Relaxation the quantitative application of time-domain techniques to dielectrics

IEEE Transactions on Dielectrics and Electrical Insulation

Volumn 9, Issue 5, 2002, Pages 829-837

  Mopsik, Frederick I ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BESSEL FUNCTIONS; CALCULATIONS; CONVERGENCE OF NUMERICAL METHODS; ERRORS; FAST FOURIER TRANSFORMS; FREQUENCY RESPONSE; LAPLACE TRANSFORMS; POLYNOMIALS; TIME DOMAIN ANALYSIS;

CHEBYSHEV POLYNOMIALS; ERROR PROPAGATION; FREQUENCY DOMAIN RESPONSE; RELAXATIONAL SYSTEM;

DIELECTRIC RELAXATION;

EID: 0036817794     PISSN: 10709878     EISSN: None     Source Type: Journal    
DOI: 10.1109/TDEI.2002.1038665     Document Type: Article

References (30)

1. A. van Roggen, "Dielectric Dispersion in Pseudoinsulators", 1967 Annual Report, Conf. Elec. Insul. Diel. Phenom., p. 22, NAS-NRC publ. 1578, 1968.
2. J. C. Maxwell, A Treatise on Electricity & Magnetism, Vol. 2, pp. 247-262, Third ed., Dover Publications Inc., New York 1954, Original edition, 1891.
3. K. S. Cole and R. H. Cole, "Dispersion and Absorption in Dielectrics, II. Direct Current Characteristics", J. Chem. Phys. Vol. 10, 98-105 1942.
4. R. P. Auty and R. H. Cole, "Dielectric Properties of Ice and Solid D20", J. Chem. Phys. Vol. 20, 1309 1952.
5. B. V. Hamon, Proc. IEE 27, p. 99 1953.
6. P. J. Hyde, "Wide-Frequency-range Dielectric Spectrometer", Proc. IEEE Vol. 117, pp. 1891-1901, 1970.
7. G. E. Johnson, E. W. Anderson, G. L. Link and D. W. McCall, "Fourier Transform Dielectric Spectrometer", Am. Chem. Soc. Div. Org. Coat., Plast. Chem. Pap. 35 No. 1, p. 404-409, 1975.
8. C. R. Snyder and F. I. Mopsik, "Limitations on Distinguishing Between Representations of Relaxation Data over Narrow Frequency Ranges", J. Appl. Phys. Vol.84, p. 4421, 1998.
9. C R. Snyder and F. I. Mopsik, "Critical Comparison between Time- and Frequency-Domain Relaxation Functions", Phys. Rev. Vol. B 60, p. 984, 1999.
10. K. S. Cole and R. H. Cole, "Dispersion and Absorption in Dielectrics. AC Characteristics", J. Chem Phys. Vol. 9, p. 341, 1941.
11. D. W. Davidson and R. H. Cole, "Dielectric Relaxation in Glycerine", J. Chem. Phys. Vol. 19, p. 1484, 1950.
12. F. I. Mopsik, "Precision Time-Domain Dielectric Spectrometer", Rev. Sci. Instrum. Vol. 55, pp. 79-87, 1984.
13. F. I. Mopsik, "The Transformation of Time-Domain Relaxation data into the Frequency Domain", IEEE Trans. Elec. Insul. Vol. 20, pp. 957-964, 1985.
14. R. Courant and D. Hilbert, Methods of Mathematical Physics, Vol. 1, p. 74, Interscience Publishers, New York, 1953.
15. J. H. Ahlberg, E. N. Nilson, J. Walsh, "The Theory of Splines and their Applications", Academic Press, New York.
16. T. N. E. Greville, "Spline Functions, Interpolations and Numerical Quadrature", in Mathematical Methods for Digital Computers, ed. A. Ralston and H.S. Wilf, Wiley, New York, pp. 156-168, 1967.
17. F. I. Mopsik, "A Fast method of Transforming Relaxation Functions into the Frequency Domain", J. Res. Natl. Inst. Stand. Technol., Vol. 104, p. 189, 1999.
18. R. Kohlrausch, Ann. Phys. Chem. Vol. 91, p. 179, 1854.
19. G. Williams and D. C. Watts, Trans. Faraday Soc. Vol. 66, p. 80, 1970.
20. G. P. Simon and G. Wiliams, "A Consideration of the Accuracy and Application of the Brather Method for the Transformation of Dielectric Relaxation Data from the Time Domain to the Frequency Domain", Polymer Vol. 34, p. 2038 1993.
21. L. D. Landau and E. M. Lifshitz, Electrodynamics of continuous Media, pp. 256-262, Addison-Wesley, Reading, 1960.
22. F. I. Mopsik, "Stability of a Numerical Laplace Transform for Dielectric Measurements", IEEE Trans. Diel., Elec. Insul. 1, 3 1994.
23. M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, Applied Mathematics Series 55, p. 788, U.S. Government Printing Office, Washington, 1964.
24. M. G. Natrella, Experimental Statistics, National Bureau of Standards Handbook 91, p. 6-26, U.S. Government Printing Office, Washington, 1963.
25. S. D. Stearns, Digital Signal Analysis, Hayden Book Company, Rochele Park, 1975.
26. R. H. Cole, "Evaluation of Dielectric Behavior by Time Domain Spectroscopy. II. Complex Permittivity", J. Phys. Chem. Vol. 79, p. 1469 1975.
27. R. H. Cole, S. Mashimo and P. Winsor IV, "Evaluation of Dielectric Behavior by Time Domain Spectroscopy. III. Precision Difference Methods", J. Phys. Chem. 84, 786 1980.
28. R. Chahine and T. K. Bose, "Comparative studies of various methods in Time Domain Spectroscopy", J. Chem. Phys. 72, 808 1980.
29. Y. Dutuit, "La transformation de Fourier discrète en spectroscopie temporelle", Rev. Phys. Applié. 14, 939 1979.
30. M. Khazan, R. Meissner and I. Wilke, "Convertible Transmission-Reflection Time-Domain Terahertz Spectrometer", Rev. Sci. Instrum. 72, 3427 2001.