Fractional model of the dielectric dispersion

Contreras, Abraham Ortega; Rosales, J. J.; Cruz–Duarte, Jorge M.; Guía, M.

doi:10.1016/j.ijleo.2018.11.087

Cited by 14 publications

(4 citation statements)

References 19 publications

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“…However, the apparent conductivity of a polycrystalline material varies with the grain size because the GB volume fraction is changed. In contrast, the resistance of GB is inversely proportional to the grain size, because the number of grain boundaries per unit length, which are connected in series, increases with decreasing grain size [19][20][21][22]. Therefore, the portion of grain boundary resistance contributing to the total resistance of the sample increases with decreasing grain size.…”

Section: Resultsmentioning

confidence: 99%

Structure-Property Correlation in Ir Transparent Zinc Sulphide (Zns) Ceramics Under Chemical Vapour Deposited & Hot Iso-Statically Pressed Conditions

2019

AMSE

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IR Transparent ZnS ceramics processed through chemical vapour deposition were subjected to Hot Isostatic pressing and the samples in both the conditions were characterized by XRD, microstructure and high temperature impedance spectroscopic studies for the dielectric and electrical properties. Both the samples have shown cubic sphalerite phase with enhanced orientation along (111) plane as a result of hot isostatic pressing as revealed by XRD.HIP treatment to ZnS facilitated the enhancement of the homogeneity of microstructure and enhancement in the grain size from 10μm to 50μm. The electrical behavior of both the samples was investigated by AC impedance spectroscopy in the frequency range 1Hz to 1MHz from RT to 500°C in dry air. HIP has resulted in a significant increase in the dielectric constant, which can be attributed to the increase in homogeneity and the grain size. Further, the complex impedance plots exhibited two impedance semicircles identified in the frequency range is explained by the grain and grain boundary effects. An equivalent-circuit analysis of AC impedance spectra based on the brick-layer model was performed. Activation energies obtained from the conductivity plots indicates an Arrhenius type thermally activated process.

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Section: Resultsmentioning

confidence: 99%

Structure-Property Correlation in Ir Transparent Zinc Sulphide (Zns) Ceramics Under Chemical Vapour Deposited & Hot Iso-Statically Pressed Conditions

2019

AMSE

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“…The described analytical methods for causality evaluation of dielectric models of photonic materials are summarised in Table 1. [6,41] (41) IFT 9 Westerlund [42,43] (42) KKR 17 power-law for porous media [45] (44) KKR 17 generalized power-law [25] (65)-( 66) PWT 1 Debye relaxation [46,47] (45) IFT 4 Lorentz [7,47] (46) IFT 5 Lorentz in high-frequency limit [7] (47) IFT, KKR 6, 20 Lorentz with static magnetic induction [7] (48) IFT 7 Lorentz in FO generalization [49] (49) HE 14 Drude [47] (50) IFT 8 Cole-Cole [46,[50][51][52] (51) HE 10 Cole-Davidson [46,53] (52) HE 11 Havriliak-Negami [46,54,55] (53) HE 12 Raicu [46,56] (54) HE 13…”

Section: Discussionmentioning

confidence: 99%

“…This model is the extension of ( 47), which involves an interaction between static magnetic field B 0 and tenuous electronic plasma of uniform density, when transverse waves propagate parallel to the direction of B 0 . • Lorentz in FO generalization [49]…”

Section: Dielectric Relaxationmentioning

confidence: 99%

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Analytical Methods for Causality Evaluation of Photonic Materials

2022

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We comprehensively review several general methods and analytical tools used for causality evaluation of photonic materials. Our objective is to call to mind and then formulate, on a mathematically rigorous basis, a set of theorems which can answer the question whether a considered material model is causal or not. For this purpose, a set of various distributional theorems presented in literature is collected as the distributional version of the Titchmarsh theorem, allowing for evaluation of causality in complicated electromagnetic systems. Furthermore, we correct the existing material models with the use of distribution theory in order to obtain their causal formulations. In addition to the well-known Kramers–Krönig (K–K) relations, we overview four further methods which can be used to assess causality of given dispersion relations, when calculations of integrals involved in the K–K relations are challenging or even impossible. Depending on the given problem, optimal approaches allowing us to prove either the causality or lack thereof are pointed out. These methodologies should be useful for scientists and engineers analyzing causality problems in electrodynamics and optics, particularly with regard to photonic materials, when the involved mathematical distributions have to be invoked.

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Parameter identification of fractional-order systems with time delays based on a hybrid of orthonormal Bernoulli polynomials and block pulse functions

Sin,

Kim

et al. 2024

Nonlinear Dyn

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Fractional model of the dielectric dispersion

Cited by 14 publications

References 19 publications

Structure-Property Correlation in Ir Transparent Zinc Sulphide (Zns) Ceramics Under Chemical Vapour Deposited & Hot Iso-Statically Pressed Conditions

Structure-Property Correlation in Ir Transparent Zinc Sulphide (Zns) Ceramics Under Chemical Vapour Deposited & Hot Iso-Statically Pressed Conditions

Analytical Methods for Causality Evaluation of Photonic Materials

Parameter identification of fractional-order systems with time delays based on a hybrid of orthonormal Bernoulli polynomials and block pulse functions

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