Multiple scattering of classical waves: Microscopy, mesoscopy, and diffusion

Reviews of Modern Physics

Volumn 71, Issue 1, 1999, Pages 313-371

  Van Rossum, M C W ^a   Nieuwenhuizen, Th M ^b  

^a UNIVERSITY OF PENNSYLVANIA   (United States)

^b UNIVERSITY OF AMSTERDAM   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033248425     PISSN: 00346861     EISSN: None     Source Type: Journal    
DOI: 10.1103/revmodphys.71.313     Document Type: Article

References (152)

1. Abrahams, E., P. W. Anderson, D. C. Licciardello, and T. V. Ramakrishnan, 1979, Phys. Rev. Lett. 42, 673.
2. Abrikosov, A. A., 1981, Solid State Commun. 37, 997.
3. Abrikosov, A. A., L. P. Gor'kov, and I. E. Dzyaloshinski, 1963, Methods of Quantum Field Theory in Statistical Physics (Dover, New York).
4. Altshuler, B. L., 1985, Pis'ma Zh. Éksp. Teor. Fiz. 41, 530 [JETP Lett. 41, 648].
5. Altshuler, B. L., 1985, Pis'ma Zh. Éksp. Teor. Fiz. 41, 530 [JETP Lett. 41, 648].
6. Altshuler, B. L., A. G. Aronov, and B. Z. Spivak, 1981, Pis'ma Zh. Éksp. Teor. Fiz. 33, 101 [JETP Lett. 33, 94].
7. Altshuler, B. L., A. G. Aronov, and B. Z. Spivak, 1981, Pis'ma Zh. Éksp. Teor. Fiz. 33, 101 [JETP Lett. 33, 94].
8. Altshuler, B. L., V. E. Kravtsov, and I. V. Lerner, 1986, Zh. Éksp. Teor. Fiz. 91, 2276 [Sov. Phys. JETP 64, 1352].
9. Altshuler, B. L., V. E. Kravtsov, and I. V. Lerner, 1986, Zh. Éksp. Teor. Fiz. 91, 2276 [Sov. Phys. JETP 64, 1352].
10. Altshuler, B. L., V. E. Kravtsov, and I. V. Lerner, 1991, in Mesoscopic Phenomena in Solids, edited by B. L. Altshuler, P. A. Lee, and R. A. Webb, Modern Problems in Condensed Matter Sciences No. 30 (North-Holland, Amsterdam), p. 449.
11. Altshuler, B. L., P. A. Lee, and R. A. Webb, 1991, Eds., Mesoscopic Phenomena in Solids, Modern Problems in Condensed Matter Sciences No. 30 (North-Holland, Amsterdam).
12. Ambartsumian, V. A., 1943, Dokl Akad. Nauk SSSR 38, 257.
13. Amic, E., J. M. Luck, and T. M. Nieuwenhuizen, 1996, J. Phys. A 29, 4915.
14. Amic, E., J. M. Luck, and T. M. Nieuwenhuizen, 1997, J. Phys. I 17, 445.
15. Anderson, P. W., 1958, Phys. Rev. 109, 1492.
16. Anderson, P. W., D. J. Thouless, E. Abrahams, and D. S. Fisher, 1980, Phys. Rev. B 22, 3519.
17. Ando, T., and H. Fukuyama, 1988, Eds., Anderson Localization. Springer Proceedings in Physics No. 28 (Springer, Berlin).
18. Barabanenkov, Y. N., 1973, Izv. Vyssh. Uchebn. Zaved. Radiofiz. 16, 88.
19. Beenakker, C. W. J., 1997, Rev. Mod. Phys. 69, 731.
20. Beenakker, C. W. J., and M. Büttiker, 1992, Phys. Rev. B 46, 1889.
21. Berkovits, R., 1990, Phys. Rev. B 42, 10750.
22. Berkovits, R., and S. Feng, 1994, Phys. Rep. 238, 135.
23. Berkovits, R., and M. Kaveh, 1990, Europhys. Lett. 13, 97.
24. Brouwer, P. W., 1997, Phys. Rev. B 57, 10526.
25. Chandrasekhar, S., 1960, Radiative Transfer (Dover, New York).
26. de Boer, J. F., M. P. van Albada, and A. Lagendijk, 1992, Phys. Rev. B 45, 658.
27. de Boer, J. F., M. C. W. van Rossum, M. P. van Albada, T. M. Nieuwenhuizen, and A. Lagendijk, 1994, Phys. Rev. Lett. 73, 2567.
28. den Outer, P. N., and A. Lagendijk, 1993, Opt. Commun. 103, 169.
29. den Outer, P. N., T. M. Nieuwenhuizen, and A. Lagendijk, 1993, J. Opt. Soc. Am. A 10, 1209.
30. Dorokhov, O. N., 1984, Solid State Commun. 51, 381.
31. Economou, E. N., 1990, Green's Functions in Quantum Physics (Springer, Berlin).
32. Economou, E. N., and C. M. Soukoulis, 1981, Phys. Rev. Lett. 46, 618.
33. Efetov, K. N., 1983, Adv. Phys. 32, 53.
34. Feng, S., C. Kane, P. Lee, and A. D. Stone, 1988, Phys. Rev. Lett. 61, 834.
35. Feng, S., F. A. Zeng, and B. Chance, 1995, Appl. Opt. 34, 3826.
36. Fisher, D. S., and P. A. Lee, 1981, Phys. Rev. B 23, 6851.
37. Freund, I., and R. Berkovits, 1990, Phys. Rev. B 41, 496.
38. Freund, I., and M. Rosenbluh, 1991, Opt. Commun. 82, 362.
39. Freund, I., M. Rosenbluh, and S. Feng, 1988, Phys. Rev. Lett. 61, 2328.
40. Garcia, N., and A. Z. Genack, 1989, Phys. Rev. Lett. 63, 1678.
41. Garcia, N., A. Z. Genack, R. Pnini, and B. Shapiro, 1993, Phys. Lett. A 176, 458.
42. Genack, A. Z., and N. Garcia, 1993, Europhys. Lett. 21, 753.
43. Genack, A. Z., N. Garcia, and W. Polkosnik, 1990, Phys. Rev. Lett. 65, 2129.
44. Gevorkian, Zh. S., 1998, Phys. Rev. E 57, 2338.
45. Gevorkian, Zh. S., and Th. M. Nieuwenhuizen, 1998, Phys. Rev. E (in press).
46. Goodman, J. W., 1975, in Laser Speckle and Related Phenomena, edited by J. C. Dainty, (Springer, Berlin), Vol. 9, p. 9.
47. Gor'kov, L. P., A. I. Larkin, and D. E. Khmel'nitskii, 1979, Pis'ma Zh. Eksp. Teor. Fiz. 30, 248 [JETP Lett. 30, 228].
48. Gor'kov, L. P., A. I. Larkin, and D. E. Khmel'nitskii, 1979, Pis'ma Zh. Eksp. Teor. Fiz. 30, 248 [JETP Lett. 30, 228].
49. Gorodnichev, E., S. Dudarev, and D. Rogozkin, 1990, Phys. Lett. A 144, 48.
50. Guéret, P., C. Rossel, E. Marclay, and H. Meier, 1989, J. Appl. Phys. 66, 278.
51. Halperin, B. I., 1965, Phys. Rev. A 139, 104.
52. Hanke, W., and Y. V. Kopaev, 1992, Eds., Electronic Phase Transitions, Modern Problems in Condensed Matter Sciences No. 32 (North-Holland, Amsterdam).
53. Hikami, S., 1981, Phys. Rev. B 24, 2671.
54. Imry, Y., 1986, Europhys. Lett. 1, 249.
55. Ioffe, A. F., and A. R. Regel, 1960, Prog. Semicond. 4, 237.
56. Ishimaru, A., 1978, Wave Propagation and Scattering in Random Media, Vols. 1 and 2 (Academic, New York).
57. Janßen, M., 1991, Solid State Commun. 79, 1073.
58. Kagiwada, H. H., R. Kalaba, and S. Ueno, 1975, Multiple Scattering Processes: Inverse and Direct, Applied Mathematics and Computation No. 8 (Addison-Wesley, Reading, MA).
59. Kane, C. L., R. A. Scrota, and P. A. Lee, 1988, Phys. Rev. B 37, 6701.
60. Kaveh, M., 1991, in Analogies in Optics and Micro-Electronics, edited by W. van Haeringen and D. Lenstra (Kluwer Academic, Haarlem).
61. Kirkpatrick, T. R., 1985, Phys. Rev. B 31, 5746.
62. Kogan, E., and M. Kaveh, 1995, Phys. Rev. B 51, 16400.
63. Kogan, E., M. Kaveh, R. Baumgartner, and R. Berkovits, 1993, Phys. Rev. B 48, 9404.
64. Kramer, B., and G. Schön, 1990, Eds., Anderson Transition and Mesoscopic Fluctuations, Physica A 167 (special issue).
65. Kroha, J., 1990, Physica A 167, 231.
66. Kroha, J., T. Kopp, and P. Wölfe, 1990, Phys. Rev. B 41, 888.
67. Kuga, Y., and A. Ishimaru, 1985, J. Opt. Soc. Am. A 1, 831.
68. Lagendijk, A., and B. A. van Tiggelen, 1996, Phys. Rep. 270, 143.
69. Lagendijk, A., R. Vreeker, and P. de Vries, 1989, Phys. Lett. A 136, 81.
70. Lancaster, D., and T. M. Nieuwenhuizen, 1998, Physica A 256, 417.
71. Landauer, R., 1975, Z. Phys. B 21, 247.
72. Lee, P. A., and T. V. Ramakrishnan, 1985, Rev. Mod. Phys. 57, 291.
73. Lee, P. A., and A. D. Stone, 1985, Phys. Rev. Lett. 55, 1622.
74. Lee, P. A., A. D. Stone, and H. Fukuyama, 1987, Phys. Rev. B 35, 1039.
75. Lerner, I. V., 1996, private communication.
76. Lisyansky, A. A., and D. Livdan, 1992, Phys. Lett. A 170, 53.
77. Luck, J. M., 1997, unpublished.
78. Luck, J. M., and T. M. Nieuwenhuizen, 1998, Phys. Rev. E (in press).
79. Macêdo, A. M. S., 1994, Phys. Rev. B 49, 1858.
80. MacKintosh, F., and S. John, 1988, Phys. Rev. B 37, 1884.
81. MacKintosh, F., and S. John, 1989, Phys. Rev. B 40, 2383.
82. Mehta, M. L., 1967, Random Matrices and the Statistical Theory of Energy Levels (Academic, New York).
83. Mello, P. A., P. Pereyra, and N. Kumar, 1988, Ann. Phys. (N.Y.) 181, 290.
84. Mel'nikov, V. I., 1981, Sov. Phys. Solid State 23, 444.
85. Merzbacher, E., 1970, Quantum Mechanics (Wiley, New York).
86. Mie, G., 1908, Ann. Phys. (Leipzig) 25, 377.
87. Mosk, A., T. M. Nieuwenhuizen, and C. Barnes, 1996, Phys. Rev. B 53, 15914.
88. Mott, N. F., 1990, Metal-Insulator Transitions (Taylor and Francis, London).
89. Nagaoka, Y., and H. Fukuyama, 1982, Eds., Anderson Localization, Springer Series in Solid State Sciences No. 8 (Springer, Berlin).
90. Nazarov, Y. V., 1994, Phys. Rev. Lett. 73, 134.
91. Nieuwenhuizen, T. M., 1983, Physica A 120, 197.
92. Nieuwenhuizen, T. M., 1984, Physica A 125, 468.
93. Nieuwenhuizen, T. M., 1993, Europhys. Lett. 24, 269.
94. Nieuwenhuizen, T. M., 1993, unpublished.
95. Nieuwenhuizen, T. M., A. L. Burin, Y. Kagan, and G. V. Shlyapnikov, 1994, Phys. Lett. A 184, 360.
96. Nieuwenhuizen, T. M., and J. M. Luck, 1993, Phys. Rev. E 48, 560.
97. Nieuwenhuizen, T. M., and M. C. W. van Rossum, 1995, Phys. Rev. Lett. 74, 2674.
98. Oakeshott, R. B. S., and A. MacKinnon, 1994, J. Phys.: Condens. Matter 6, 1513.
99. Ospeck, M., and S. Fraden, 1994, Phys. Rev. E 49, 4578.
100. Paasschens, J. C. J., and G. W. 't Hooft, 1998, J. Opt. Soc. Am. (in press).
101. Pendry, J. B., A. MacKinnon, and A. B. Pretre, 1990, Physica A 168, 400.
102. Pendry, J. B., A. MacKinnon, and P. J. Roberts, 1992, Proc. R. Soc. London, Ser. A 437, 67.
103. Peters, K., 1992, Phys. Rev. B 46, 801.
104. Pnini, R., and B. Shapiro, 1989, Phys. Rev. B 39, 6986.
105. Pnini, R., and B. Shapiro, 1991, Phys. Lett. A 157, 265.
106. Polishchuk, I., A. L. Burin, and L. A. Maksimov, 1990, Pis'ma Zh. Éksp. Teor. Fiz. 51, 644 [JETP Lett. 51, 731].
107. Polishchuk, I., A. L. Burin, and L. A. Maksimov, 1990, Pis'ma Zh. Éksp. Teor. Fiz. 51, 644 [JETP Lett. 51, 731].
108. Rayleigh, (Lord), J. W. S., 1980, Philos. Mag. 1, 491 [in Scientific papers I, p. 53 (1964) Dover, New York].
109. Rayleigh, (Lord), J. W. S., 1980, Philos. Mag. 1, 491 [in Scientific papers I, p. 53 (1964) Dover, New York].
110. Rikken, G. L. J. A., and B. A. van Tiggelen, 1996, Nature (London) 381, 54.
111. Schotland, J. C., J. C. Haselgrove, and J. S. Leigh, 1993, Appl. Opt. 32, 448.
112. Shapiro, B., 1986, Phys. Rev. Lett. 57, 2168.
113. Shapiro, B., 1990, Phys. Rev. Lett. 65, 1510.
114. Sharvin, Y., and Y. Sharvin, 1981, Pis'ma Zh. Éksp. Teor. Fiz. 34, 285 [JETP Lett. 34, 272].
115. Sharvin, Y., and Y. Sharvin, 1981, Pis'ma Zh. Éksp. Teor. Fiz. 34, 285 [JETP Lett. 34, 272].
116. Sheng, P., 1990, Ed., Classical Wave Localization (World Scientific, Singapore).
117. Shnerb, N., and M. Kaveh, 1991, Phys. Rev. B 43, 1279.
118. Soukoulis, C. M., 1993, Ed., Photonic Band Gaps and Localization (Plenum, New York).
119. Stephen, M. J., and G. Cwilich, 1987, Phys. Rev. Lett. 59, 285.
120. Stone, A. D., P. A. Mello, K. A. Muttalib, and J.-L. Pichard, 1991, in Mesoscopic Phenomena in Solids, edited by B. L. Altshuler, P. A. Lee, and R. A. Webb, Modern Problems in Condensed Matter Sciences No. 30 (North-Holland, Amsterdam), p. 369.
121. Stoytchev, M., and A. Z. Genack, 1997, Phys. Rev. Lett. 79, 309.
122. Tartakovski, A. V., 1995, Phys. Rev. B 52, 2704.
123. Tartakovski, A. V., 1996, private communication.
124. Thouless, D. J., 1974, Phys. Rep., Phys. Lett. 13C, 93.
125. Thouless, D. J., 1977, Phys. Rev. Lett. 39, 1167.
126. Umbach, C. P., S. Washburn, R. B. Laibowitz, and R. A. Webb, 1984, Phys. Rev. B 30, 4048.
127. van Albada, M. P., and A. Lagendijk, 1985, Phys. Rev. Lett. 55, 2692.
128. van Albada, M. P., B. A. van Tiggelen, A. Lagendijk, and A. Tip, 1991, Phys. Rev. Lett. 66, 3132.
129. van Albada, M. P., J. F. de Boer, and A. Lagendijk, 1990, Phys. Rev. Lett. 64, 2787.
130. van de Hulst, H. C., 1980, Multiple Light Scattering, Vols. 1 and 2 (Academic, New York).
131. van de Hulst, H. C., 1997, private communication.
132. van de Hulst, H. C., and R. Stark, 1990, Astron. Astrophys. 235, 511.
133. van der Mark, M. B., M. P. van Albada, and A. Lagendijk, 1988, Phys. Rev. B 37, 3575.
134. van Haeringen, W., and D. Lenstra, 1990, Eds., Analogies in Optics and Micro Electronics (Kluwer Academic, Haarlem).
135. van Haeringen, W., and D. Lenstra, 1991, Eds., Analogies in Optics and Micro Electronics (Kluwer Academic, Haarlem).
136. van Rossum, M. C. W., J. F. de Boer, and Th. M. Nieuwenhuizen, 1995, Phys. Rev. E 52, 2053.
137. van Rossum, M. C. W., I. V. Lerner, B. L. Altshuler, and T. M. Nieuwenhuizen, 1997, Phys. Rev. B 55, 4710.
138. van Rossum, M. C. W., and T. M. Nieuwenhuizen, 1993, Phys. Lett. A 177, 452.
139. van Rossum, M. C. W., T. M. Nieuwenhuizen, and R. Vlaming, 1995, Phys. Rev. E 51, 6158.
140. van Tiggelen, B. A., 1995, Phys. Rev. Lett. 75, 422.
141. van Tiggelen, B. A., R. Maynard, and T. M. Nieuwenhuizen, 1996, Phys. Rev. E 53, 2881.
142. Vdovin, Y. A., and V. M. Galitskii, 1967, Zh. Éksp, Teor. Fiz. 52, 1345 [Sov. Phys. JETP 25, 894].
143. Vdovin, Y. A., and V. M. Galitskii, 1967, Zh. Éksp, Teor. Fiz. 52, 1345 [Sov. Phys. JETP 25, 894].
144. Vollhardt, D., and P. Wölfle, 1980a, Phys. Rev. Lett. 45, 842.
145. Vollhardt, D., and P. Wölfle, 1980b, Phys. Rev. B 22, 4666.
146. Vollhardt, D., and P. Wölfle, 1992, in Electronic Phase Transitions, Modern Problems in Condensed Matter Sciences No. 32, edited by W. Hanke and Y. V. Kopaev (North-Holland, Amsterdam), p. 1.
147. Wegner, F., 1976, Z. Phys. B 25, 327.
148. Wegner, F., 1979, Z. Phys. B 35, 207.
149. Wolf, P. E., and G. Maret, 1985, Phys. Rev. Lett. 55, 2696.
150. Zhu, J. X., D. J. Pine, and D. A. Weitz, 1991, Phys. Rev. A 44, 3948.
151. Zhu, X. D., S. P. Wei, S. Feng, and B. Chance, 1996, J. Opt. Soc. Am. A 13, 494.
152. Zyuzin, A. Y., and B. Z. Spivak, 1987, Sov. Phys. JETP 66, 560.