Journal article
Analysis of polarization dynamics by singularity decomposition method
Annals of biomedical engineering, v 20(3), pp 321-335
1992
PMID: 1443827
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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.
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Details
- Title
- Analysis of polarization dynamics by singularity decomposition method
- Creators
- H Sun - Drexel UniversityA Charef - Drexel UniversityY Y Tsao - Drexel UniversityB Onaral - Drexel University
- Publication Details
- Annals of biomedical engineering, v 20(3), pp 321-335
- Publisher
- Springer Nature
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- School of Biomedical Engineering, Science, and Health Systems
- Web of Science ID
- WOS:A1992JB79100006
- Scopus ID
- 2-s2.0-0026769666
- Other Identifier
- 991019173999304721
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- Web of Science research areas
- Engineering, Biomedical