Skip to main content
Log in

Abstract.

The factorized form of the dielectric function, introduced by Berreman and Unterwald to describe reststrahlen, is well know by infrared spectroscopists. In the present paper, we show that such form can be generalized to account for relaxational dispersion. After reviewing the fundamentals of this approach, we show that the factorized form proposed for the description of dielectric relaxation is flexible, founded on very general grounds and circumvents three basic limitations of the conventional sum model of Debye relaxors: the coupling between different polar units, the high frequency transparency problem and the non-inclusion of the effect of coupled non-polar degrees of freedom.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. K. Kubo, J. Phys. Soc. Jpn 6, 570 (1957)

    MATH  Google Scholar 

  2. P. Debye, Ber. D. Phys. Ges. 15, 777 (1913)

    Google Scholar 

  3. H.V. Helmholtz, Pogg. Ann. 154, 582 (1874)

    Google Scholar 

  4. R. De L. Krönig, J. Am. Optical Soc. 12, 547 (1926)

    Google Scholar 

  5. D.W. Berreman, F.C. Unterwald, Phys. Rev. 174, 791 (1968)

    Article  Google Scholar 

  6. F. Gervais, B. Piriou, J. Phys. C: Solid State Phys. 7, 2374 (1974)

    Article  Google Scholar 

  7. A. Kasic, M Schubert, S. Einfeldt, D. Homel, T.E. Tiwald, Phys. Rev. B 62, 7365 (2000)

    Article  Google Scholar 

  8. A. Kasic, M. Schubert, B. Kuhn, F. Scholtz, S. Einfeld, D. Hommel, J. Appl. Phys. 89, 3720 (2001)

    Article  Google Scholar 

  9. T. Hofmann, G. Leibiger, V.Gottschalch, I. Pietzonka, M. Schubert, Phys. Rev. B 64, 155206 (2001)

    Article  Google Scholar 

  10. T. Hofmann, V. Gottschalch, M. Schubert, Phys. Rev. B 66, 195204 (2002)

    Google Scholar 

  11. M. Schubert, T.E. Tiwald, C.M. Herzinger, Phys. Rev. B 61, 8187 (2000)

    Google Scholar 

  12. R.E. D\’iaz, N.G. Alexopoulos, IEEE T. Antenn. Propag. 45, 1602 (1997)

    Article  MathSciNet  Google Scholar 

  13. E.C. Titchmarsh, Introduction to the theory of Fourier integrals (Oxford U.P., 1937)

  14. J.E. Marsden, M.J. Hoffman, Basic Complex Analysis (W.H. Freeman, New York, 1999)

  15. J. Hilgevoord, Dispersion Relations and Causal Description (North-Holland, Amsterdam, 1962)

  16. A.K. Jonscher, Dielectric relaxation in solids (Chelsea dielectrics Press, London, 1983)

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to J. L. Ribeiro.

Additional information

Received: 28 September 2003, Published online: 19 November 2003

PACS:

77.22.Ch Permittivity (dielectric function) - 77.22.Gm Dielectric loss and relaxation

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ribeiro, J.L., Vieira, L.G. The factorized form for dielectric relaxation. Eur. Phys. J. B 36, 21–26 (2003). https://doi.org/10.1140/epjb/e2003-00313-2

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjb/e2003-00313-2

Keywords

Navigation