Extracting the contribution of conduction in permittivity measurements using the Kramers-Kronig relations

TL;DR

This paper presents a method using Kramers-Kronig relations to separate conduction effects from permittivity measurements, addressing challenges in low-frequency and multiple relaxation phenomena separation.

Contribution

It introduces a practical approach leveraging Kramers-Kronig relations to distinguish conduction contributions in permittivity measurements, especially under complex relaxation conditions.

Findings

Effective separation of conduction and relaxation phenomena demonstrated

Method applicable to real impedance measurement data

Improves accuracy of permittivity characterization

Abstract

The measurement of the material permittivity is often performed via an impedance measurement. In this case the measured permittivity includes the conduction contribution. Most of the time, the impedance-meters performing such measurement do not perform static measurement even if they can go to low frequencies. When the dipolar relaxation of the material leads to low frequency relaxation, separating the relaxation phenomenon from the conduction phenomenon can be difficult, especially when multiple relaxation phenomena superimpose. In this work we use the Kramers-Kronig relations to perform that separation by considering the frequency response aspect of the permittivity. The practical aspect of the method is presented and demonstrated on real measurements