Journal of Applied Spectroscopy

, Volume 79, Issue 5, pp 754–764 | Cite as

Effective optical constants of composite materials with an arbitrary volume concentration of nanoinclusions

  • A. N. Ponyavina
  • S. M. Kachan
  • E. E. Tselesh

A new mixing rule for the effective dielectric constant of composite materials is formulated on the basis of a probabilistic approach for describing the structure of granular composite structures. The advantages of the proposed model become apparent for high concentrations of inclusions with optical constants that differ significantly from those of the matrix. The distinctive feature of this model compared to the Maxwell Garnett rule is symmetry of the computational formulas and their invariance with respect to the numbering order of the materials, as well as the possibility of describing the two-mode structure of the surface plasmon resonance absorption band in metal-dielectric nanocomposites with a high concentration of the metallic phase.


densely packed nanostructures effective dielectric constant surface plasmon resonance 


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  1. 1.
    J. C. Maxwell Garnett, Philos. Trans. R. Soc. London. A, 203, 385–420 (1904).ADSCrossRefGoogle Scholar
  2. 2.
    D. A. G. Bruggeman, Ann. Phys., 24, 636–679 (1935).CrossRefGoogle Scholar
  3. 3.
    R. Ruppin, Opt. Commun., 182, 273–279 (2000).ADSCrossRefGoogle Scholar
  4. 4.
    P. Chylek, V. Srivastava, R. G. Pinnick, and R. T. Wang. Appl. Opt., 27 (12), 1–9 (1988).CrossRefGoogle Scholar
  5. 5.
    R. J. Gehr and R. W. Boyd, Chem. Mater, 8 1807–1819 (1996).CrossRefGoogle Scholar
  6. 6.
    Ping Sheng, Phys. Rev. Lett., 45 (1), 60–63 (1980).Google Scholar
  7. 7.
    B. Abeles, P. Sheng, M. D. Coutts, and Y. Arie, Adv. Phys., 24, 407–415 (1975).ADSCrossRefGoogle Scholar
  8. 8.
    E. D. Palik, ed., Handbook of Optical Constants of Solids, Academic Press Inc., Orlando (1985).Google Scholar
  9. 9.
    P. B. Johnson and R. W. Christy, Phys. Rev. B, 12, 4370–4379 (1972).ADSCrossRefGoogle Scholar
  10. 10.
    C. Bohren and D. Huffman, Absorption and Scattering of Light by Small Particles [Russian translation], Mir, Moscow (1986).Google Scholar
  11. 11.
    R. W. Cohen, G. D. Cody, M. D. Coutts, and B. Abeles, Phys. Rev. B, 8, 3689–3701 (1973).ADSCrossRefGoogle Scholar
  12. 12.
    A. Da Silva, C. Andraud, J. Lafait, and A. Dakka, J. Phys.: Condens. Matter, 12, 4125–4139 (2000).ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  • A. N. Ponyavina
    • 1
  • S. M. Kachan
    • 2
  • E. E. Tselesh
    • 1
  1. 1.B. I. Stepanov Institute of PhysicsNational Academy of Sciences of BelarusMinskBelarus
  2. 2.Belarusian National Technical UniversityMinskBelarus

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