Effective dielectric constant of random composite materials

Sareni, Bruno; Krähenbühl, Laurent; Béroual, Abderrahmane; Brosseau, Christian

doi:10.1063/1.364276

Cited by 193 publications

(126 citation statements)

References 20 publications

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“…[11][12][13][14][15] Needless to say, it is not a simple task for calculating the values of effective permittivity with anisotropic inclusions, [16][17][18][19][20][21][22][23][24] and the effective permittivity varies from different orientations of inclusions.…”

Section: Introductionmentioning

confidence: 99%

Studies of permittivity and permeability of dielectric matrix with cuboid metallic inclusions in different orientations

Njoku

Whittow

et al. 2014

J. Adv. Dielect.

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In this paper, we investigate the possibility of using the heterogeneous materials, with cuboid metallic inclusions inside a dielectric substrate (host) to control the effective permittivity. We find that in the gigahertz range, such a material demonstrates a significantly larger permittivity compared to the pure dielectric substrate. Three principal orientations of microscale cuboid inclusions have been taken into account in this study. The highest permittivity is observed when the orientation provides the largest polarization (electric dipole moment). The detrimental side effect of the metallic inclusion, which leads to the decrease of the effective magnetic permeability, can be suppressed by the proper choice of shape and orientation of the inclusions. This choice can in fact reduce the induced current and hence maximize the permeability. The dissipative losses are shown to be negligible in the relevant range of frequencies and cuboid dimensions.

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Section: Introductionmentioning

confidence: 99%

Studies of permittivity and permeability of dielectric matrix with cuboid metallic inclusions in different orientations

Njoku

Whittow

et al. 2014

J. Adv. Dielect.

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“…Simulations and analytical modeling performed with complex permittivities have investigated only properties at constant frequencies [24,[29][30][31][32][33][34], while very few articles concentrated on the frequency dispersion of binary mixtures [25,[35][36][37][38]. The beauty of investigating the frequency dependent properties of binary mixtures has been many folded; (i) information on system structural properties and how particle shape and dispersion influence the overall composite properties can be studied; (ii) fundamentals of dielectric relaxation and interacting systems can be investigated; (iii) the nature of real systems such as polymers, ionic liquids, etc.…”

Section: Introductionmentioning

confidence: 99%

Spectral density representation of dielectric mixtures

Tuncer

2012

Appl. Phys. A

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Dielectric relaxation has attracted lot of interest since the days of J.C. Maxwell. Although relaxation in pure, single materials is a puzzling topic, relaxation in mixtures has its own perplexing sides. However, with the help of spectral density representation, one has the possibility to separate contributions of the constituents and the geometrical composition of the mixture phases. Here, we will present the theory of dielectric mixtures with the spectral density representation. It will be shown that depending on the dielectric properties and geometrical description of the constituents different effective permittivity can be obtained for a chosen pair of mixture components-binary mixtures. The tools presented here can be used to better understand the dielectric properties of materials. The numerical implementations presented for immittance data can be used for various physical properties of heterogeneous materials. For mixtures, they provide great value in (i) designing the permittivity of a mixture composed of substances with known permittivities and geometrical composition (for device and insulation applications), (ii) calculating the permittivity of the second component of a two-component mixture when the permittivities of the mixture and the first component are known (for material and system characterization), and (iii) estimating the morphology of a two-component mixture when the permittivities of the mixture and each of the components are known (for microstructure and structure/property relationships).

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“…Most of the current studies based on numerical analysis of 2-D or 3-D structures with two constituents show that the effective properties of the mixture strongly depend on the volume fraction, its geometrical profile and spatial orientation in periodic or random arrangements [9,10]. It has been shown that the macroscopic properties of dielectric-only mixtures can be represented by a homogenous dielectric with an effective permittivity that is determined using an empirical mixing model [11].…”

Section: Introductionmentioning

confidence: 99%

Empirical Mixing Model for the Electromagnetic Compatibility Analysis of On-Chip Interconnects

Holik¹

2012

Dielectric Material

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Effective dielectric constant of random composite materials

Cited by 193 publications

References 20 publications

Studies of permittivity and permeability of dielectric matrix with cuboid metallic inclusions in different orientations

Studies of permittivity and permeability of dielectric matrix with cuboid metallic inclusions in different orientations

Spectral density representation of dielectric mixtures

Empirical Mixing Model for the Electromagnetic Compatibility Analysis of On-Chip Interconnects

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