Articles | Volume 16
04 Sep 2018
 | 04 Sep 2018

Using The Kramers-Kronig Transforms To Retrieve The Conductivity From The Effective Complex Permittivity

Mostafa Bakry and Ludger Klinkenbusch

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Cited articles

Boukamp, B. A.: A linear Kronig-Kramers transform test for immittance data validation, J. Electrochem. Soc., 142, 1885–1894, 1995. a
Collocott, S.: Numerical solution of Kramers-Kronig transforms by a Fourier method, Comput. Phys. Commun., 13, 203–206, 1977. a
Esteban, J. M. and Orazem, M. E.: On the application of the Kramers-Kronig relations to evaluate the consistency of electrochemical impedance data, J. Electrochem. Soc., 138, 67–76, 1991. a, b, c
Kramers, H. A.: La diffusion de la lumiere par les atomes, 2, Atti del Congresso Internationale dei Fisici, Como, 1927. a
Kronig, R. d. L.: On the theory of dispersion of x-rays, Journal of the Optimcal Society of America, 12, 547–557, 1926. a
Short summary
A relatively simple numerical method is introduced to separate the electric conductivity from the effective (complex) permittivity. The latter is often the outcome of measurements of the electric properties of a material. The method includes a numerical evaluation of the Kramers-Kronig transform integrals also known as Hilbert transform. Exemplarily it is applied to extract the conductivity from measured data found in the literature describing the effective permittivity of composite material.