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Optical Properties of Granular Metallic Media Near the Percolation Transition

Published online by Cambridge University Press:  28 February 2011

J. Lafait
Affiliation:
Laboratoire d'Optique des Solides, CNRS, Université Pierre et Marie Curie, 4 place Jussieu, 75252 Paris Cédex 05 -, France
S. Berthier
Affiliation:
Laboratoire d'Optique des Solides, CNRS, Université Pierre et Marie Curie, 4 place Jussieu, 75252 Paris Cédex 05 -, France
M. Gadenne
Affiliation:
Laboratoire d'Optique des Solides, CNRS, Université Pierre et Marie Curie, 4 place Jussieu, 75252 Paris Cédex 05 -, France
P. Gadenne
Affiliation:
Laboratoire d'Optique des Solides, CNRS, Université Pierre et Marie Curie, 4 place Jussieu, 75252 Paris Cédex 05 -, France
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Abstract

This review covers most of new physical aspects opened by the recent interest in the optical properties of heterogeneous media close to the percolation transition: relevant parameters and lengths, caracteristic optical behaviour (transmittance, reflectance and absorptance), theoretical models, dimensionali ty effects, discrimination between optical, electrical and morphological percolation transitions. Morphological aspects are emphasized as the key of optical properties at percolation.

Type
Research Article
Copyright
Copyright © Materials Research Society 1990

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References

REFERENCES

1.For an historical survey of the origins see: Hammersley, J.M., in Percolation Structure and Processes, Ann. of the Israel Physical Society, vol. 5, Edited by Deutscher, G., Zallen, R., Adler, J., (Hilger Ltd, Bristol, 1983) p. 47.Google Scholar
2. Fortuin, C.M. and Kasteleyn, K.W., Physica (Utrecht) 57, 536 (1972).Google Scholar
3. Kirkpatrick, S. in Electrical Transport and Optical Properties of Inhomogeneous Media, edited by Garland, J.C. and Tanner, D.B., AIP Conference Proceedings n° 40 (American Institute of Physics, New-York, 1978) p. 99.Google Scholar
4. Straley, J.P., ibid. ref.3, p. 108.Google Scholar
5. Stauffer, D., Phys. Rep. 54, 1 (1979).Google Scholar
6. Abeles, B., Pinch, H.L. and Gittleman, J.I., Phys. Rev. Lett. 35, 247 (1975).Google Scholar
7. Deutscher, G., Rappaport, M. and Ovadyahu, Z., Solid State Commun. 28, 593 (1978).Google Scholar
8. Lobb, C.J., Tinkham, M. and Skocpol, W.J., Solid State Commun. 27, 1253 (1978).Google Scholar
9. Grannan, D.M., Garland, J.C. and Tanner, D.B., Phys. Rev. Lett. 46, 375 (1981).Google Scholar
10. Laibowitz, R.B., Alessandrini, E.L. and Deutscher, G., Phys. Rev. B25, 2965 (1982).Google Scholar
11. Mandelbrot, B.B., The fractal Geometry of Nature (Freeman, San Francisco, 1982).Google Scholar
12. Voss, R.F., Laibowitz, R.B. and Alessandrini, E.I., Phys. Rev. Lett. 49, 1441 (1982).Google Scholar
13. Kapitulnik, A. and Deutscher, G., Phys. Rev. Lett. 49, 1444 (1982).Google Scholar
14. Beghdadi, A., Constans, A., Gadenne, P. and Lafait, J., Revue Phys. Appl. 21, 73 (1986).Google Scholar
15. Beghdadi, A., Gadenne, M., Gadenne, P., Lafait, J., Negrate, A. Le and Constans, A., in Proc. of 2nd Intern. Conf. on Electrical Transport and Optical Properties of Inhomogeneous Media (Paris, 1988), edited by Lafait, J. and Tanner, D.B. (North Holland Publ., Amsterdam, 1989), Physica A157, 64 (1989).Google Scholar
16. Maxwell, J.C. Garnett, Phil. Trans. R. Sos. Lond. B203, 385 (1904).Google Scholar
17. Bruggeman, D.A.G., Ann. Phys. (Leipzig) 24, 636 (1935).Google Scholar
18. Rasigni, G. and Rouard, P., J. Opt. Soc. Am. 53, 604 (1963).Google Scholar
19. Cohen, R.W., Cody, G.D., Coutts, M.D. and Abelès, B., Phys. Rev. B8, 3689 (1973).Google Scholar
20. Berthier, S. and Lafait, J., J. Phys. (Paris) 40, 1093 (1979).Google Scholar
21. Stroud, D., Phys. Rev. B19, 1783 (1979).Google Scholar
22. Lafait, J., Berthier, S. and Regalado, L.E., SPIE Proc. 652, 185 (1986).Google Scholar
23. Berthier, S., Ann. Phys. Fr. 13, 503 (1988).Google Scholar
24. Berthier, S. and Driss-Khodja, K., Optics Commun. 70, 29 (1989).Google Scholar
25. Berthier, S. and Driss-Khodja, K. : “Influence of the morphology on the optical properties of nanocermet films : a renormalization approach”. in this conference.Google Scholar
26. Yagil, Y. and Deutscher, G., Thin Solid Films 152, 465 (1987).Google Scholar
27. Gadenne, P. and Thye, M.L. in Proc. of eight international vacuum congress 1980 (Cannes) edited by Abelès, F. and Croset, M.. Le Vide et les couches minces n° 201. (Société Franqaise du Vide, Paris, 1980) p. 363.Google Scholar
28. Gibson, U.J., Craighead, H.G. and Buhrman, R.A., Phys. Rev. B25, 1449 (1982).Google Scholar
29. Gadenne, P., Beghdadi, A. and Lafait, J., Optics Commun. 65, 17 (1988).Google Scholar
30. Kunz, M., Niklasson, G.A. and Granqvist, C.G., J. Appl. Phys. 64, 3740 (1988).Google Scholar
31. Gadenne, P., Yagil, Y. and Deutscher, G., J. Appl. Phys. 66, 3019 (1989).Google Scholar
32. Gadenne, M., Thése d'Etat, Paris (1987) Unpublished.Google Scholar
33. Gadenne, M., Gadenne, P. and Lafait, J., Optics Commun. 71, 273 (1989).Google Scholar
34. Clippe, P., Edvard, R. and Lucas, A.A., Phys. Rev. B14, 1715(1976).Google Scholar
35. Yagil, Y. and Deutscher, G., Appl. Phys. Lett. 52, 73 (1988). for last developments of this model see next communication by Y. Yagil and G. Deutscher in this conference.Google Scholar
36. Robin, T. and Souillard, B., Europhys. Lett. 8, 753 (1989).Google Scholar
37. Robin, T. and Souillard, B., ibid. ref. /15/, p. 285.Google Scholar
38.An interesting approach of this problem is proposed by Bourbie, D., Olivier, G. and Mostefa, M., ibid. ref. /15/ p. 198.Google Scholar
39. Brouers, F., ibid. ref. /15/, p. 454.Google Scholar
40. Brouers, F., Clerc, J.P. and Giraud, G. : “simulations of composite optical properties close to percolation threshold”, in this conference.Google Scholar
41. Zeng, X.C., Hui, P.M. and Stroud, D., Phys. Rev. B39, 1063 (1989).Google Scholar
42. Clerc, J.P., Giraud, G., Alexander, S. and Guyon, E., Phys. Rev. B22, 2489 (1980).Google Scholar
43. Gadenne, M. and Gadenne, P., ibid. ref. /15/ p. 344.Google Scholar