. Mackay , Akhlesh Lakhtakia

Two different formalisms for the homogenization of composite materials containing oriented ellipsoidal particles of isotropic dielectric materials are being named after Bruggeman. Numerical studies reveal clear differences between the two…

光学 · 物理学 2015-06-03 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

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

The classical differential mixing rules are assumed to be independent effective-medium approaches, applicable to certain classes of systems. In the present work, the inconsistency of differential models for macroscopically homogeneous and…

其他凝聚态物理 · 物理学 2018-02-20 A. K. Semenov

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

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…

光学 · 物理学 2015-12-22 Tom G. Mackay , Akhlesh Lakhtakia

Nowadays, nonhomogeneous and periodic ferromagnetic materials are the subject of a growing interest. Actually such periodic configurations often combine the attributes of the constituent materials, while sometimes, their properties can be…

偏微分方程分析 · 数学 2016-02-17 François Alouges , Giovanni Di Fratta

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

We use a new approach to derive dielectric mixing rules for macroscopically homogeneous and isotropic multicomponent mixtures of anisotropic inhomogeneous dielectric particles. Two factors of anisotropy are taken into account, the shape of…

材料科学 · 物理学 2015-05-13 M. Ya. Sushko
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