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2012-10-01
Remarks on the Measurement of Static Permittivity through a Classical Description
By
Progress In Electromagnetics Research C, Vol. 33, 95-108, 2012
Abstract
In this paper the concept of static electric permittivity and its measurement are discussed. A classical description of polarization via a harmonically bound charge model is revisited and the evolution of the polarization concept in the presence of free electrons is shown. Various electrostatic problems are defined under ideal conditions. The measurement procedures for characterizing the static permittivity of dielectrics and conductors via the measurement of induction-electric field, charge-potential difference and electrostatic energy variation are discussed. Two basic experiments with a lossy dielectric are described. In one case we reach an electrostatic equilibrium with an indeterminate solution. In the other case we define a magnetostatic problem. Finally, we comment on the case of a laboratory experiment remarking on the proper use of the low-frequency limit of dielectric constant and showing experimental results performed on a supercapacitor.
Citation
Bernardo Tellini Mauro Bologna , "Remarks on the Measurement of Static Permittivity through a Classical Description," Progress In Electromagnetics Research C, Vol. 33, 95-108, 2012.
doi:10.2528/PIERC12061605
http://www.jpier.org/PIERC/pier.php?paper=12061605
References

1. Landau, L. and E. Lifshitz, Electrodynamics of Continuous Media, Pergamon Press, Oxford, 1981.

2. Jackson, J. D., Classical Electrodynamics, John Wiley & Sons, Inc., New York, 1998.

3. Debye, P., Polar Molecules, Chemical Catalogue, New York, 1929.
doi:10.1103/PhysRevLett.38.820

4. Brooks, J. S., R. Vasic, A. Kismarahardja, E. Steven, T. Tokumoto, P. Schlottmann, and S. Kelly, "Debye relaxation in high magnetic fields," Physical Review B, Vol. 78, 045205-1-6, 2008.
doi:10.1103/PhysRevB.78.045205

5. Brand, R., P. Lunkenheimer, and A. Loidl, "Relaxation dynamics in plastic crystals," Journal of Chem. Phys., Vol. 116, 10386-10401, 2002.
doi:10.1063/1.1477186

6. Hasar, U. C. and O. Simsek, "An accurate complex permittivity method for thin dielectric materials," Progress In Electromagnetics Research, Vol. 91, 123-138, 2009.
doi:10.2528/PIER09011702

7. Hasar, U. C., "Permittivity measurement of thin dielectric materials from reflection-only measurements using one-port vector network analyzers," Progress In Electromagnetics Research, Vol. 95, 365-380, 2009.
doi:10.2528/PIER09062501

8. Chen, L., V. V. Varadan, C. K. Ong, and C. P. Neo, Microwave Theory and Techniques for Materials Characterization, Wiley, 2004.

9. Barsoukov, E. and M. J. Ross, Impedance Spectroscopy Theory, Experiment, and Applications, Wiley, 2005.

10. Lunkenheimer, P., A. Pimenov, B. Schiener, R. Boemer, and A. Loidl, "High-frequency dielectric spectroscopy on glycerol," Europhysics Letters, Vol. 33, 611-616, 2007.
doi:10.1209/epl/i1996-00387-4

11. Tellini, B., M. Bologna, and A. Petri, "Measurement of magnetism in composite materials," IEEE Trans. Instrum. Meas., Vol. 58, 3411-3417, 2009.
doi:10.1109/TIM.2009.2017653

12. Bologna, M., A. Petri, C. Zappacosta, and B. Tellini, "Effective magnetic permeability measurement in composite resonator structures," IEEE Trans. Instrum. Meas., Vol. 59, 1200-1206, 2010.
doi:10.1109/TIM.2010.2044075

13. Tellini, B. and M. Bologna, "Magnetic composite materials and arbitrary B-H relationships," IEEE Trans. Magn., Vol. 46, 3967-3972, 2010.
doi:10.1109/TMAG.2010.2079332

14. Barsali, S., M. Ceraolo, and B. Tellini, "Frequency dependent parameter model of supercapacitor," Measurement, Vol. 43, 1683-1688, 2010.
doi:10.1016/j.measurement.2010.09.016

15. Kaatze, U., "Techniques for measuring the microwave dielectric properties of materials," Metrologia, Vol. 47, 91-113, 2010.
doi:10.1088/0026-1394/47/2/S10

16. Greffe, J. L. and C. Grosse, "Static permittivity of emulsions," Progress In Electromagnetics Research, Vol. 06, 41-100, 1992.

17. Gregory, A. P. and R. N. Clarke, "Traceable measurements of the static permittivity of dielectric reference liquids over the temperature range 5-50°C," Meas. Sci. Technol., Vol. 16, 1506-1516, 2005.
doi:10.1088/0957-0233/16/7/013

18. Wang, Y., "Frequency dependence of capacitance standard," Rev. Sci. Instrum., Vol. 74, 4212-4215, 2003.
doi:10.1063/1.1599063

19. Keller, M. W., A. L. Eichenberger, J. M. Martinis, and N. M. Zimmerman, "A capacitance standard based on counting electrons," Science, Vol. 285, 1706-1709, 1999.
doi:10.1126/science.285.5434.1706