title: Analysis of polarization dynamics by singularity decomposition method.
abstract: The driving point immittance (impedance or admittance) function is commonly used in electrical characterization of polarized materials and interfaces. The immittance function typically attenuates following a power function dependence on frequency. This fact has been recognized as a macroscopic dynamical property manifested by strongly interacting dielectric, viscoelastic and magnetic materials and interfaces between different conducting substances. Linear interfacial polarization processes which occur at metal electrode-electrolyte interfaces have been represented by the Fractional Power Pole [FPP] function in single or multiple stages. The FPP function is referred to as the Davidson-Cole function in the dielectrics literature. A related function widely used in mathematical modeling of dielectric and viscoelastic polarization dynamics is the Cole-Cole function. The fractional power factor which parametrizes the FPP or the Davidson-Cole function has been shown earlier to equal the logarithmic ratio of the locations of the pole-zero singularities. In this paper we first review a modified form of the singularity decomposition of the FPP function accomplished within a prescribed error range. The distribution spectrum and the corresponding simulation by a cascade R-C network, as opposed to the synthesis by a ladder R-C network, are readily obtained as the next step in the simulation. The method is then applied to decompose the Cole-Cole function; the pole-zero placement of the singularity function is determined and the equivalent cascade R-C network is synthesized.
authors.affiliation: Biomedical Engineering and Science Institute, Drexel University, Philadelphia, PA 19104.
authors.forename: H
authors.initials: H
authors.lastname: Sun
authors.forename: A
authors.initials: A
authors.lastname: Charef
authors.forename: Y Y
authors.initials: YY
authors.lastname: Tsao
authors.forename: B
authors.initials: B
authors.lastname: Onaral
mesh_terms: D004553:Electric Conductivity; D004566:Electrodes; D004573:Electrolytes / Q000737:chemistry; D008422:Materials Testing; D008670:Metals / Q000737:chemistry; D008962:Models, Theoretical
chemical_list: D004573:Electrolytes; D008670:Metals