A note on applications of time-domain solution of Cole permittivity models

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Küçük Resim

Tarih

2017

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Elsevier Gmbh

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

The complex dielectric permittivity is an important parameter for characterization of electrical properties of dielectric materials. Experimental studies demonstrated that Cole models of dielectric permittivity can provide a better fitting to the experimental data because of allowing for fractional-order frequency dependence. This study aims to investigate physical interpretation of time domain solutions of Cole permittivity models. For this purpose, impulse responses of Cole-Cole model and Davidson-Cole model are expressed in Mittag-Leffler function form by using inverse Laplace transform. The impulse responses of these models are decomposed into impulsive and dispersive components, and the relations of these components with relaxation mechanism of dielectric materials are discussed. By considering impulse response solution of Cole-Cole models, a fractional order dynamic capacitance model is introduced for time domain equivalent circuit modeling of dielectric materials. Moreover, transient properties of electromagnetic wave penetration to dielectric materials are analyzed according to impulse response solution of Cole-Cole model. To illustrate applications of proposed time domain permittivity solutions, the Cole-Cole model of ethyl-acetate liquids was also studied and results are presented. (C) 2017 Elsevier GmbH. All rights reserved.

Açıklama

Anahtar Kelimeler

Dielectric permittivity, Cole-Cole model, Davidson-Cole model, Fractional order dynamic capacitance modeling, Electric field flux density, Wave impedance, Propagation, Absorption

Kaynak

Optik

WoS Q Değeri

Q3

Scopus Q Değeri

Q2

Cilt

139

Sayı

Künye