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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

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

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

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

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

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

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

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

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

We show that any pair of real symmetric tensors $\BGve$ and $\BGm$ can be realized as the effective electric permittivity and effective magnetic permeability of a metamaterial at a given fixed frequency. The construction starts with two…

光学 · 物理学 2015-05-18 Graeme W. Milton

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

Films produced by assembling bare gold clusters well beyond the electrical percolation threshold show a resistive switching behavior whose investigation has started only recently. Here we address the challenge to charaterize the resistance…

材料科学 · 物理学 2021-01-04 Walter Tarantino , Luciano Colombo

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…

仪器与探测器 · 物理学 2016-01-29 Mark M. Scott , Daniel L. Faircloth , Jeffrey A. Bean , Kenneth W. Allen

The intricate interplay between complex permittivity and permeability constitutes the cornerstone of electromagnetic (EM) applications, enabling precise customization for various uses. This study employed silver-epoxy nano-composites to…

应用物理 · 物理学 2025-03-27 Bo-Wei Tseng , Tsun-Hsu Chang

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…

光学 · 物理学 2014-05-01 Brian A. Slovick , Zhi Gang Yu , Srini Krishnamurthy

A dielectric columnar thin film (CTF), characterized macroscopically by a relative permittivity dyadic, was investigated theoretically with the assumption that, on the nanoscale, it is an assembly of parallel, identical, elongated…

光学 · 物理学 2015-05-14 Tom G. Mackay , Akhlesh Lakhtakia

We propose a theoretical approach for calculating effective electric and magnetic properties of composites with field-dependent restructuring of the filler. The theory combines the Bruggeman-Landauer approximation extended to a…

材料科学 · 物理学 2019-10-02 Andrei Snarskii , Denis Zorinets , Mikhail Shamonin , Viktor Kalita

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

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 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…

材料科学 · 物理学 2015-06-24 C. R. Simovski , B. Sauviac
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