Electromagnetic properties of small-particle composites

Physics Report

Volumn 272, Issue 2-3, 1996, Pages 61-137

  Shalaev, Vladimir M ^a  

^a NEW MEXICO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030194085     PISSN: 03701573     EISSN: None     Source Type: Journal    
DOI: 10.1016/0370-1573(95)00076-3     Document Type: Review

References (226)

1. [1] Electron Transport and Optical Properties of Inhomogeneous Media, eds. J.C. Garland and D.B. Tanner, AIP, New York (1978); Electron Transport and Optical Properties of Inhomogeneous Media (ETOPIM 3), eds. W.L. Mochan and R.G. Barrera, North-Holland, Amsterdam (1994).
2. [1] Electron Transport and Optical Properties of Inhomogeneous Media, eds. J.C. Garland and D.B. Tanner, AIP, New York (1978); Electron Transport and Optical Properties of Inhomogeneous Media (ETOPIM 3), eds. W.L. Mochan and R.G. Barrera, North-Holland, Amsterdam (1994).
3. [2] B.B. Mandelbrot, The Fractal Geometry of Nature (Freeman, San Francisco, 1982).
4. [3] B. Sapoval, Fractals (Aditech, Paris, 1990).
5. [4] A. Bunde and S. Havlin. In: Fractals and Disordered Systems (eds. A. Bunde and S. Havlin), Springer Verlag, Heidelberg 1991.
6. [5] S. Alexander and R. Orbach, J. Physique - Lettres 43 (1982) 625.
7. [6] R. Rammal and G. Toulouse, J. Physique - Lettres 44 (1983) 13.
8. [7] H.E. Stanley, J. Phys. A 10 (1977) L211.
9. [8] S. Kirkpatrick, Reviews of Modern Physics 45 (1973) 574.
10. [9] J.P. Clerc, G. Girard, J.M. Laugier and J.M. Luck, Advances in Physics 39 (1990) 191.
11. [10] A.L. Efros and B.I. Shklovskii, Phys. Stat. Sol. 76 (1976) 475.
12. [11] J.P. Straley, J. Phys. C: Solid State Phys. 9 (1976) 783.
13. [12] PC. Hohenberg, B.I. Halperin, Reviews of Modern Physics 49 (1977) 435.
14. [13] Electrophysical Properties of Percolation Systems, ed: A. N. Lagar'kov (Moscow, 1990).
15. [14] D. Stroud and D. Bergman, Phys. Rev. B 25 (1982) 2061.
16. [15] Y. Yagil, M. Yosefin, D.J. Bergman, G. Deutscher, P. Gadenne, Phys. Rev. B 43 (1991) 11 342.
17. [16] Y. Gefen, A. Aharony, and S. Alexander, Phys. Rev. Lett. 50 (1983) 77.
18. [17] P.R. Devaty, Phys. Rev. B 44 (1991) 593.
19. [18] X. Zhang and D. Stroud, Phys. Rev. B 48 (1993) 6658.
20. [19] G.A. Niklasson, J. Appl. Phys. 62 (1987) R1; Physica D 38 (1989) 260.
21. [19] G.A. Niklasson, J. Appl. Phys. 62 (1987) R1; Physica D 38 (1989) 260.
22. [20] J.P. Straley, J. Phys. C 13 (1980) 819.
23. [21] D.J. Bergman and D. Stroud. In: Solid State Physics 46 (1992) 147.
24. [22] V.M. Shalaev, M.I. Stockman, Zh. Eksp. Teor. Fiz. 92 (1987) 509 [Sov. Phys. JETP 65 (1987) 287]; Z. Phys. D-Atoms, Molecules and Clusters, 10 (1988) 71.
25. [22] V.M. Shalaev, M.I. Stockman, Zh. Eksp. Teor. Fiz. 92 (1987) 509 [Sov. Phys. JETP 65 (1987) 287]; Z. Phys. D-Atoms, Molecules and Clusters, 10 (1988) 71.
26. [22] V.M. Shalaev, M.I. Stockman, Zh. Eksp. Teor. Fiz. 92 (1987) 509 [Sov. Phys. JETP 65 (1987) 287]; Z. Phys. D-Atoms, Molecules and Clusters, 10 (1988) 71.
27. D(z) of Ref. [24] that corrects the former one.]
28. D(z) of Ref. [24] that corrects the former one.]
29. D(z) of Ref. [24] that corrects the former one.]
30. [24] V.A. Markel, L.S. Muratov, and M.I. Stockman, Zh. Eksp. Teor. Fiz. 98 (1990) 819 (Sov. Phys. JETP 71 (1990) 455); V.A. Markel, L.S. Muratov, M.I. Stockman, and T.F. George, Phys. Rev. B 43 (1991) 8183.
31. [24] V.A. Markel, L.S. Muratov, and M.I. Stockman, Zh. Eksp. Teor. Fiz. 98 (1990) 819 (Sov. Phys. JETP 71 (1990) 455); V.A. Markel, L.S. Muratov, M.I. Stockman, and T.F. George, Phys. Rev. B 43 (1991) 8183.
32. [24] V.A. Markel, L.S. Muratov, and M.I. Stockman, Zh. Eksp. Teor. Fiz. 98 (1990) 819 (Sov. Phys. JETP 71 (1990) 455); V.A. Markel, L.S. Muratov, M.I. Stockman, and T.F. George, Phys. Rev. B 43 (1991) 8183.
33. [25] M.I. Stockman, T.F. George, and V.M. Shalaev, Phys. Rev. B 44 (1991) 115.
34. [26] V.M. Shalaev, R. Botet, and R. Jullien, Phys. Rev. B 44 (1991) 12216; ibid. 45 (1992) 7592 (E).
35. [26] V.M. Shalaev, R. Botet, and R. Jullien, Phys. Rev. B 44 (1991) 12216; ibid. 45 (1992) 7592 (E).
36. [27] V.M. Shalaev, M. Moskovits, A.A. Golubentsev, and S. John, Physica A 191 (1992) 352.
37. [28] M.I. Stockman, V.M. Shalaev, M. Moskovits, R. Botet, and T.F. George, Phys. Rev. B 46 (1992) 2821.
38. [29] V.M. Shalaev, R. Botet, A.V. Butenko, Phys. Rev. B 48 (1993) 6662.
39. [30] V.M. Shalaev, M.I. Stockman, & R. Botet, Physica A 185 (1992) 181.
40. [31] M.I. Stockman, L.N. Pandey, L.S. Muratov, and T. F. George, Phys. Rev. Lett. 72 (1994) 2486.
41. [32] V.M. Shalaev, R. Botet, Phys. Rev. B 50 (1994) 12987.
42. [33] V.M. Shalaev, V.A. Markel, V.P. Safonov, Fractals 2 (1994) 201; V.M. Shalaev, R. Botet, D.P. Tsai, J. Kovacs, M. Moskovits, Physica A 207 (1994) 197.
43. [33] V.M. Shalaev, V.A. Markel, V.P. Safonov, Fractals 2 (1994) 201; V.M. Shalaev, R. Botet, D.P. Tsai, J. Kovacs, M. Moskovits, Physica A 207 (1994) 197.
44. [34] M.I. Stockman, L.N. Pandey, L.S. Muratov, and T. F. George, Phys. Rev. B 51 (1995).
45. [35] J.C. M. Garnett, Phil. Trans. R. Soc. L. 203 (1904) 385; ibid. 205 (1906) 237.
46. [35] J.C. M. Garnett, Phil. Trans. R. Soc. L. 203 (1904) 385; ibid. 205 (1906) 237.
47. [36] R. Clausius, Mechanishe Warmetheorie, Brounschweig, 2 (1878) 62.
48. [37] O.F. Mossotti, Mem. Soc. Sci. Modena, 14 (1850) 49.
49. [38] H.A. Lorentz, Wiedem. Ann. 9 (1880) 641.
50. [39] L. Lorentz, Wieden. Ann. 11 (1881).
51. [40] D.A. G. Bruggeman, Ann. Physik. (Leipzig) 24 (1935) 636.
52. [41] D.J. Bergman, Physics Reports 43 (1978) 377.
53. [42] D. Stroud, Phys. Rev. B 19 (1979) 1783.
54. [43] K.D. Cummings, J.C. Garland, and D.B. Tanner, Phys. Rev. B 30 (1984) 4170.
55. [44] R. Ruppin, Phys. Rev. B 19 (1979) 1318.
56. [45] P.N. Sen and D.B. Tanner, Phys. Rev. B 26 (1982) 3582.
57. [46] D.M. Wood and N.W. Ashcroft, Phys. Rev. B 25 (1982) 6255.
58. [47] P. Chylek, D. Boice, and R.G. Pinnick, Phys. Rev. B 27 (1983) 5107.
59. [48] B.N. J. Persson and A. Liesch, Phys. Rev. B 28 (1983) 4247.
60. [49] D.B. Tanner, Phys. Rev. B 30 (1984) 1042.
61. [50] G.S. Agarwal and R. Ingura, Phys. Rev. B 30 (1984) 6108.
62. [51] A. Bittar, S. Berthier, and J. Lafait, J. Phys. (Paris) 45 (1984) 623.
63. [52] W.A. Curtin, R.C. Spitzer, N.W. Ashcroft, and A. J. Sievers, Phys. Rev. Lett. 54 (1985) 1071.
64. [53] R.S. Koss and D. Stroud, Phys. Rev. B 32 (1985) 3456.
65. [54] P.M. Hui and D. Stroud, Phys. Rev. B 33 (1986) 2163.
66. [55] G.A. Niklasson and C.G. Grankvist, Phys. Rev. Lett. 56 (1986) 256.
67. [56] V.A. Davis and L. Schwartz, Phys. Rev. B 31 (1985) 5155; ibid. 33 (1986) 6627.
68. [56] V.A. Davis and L. Schwartz, Phys. Rev. B 31 (1985) 5155; ibid. 33 (1986) 6627.
69. [57] R. Fuchs, Phys. Rev. B 11 (1975) 1732.
70. [58] R. Fuchs, Phys. Rev. B 35 (1987) 7700.
71. [59] R. Rojas, F. Claro, and R. Fuchs, Phys. Rev. B 37 (1988) 6799.
72. [60] Zhe Chen, Ping Sheng, D.A. Wetz, H.M. Lindsay, M. Y. Lin, and P. Meakin, Phys. Rev. B 37 (1988) 5232.
73. [61] R.G. Barrera, G. Monsivais, and W.L. Mochan, Phys. Rev. B 38 (1988) 5371.
74. [62] P.N. Sen, C. Scala, and M.H. Cohen, Geophys. 46 (1981) 781.
75. [63] P. Sheng, X. Jing, M. Zhou, Physica A 207 (1994) 37.
76. [64] P. Sheng and Z. Chen, Phys. Rev. Lett. 60 (1988) 227.
77. [65] Z. Chen, P. Sheng, D.A. Weitz, H.M. Lindsay, M. Y. Lin, P. Meakin, Phys. Rev. B 37 (1988) 5232.
78. [66] S. Torquato, Physica A 207 (1994) 79.
79. [67] X.C. Zeng, P.M. Hui, D.J. Bergman, D. Stroud, Phys. Rev. B 39 (1989) 13224.
80. [68] B. Derrida and J. Vannimenus, J. Phys. A 15 (1982) L557; B. Derrida, D. Stauffer, H.J. Herrmann, and J. Vannimenus, J. Phys. Lett. 44 (1983) L701; H.J. Herrmann, B. Derrida, and J. Vannimenus, Phys. Rev. B 30 (1984) 4080.
81. [68] B. Derrida and J. Vannimenus, J. Phys. A 15 (1982) L557; B. Derrida, D. Stauffer, H.J. Herrmann, and J. Vannimenus, J. Phys. Lett. 44 (1983) L701; H.J. Herrmann, B. Derrida, and J. Vannimenus, Phys. Rev. B 30 (1984) 4080.
82. [68] B. Derrida and J. Vannimenus, J. Phys. A 15 (1982) L557; B. Derrida, D. Stauffer, H.J. Herrmann, and J. Vannimenus, J. Phys. Lett. 44 (1983) L701; H.J. Herrmann, B. Derrida, and J. Vannimenus, Phys. Rev. B 30 (1984) 4080.
83. [69] D.J. Frank and C.J. Lobb, Phys. Rev. B 37 (1988) 302.
84. [70] I. Hoffmann and D. Stroud, Phys. Rev. B 43 (1991) 9965.
85. [71] F. Brouers, J.P. Clerc, G. Giraud, J.M. Laugier, and Z.A. Randriamanantany, Phys. Rev. B 47 (1993) 666.
86. [72] F. Brouers, J.M. Jolet, G. Giraud, J.M. Laugier, and Z.A. Randriamanantany, Physica A 207 (1994) 100.
87. [73] Ping Sheng, Phys. Rev. Lett. 45 (1980) 60.
88. [74] X.C. Zeng, P.M. Hui, D. Stroud, Phys. Rev. B 39 (1989) 1063.
89. [75] I.H. H. Zabel and D. Stroud, Phys. Rev. B 46 (1992) 8132.
90. [76] S. Alexander, Phys. Rev. B 40 (1989) 7953.
91. [77] F. Brouers, D. Rauw, J.P. Clerc and G. Giraud, Phys. Rev. B 49 (1994) 14582.
92. [78] T. Robin and B. Souillard, Europhys. Lett. 21 (1993) 273.
93. [79] D.J. Bergman, Phys. Rev. B 14 (1976) 4304; D. J. Bergman. In: Electron Transport and Optical Properties of Inhomogeneous Media, Eds: J.C. Garland and D.B. Tanner, (AIP, New York, 1978) 46.
94. [79] D.J. Bergman, Phys. Rev. B 14 (1976) 4304; D. J. Bergman. In: Electron Transport and Optical Properties of Inhomogeneous Media, Eds: J.C. Garland and D.B. Tanner, (AIP, New York, 1978) 46.
95. [80] R. Fuchs. In: Electron Transport and Optical Properties of Inhomogeneous Media, Eds: J.C. Garland and D.B. Tanner, (AIP, New York, 1978) 276.
96. [81] K. Ghosh and R. Fuchs, Phys. Rev. B 38 (1988) 5222.
97. [82] R. Fuchs, F. Claro, Phys. Rev. B 39 (1989) 3875.
98. [83] K. Ghosh, R. Fuchs, Phys. Rev. B 44 (1991) 7330.
99. [84] F. Claro, R. Fuchs, Phys. Rev. B 44 (1991) 4109.
100. [85] G. Milton, J. Appl. Phys. 52 (1981) 5286.
101. [86] D. Stroud, G.W. Milton, and B.R. De, Phys. Rev. B 34 (1986) 5145.
102. [87] R. Fuchs, K. Ghosh, Physica A 207 (1994) 185.
103. [88] T.C. Halsey, M.H. Jensen, L.P. Kadanoff, I. Procaccia, B.I. Shraiman, Phys. Rev. A 33 (1986) 1141.
104. [89] S. Alexander, C. Laermans, R. Orbach, and H. M. Rosenberg, Phys. Rev. B 28 (1983) 4615.
105. [90] E. Courtens, J. Pelous, J. Phalippou, R. Vacher, and T. Woignier, Phys. Rev. Lett 58 (1987) 128; E. Courtens, C. Lartigue, F. Mezei, R. Vacher, G. Goddens, M. Forret, J. Pelous, and T. Woignier, Z. Phys. B 79 (1990) 1; R. Vacher, E. Courtens, G. Goddens, J. Pelous, and T. Woignier, Phys. Rev. B 39 (1989) 7384.
106. [90] E. Courtens, J. Pelous, J. Phalippou, R. Vacher, and T. Woignier, Phys. Rev. Lett 58 (1987) 128; E. Courtens, C. Lartigue, F. Mezei, R. Vacher, G. Goddens, M. Forret, J. Pelous, and T. Woignier, Z. Phys. B 79 (1990) 1; R. Vacher, E. Courtens, G. Goddens, J. Pelous, and T. Woignier, Phys. Rev. B 39 (1989) 7384.
107. [90] E. Courtens, J. Pelous, J. Phalippou, R. Vacher, and T. Woignier, Phys. Rev. Lett 58 (1987) 128; E. Courtens, C. Lartigue, F. Mezei, R. Vacher, G. Goddens, M. Forret, J. Pelous, and T. Woignier, Z. Phys. B 79 (1990) 1; R. Vacher, E. Courtens, G. Goddens, J. Pelous, and T. Woignier, Phys. Rev. B 39 (1989) 7384.
108. [91] A. Boukenter, B. Champagnon, E. Duval, J. Dumas, J. F. Quinson, J. Serughetti, Phys. Rev. Lett. 57 (1986) 2391; E. Duval, G. Mariotto, M. Montagna, O. Pilla, G. Viliani, M. Barland, Europh. Lett. 3 (1987) 333; E. Duval, V.N. Novikov, and A. Boukenter, Phys. Rev. B 48 (1993) 16785.
109. [91] A. Boukenter, B. Champagnon, E. Duval, J. Dumas, J. F. Quinson, J. Serughetti, Phys. Rev. Lett. 57 (1986) 2391; E. Duval, G. Mariotto, M. Montagna, O. Pilla, G. Viliani, M. Barland, Europh. Lett. 3 (1987) 333; E. Duval, V.N. Novikov, and A. Boukenter, Phys. Rev. B 48 (1993) 16785.
110. [91] A. Boukenter, B. Champagnon, E. Duval, J. Dumas, J. F. Quinson, J. Serughetti, Phys. Rev. Lett. 57 (1986) 2391; E. Duval, G. Mariotto, M. Montagna, O. Pilla, G. Viliani, M. Barland, Europh. Lett. 3 (1987) 333; E. Duval, V.N. Novikov, and A. Boukenter, Phys. Rev. B 48 (1993) 16785.
111. [92] G. Mariotto, M. Montagna, G. Viliani, E. Duval, S. Lefrant, E. Rzepka, C. Mai, Europh. Lett. 6 (1988) 239; O. Pilla, G. Viliani, M. Montagna, V. Mazzcurati, G. Ruocco, G. Signorelli, Philosoph. Magaz. B 65 (1992) 243; P. Benassi, O. Pilla, V. Mazzacurati, M. Montagna, G. Ruocco, G. Signorelli, Phys. Rev. B 44 (1991) 11734.
112. [92] G. Mariotto, M. Montagna, G. Viliani, E. Duval, S. Lefrant, E. Rzepka, C. Mai, Europh. Lett. 6 (1988) 239; O. Pilla, G. Viliani, M. Montagna, V. Mazzcurati, G. Ruocco, G. Signorelli, Philosoph. Magaz. B 65 (1992) 243; P. Benassi, O. Pilla, V. Mazzacurati, M. Montagna, G. Ruocco, G. Signorelli, Phys. Rev. B 44 (1991) 11734.
113. [92] G. Mariotto, M. Montagna, G. Viliani, E. Duval, S. Lefrant, E. Rzepka, C. Mai, Europh. Lett. 6 (1988) 239; O. Pilla, G. Viliani, M. Montagna, V. Mazzcurati, G. Ruocco, G. Signorelli, Philosoph. Magaz. B 65 (1992) 243; P. Benassi, O. Pilla, V. Mazzacurati, M. Montagna, G. Ruocco, G. Signorelli, Phys. Rev. B 44 (1991) 11734.
114. [93] A. Alippi, G. Shkedrin, A. Bettucci, F. Craciun, E. Molinari, and A. Petri, Phys. Rev. Lett. 69 (1992) 3318.
115. [94] C.K. Harris, R.B. Stinchcombe, Phys. Rev. Lett., 50 (1983) 1399.
116. [95] A. Petri, L. Pietronero, Phys. Rev. B 45 (1992) 12864.
117. [96] A. Bunde, H.E. Roman, S. Russ, A. Aharoní, and A. B. Harris, Phys. Rev. Lett. 69 (1992) 3189.
118. [97] M.H. Jensen, G. Paladin, and A. Vulpani, Phys. Rev. Lett. 67 (1991) 208.
119. [98] R. Jullien and R. Botet, Aggregation and Fractal Aggregates (World Scientific, Singapore, 1987).
120. [99] S.G. Rautian, V.P. Safonov, P.A. Chubakov, V.M. Shalaev, M.I. Stockman, Pis'ma Zh. Eksp. Teor. Fiz. 47, 243 (1988) [JETP Lett. 47, 243 (1988)].
121. [99] S.G. Rautian, V.P. Safonov, P.A. Chubakov, V.M. Shalaev, M.I. Stockman, Pis'ma Zh. Eksp. Teor. Fiz. 47, 243 (1988) [JETP Lett. 47, 243 (1988)].
122. [100] A.V. Butenko, P.A. Chubakov, Yu. E. Danilova, S. V. Karpov, A.K. Popov, S.G. Rautian, V.P. Safonov, V.V. Slabko, V. M. Shalaev, and M.I. Stockman, Z. Phys. D Atoms, Molecules and Clusters 17 (1990) 283.
123. [101] J.E. Martin and J.P. Wilcoxon, Phys. Rev. Lett 61 (1988) 373; J.E. Martin, J. Wilcoxon, and J. Odinek, Phys. Rev. A 43 (1991) 858.
124. [101] J.E. Martin and J.P. Wilcoxon, Phys. Rev. Lett 61 (1988) 373; J.E. Martin, J. Wilcoxon, and J. Odinek, Phys. Rev. A 43 (1991) 858.
125. [102] V.A. Markel, V.M. Shalaev, E.B. Stechel, W. Kim, and R. Armstrong, Phys. Rev. B 53 (1996), in press.
126. [103] B. T. Draine, Astrophys. J. 333 (1988) 848.
127. [104] Yu. E. Danilova, V.A. Markel, V.P. Safonov, Atmos. Oceanic Opt. 6 (1993) 821.
128. [105] V.A. Markel, Journal of Modern Optics 39 (1992) 853.
129. [106] D. Weitz and M. Oliveria, Phys. Rev. Lett. 52 (1984) 1433 ; J.A. Creighton, Metal colloids, in: Surface Enhanced Raman Scattering, edited by R.K. Chang and T.E. Furtak, Plenum Press, New York, 1982.
130. [106] D. Weitz and M. Oliveria, Phys. Rev. Lett. 52 (1984) 1433 ; J.A. Creighton, Metal colloids, in: Surface Enhanced Raman Scattering, edited by R.K. Chang and T.E. Furtak, Plenum Press, New York, 1982.
131. [107] T.A. Witten and L.M. Sander, Phys. Rev. B 27 (1983) 5686.
132. [108] J.K. Collum and R.A. Willoughby, Lanczos Algorithm for Large Symmetric Eigenvalue Computations, Vol. 1, Theory; Birkhäuser, Boston (1985).
133. [109] Solid State Physics, Vol. 35, Academic Press, New York (1980).
134. [110] F. Brouers, S. Blacher, A. Sarychev, In: "Fractals in the Natural and Applied Sciences (in press).
135. [111] U. Kreibig and L. Genzel, Surf. Sci 156 (1985) 678; U. Kreibig, P. Zacharis, Z. Physik 231 (1970) 128; U. Kreibig, M. Vollmer, Optical Properties of Metal Clusters, Springer-Verlag, Berlin, Heidelberg (1995).
136. [111] U. Kreibig and L. Genzel, Surf. Sci 156 (1985) 678; U. Kreibig, P. Zacharis, Z. Physik 231 (1970) 128; U. Kreibig, M. Vollmer, Optical Properties of Metal Clusters, Springer-Verlag, Berlin, Heidelberg (1995).
137. [111] U. Kreibig and L. Genzel, Surf. Sci 156 (1985) 678; U. Kreibig, P. Zacharis, Z. Physik 231 (1970) 128; U. Kreibig, M. Vollmer, Optical Properties of Metal Clusters, Springer-Verlag, Berlin, Heidelberg (1995).
138. [112] J.E. Sansonetti, J.K. Furdyna, Phys. Rev. B 22 (1980) 2866.
139. [113] M. Ausloos, P. Clippe, A.A. Lucas, Phys. Rev. B 18 (1978) 7176.
140. [114] P. Clippe, R. Evrard, A.A. Lucas, Phys. Rev. B 14 (1976) 1751.
141. [115] J.M. Gerardy, M. Ausloos, Phys. Rev. B 22 (1980) 4950.
142. [116] F. Claro, Sol. St. Comm. 29 (1984) 229.
143. [117] E.M. Purcell, C.R. Pennypacker, Astrophys. J. 186 (1973) 705.
144. [118] S.B. Singham, C.F. Bohren, J. Opt. Soc. Am. A 5 1867.
145. [119] V.A. Markel, Journal of Modern Optics 40 (1993) 2281.
146. [120] P.B. Johnson and R.W. Christy, Phys. Rev. B 6 (1972) 4370 .
147. [121] Handbook of optical constants of solids, Ed: E.D. Palik (Academic Press, 1985).
148. [122] A.V. Karpov, A.K. Popov, V.V. Slabko, and V. M. Shalaev, Pis'ma Zh. Eksp. Teor. Fiz. 48 (1988) 528 [JETP Lett. 48 (1988) 571].
149. [122] A.V. Karpov, A.K. Popov, V.V. Slabko, and V. M. Shalaev, Pis'ma Zh. Eksp. Teor. Fiz. 48 (1988) 528 [JETP Lett. 48 (1988) 571].
150. [123] D.P. Tsai, J. Kovacs, Z. Wang, M. Moskovits, V.M. Shalaev, J. Suh, and R. Botet, PRL 72 (1994) 4149; V.M. Shalaev and M. Moskovits, Phys. Rev. Lett. 75 (1995) 2451.
151. [123] D.P. Tsai, J. Kovacs, Z. Wang, M. Moskovits, V.M. Shalaev, J. Suh, and R. Botet, PRL 72 (1994) 4149; V.M. Shalaev and M. Moskovits, Phys. Rev. Lett. 75 (1995) 2451.
152. [124] D. Stroud, P.M. Hui, Phys. Rev. B 37 (1988) 8719.
153. [125] C. Flytzanis, Prog. Opt. 29 (1992) 2539; D. Ricard. Ph. Roussignol, C. Flytzanis, Optics Letters 10 (1985) 511; F. Hache, D. Ricard, C. Flytzanis, and U. Kreibig, Applied Physics A 47 (1988) 347.
154. [125] C. Flytzanis, Prog. Opt. 29 (1992) 2539; D. Ricard. Ph. Roussignol, C. Flytzanis, Optics Letters 10 (1985) 511; F. Hache, D. Ricard, C. Flytzanis, and U. Kreibig, Applied Physics A 47 (1988) 347.
155. [125] C. Flytzanis, Prog. Opt. 29 (1992) 2539; D. Ricard. Ph. Roussignol, C. Flytzanis, Optics Letters 10 (1985) 511; F. Hache, D. Ricard, C. Flytzanis, and U. Kreibig, Applied Physics A 47 (1988) 347.
156. [126] K.W. Yu, Y.C. Wang, P.M. Hui, G.Q. Gu, Phys. Rev. B 47 (1993) 1782; K.W. Yu. P.M. Hui, D. Stroud, Phys. Rev. B 47 (1993) 14150.
157. [126] K.W. Yu, Y.C. Wang, P.M. Hui, G.Q. Gu, Phys. Rev. B 47 (1993) 1782; K.W. Yu. P.M. Hui, D. Stroud, Phys. Rev. B 47 (1993) 14150.
158. [127] J.E. Sipe, R.W. Boyd, Phys. Rev. A 46 (1992) 1614.
159. [128] P.M. Hui, D. Stroud, Phys. Rev B 49 (1994) 11729.
160. [129] K.W. Yu, Phys. Rev. B 49 (1994) 9989.
161. [130] D. Stroud, X. Zhang Physica A 207 (1994) 55; X. Zhang and D, Stroud, Phys. Rev. B 49 (1994) 944.
162. [130] D. Stroud, X. Zhang Physica A 207 (1994) 55; X. Zhang and D, Stroud, Phys. Rev. B 49 (1994) 944.
163. [131] P.M. Hui, Phys. Rev. B 49 (1994) 15344;
164. K.W. Yu, Y. C. Chu, and Eliza M.Y. Chan, Phys. Rev. B 50 (1994) 7984.
165. [132] D. Bergman, O. Levy, D. Stroud, Phys. Rev. B 49 (1994) 129; O. Levy, D. Bergman, Physica A 207 (1994) 157; O. Levy, D. J. Bergman, D.G. Stroud, Phys. Rev. B 52 (1995) 3184.
166. [132] D. Bergman, O. Levy, D. Stroud, Phys. Rev. B 49 (1994) 129; O. Levy, D. Bergman, Physica A 207 (1994) 157; O. Levy, D. J. Bergman, D.G. Stroud, Phys. Rev. B 52 (1995) 3184.
167. [132] D. Bergman, O. Levy, D. Stroud, Phys. Rev. B 49 (1994) 129; O. Levy, D. Bergman, Physica A 207 (1994) 157; O. Levy, D. J. Bergman, D.G. Stroud, Phys. Rev. B 52 (1995) 3184.
168. [133] V.M. Shalaev, E.Y. Poliakov, and V.A. Markel, Phys. Rev. B. 53 (1996), in press.
169. [134] R.W. Boyd, Non-linear Optics, Academic Press, 1992.
170. [135] L.D. Landau, E.M. Lifshits and L.P. Pitaevskii, Electrodynamics of Continuous Media, 2nd Edition (Pergamon, Oxford, 1984).
171. [136] I.A. Akimov, A.V. Baranov, V.M. Dubkov, V.I. Petrov, and E.A. Sulabe, Opt. Spectrosc. (Russia) 63 (1987) 756.
172. [137] J.S. Suh and M. Moskovits, J. Phys. Chem. 58 (1984) 5526.
173. [138] M.V. Berry, I.C. Percival, Optica Acta 33 (1986) 577.
174. [139] J.P. Wilcoxon, J.E. Martin, and D.W. Schaefer, Phys. Rev. B 39 (1989) 2675.
175. [140] V.M. Shalaev, M. Moskovits, A.A. Golubentsev, and S. John, Physica A (1992) 352.
176. [141] S. John, Physics Today, May 1991; S. John, Phys. Rev. Lett. 58 (1987) 2486.
177. [141] S. John, Physics Today, May 1991; S. John, Phys. Rev. Lett. 58 (1987) 2486.
178. [142] A.Z. Genack, Phys. Rev. Lett. 58 (1987) 2043; M. Drake, A.Z. Genack, Phys. Rev. Lett. 63 (1989) 259.
179. [142] A.Z. Genack, Phys. Rev. Lett. 58 (1987) 2043; M. Drake, A.Z. Genack, Phys. Rev. Lett. 63 (1989) 259.
180. [143] E. Yablonovich, Phys. Rev. Lett. 58 (1987) 2043; E. Yablonovich, T.J. Gmitter, Phys. Rev. Lett. 63 (1989) 1950.
181. [143] E. Yablonovich, Phys. Rev. Lett. 58 (1987) 2043; E. Yablonovich, T.J. Gmitter, Phys. Rev. Lett. 63 (1989) 1950.
182. [144] C.M. Soukoulis, S. Datta, E.N. Economou, Phys. Rev. B 49 (1994) 3800.
183. [145] A.R. McGurn and A.A. Maradudin, Physica A 207 (1994) 435; A.R. McGurn, K.T. Christensen, F.M. Mueller, A.A. Maradudin, Phys. Rev. B 47 (1993) 13120.
184. [145] A.R. McGurn and A.A. Maradudin, Physica A 207 (1994) 435; A.R. McGurn, K.T. Christensen, F.M. Mueller, A.A. Maradudin, Phys. Rev. B 47 (1993) 13120.
185. [146] Zhao-Qing Zhang and Ping Sheng, Phys. Rev. B 49 (1994) 83.
186. [147] A.K. Sarychev, D.J. Bergman, Y. Yagil, Physica A 207 (1994) 372.
187. [148] W. Gellermann, M. Kohmoto, B. Sutherland, and P. C. Taylor, Phys. Rev. Lett. 72 (1994) 633.
188. [149] S. Kawato, T. Hattori, T. Takemori, and H. Nakatsuka, Phys. Rev. B 49 (1994) 90.
189. [150] F.C. Spano, S. Mukamel, Phys. Rev. Lett. 66 (1991) 1197.
190. [151] P.W. Anderson, Phys. Rev. 109 (1958) 1492.
191. [152] R. Chiarello, V. Panella, J. Krim, C. Thompson, Phys. Rev. Lett. 67 (1991) 3408; J. Krim, I. Heyvaert, C. Van Haesendonck, and Y. Bruynseraede, Phys. Rev. Lett. 70 (1993) 57.
192. [152] R. Chiarello, V. Panella, J. Krim, C. Thompson, Phys. Rev. Lett. 67 (1991) 3408; J. Krim, I. Heyvaert, C. Van Haesendonck, and Y. Bruynseraede, Phys. Rev. Lett. 70 (1993) 57.
193. [153] M. Nakamura, Phys. Rev. B 41 (1990) 12 268.
194. [154] P. Meakin, CRC Critical Reviews in Solid State and Materials Sciences 13 (1987) 143.
195. [155] F. Family and T. Viscek, Dynamics of Fractal Surfaces (World Scientific, Singapore, 1990).
196. [156] C. Douketis, T.H. Haslett, V.M. Shalaev, Z. Wang, M. Moskovits, Physica A 207 (1994) 352.
197. [157] D.E. Aspnes, Thin Solid Films 89 (1982) 249.
198. [158] P Gadenne, A. Beghdadi and J. Lafait, Opt. Comm. 65 (1988) 17; P. Gadenne, Y Yagil, and G. Deutscher, Physica A 157 (1989) 279; M. Gadenne and P. Gadenne, Physica A 157 (1989) 344; M. Gadenne, J. Lafait, and P. Gadenne, Physica A 157 (1989) 400; M. Gadenne, J. Lafait, and P. Gadenne, Opt. Comm. 71 (1989) 273; Y. Yagil, D. J. Bergman, and Y. Yagil, Physica A 207 (1994) 360; Y. Yagil, G. Deutscher, and D.J. Bergman, Physica A 207 (1994) 323.
199. [158] P Gadenne, A. Beghdadi and J. Lafait, Opt. Comm. 65 (1988) 17; P. Gadenne, Y Yagil, and G. Deutscher, Physica A 157 (1989) 279; M. Gadenne and P. Gadenne, Physica A 157 (1989) 344; M. Gadenne, J. Lafait, and P. Gadenne, Physica A 157 (1989) 400; M. Gadenne, J. Lafait, and P. Gadenne, Opt. Comm. 71 (1989) 273; Y. Yagil, D. J. Bergman, and Y. Yagil, Physica A 207 (1994) 360; Y. Yagil, G. Deutscher, and D.J. Bergman, Physica A 207 (1994) 323.
200. [158] P Gadenne, A. Beghdadi and J. Lafait, Opt. Comm. 65 (1988) 17; P. Gadenne, Y Yagil, and G. Deutscher, Physica A 157 (1989) 279; M. Gadenne and P. Gadenne, Physica A 157 (1989) 344; M. Gadenne, J. Lafait, and P. Gadenne, Physica A 157 (1989) 400; M. Gadenne, J. Lafait, and P. Gadenne, Opt. Comm. 71 (1989) 273; Y. Yagil, D. J. Bergman, and Y. Yagil, Physica A 207 (1994) 360; Y. Yagil, G. Deutscher, and D.J. Bergman, Physica A 207 (1994) 323.
201. [158] P Gadenne, A. Beghdadi and J. Lafait, Opt. Comm. 65 (1988) 17; P. Gadenne, Y Yagil, and G. Deutscher, Physica A 157 (1989) 279; M. Gadenne and P. Gadenne, Physica A 157 (1989) 344; M. Gadenne, J. Lafait, and P. Gadenne, Physica A 157 (1989) 400; M. Gadenne, J. Lafait, and P. Gadenne, Opt. Comm. 71 (1989) 273; Y. Yagil, D. J. Bergman, and Y. Yagil, Physica A 207 (1994) 360; Y. Yagil, G. Deutscher, and D.J. Bergman, Physica A 207 (1994) 323.
202. [158] P Gadenne, A. Beghdadi and J. Lafait, Opt. Comm. 65 (1988) 17; P. Gadenne, Y Yagil, and G. Deutscher, Physica A 157 (1989) 279; M. Gadenne and P. Gadenne, Physica A 157 (1989) 344; M. Gadenne, J. Lafait, and P. Gadenne, Physica A 157 (1989) 400; M. Gadenne, J. Lafait, and P. Gadenne, Opt. Comm. 71 (1989) 273; Y. Yagil, D. J. Bergman, and Y. Yagil, Physica A 207 (1994) 360; Y. Yagil, G. Deutscher, and D.J. Bergman, Physica A 207 (1994) 323.
203. [158] P Gadenne, A. Beghdadi and J. Lafait, Opt. Comm. 65 (1988) 17; P. Gadenne, Y Yagil, and G. Deutscher, Physica A 157 (1989) 279; M. Gadenne and P. Gadenne, Physica A 157 (1989) 344; M. Gadenne, J. Lafait, and P. Gadenne, Physica A 157 (1989) 400; M. Gadenne, J. Lafait, and P. Gadenne, Opt. Comm. 71 (1989) 273; Y. Yagil, D. J. Bergman, and Y. Yagil, Physica A 207 (1994) 360; Y. Yagil, G. Deutscher, and D.J. Bergman, Physica A 207 (1994) 323.
204. [158] P Gadenne, A. Beghdadi and J. Lafait, Opt. Comm. 65 (1988) 17; P. Gadenne, Y Yagil, and G. Deutscher, Physica A 157 (1989) 279; M. Gadenne and P. Gadenne, Physica A 157 (1989) 344; M. Gadenne, J. Lafait, and P. Gadenne, Physica A 157 (1989) 400; M. Gadenne, J. Lafait, and P. Gadenne, Opt. Comm. 71 (1989) 273; Y. Yagil, D. J. Bergman, and Y. Yagil, Physica A 207 (1994) 360; Y. Yagil, G. Deutscher, and D.J. Bergman, Physica A 207 (1994) 323.
205. [159] A.A. Maradudin, in: Topics in Condensed Matter Physics, M.P. Das, ed. (Nova, New York, 1994) ; G.A. Parias, E.F. Vasconcelos, S.L. Cesar, A.A. Maradudin, Physica A 207 (1994) 315.
206. [159] A.A. Maradudin, in: Topics in Condensed Matter Physics, M.P. Das, ed. (Nova, New York, 1994) ; G.A. Parias, E.F. Vasconcelos, S.L. Cesar, A.A. Maradudin, Physica A 207 (1994) 315.
207. [160] S.A. Akhmanov, V.N. Seminogov, V.I. Sokolov, ZhETF 93 (1987) 1654.
208. [161] T. Robin and B. Souillard, Physica A 157 (1989) 285; T. Robin and B. Souillard, Opt. Comm. 71 (1989) 15.
209. [161] T. Robin and B. Souillard, Physica A 157 (1989) 285; T. Robin and B. Souillard, Opt. Comm. 71 (1989) 15.
210. [162] G. Ritchie, E. Burstein, R.B. Stephens, J. Opt. Soc. Am. B 2 (1985) 544.
211. [163] C. Douketis, T.L. Haslett, J.T. Stuckless, M. Moskovits, and V.M. Shalaev, Surf. Sci. Lett. 297 (1993) L84.
212. [164] L.I. Daikhin and M.I. Urbakh, Surf. Sci. 236 (1990) 187; A.M. Brodsky and M.I. Urbakh, Surf. Sci. 115 (1982) 417.
213. [164] L.I. Daikhin and M.I. Urbakh, Surf. Sci. 236 (1990) 187; A.M. Brodsky and M.I. Urbakh, Surf. Sci. 115 (1982) 417.
214. [165] J.-J. Greffet, C. Baylard, and P. Versaevel, Opt. Lett. 17 (1992) 1740; J.-J. Greffet and Z. Maassarani, JOSA A 7 (1990) 1483; A. Sentenac and J.-J. Greffet, JOSA A 6 (1992) 996; J.-J. Greffet, Waves in Random Media 3 (1991) S65; J.-J. Greffet, Opt. Lett. 17 (1992) 238; F. Pincemin, J.-J. Greffet, Physica A 207 (1994) 146.
215. [165] J.-J. Greffet, C. Baylard, and P. Versaevel, Opt. Lett. 17 (1992) 1740; J.-J. Greffet and Z. Maassarani, JOSA A 7 (1990) 1483; A. Sentenac and J.-J. Greffet, JOSA A 6 (1992) 996; J.-J. Greffet, Waves in Random Media 3 (1991) S65; J.-J. Greffet, Opt. Lett. 17 (1992) 238; F. Pincemin, J.-J. Greffet, Physica A 207 (1994) 146.
216. [165] J.-J. Greffet, C. Baylard, and P. Versaevel, Opt. Lett. 17 (1992) 1740; J.-J. Greffet and Z. Maassarani, JOSA A 7 (1990) 1483; A. Sentenac and J.-J. Greffet, JOSA A 6 (1992) 996; J.-J. Greffet, Waves in Random Media 3 (1991) S65; J.-J. Greffet, Opt. Lett. 17 (1992) 238; F. Pincemin, J.-J. Greffet, Physica A 207 (1994) 146.
217. [165] J.-J. Greffet, C. Baylard, and P. Versaevel, Opt. Lett. 17 (1992) 1740; J.-J. Greffet and Z. Maassarani, JOSA A 7 (1990) 1483; A. Sentenac and J.-J. Greffet, JOSA A 6 (1992) 996; J.-J. Greffet, Waves in Random Media 3 (1991) S65; J.-J. Greffet, Opt. Lett. 17 (1992) 238; F. Pincemin, J.-J. Greffet, Physica A 207 (1994) 146.
218. [165] J.-J. Greffet, C. Baylard, and P. Versaevel, Opt. Lett. 17 (1992) 1740; J.-J. Greffet and Z. Maassarani, JOSA A 7 (1990) 1483; A. Sentenac and J.-J. Greffet, JOSA A 6 (1992) 996; J.-J. Greffet, Waves in Random Media 3 (1991) S65; J.-J. Greffet, Opt. Lett. 17 (1992) 238; F. Pincemin, J.-J. Greffet, Physica A 207 (1994) 146.
219. [165] J.-J. Greffet, C. Baylard, and P. Versaevel, Opt. Lett. 17 (1992) 1740; J.-J. Greffet and Z. Maassarani, JOSA A 7 (1990) 1483; A. Sentenac and J.-J. Greffet, JOSA A 6 (1992) 996; J.-J. Greffet, Waves in Random Media 3 (1991) S65; J.-J. Greffet, Opt. Lett. 17 (1992) 238; F. Pincemin, J.-J. Greffet, Physica A 207 (1994) 146.
220. [166] N. Garcia and M. Nieto-Vesperinas, Phys. Rev. Lett. 71 (1993) 3645.
221. [167] T.C. Halsey and M. Leibig, Anals of Physics, 219 (1992) 109.
222. [168] Po-zen Wong, Phys. Rev. B 32 (1985) 7417.
223. [169] S. Wang and P. Halevi, Phys. Rev. B 47 (1993) 10815; G. H. Cocoletzi, S. Wang, Phys. Rev. B 48 (1993) 17413.
224. [169] S. Wang and P. Halevi, Phys. Rev. B 47 (1993) 10815; G. H. Cocoletzi, S. Wang, Phys. Rev. B 48 (1993) 17413.
225. [170] Surface Enhanced Raman Scattering, edited by R.K. Chang and T.E. Furtak, Plenum Press, New York, 1982.
226. [171] M. Moskovits, Rev. Mod. Phys. 57 (1985) 783.