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A microscopic theory of the reflection properties of metal-insulator composite films

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  • Robin, Thierry
  • Souillard, Bernard

Abstract

We present a microscopical approach for the reflectance of metal-insulator granular films. We incorporate in the theory the precise description of the geometrical properties of the metallic clusters as it is given by the scaling theory of percolation. We predict in particular the dependence of the reflectance with respect to the wavelength and to the concentration in the vicinity of and at the percolation threshold. Our theory predicts behaviors which strongly differ from those of effective medium theories. These results have been announced by us at the ETOPIM 2 congress. In this paper, we present the details of the calculations. We finally apply our theory to the case of the infrared properties of granular Au films; this analysis shows a good agreement of our theory with the experimental results in contrast to the effective medium theories.

Suggested Citation

  • Robin, Thierry & Souillard, Bernard, 1993. "A microscopic theory of the reflection properties of metal-insulator composite films," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 193(1), pages 79-104.
    • Handle: RePEc:eee:phsmap:v:193:y:1993:i:1:p:79-104
    DOI: 10.1016/0378-4371(93)90216-Q
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    References listed on IDEAS

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    1. Irwin Deutscher & Martha Beattie, 1988. "Success and Failure," Evaluation Review, , vol. 12(6), pages 607-624, December.
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    Cited by:

    1. Servant, Laurent & Tinet, Eric & Carmona, François & Avrillier, Sigrid, 1994. "Optical properties of random heterogeneous composite materials: from binary to ternary compounds," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 207(1), pages 92-99.
    2. Brouers, F. & Rauw, D. & Clerc, J.P., 1994. "Far infrared absorption of conducting fractal aggregates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 207(1), pages 249-257.
    3. Lafait, J., 1997. "From nano to micro between EMT and N-flux scattering theories," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 241(1), pages 320-327.
    4. Andraud, C. & Beghdadi, A. & Lafait, J., 1994. "Entropic analysis of random morphologies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 207(1), pages 208-212.
    5. Gadenne, P. & Gadenne, M. & Yagil, Y. & Deutscher, G., 1994. "What is the relevant length scale when studying percolating clusters: a critical study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 207(1), pages 228-233.

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    1. Robin, Thierry & Souillard, Bernard, 1989. "Long wavelength properties of granular metal-insulator films: A microscopic approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 157(1), pages 285-292.
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