Dielectric Response

In this paper, the electric field, space charge and temperature distributions across a double layered dielectric are investigated under DC voltage. The dissimilarity of material properties of different layers, the effect of electric field and temperature dependent conductivity are found to play critical role in the electro-thermal problem of multi-dielectrics. At the interface, Maxwell-Wagner polarization is incorporated for electric field and interfacial charge, while temperature is considered as a continuous function of space inside the material. The current continuity equation, thermal continuity equation and Poisson's equation are simultaneously solved using numerical methods in parallel-plane electrode geometry. The electric field distribution, temperature distribution, space charge distribution and thermal breakdown limits are obtained at various boundary temperatures for different thickness proportions of layers.

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“…Neglecting small diffusion current [18,19] in bulk, the total current density may be considered as drift current. Hence from Equations (1) and 2,…”

Section: Governing Equationsmentioning

confidence: 99%

Electric Field and DC Breakdown Voltage of Multi-layer Dielectrics in Parallel-Plane Geometry

Muppala

Reddy

2021

IEEE Trans. Dielect. Electr. Insul.

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“…Frequency-dependency can be given either for the susceptibility [ 5 , 9 ] or for the permittivity [ 2 ]. The relationship between the two is: There are two reasons why we consider the permittivity here.…”

Section: Definitionsmentioning

confidence: 99%

Time domain characterization of the Cole-Cole dielectric model

Holm

2020

Journal of Electrical Bioimpedance

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The Cole-Cole model for a dielectric is a generalization of the Debye relaxation model. The most familiar form is in the frequency domain and this manifests itself in a frequency dependent impedance. Dielectrics may also be characterized in the time domain by means of the current and charge responses to a voltage step, called response and relaxation functions respectively. For the Debye model they are both exponentials while in the Cole-Cole model they are expressed by a generalization of the exponential, the Mittag-Leffler function. Its asymptotes are just as interesting and correspond to the Curie-von Schweidler current response which is known from real-life capacitors and the Kohlrausch stretched exponential charge response.

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“…α 2 + (ρω) 2 (α cos(ωt) + (ρω) sin(ωt)) , (12) while electric field is then easily found from the second equation of system (7). In solution eq.…”

Section: The Linear Responsementioning

confidence: 99%

“…The frequency dependent electric susceptibility in the FE layer is obtained from the time dependent solution of the system (7) for the simple choice of harmonic bias voltage V b (t) = V 0 cos(ωt) with single frequency ω. Stationary time dependent solution of this system is, for polarization 2 (α cos(ωt) + (ρω) sin(ωt)) , (12) while electric field is then easily found from the second equation of system (7). In solution eq.…”

Section: The Linear Responsementioning

confidence: 99%

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Frequency-dependent dielectric response of ferroelectric–dielectric junction with negative electric capacitance

Piskač

Radić

2020

Eur. Phys. J. Plus

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We calculated the frequency dependent dielectric response (electric susceptibility) of layered ferroelectric-dielectric junction, biased by the time-dependent harmonic voltage with single frequency ω. Working point is stabilized, by the charge boundary condition between the layers, in the region with negative electric capacitance. The static susceptibility χ0 is negative and relative dielectric constant ǫr smaller than one, clearly indicating the opposite direction of electric field and polarization in the ferroelectric layer due to the negative electric capacitance. At finite frequencies this sign is preserved in real part of susceptibility which gains the frequency dependence. Also, frequency dependent imaginary part arises due to the phase shift between electric field and polarization. The type of that frequency dependence in linear regime is so-called relaxation (Debye) response, i.e. χ ′ (ω) = χ0/(1 + (τ ω) 2) and χ"(ω) = χ0τ ω/(1 + (τ ω) 2), where τ is polarization switching time characteristic to ferroelectric material. In particular, we modeled the junction of ferroelectric BaTiO3 and dielectric Al2O3, taking the experimental values of material parameters, and addressed the role of nonlinearity with respect to result of the linear response theory.

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Dielectric Response

Cited by 12 publications

References 53 publications

Electric Field and DC Breakdown Voltage of Multi-layer Dielectrics in Parallel-Plane Geometry

Electric Field and DC Breakdown Voltage of Multi-layer Dielectrics in Parallel-Plane Geometry

Time domain characterization of the Cole-Cole dielectric model

Frequency-dependent dielectric response of ferroelectric–dielectric junction with negative electric capacitance

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