Dispersion of the dielectric Fröhlich model and mixtures

Jiaran Qi; Ari Sihvola

doi:10.1109/TDEI.2011.5704504

Dispersion of the dielectric Fröhlich model and mixtures

Jiaran Qi^*
, Ari Sihvola

^*Corresponding author for this work

Aalto University

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

The dispersion mechanism of the dielectric Fröhlich model is first analyzed. The frequency dependence of the effective permittivity of a two-phase Frohlich composite is then modeled and derived based on the classic Maxwell Garnett mixing rule. The changes of the dispersive model parameters due to the mixing are analyzed and specified. According to these results, the influence of dispersive behavior of individual phase on that of Fröhlich mixture is such that, depending on the volume fraction, the composite follows either a double-Debye-type dispersion or a more complicated model which combines a Lorentz-type, a shifted passive Debye-type and a shifted active Debye-type dispersions.

Original language	English
Article number	5704504
Pages (from-to)	149-154
Number of pages	6
Journal	IEEE Transactions on Dielectrics and Electrical Insulation
Volume	18
Issue number	1
DOIs	https://doi.org/10.1109/TDEI.2011.5704504
State	Published - Feb 2011
Externally published	Yes

Keywords

Frohlich model
Maxwell Garnett mixing rule
relaxation dispersion
resonance dispersion

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10.1109/TDEI.2011.5704504

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abstract = "The dispersion mechanism of the dielectric Fr{\"o}hlich model is first analyzed. The frequency dependence of the effective permittivity of a two-phase Frohlich composite is then modeled and derived based on the classic Maxwell Garnett mixing rule. The changes of the dispersive model parameters due to the mixing are analyzed and specified. According to these results, the influence of dispersive behavior of individual phase on that of Fr{\"o}hlich mixture is such that, depending on the volume fraction, the composite follows either a double-Debye-type dispersion or a more complicated model which combines a Lorentz-type, a shifted passive Debye-type and a shifted active Debye-type dispersions.",

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volume = "18",

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AU - Qi, Jiaran

AU - Sihvola, Ari

PY - 2011/2

Y1 - 2011/2

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AB - The dispersion mechanism of the dielectric Fröhlich model is first analyzed. The frequency dependence of the effective permittivity of a two-phase Frohlich composite is then modeled and derived based on the classic Maxwell Garnett mixing rule. The changes of the dispersive model parameters due to the mixing are analyzed and specified. According to these results, the influence of dispersive behavior of individual phase on that of Fröhlich mixture is such that, depending on the volume fraction, the composite follows either a double-Debye-type dispersion or a more complicated model which combines a Lorentz-type, a shifted passive Debye-type and a shifted active Debye-type dispersions.

KW - Frohlich model

KW - Maxwell Garnett mixing rule

KW - relaxation dispersion

KW - resonance dispersion

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VL - 18

SP - 149

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JO - IEEE Transactions on Dielectrics and Electrical Insulation

JF - IEEE Transactions on Dielectrics and Electrical Insulation

IS - 1

M1 - 5704504

ER -

Dispersion of the dielectric Fröhlich model and mixtures

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Keywords

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