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Compact group method in the theory of permittivity of heterogeneous systems

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Abstract

The static permittivity of macroscopically homogeneous and isotropic heterogeneous systems is analyzed using the concepts of compact groups of inhomogeneities. The method makes it possible to avoid excessive specification of mutual polarization processes in the system, which ensures effective application of this method for concentrated systems with arbitrary relations between the permittivities of system components. By way of example, the Maxwell-Garnett and Bruggeman formulas for the effective permittivity of heterogeneous matrix systems are reconstructed and their interrelation is analyzed. It is shown that the Bruggeman formula is more limited in the sense that it is based on additional model assumptions concerning the properties of the system and the type of averaging of fields over the volume of the system. Generalizations of these formulas are obtained for multicomponent heterogeneous systems consisting of inhomogeneous nonspherical particles or parts.

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References

  1. T. L. Chelidze, A. I. Derevyanko, and O. D. Kurilenko, Electric Spectroscopy of Heterogeneous Systems (Naukova Dumka, Kiev, 1977) [in Russian].

    Google Scholar 

  2. C. F. Bohren and P. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983; Mir, Moscow, 1986).

    Google Scholar 

  3. A. Sihvola, Electromagnetic Mixing Formulas and Applications, Vol. 47 of IEE Electromagnetic Wave Series (IEE, London, 1999).

    Google Scholar 

  4. P. Mallet, C. A. Guérin, and A. Sentenac, Phys. Rev. B 72, 014205 (2005).

    Google Scholar 

  5. M. Ya. Sushko, Zh. Eksp. Teor. Fiz. 132, 478 (2007) [JETP 105, 426 (2007)].

    Google Scholar 

  6. V. L. Kuz’min, Zh. Eksp. Teor. Fiz. 127, 1173 (2005) [JETP 100, 1035 (2005)].

    Google Scholar 

  7. 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 

  8. M. Ya. Sushko, Zh. Eksp. Teor. Fiz. 126, 1355 (2004) [JETP 99, 1183 (2004)].

    Google Scholar 

  9. L. D. Stepin, Zh. Tekh. Fiz. 35, 996 (1965) [Sov. Phys. Tech. Phys. 10 (1965)].

    Google Scholar 

  10. O. G. Vendik, N. Yu. Medvedeva, and S. P. Zubko, Pis’ma Zh. Tekh. Fiz. 34(8), 13 (2008) [Tech. Phys. Lett. 34, 323 (2008)].

    Google Scholar 

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Authors and Affiliations

  1. Mechnikov National University, ul. Dvoryanskaya 2, Odessa, 65026, Ukraine

    M. Ya. Sushko & S. K. Kris’kiv

Authors
  1. M. Ya. Sushko
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  2. S. K. Kris’kiv
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Correspondence to M. Ya. Sushko.

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Original Russian Text © M.Ya. Sushko, S.K. Kris’kiv, 2009, published in Zhurnal Tekhnicheskoĭ Fiziki, 2009, Vol. 79, No. 3, pp. 97–101.

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Sushko, M.Y., Kris’kiv, S.K. Compact group method in the theory of permittivity of heterogeneous systems. Tech. Phys. 54, 423–427 (2009). https://doi.org/10.1134/S1063784209030165

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  • DOI: https://doi.org/10.1134/S1063784209030165

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