Numerical transformations of wide-range time- and frequency-domain relaxational spectra

IEE Proceedings: Science, Measurement and Technology

Volumn 150, Issue 2, 2003, Pages 65-74

  Farag, N ^a   Holten, S ^a   Wagner, A ^a   Kliem, H ^a  

^a SAARLAND UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CALCULATIONS; FOURIER TRANSFORMS; FREQUENCY DOMAIN ANALYSIS; LAPLACE TRANSFORMS; MATHEMATICAL MODELS; NUMERICAL METHODS; POLARIZATION; SPURIOUS SIGNAL NOISE; TIME DOMAIN ANALYSIS;

DISTRIBUTION FUNCTIONS; GAIN STABILITY; KRAMERS-KRONIG RELATIONS; RELAXATION SPECTRA;

DIELECTRIC RELAXATION;

EID: 0037769612     PISSN: 13502344     EISSN: None     Source Type: Journal    
DOI: 10.1049/ip-smt:20030224     Document Type: Article

References (18)

1. Kliem, H., Fuhrmann, P., and Arlt, G.: 'A numerical method for the determination of first-order kinetics relaxation time spectra', IEEE Trans. Electr. Insul., 1988, 23, (6), pp. 919-927
2. Press, W.H., Teukolsky, S.A., Vetterling, W.T., and Flannery, B.P.: 'Numerical recipes in C' (Cambridge University Press, Cambridge, 1992, 2nd Edn.)
3. Louis, A.K.: 'Inverse und schlecht gestellte Probleme' (B.G. Teubner, Stuttgart, 1989, 1st Edn.)
4. Weese, J.: 'A relieable and fast method for the solution of Fredholm integral equations of the first kind based on Tikhonov regularization', Comput. Phys. Commun., 1992, 69, pp. 99-111
5. Provencher, S.W.: 'Contin: A general-purpose constrained regularization program for inverting noisy linear algebraic and integral equations', Comput. Phys. Commun., 1982, 27, pp. 229-242
6. Keiter, H., and Rosenberg, M.: 'On the probability distributions of relaxation times in glasses', Eur. Phys. J. B, 1998, 5, pp. 599-603
7. Leshchenko, M.A., and Bovtun, V.P.: 'Method of direct determination of relaxation time distribution function in glasses, relaxor and ferroelectric phases', Ferroelectrics, 1997, 190, pp. 203-208
8. Pelster, R., Kruse, T., Krauthäuser, H.G., Grunow, V., Nimitz, G., and Pissis, P.: 'Inversion of dielectric spectra into 2D distributions of activation energy and relaxation time', J. NonCryst Solids, 1998, 235-237, pp. 160-163
9. Dias, C.J.: 'Determination of a distribution of relaxation frequencies based on experimental relaxational data', Phys. Rev. B. Solid State, 1996, 53, (21), pp. 14212-14222
10. Mopsik, F.I.: 'Precision time-domain dielectric spectrometer', Rev. Sci. Instrum., 1984, 55, (1), pp. 79-87
11. Tuncer, E., and Gubanski, S.M.: 'On dielectric data analysis', IEEE Trans Electric. Insul., 2001, 8, (3), pp. 310-320
12. Marco, S., Palacin, J., and Samitier, J.: 'Improved multi-exponential transient spectroscopy by iterative deconvolution', IEEE Trans. Instrum. Meas., 2001, 50, (3), pp. 774-780
13. Fröhiich, H.: 'Theory of dielectrics' (Oxford University Press, Oxford, 1949, reprinted 1990)
14. Stein, S., and Jones, J.J.: 'Modern communication principles', (Mc Graw Hill, New York, 1967)
15. Gross, B.: 'Mathematical structure of the theories of viscoelasticity', 1st Edn. (Libraire Scientifique Hermann et Cie, Paris, 1953)
16. Engeln-Müllges, G., and Uhlig, F.: 'Numerical algorithms with C', 1st Edn. (Springer, Berlin, 1996)
17. Wagner, A., and Kliem, H.: 'Dispersive ionic space charge relaxation in solid polymer electrolytes: I. experimental system polyetylene oxide', J. Appl. Phys., 2002, 91, pp. 6630-6637
18. 2 thin films', J. Appl. Phys., 2001, 90, pp. 1941-1949