High-frequency dynamics of wave localization

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 60, Issue 6, 1999, Pages

  Beenakker, C W J ^a   van Bemmel, K J H ^a   Brouwer, P W ^b  

^a UNIVERSITEIT LEIDEN   (Netherlands)

^b Laboratory of Atomic and Solid State Physics and Sibley School of Mechanical and Aerospace Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE;

EID: 0000408876     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.R6313     Document Type: Article

References (18)

1. B.A. van Tiggelen, in Diffuse Waves in Complex Media, edited by J.-P. Fouque, NATO Science Series C531 (Kluwer, Dordrecht, 1999).
2. R.L. Weaver, Phys. Rev. B 49, 5881 (1994).
3. B. White, P. Sheng, and B. Nair, Geophysics 55, 1158 (1990).
4. Scattering and Localization of Classical Waves in Random Media, edited by P. Sheng (World Scientific, Singapore, 1990).
5. A.Z. Genack, P. Sebbah, M. Stoytchev, and B.A. van Tiggelen, Phys. Rev. Lett. 82, 715 (1999).
6. R. Berkovits and S. Feng, Phys. Rep. 238, 135 (1994).
7. The length (Formula presented) differs from the transport mean free path (Formula presented) by a dimensionality-dependent numerical coefficient (Formula presented) for (Formula presented). The diffusion coefficient is (Formula presented).
8. C.W.J. Beenakker, Rev. Mod. Phys. 69, 731 (1997).
9. V.I. Klyatskin and A.I. Saichev, Usp. Fiz. Nauk 162, 161 (1992) [Sov. Phys. Usp. 35, 231 (1992)].
10. This is a complication of the transmission problem. The reflection problem is simpler, because the (approximate) unitarity of the reflection matrix r provides additional information on the distribution of the correlator of the reflection amplitudes. The mapping between the dynamic and absorbing problems has been used recently to calculate the entire distribution of the eigenvalues of (Formula presented) in the limit (Formula presented): S.A. Ramakrishna and N. Kumar, e-print cond-mat/9906098
11. C.W.J. Beenakker and P.W. Brouwer, e-print cond-mat/9908325.
12. B. White, P. Sheng, Z.Q. Zhang, and G. Papanicolaou, Phys. Rev. Lett. 59, 1918 (1987).
13. V.N. Tutubalin, Radiotekh. Elektron. 16, 1352 (1971) [Radio Eng. Electron. Phys. 16, 1274 (1971)]
14. W. Kohler and G.C. Papanicolaou, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 30, 263 (1976).
15. V. Freilikher, M. Pustilnik, and I. Yurkevich, Phys. Rev. Lett. 73, 810 (1994).
16. P.W. Brouwer, Phys. Rev. B 57, 10 526 (1998).
17. H.U. Baranger, D.P. DiVincenzo, R.A. Jalabert, and A.D. Stone, Phys. Rev. B 44, 10 637 (1991).
18. M. Stoytchev and A.Z. Genack, Opt. Lett. 24, 262 (1999).