<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</abstract>

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.

Time domain characterization of the Cole-Cole dielectric model

Journal of Electrical Bioimpedance

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"Time domain characterization of the Cole-Cole dielectric model"}

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...

Time domain characterization of the Cole-Cole dielectric model

Published Online: Dec 31, 2020

Page range: 101 - 105

Received: Dec 07, 2020

DOI: https://doi.org/10.2478/joeb-2020-0015

Keywords
Cole-Cole, Curie-von Schweidler, Kohlrausch, Constant phase element

© 2020 Sverre Holm, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Figure 1

Figure 2

Time domain characterization of the Cole-Cole dielectric model

Published Online: Dec 31, 2020

Page range: 101 - 105

Received: Dec 07, 2020

DOI: https://doi.org/10.2478/joeb-2020-0015

KeywordsCole-Cole, Curie-von Schweidler, Kohlrausch, Constant phase element

© 2020 Sverre Holm, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Figure 1

Figure 2

Keywords
Cole-Cole, Curie-von Schweidler, Kohlrausch, Constant phase element