OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 23, Iss. 24 — Dec. 15, 1984
  • pp: 4494–4498

Maxwell-Garnett theory extended for Cu–PbI2 cermets

Jean-Marc Thériault and Germain Boivin  »View Author Affiliations

Applied Optics, Vol. 23, Issue 24, pp. 4494-4498 (1984)

View Full Text Article

Enhanced HTML    Acrobat PDF (1116 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The Maxwell-Garnett theory extended to include the shape factor and the size of the metal particles embedded in a dielectric matrix is proposed to explain the observed optical constants of a Cu–PbI2 cermet material. Both the shape factor and size of the particles are obtained by a separate fit of the real and imaginary parts of the measured dielectric constant. These geometrical parameters, once determined for a particular wavelength, can be used to derive the optical constants throughout the visible spectrum. Fairly good agreement is observed for a volume fraction ranging from 0 to 12%. Alternatively, the method derived in this paper can serve as a test for various theories proposed to predict the optical properties of composite materials.

© 1984 Optical Society of America

Original Manuscript: September 17, 1984
Published: December 15, 1984

Jean-Marc Thériault and Germain Boivin, "Maxwell-Garnett theory extended for Cu–PbI2 cermets," Appl. Opt. 23, 4494-4498 (1984)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. Lord Rayleigh, “On the Influence of Obstacles Arranged in Rectangular Order upon the Properties of a Medium,” Philos. Mag. 34, 481 (1892). [CrossRef]
  2. J. C. Maxwell-Garnett, “Colours in Metal Glasses and in Metallic Films,” Philos. Trans. R. Soc. London 205, 237 (1906). [CrossRef]
  3. Electrical Transport and Optical Properties of Inhomogeneous Media, AIP Conf. Proc.40 (1978).
  4. R. W. Cohen, G. D. Cody, M. D. Coutts, B. Abeles, “Optical Properties of Granular Silver and Gold Films,” Phys. Rev. B 8, 3689 (1973). [CrossRef]
  5. R. H. Doremus, “Optical Properties of Thin Metallic Films in Island Form,” J. Appl. Phys. 37, 2775 (1966). [CrossRef]
  6. J. P. Marton, “Optical Properties of Islands Films of Metal at Long Wavelengths,” J. Appl. Phys. 40, 5383 (1969). [CrossRef]
  7. P. H. Lissberger, R. G. Nelson, “Optical Properties of Thin Film Au-MgF2 Cermets,” Thin Solid Films 21, 159 (1974). [CrossRef]
  8. C. Grosse, J. L. Greffe, “Permittivité statique des émulsions,” J. Chim. Phys. Phys. Chim. Biol. 76, 305 (1979).
  9. G. Boivin, J. M. Thériault, “Influence of Surfaces Effects in the Determination of the Optical Constants of Cu-PbI2 Cermets Films,” Appl. Opt. 23, 4245 (1984). [CrossRef] [PubMed]
  10. J. M. Thériault, Ph.D. Thesis, U. Laval (1983).
  11. G. Boivin, J. M. Thériault, “Caractéristiques optiques de la photodécomposition de cermets et d’antireflets formés de Cu-PbI2,” Can. J. Phys. 62, 811 (1984). [CrossRef]
  12. J. M. Thériault, M.Sc. Thesis, U. Laval (1979).
  13. J. M. Thériault, G. Boivin, “Cermets de Cu-PI2 en couches minces: fabrication et détermination des constantes optiques,” Can. J. Phys. 61, 612 (1983). [CrossRef]
  14. A. V. Sokolov, Optical Properties of Metals (American Elsevier, New York, 1967).
  15. C. Kittel, Introduction à l’étude de I’état solide (Dunod, Paris, 1972).
  16. L. G. Schultz, F. R. Tangherlini, “Optical Constants of Silver, Gold, Copper, and Aluminum. I. The Absorption Coefficient k,” J. Opt. Soc. Am. 44, 357 (1954). [CrossRef]
  17. P. B. Johnson, R. W. Christy, “Optical Constants of the Noble Metals,” Phys. Rev. B 6, 4370 (1972). [CrossRef]
  18. B. Abeles, P. Sheng, M. D. Coutts, Y. Arie, “Structural and Electrical Properties of Granular Metal Films,” Adv. Phys. 24, 407 (1975). [CrossRef]
  19. D. M. Wood, N. W. Ashcroft, “Effective Medium Theory of Optical Properties of Small Particle Composites,” Philos. Mag. 35, 269 (1977). [CrossRef]
  20. S. Berthier, J. Lafait, “Black Chromium Coatings: Experimental and Calculated Optical Properties using Inhomogeneous Medium Theories,” J. Phys. 40, 1093 (1979). [CrossRef]
  21. T. Hanoi, “Theory of the Dielectric Dispersion due to the Interfacial Polarisation and its Application to Emulsions,” Kolloid-Z. 171, 23 (1960). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1 Fig. 2 Fig. 3
Fig. 4

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited