Skip to main content
Log in

Dispersion of permittivity of two-component media

  • Solids
  • Electronic Properties
  • Published:
Journal of Experimental and Theoretical Physics Aims and scope Submit manuscript

Abstract

The dispersion of permittivity of 2D inhomogeneous matrix materials with various structures is studied. Effective parameters of the systems under investigation permit an exact analytic calculation, which makes it possible to analyze the effect of concentration of inclusions and their shape on the frequency dependences of the complex permittivity of inhomogeneous materials. The conditions under which the permittivity dispersion is not manifested are specified.

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. A. P. Vinogradov, A. N. Logarkov, and V. E. Romanenko, Electromagnetics 17, 213 (1997).

    Google Scholar 

  2. T. L. Chelidze, A. I. Derevyanko, and O. D. Kurilenko, Electric Spectroscopy of Heterogeneous Systems (Kiev, Naukova Dumka, 1977), p. 232.

    Google Scholar 

  3. Yu. V. Gorokhovatskii and G. A. Bordovskii, Thermoactivated Current Spectroscopy of High-Resistance Semiconductors and Dielectrics (Nauka, Moscow, 1991), p. 248.

    Google Scholar 

  4. P. Debye, Polar Molecules (Chemical Catalog Co., New York, 1929; Gostekhizdat, Moscow, 1931).

    Google Scholar 

  5. A. R. Hippel, Dielectries and Waves (Wiley, New York, 1954; Inostrannaya Literatura, Moscow, 1960).

    Google Scholar 

  6. D. V. Davidson and R. H. Cole, J. Chem. Phys. 19, 1484 (1951).

    Google Scholar 

  7. S. Havriliak and S. Negami, Polymer 8, 161 (1967).

    Article  Google Scholar 

  8. R. M. Fuoss and J. G. Kirkwood, J. Amer. Chem. Soc. 8, 161 (1967).

    Google Scholar 

  9. G. Williams and D. C. Watts, Trans. Faraday Soc. 66, 80 (1970).

    Google Scholar 

  10. J. C. Maxwell, Treatise on Electricity and Magnetism (Dover, New York, 1954; Nauka, Moscow, 1989), Vol. 1.

    Google Scholar 

  11. K. W. Wagner, Die Isolierstoffe der Electrotechnik (Springer-Verlag, Berlin, 1924).

    Google Scholar 

  12. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 8: Electrodynamics of Continuous Media (Nauka, Moscow, 1982; Pergamon, New York, 1984).

    Google Scholar 

  13. Lord Rayleigh, Philos. Mag. 34, 87 (1892).

    Google Scholar 

  14. W. T. Perrins, D. R. McKenzie, and R. C. McPhedran, Proc. Roy. Soc. London, Ser. A 369, 207 (1979).

    ADS  MathSciNet  Google Scholar 

  15. R. D. Manteufel and N. E. Todreas, Int. J. Heat Mass Transf. 37, 647 (1994).

    Article  Google Scholar 

  16. B. Ya. Balagurov and V. A. Kashin, Zh. Éksp. Teor. Fiz. 117, 978 (2000) [JETP 90, 850 (2000)].

    Google Scholar 

  17. Yu. P. Emets, Zh. Éksp. Teor. Fiz. 118, 1207 (2000) [JETP 91, 1046 (2000)].

    Google Scholar 

  18. Yu. P. Emets, Prikl. Mekh. Tekh. Fiz. 42(4), 165 (2001).

    MATH  MathSciNet  Google Scholar 

  19. K. S. Cole and R. H. Cole, J. Chem. Phys. 9, 341 (1941).

    Google Scholar 

  20. Yu. V. Obnosov, Dokl. Akad. Nauk SSSR 319, 1125 (1991) [Sov. Phys. Dokl. 36, 573 (1991)].

    MathSciNet  Google Scholar 

  21. Yu. P. Emets, Electrical Properties of Composites with Regular Structure (Naukova Dumka, Kiev, 1986), p. 191.

    Google Scholar 

  22. Yu. P. Emets, Zh. Éksp. Teor. Fiz. 96, 701 (1989) [Sov. Phys. JETP 69, 397 (1989)].

    Google Scholar 

  23. Yu. P. Emets and Yu. V. Obnosov, Dokl. Akad. Nauk SSSR 309, 319 (1989) [Sov. Phys. Dokl. 34, 972 (1989)].

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

__________

Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 121, No. 6, 2002, pp. 1339–1351.

Original Russian Text Copyright © 2002 by Emets.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Emets, Y.P. Dispersion of permittivity of two-component media. J. Exp. Theor. Phys. 94, 1149–1159 (2002). https://doi.org/10.1134/1.1493167

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1493167

Keywords

Navigation