Percolation and fractal composites: Optical studies

Journal of Nonlinear Optical Physics and Materials

Volumn 9, Issue 1, 2000, Pages 105-116

  Ducourtieux, S ^a   Gresillon S ^a   Boccara, A C ^a   Rivoal, J C ^a   Quelin, X ^b   Gadenne, P ^b   Drachev, V P ^d   Bragg, W D ^c   Safonov, V P ^e   Podolskiy, V A ^c   Ying, Z C ^c   Armstrong, R L ^c   Shalaev, Vladimir M ^c  

^a SORBONNE UNIVERSITÉ   (France)

^b LABORATOIRE DES SCIENCES DU CLIMAT ET DE L ENVIRONNEMENT   (France)

^c NEW MEXICO STATE UNIVERSITY   (United States)

^d INSTITUTE OF SEMICONDUCTOR PHYSICS   (Russian Federation)

^e INSTITUTE OF AUTOMATION AND ELECTROMETRY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

AGGREGATES; DIELECTRIC FILMS; ELECTRIC FIELDS; ELECTROMAGNETIC WAVES; NONLINEAR OPTICS; SOLVENTS; SURFACE PLASMONS;

COLLOIDAL PARTICLE; FRACTAL AGGREGATE; LOCAL FIELD DISTRIBUTION; METAL-DIELECTRIC FILMS; OPTICAL PHENOMENA; SILVER PARTICLES; SURFACE PLASMON EXCITATION; WHITE-LIGHT GENERATION;

FRACTALS;

EID: 0345753843     PISSN: 02188635     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218863500000108     Document Type: Article

References (59)

1. J. E. Sipe and R. W. Boyd, Phys. Rev. B46, 1614 (1992); R. J. Gehr, G. L. Fisher, R. W. Boyd and J. E. Sipe, Phys. Rev. A53, 2792 (1996); G. L. Fisher, R. W. Boyd, R. J. Gehr, S. A. Jenekhe, J. A. Osaheni, J. E. Sipe and L. A. Weller-Brophy, Phys. Rev. Lett. 74, 1871 (1995); R. W. Boyd, R. J. Gehr, G. L. Fisher and J. E. Sipe, Pure Appl. Opt. 5, 505 (1996).
2. J. E. Sipe and R. W. Boyd, Phys. Rev. B46, 1614 (1992); R. J. Gehr, G. L. Fisher, R. W. Boyd and J. E. Sipe, Phys. Rev. A53, 2792 (1996); G. L. Fisher, R. W. Boyd, R. J. Gehr, S. A. Jenekhe, J. A. Osaheni, J. E. Sipe and L. A. Weller-Brophy, Phys. Rev. Lett. 74, 1871 (1995); R. W. Boyd, R. J. Gehr, G. L. Fisher and J. E. Sipe, Pure Appl. Opt. 5, 505 (1996).
3. J. E. Sipe and R. W. Boyd, Phys. Rev. B46, 1614 (1992); R. J. Gehr, G. L. Fisher, R. W. Boyd and J. E. Sipe, Phys. Rev. A53, 2792 (1996); G. L. Fisher, R. W. Boyd, R. J. Gehr, S. A. Jenekhe, J. A. Osaheni, J. E. Sipe and L. A. Weller-Brophy, Phys. Rev. Lett. 74, 1871 (1995); R. W. Boyd, R. J. Gehr, G. L. Fisher and J. E. Sipe, Pure Appl. Opt. 5, 505 (1996).
4. J. E. Sipe and R. W. Boyd, Phys. Rev. B46, 1614 (1992); R. J. Gehr, G. L. Fisher, R. W. Boyd and J. E. Sipe, Phys. Rev. A53, 2792 (1996); G. L. Fisher, R. W. Boyd, R. J. Gehr, S. A. Jenekhe, J. A. Osaheni, J. E. Sipe and L. A. Weller-Brophy, Phys. Rev. Lett. 74, 1871 (1995); R. W. Boyd, R. J. Gehr, G. L. Fisher and J. E. Sipe, Pure Appl. Opt. 5, 505 (1996).
5. D. J. Bergman and D. Stroud, in Solid State Physics 46, 147 (Academic, 1992).
6. C. Flytzanis, Prog. Opt. 29, 2539 (1992); D. Ricard, Ph. Roussignol and C. Flytzanis, Opt. Lett. 10, 511 (1985); F. Hache, D. Ricard, C. Flytzanis and U. Kreibig, Appl. Phys. A47, 347 (1988).
7. C. Flytzanis, Prog. Opt. 29, 2539 (1992); D. Ricard, Ph. Roussignol and C. Flytzanis, Opt. Lett. 10, 511 (1985); F. Hache, D. Ricard, C. Flytzanis and U. Kreibig, Appl. Phys. A47, 347 (1988).
8. C. Flytzanis, Prog. Opt. 29, 2539 (1992); D. Ricard, Ph. Roussignol and C. Flytzanis, Opt. Lett. 10, 511 (1985); F. Hache, D. Ricard, C. Flytzanis and U. Kreibig, Appl. Phys. A47, 347 (1988).
9. H. B. Liao, R. F. Fiao, J. S. Fu, P. Yu, G. K. L. Wong and P. Sheng, Appl. Phys. Lett. 70, 1 (1997); K. P. Yuen, M. F. Law, K. W. Yu and P. Sheng, Phys. Rev. E56, R1322 (1997); H. B. Liao, R. F. Xiao, J. S. Fu, H. Wang, K. S. Wong and G. K. L. Wong, Opt. Lett. 23, 388 (1988); H. B. Liao, R. F. Xiao, H. Wang, K. S. Wong and G. K. L. Wong, Appl. Phys. Lett. 72, 1817 (1998); W. M. V. Wan, H. C. Lee, P. M. Hui and K. W. Yu, Phys. Rev. B54, 3946 (1996); D. Stroud and P. M. Hui, Phys. Rev. B37, 8719 (1988) .
10. H. B. Liao, R. F. Fiao, J. S. Fu, P. Yu, G. K. L. Wong and P. Sheng, Appl. Phys. Lett. 70, 1 (1997); K. P. Yuen, M. F. Law, K. W. Yu and P. Sheng, Phys. Rev. E56, R1322 (1997); H. B. Liao, R. F. Xiao, J. S. Fu, H. Wang, K. S. Wong and G. K. L. Wong, Opt. Lett. 23, 388 (1988); H. B. Liao, R. F. Xiao, H. Wang, K. S. Wong and G. K. L. Wong, Appl. Phys. Lett. 72, 1817 (1998); W. M. V. Wan, H. C. Lee, P. M. Hui and K. W. Yu, Phys. Rev. B54, 3946 (1996); D. Stroud and P. M. Hui, Phys. Rev. B37, 8719 (1988) .
11. H. B. Liao, R. F. Fiao, J. S. Fu, P. Yu, G. K. L. Wong and P. Sheng, Appl. Phys. Lett. 70, 1 (1997); K. P. Yuen, M. F. Law, K. W. Yu and P. Sheng, Phys. Rev. E56, R1322 (1997); H. B. Liao, R. F. Xiao, J. S. Fu, H. Wang, K. S. Wong and G. K. L. Wong, Opt. Lett. 23, 388 (1988); H. B. Liao, R. F. Xiao, H. Wang, K. S. Wong and G. K. L. Wong, Appl. Phys. Lett. 72, 1817 (1998); W. M. V. Wan, H. C. Lee, P. M. Hui and K. W. Yu, Phys. Rev. B54, 3946 (1996); D. Stroud and P. M. Hui, Phys. Rev. B37, 8719 (1988) .
12. H. B. Liao, R. F. Fiao, J. S. Fu, P. Yu, G. K. L. Wong and P. Sheng, Appl. Phys. Lett. 70, 1 (1997); K. P. Yuen, M. F. Law, K. W. Yu and P. Sheng, Phys. Rev. E56, R1322 (1997); H. B. Liao, R. F. Xiao, J. S. Fu, H. Wang, K. S. Wong and G. K. L. Wong, Opt. Lett. 23, 388 (1988); H. B. Liao, R. F. Xiao, H. Wang, K. S. Wong and G. K. L. Wong, Appl. Phys. Lett. 72, 1817 (1998); W. M. V. Wan, H. C. Lee, P. M. Hui and K. W. Yu, Phys. Rev. B54, 3946 (1996); D. Stroud and P. M. Hui, Phys. Rev. B37, 8719 (1988) .
13. H. B. Liao, R. F. Fiao, J. S. Fu, P. Yu, G. K. L. Wong and P. Sheng, Appl. Phys. Lett. 70, 1 (1997); K. P. Yuen, M. F. Law, K. W. Yu and P. Sheng, Phys. Rev. E56, R1322 (1997); H. B. Liao, R. F. Xiao, J. S. Fu, H. Wang, K. S. Wong and G. K. L. Wong, Opt. Lett. 23, 388 (1988); H. B. Liao, R. F. Xiao, H. Wang, K. S. Wong and G. K. L. Wong, Appl. Phys. Lett. 72, 1817 (1998); W. M. V. Wan, H. C. Lee, P. M. Hui and K. W. Yu, Phys. Rev. B54, 3946 (1996); D. Stroud and P. M. Hui, Phys. Rev. B37, 8719 (1988) .
14. H. B. Liao, R. F. Fiao, J. S. Fu, P. Yu, G. K. L. Wong and P. Sheng, Appl. Phys. Lett. 70, 1 (1997); K. P. Yuen, M. F. Law, K. W. Yu and P. Sheng, Phys. Rev. E56, R1322 (1997); H. B. Liao, R. F. Xiao, J. S. Fu, H. Wang, K. S. Wong and G. K. L. Wong, Opt. Lett. 23, 388 (1988); H. B. Liao, R. F. Xiao, H. Wang, K. S. Wong and G. K. L. Wong, Appl. Phys. Lett. 72, 1817 (1998); W. M. V. Wan, H. C. Lee, P. M. Hui and K. W. Yu, Phys. Rev. B54, 3946 (1996); D. Stroud and P. M. Hui, Phys. Rev. B37, 8719 (1988) .
15. U. Kreibig and M. Vollmer, Optical Properties of Metal Clusters (Springer-Verlag, Berlin Heidelberg, 1995
16. Electrical Transport and Optical Properties of Inhomogeneous Media, eds. J. C. Garland and D. B. Tanner (AIP, New York, 1978); Electrical Transport and Optical Properties of Inhomogeneous Media (ETOPIM 2), eds. J. Laffait and D. B. Tanner, Physica A157, p. 1 (1988); Electrical Transport and Optical Properties of Inhomogeneous Media (ETOPIM 3), eds. W. L. Mochan and R. G. Barrera, North-Holland, Amsterdam (1994); Physica A241, Nos. 1-2, pp. 1-452 (1997); Proceedings of the Fourth International Conference on Electrical Transport and Optical Properties of Inhomogeneous Media (ETOPIM 4), eds. A. M. Dykhne, A. N. Lagarkov and A. K. Sarychev.
17. Electrical Transport and Optical Properties of Inhomogeneous Media, eds. J. C. Garland and D. B. Tanner (AIP, New York, 1978); Electrical Transport and Optical Properties of Inhomogeneous Media (ETOPIM 2), eds. J. Laffait and D. B. Tanner, Physica A157, p. 1 (1988); Electrical Transport and Optical Properties of Inhomogeneous Media (ETOPIM 3), eds. W. L. Mochan and R. G. Barrera, North-Holland, Amsterdam (1994); Physica A241, Nos. 1-2, pp. 1-452 (1997); Proceedings of the Fourth International Conference on Electrical Transport and Optical Properties of Inhomogeneous Media (ETOPIM 4), eds. A. M. Dykhne, A. N. Lagarkov and A. K. Sarychev.
18. Electrical Transport and Optical Properties of Inhomogeneous Media, eds. J. C. Garland and D. B. Tanner (AIP, New York, 1978); Electrical Transport and Optical Properties of Inhomogeneous Media (ETOPIM 2), eds. J. Laffait and D. B. Tanner, Physica A157, p. 1 (1988); Electrical Transport and Optical Properties of Inhomogeneous Media (ETOPIM 3), eds. W. L. Mochan and R. G. Barrera, North-Holland, Amsterdam (1994); Physica A241, Nos. 1-2, pp. 1-452 (1997); Proceedings of the Fourth International Conference on Electrical Transport and Optical Properties of Inhomogeneous Media (ETOPIM 4), eds. A. M. Dykhne, A. N. Lagarkov and A. K. Sarychev.
19. Electrical Transport and Optical Properties of Inhomogeneous Media, eds. J. C. Garland and D. B. Tanner (AIP, New York, 1978); Electrical Transport and Optical Properties of Inhomogeneous Media (ETOPIM 2), eds. J. Laffait and D. B. Tanner, Physica A157, p. 1 (1988); Electrical Transport and Optical Properties of Inhomogeneous Media (ETOPIM 3), eds. W. L. Mochan and R. G. Barrera, North-Holland, Amsterdam (1994); Physica A241, Nos. 1-2, pp. 1-452 (1997); Proceedings of the Fourth International Conference on Electrical Transport and Optical Properties of Inhomogeneous Media (ETOPIM 4), eds. A. M. Dykhne, A. N. Lagarkov and A. K. Sarychev.
20. Electrical Transport and Optical Properties of Inhomogeneous Media, eds. J. C. Garland and D. B. Tanner (AIP, New York, 1978); Electrical Transport and Optical Properties of Inhomogeneous Media (ETOPIM 2), eds. J. Laffait and D. B. Tanner, Physica A157, p. 1 (1988); Electrical Transport and Optical Properties of Inhomogeneous Media (ETOPIM 3), eds. W. L. Mochan and R. G. Barrera, North-Holland, Amsterdam (1994); Physica A241, Nos. 1-2, pp. 1-452 (1997); Proceedings of the Fourth International Conference on Electrical Transport and Optical Properties of Inhomogeneous Media (ETOPIM 4), eds. A. M. Dykhne, A. N. Lagarkov and A. K. Sarychev.
21. P. Gadenne, Thin Solid Films 57, 77 (1979).
22. V. M. Shalaev, Nonlinear Optics of Random Media: Fractal Composites and Metal-Dielectric Films (Springer, Berlin, Heidelberg, STMP v. 158, 2000).
23. D. Stauffer and A. Aharony, Introduction to Percolation Theory, 2nd ed. (Taylor and Francis, Philadelphia, 1991).
24. V. M. Shalaev and A. K. Sarychev, Phys. Rev. B57, 13265 (1998); A. K. Sarychev and V. M. Shalaev, Physica A266, 115 (1999); A. K. Sarychev, V. A. Shubin and V. M. Shalaev, Phys. Rev. E59, 7239 (1999); F. Brouers, S. Blacher, A. N. Lagarkov, A. K. Sarychev, P. Gadenne and V. M. Shalaev, Phys. Rev. B55, 13234 (1997); V. A. Shubin, A. K. Sarychev and V. M. Shalaev, Phys. Rev. B, in press.
25. V. M. Shalaev and A. K. Sarychev, Phys. Rev. B57, 13265 (1998); A. K. Sarychev and V. M. Shalaev, Physica A266, 115 (1999); A. K. Sarychev, V. A. Shubin and V. M. Shalaev, Phys. Rev. E59, 7239 (1999); F. Brouers, S. Blacher, A. N. Lagarkov, A. K. Sarychev, P. Gadenne and V. M. Shalaev, Phys. Rev. B55, 13234 (1997); V. A. Shubin, A. K. Sarychev and V. M. Shalaev, Phys. Rev. B, in press.
26. V. M. Shalaev and A. K. Sarychev, Phys. Rev. B57, 13265 (1998); A. K. Sarychev and V. M. Shalaev, Physica A266, 115 (1999); A. K. Sarychev, V. A. Shubin and V. M. Shalaev, Phys. Rev. E59, 7239 (1999); F. Brouers, S. Blacher, A. N. Lagarkov, A. K. Sarychev, P. Gadenne and V. M. Shalaev, Phys. Rev. B55, 13234 (1997); V. A. Shubin, A. K. Sarychev and V. M. Shalaev, Phys. Rev. B, in press.
27. V. M. Shalaev and A. K. Sarychev, Phys. Rev. B57, 13265 (1998); A. K. Sarychev and V. M. Shalaev, Physica A266, 115 (1999); A. K. Sarychev, V. A. Shubin and V. M. Shalaev, Phys. Rev. E59, 7239 (1999); F. Brouers, S. Blacher, A. N. Lagarkov, A. K. Sarychev, P. Gadenne and V. M. Shalaev, Phys. Rev. B55, 13234 (1997); V. A. Shubin, A. K. Sarychev and V. M. Shalaev, Phys. Rev. B, in press.
28. V. M. Shalaev and A. K. Sarychev, Phys. Rev. B57, 13265 (1998); A. K. Sarychev and V. M. Shalaev, Physica A266, 115 (1999); A. K. Sarychev, V. A. Shubin and V. M. Shalaev, Phys. Rev. E59, 7239 (1999); F. Brouers, S. Blacher, A. N. Lagarkov, A. K. Sarychev, P. Gadenne and V. M. Shalaev, Phys. Rev. B55, 13234 (1997); V. A. Shubin, A. K. Sarychev and V. M. Shalaev, Phys. Rev. B, in press.
29. S. Gresillon, L. Aigouy, A. C. Boccara, J. C. Rivoal, X. Quelin, C. Desmarest, P. Gadenne, V. A. Shubin, A. K. Sarychev and V. M. Shalaev, Phys. Rev. Lett. 82, 4520 (1999).
30. R. Bachelot et al., Appl. Opt. 36, 2160 (1997); P. Gleyzes et al., Appl. Phys. Lett. 58, 2989 (1991); A. Lahrech et al., Opt. Lett. 21, 1315 (1996).
31. R. Bachelot et al., Appl. Opt. 36, 2160 (1997); P. Gleyzes et al., Appl. Phys. Lett. 58, 2989 (1991); A. Lahrech et al., Opt. Lett. 21, 1315 (1996).
32. R. Bachelot et al., Appl. Opt. 36, 2160 (1997); P. Gleyzes et al., Appl. Phys. Lett. 58, 2989 (1991); A. Lahrech et al., Opt. Lett. 21, 1315 (1996).
33. P. Gadenne et al., J. Appl. Phys. 66, 3019 (1989); Y. Yagil et al., Phys. Rev. B46, 2503 (1992).
34. P. Gadenne et al., J. Appl. Phys. 66, 3019 (1989); Y. Yagil et al., Phys. Rev. B46, 2503 (1992).
35. R. W. Boyd, Nonlinear Optics (Academic, 1992).
36. R. R. Alfano and S. L. Shapiro, Phys. Rev. Lett. 24, 592 (1970); G. Yang and Y. R. Sheng, Opt. Lett. 9, 510 (1984); J. T. Manassah, M. A. Mustafa, R. R. Alfano and P. P. Ho, IEEE J. Quantum Electron. 224, 197 (1986); P. B. Corkum, C. Rolland and T. Srinivasan-Rao, Phys. Rev. Lett. 57, 2268 (1986); R. L. Fork, C. V. Shank, C. Hirliman, R. Yen and W. J. Tomlinson, Opt. Lett. 8, 1 (1983).
37. R. R. Alfano and S. L. Shapiro, Phys. Rev. Lett. 24, 592 (1970); G. Yang and Y. R. Sheng, Opt. Lett. 9, 510 (1984); J. T. Manassah, M. A. Mustafa, R. R. Alfano and P. P. Ho, IEEE J. Quantum Electron. 224, 197 (1986); P. B. Corkum, C. Rolland and T. Srinivasan-Rao, Phys. Rev. Lett. 57, 2268 (1986); R. L. Fork, C. V. Shank, C. Hirliman, R. Yen and W. J. Tomlinson, Opt. Lett. 8, 1 (1983).
38. R. R. Alfano and S. L. Shapiro, Phys. Rev. Lett. 24, 592 (1970); G. Yang and Y. R. Sheng, Opt. Lett. 9, 510 (1984); J. T. Manassah, M. A. Mustafa, R. R. Alfano and P. P. Ho, IEEE J. Quantum Electron. 224, 197 (1986); P. B. Corkum, C. Rolland and T. Srinivasan-Rao, Phys. Rev. Lett. 57, 2268 (1986); R. L. Fork, C. V. Shank, C. Hirliman, R. Yen and W. J. Tomlinson, Opt. Lett. 8, 1 (1983).
39. R. R. Alfano and S. L. Shapiro, Phys. Rev. Lett. 24, 592 (1970); G. Yang and Y. R. Sheng, Opt. Lett. 9, 510 (1984); J. T. Manassah, M. A. Mustafa, R. R. Alfano and P. P. Ho, IEEE J. Quantum Electron. 224, 197 (1986); P. B. Corkum, C. Rolland and T. Srinivasan-Rao, Phys. Rev. Lett. 57, 2268 (1986); R. L. Fork, C. V. Shank, C. Hirliman, R. Yen and W. J. Tomlinson, Opt. Lett. 8, 1 (1983).
40. R. R. Alfano and S. L. Shapiro, Phys. Rev. Lett. 24, 592 (1970); G. Yang and Y. R. Sheng, Opt. Lett. 9, 510 (1984); J. T. Manassah, M. A. Mustafa, R. R. Alfano and P. P. Ho, IEEE J. Quantum Electron. 224, 197 (1986); P. B. Corkum, C. Rolland and T. Srinivasan-Rao, Phys. Rev. Lett. 57, 2268 (1986); R. L. Fork, C. V. Shank, C. Hirliman, R. Yen and W. J. Tomlinson, Opt. Lett. 8, 1 (1983).
41. V. P. Drachev et al., JETP Letts. 68, 651 (1998).
42. V. M. Shalaev, Phys. Rep. 272, 61 (1996); V. P. Safonov et al., Phys. Rev. Lett. 80, 1102 (1998); W. Kim et al., Phys. Rev. Lett. 82, 4811 (1999).
43. V. M. Shalaev, Phys. Rep. 272, 61 (1996); V. P. Safonov et al., Phys. Rev. Lett. 80, 1102 (1998); W. Kim et al., Phys. Rev. Lett. 82, 4811 (1999).
44. V. M. Shalaev, Phys. Rep. 272, 61 (1996); V. P. Safonov et al., Phys. Rev. Lett. 80, 1102 (1998); W. Kim et al., Phys. Rev. Lett. 82, 4811 (1999).
45. M. Kauranen et al., J. Mod. Opt. 45, 403 (1998).
46. V. M. Shalaev and M. I. Stockman, Sov. Phys. JETP 65, 287 (1987); V. A. Markel et al., Phys. Rev. B43, 8183 (1991).
47. V. M. Shalaev and M. I. Stockman, Sov. Phys. JETP 65, 287 (1987); V. A. Markel et al., Phys. Rev. B43, 8183 (1991).
48. D. Keller et al., Biopolymers, 24, 783 (1985);
49. S. B. Singham et al., J. Chem. Phys. 85(2), 763 (1986).
50. L. D. Barren, Molecular Light Scattering and Optical Activity (Cambridge University Press, 1982).
51. C. Bohren and D. Huffman, Absorption and Scattering of Light by Small Particles (John Wiley & Sons, 1983).
52. M. I. Stockman, Phys. Rev. Lett. 79, 4562 (1997); M. I. Stockman, Phys. Rev. E56, 6494 (1997).
53. M. I. Stockman, Phys. Rev. Lett. 79, 4562 (1997); M. I. Stockman, Phys. Rev. E56, 6494 (1997).
54. D. P. Tsai et al., Phys. Rev. Lett. 72, 4149 (1994); S. I. Bozhevolnyi et al., Phys. Rev. B58, 11441 (1998).
55. D. P. Tsai et al., Phys. Rev. Lett. 72, 4149 (1994); S. I. Bozhevolnyi et al., Phys. Rev. B58, 11441 (1998).
56. V. A. Markel et al., Phys. Rev. B59, 10903 (1999).
57. W. D. Bragg et al., J. Microscopy 194, 574 (1999).
58. P. Zhang, Ph.D. Thesis, Univ. of Toronto (1997).
59. S. I. Bozhevolnyi, Phys. Rev. B54, 8177 (1996).