Numerical calculation of effective permittivity of lossless dielectric mixtures using boundary integral method

Ghosh, Prasanta Kumar; Azimi, M.

doi:10.1109/94.368637

Cited by 52 publications

(32 citation statements)

References 16 publications

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“…Numerous simulations confirmed the validity of the mixture formulas for regular structures when the mixtures were dilute [55,321,322,323,22,23,324,325,32,231,327,363]. For dilute random mixture the results were also similar [371,23,17] emphasizing the validity of the effective medium approximations at low inclusion concentrations.…”

Section: Previous Approachesmentioning

confidence: 72%

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Dielectric mixtures: electrical properties and modeling

Tuncer

Serdyuk

Gubanski

2002

IEEE Trans. Dielect. Electr. Insul.

274

154

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A review of current state of understanding of dielectric mixture properties and approaches to use numerical calculations for their modeling are presented. It is shown that interfacial polarization can yield different non-Debye dielectric responses depending on the properties of the constituents, their concentrations and geometrical arrangements. Future challenges on the subject are also discussed.

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Section: Previous Approachesmentioning

confidence: 72%

“…In this study, the effective medium properties of mixtures are calculated using the finite element method [317,55,286,319,320,321,322,20,323,22]. Similar approaches can also be found elsewhere [32,30,29,31,33,23,324,325,326,327,230,231,328,204].…”

Section: Previous Approachesmentioning

confidence: 99%

Dielectric mixtures: electrical properties and modeling

Tuncer

Serdyuk

Gubanski

2002

IEEE Trans. Dielect. Electr. Insul.

274

154

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“…The pronounced positive shift of U FL ( ca. 63 mV) for Au x /NP‐TNTA heterostructure relative to NP‐TNTAs implies a decrease in band bending edge evolving from the sensitization of Au x clusters, thus facilitating electron transfer from Au x clusters to NP‐TNTAs under light irradiation. Therefore, M‐S result suggests that Au x /NP‐TNTA heterostructure shows a faster carrier transfer than NP‐TNTAs which results in the significantly enhanced PEC performances.…”

Section: Resultsmentioning

confidence: 99%

Metal‐Cluster‐Decorated TiO₂ Nanotube Arrays: A Composite Heterostructure toward Versatile Photocatalytic and Photoelectrochemical Applications

Xiao

Hung

Miao

et al. 2014

Small

252

197

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Recent years have witnessed increasing interest in the solution-phase synthesis of atomically precise thiolate-protected gold clusters (Aux ); nonetheless, research on the photocatalytic properties of Aux -semiconductor nanocomposites is still in its infancy. In this work, recently developed glutathione-capped gold clusters and highly ordered nanoporous layer-covered TiO2 nanotube arrays (NP-TNTAs) are employed as nanobuilding blocks for the construction of a well-defined Aux /NP-TNTA heterostructure via a facile electrostatic self-assembly strategy. Versatile photocatalytic performances of the Aux /NP-TNTA heterostructure which acts as a model catalyst, including photocatalytic oxidation of organic pollutant, photocatalytic reduction of aromatic nitro compounds and photoelectrochemical (PEC) water splitting under simulated solar light irradiation, are systematically exploited. It is found that synergistic interaction stemming from monodisperse coverage of Aux clusters on NP-TNTAs in combination with hierarchical nanostructure of NP-TNTAs reinforce light absorption of Aux /NP-TNTA heterostructure especially within visible region, hence contributing to the significantly enhanced photocatalytic and PEC water splitting performances. Moreover, photocatalytic and PEC mechanisms over Aux /NP-TNTA heterostructure are elucidated and corresponding reaction models were presented. It is anticipated that this work could boost new insight for photocatalytic properties of metal-cluster-sensitized semiconductor nanocomposites.

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“…Recent works have shown that the BIE method could be successfully applied to compute the effective permittivity of periodic composite materials. 1,21 The basic scheme of the BIE method is now briefly recalled.…”

Section: B Principle Of the Numerical Approach For Periodic Compositmentioning

confidence: 99%

Effective dielectric constant of random composite materials

Sareni

Krähenbühl

Béroual

et al. 1997

Journal of Applied Physics

194

119

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http://jap.aip.org/The randomness in the structure of two-component dense composite materials influences the scalar effective dielectric constant, in the quasistatic limit. A numerical analysis of this property is developed in this paper. The computer-simulation models used are based on both the finite element method and the boundary integral equation method for two- and three-dimensional structures, respectively. Owing to possible anisotropy the orientation of spatially fixed inhomogeneities of permittivity epsilon(1), embedded in a matrix of permittivity epsilon(2), affects the effective permittivity of the composite material sample. The primary goal of this paper is to analyze this orientation dependence. Second, the effect of the components geometry on the dielectric properties of the medium is studied. Third the effect of inhomogeneities randomly distributed within a matrix is investigated. Changing these three parameters provides a diverse array of behaviors useful to understand the dielectric properties of random composite materials. Finally, the data obtained from this numerical simulation are compared to the results of previous analytical work

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Numerical calculation of effective permittivity of lossless dielectric mixtures using boundary integral method

Cited by 52 publications

References 16 publications

Dielectric mixtures: electrical properties and modeling

Dielectric mixtures: electrical properties and modeling

Metal‐Cluster‐Decorated TiO₂ Nanotube Arrays: A Composite Heterostructure toward Versatile Photocatalytic and Photoelectrochemical Applications

Effective dielectric constant of random composite materials

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Numerical calculation of effective permittivity of lossless dielectric mixtures using boundary integral method

Cited by 52 publications

References 16 publications

Dielectric mixtures: electrical properties and modeling

Dielectric mixtures: electrical properties and modeling

Metal‐Cluster‐Decorated TiO2 Nanotube Arrays: A Composite Heterostructure toward Versatile Photocatalytic and Photoelectrochemical Applications

Effective dielectric constant of random composite materials

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Metal‐Cluster‐Decorated TiO₂ Nanotube Arrays: A Composite Heterostructure toward Versatile Photocatalytic and Photoelectrochemical Applications