Microwave Measurements of Dielectric Constants by Exponential and Logarithmic Mixture Equations

Sheen, Jyh; Hong, Zuo-Wen; Su, Che-Wei; Chen, and Heng-Chou

doi:10.2528/pier09091706

Cited by 33 publications

(15 citation statements)

References 24 publications

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“…Conversely, the Lichtenecker Rother equation again conforms well to the form of the experimental data set (R 2 = 0.998), albeit that, in this case, the derived permittivity value of BaTiO 3 is lower than anticipated, at 520 ± 70. This result is, perhaps, less surprising than the very reasonable permittivity value determined for the PZT above, since it has been reported that, in general, effective medium theories do not conform to experiment across the complete composition range [8]. …”

Section: Permittivity and Composition Of Batio 3 -Based Compositessupporting

confidence: 50%

Dielectric studies of polystyrene-based, high-permittivity composite systems

Topham

Boorman

Hosier

et al. 2014

2014 IEEE Conference on Electrical Insulation and Dielectric Phenomena (CEIDP)

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In this paper, we report on a dielectric study of a series of composite systems based upon a polystyrene matrix (ε m ′ ~2.7) containing dispersed particles of lead zirconate titanate (PZT) and barium titanate (BaTiO 3 ) (in both cases, ε p ′ ~1000). These components were chosen to give a high dielectric contrast within the system and, because polystyrene is readily etched using permanganic reagents, the size and distribution of particles within the matrix could be readily determined by scanning electron microscopy. We report on the effect of composition on the effective permittivity of the composite; the precise composition of each system was determined by thermogravimetric analysis. The results obtained are compared with theoretical models. We show that, in systems with high dielectric contrast between the matrix and the particles, the variation in relative permittivity with filler loading is best described by the Lichtenecker Rother model.

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Section: Permittivity and Composition Of Batio 3 -Based Compositessupporting

confidence: 50%

Dielectric studies of polystyrene-based, high-permittivity composite systems

Topham

Boorman

Hosier

et al. 2014

2014 IEEE Conference on Electrical Insulation and Dielectric Phenomena (CEIDP)

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“…To do this, the analysis method and theoretical accuracy on six basic mixture laws derived from three basic particle shapes of ceramic fillers has been reported for dielectric constants of ceramic less than 40 at microwave frequency [22]. Similar researches have been done for other well known mixture rules [23]. They have shown that both the physical curve matching with experimental results and low potential theory error are important to promote the calculation accuracy.…”

Section: Introductionmentioning

confidence: 93%

Microwave dielectric constant measurements of strontium titanate using five mixture equations

Sheen

Wang

2013

2013 Joint IEEE International Symposium on Applications of Ferroelectric and Workshop on Piezoresponse Force Microscopy (ISAF/P

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The microwave dielectric constant of strontium titanate ceramic dispersed in the polyethylene matrix is studied by powder mixture equations in this article. The experimental dielectric constant values of the mixtures are compared to the theoretical curves of five published mixing rules. A new empirical mixture equation is proposed. The dielectric constant of pure strontium titanate is then estimated by these mixing laws from the dielectric constants of composites of various filler concentrations. The theoretical errors of estimations of various rules are derived and analyzed. The new empirical mixture equation has shown good accuracy for the dielectric constant measurement of strontium titanate.

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“…Various mixture equations have been proposed in the past to determine the effective complex permittivity of mixed dielectrics, and one of the generalized forms for the twophase mixture can be given by the Maxwell Garnett formula [6,9] [20][21][22][23][24] formulations for the two-phase media, which might provide improved values under certain conditions. However, most of these equations usually provide good results for powdered shaped materials where they can be assumed to be mixed homogenously.…”

Section: Proposed Mixing Formula For Slab Shaped Samples In Rectangulmentioning

confidence: 99%

Microwave effective permittivity of the layered dielectrics and composites using the nonlinear mixing model

Akhtar

Baskey

Ghising

et al. 2015

IEEE Trans. Dielect. Electr. Insul.

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This paper presents a novel mixing formula for computing the effective complex permittivity of layered dielectrics and composites in the microwave frequency range. The newly derived formula for the slab-shaped mixed dielectrics and composites is substantially different from other mixing equations present in the literature, as the proposed formula computes the effective permittivity in terms of the weighted volume ratio and the dielectric properties of the constituent materials. The weighted volume ratio takes into account the effect of the electric field configuration of microwave field interacting with the material under test. The applicability of the proposed mixing model is tested using both the simulated and the measured data for a number of cases. The effective complex permittivity of all the equivalent mixed dielectric samples computed using the proposed mixing formula matches quite well with the corresponding data measured in the microwave frequency range. Finally, the relative percentage error between the measured effective permittivity and its computed value using the proposed mixing formula is calculated in order to quantify the results.Index Terms -Dielectric constant, dielectric insulation, dielectric mixture equations, composite materials, weighted volumetric formula.

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Microwave Measurements of Dielectric Constants by Exponential and Logarithmic Mixture Equations

Cited by 33 publications

References 24 publications

Dielectric studies of polystyrene-based, high-permittivity composite systems

Dielectric studies of polystyrene-based, high-permittivity composite systems

Microwave dielectric constant measurements of strontium titanate using five mixture equations

Microwave effective permittivity of the layered dielectrics and composites using the nonlinear mixing model

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