Walk dimension for light in complex disordered media

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 90, Issue 2, 2014, Pages

  Savo, Romolo ^a,b   Burresi, Matteo ^a,c   Svensson, Tomas ^a   Vynck, Kevin ^a,d   Wiersma, Diederik S ^a,b,c  

^a UNIVERSITY OF FLORENCE   (Italy)

^b UNIVERSITY OF FLORENCE   (Italy)

^c ISTITUTO NAZIONALE DI OTTICA   (Italy)

^d CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; PHYSICS;

DISORDERED MEDIA; EXPERIMENTAL DEMONSTRATIONS; LIGHT WAVE; MEASUREMENTS OF; RANDOM MEDIUM; RANDOM WALK PROCESS; SAMPLE SIZES; TIME-RESOLVED TRANSMISSION;

FRACTAL DIMENSION;

EID: 84912563084     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.90.023839     Document Type: Article

References (42)

1. F. Reif, Fundamentals of Statistical and Thermal Physics (Waveland Press, Long Grove, 2009).
2. O. Bénichou, C. Loverdo, M. Moreau, and R. Voituriez, Rev. Mod. Phys. 83, 81 (2011). RMPHAT 0034-6861 10.1103/RevModPhys.83.81
3. D. Brockmann, L. Hufnagel, and T. Geisel, Nature (London) 439, 462 (2006). NATUAS 0028-0836 10.1038/nature04292
4. E. Barkai, Y. Garini, and R. Metzler, Phys. Today 65, 29 (2012). PHTOAD 0031-9228 10.1063/PT.3.1677
5. A. Ishimaru, Wave Propagation and Scattering in Random Media, IEEE Press Series on Electromagnetic Wave Theory (IEEE Press, Washington, DC, 1999).
6. A. Marshak and A. A. B. Davis, 3D Radiative Transfer in Cloudy Atmospheres (Springer, New York, 2005).
7. D. Ben-Avraham and S. Havlin, Diffusion and Reactions in Fractals and Disordered Systems (Cambrige University Press, Cambridge, 2000).
8. M. E. Cates, J. Phys. (France) 46, 1059 (1985). JOPQAG 0302-0738 10.1051/jphys:019850046070105900
9. R. Klages, G. Radons, and I. M. Sokolov, Anomalous Transport: Foundations and Applications (Wiley-VCH, Weinheim, 2008).
10. S. Condamin, O. Benichou, V. Tejedor, R. Voituriez, and J. Klafter, Nature (London) 450, 77 (2007). NATUAS 0028-0836 10.1038/nature06201
11. Y. Li, G. Farrher, and R. Kimmich, Phys. Rev. E 74, 066309 (2006). PLEEE8 1539-3755 10.1103/PhysRevE.74.066309
12. B. Berkowitz, H. Scher, and S. E. Silliman, Water Resour. Res. 36, 149 (2000). WRERAQ 0043-1397 10.1029/1999WR900295
13. M. Palombo, A. Gabrielli, S. De Santis, C. Cametti, G. Ruocco, and S. Capuani, J. Chem. Phys. 135, 034504 (2011). JCPSA6 0021-9606 10.1063/1.3610367
14. I. M. Tolić-Norrelykke, E.-L. Munteanu, G. Thon, L. Oddershede, and K. Berg-Sorensen, Phys. Rev. Lett. 93, 078102 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.078102
15. I. Golding and E. C. Cox, Phys. Rev. Lett. 96, 098102 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.098102
16. J. Szymanski and M. Weiss, Phys. Rev. Lett. 103, 038102 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.103.038102
17. A. Davis and A. Marshak, in Fractal Frontiers, edited by M. M. Novak and T. G. Dewey (World Scientific, Singapore, 1997), pp. 63-72.
18. P. Barthelemy, J. Bertolotti, and D. S. Wiersma, Nature (London) 453, 495 (2008). NATUAS 0028-0836 10.1038/nature06948
19. J. Bertolotti, K. Vynck, L. Pattelli, P. Barthelemy, S. Lepri, and D. S. Wiersma, Adv. Funct. Mater. 20, 965 (2010). 1616-301X 10.1002/adfm.200902008
20. N. Mercadier, W. Guerin, M. Chevrollier, and R. Kaiser, Nat. Phys. 5, 602 (2009). 1745-2473 10.1038/nphys1286
21. Q. Baudouin, R. Pierrat, A. Eloy, E. J. Nunes-Pereira, P.-A. Cuniasse, N. Mercadier, and R. Kaiser, arXiv:1402.6200.
22. T. Svensson, K. Vynck, M. Grisi, R. Savo, M. Burresi, and D. S. Wiersma, Phys. Rev. E 87, 022120 (2013). PLEEE8 1539-3755 10.1103/PhysRevE.87.022120
23. J. Shah, IEEE J. Quantum Electron. 24, 276 (1988). IEJQA7 0018-9197 10.1109/3.124
24. T. Svensson, R. Savo, E. Alerstam, K. Vynck, M. Burresi, and D. S. Wiersma, Opt. Lett. 38, 437 (2013). OPLEDP 0146-9592 10.1364/OL.38.000437
25. D. S. Wiersma, A. Muzzi, M. Colocci, and R. Righini, Phys. Rev. Lett. 83, 4321 (1999). PRLTAO 0031-9007 10.1103/PhysRevLett.83.4321
26. J. Bertolotti, K. Vynck, and D. S. Wiersma, Phys. Rev. Lett. 105, 163902 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.163902
27. M. Burresi, V. Radhalakshmi, R. Savo, J. Bertolotti, K. Vynck, and D. S. Wiersma, Phys. Rev. Lett. 108, 110604 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.110604
28. E. Akkermans and G. Montambaux, Mesoscopic Physics of Electrons and Photons (Cambridge University Press, Cambridge, 2007).
29. P. Buonsante, R. Burioni, and A. Vezzani, Phys. Rev. E 84, 021105 (2011). PLEEE8 1539-3755 10.1103/PhysRevE.84.021105
30. M. C. W. van Rossum and T. M. Nieuwenhuizen, Rev. Mod. Phys. 71, 313 (1999). RMPHAT 0034-6861 10.1103/RevModPhys.71.313
31. P. M. Drysdale and P. A. Robinson, Phys. Rev. E 58, 5382 (1998). 1063-651X 10.1103/PhysRevE.58.5382
32. G. Zumofen and J. Klafter, Phys. Rev. E 47, 851 (1993). 1063-651X 10.1103/PhysRevE.47.851
33. A. Zoia, A. Rosso, and M. Kardar, Phys. Rev. E 76, 021116 (2007). PLEEE8 1539-3755 10.1103/PhysRevE.76.021116
34. C. W. Groth, A. R. Akhmerov, and C. W. J. Beenakker, Phys. Rev. E 85, 021138 (2012). PLEEE8 1539-3755 10.1103/PhysRevE.85.021138
35. R. Burioni, E. Ubaldi, and A. Vezzani, Phys. Rev. E 89, 022135 (2014). PLEEE8 1539-3755 10.1103/PhysRevE.89.022135
36. P. Barthelemy, J. Bertolotti, K. Vynck, S. Lepri, and D. S. Wiersma, Phys. Rev. E 82, 011101 (2010). PLEEE8 1539-3755 10.1103/PhysRevE.82.011101
37. T. Svensson, K. Vynck, E. Adolfsson, A. Farina, A. Pifferi, and D. S. Wiersma, Phys. Rev. E 89, 022141 (2014). PLEEE8 1539-3755 10.1103/PhysRevE.89. 022141
38. E. Akkermans, G. V. Dunne, and A. Teplyaev, Phys. Rev. Lett. 105, 230407 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.230407
39. A. A. Fernández-Marín, J. A. Méndez-Bermúdez, and V. A. Gopar, Phys. Rev. A 85, 035803 (2012). PLRAAN 1050-2947 10.1103/PhysRevA.85.035803
40. P. Sheng, Introduction to Wave Scattering, Localization and Mesoscopic Phenomena, Springer Series in Material Science (Springer-Verlag, Berlin/Heidelberg, 2006).
41. S. V. Buldyrev, S. Havlin, A. Y. Kazakov, M. G. E. da Luz, E. P. Raposo, H. E. Stanley, and G. M. Viswanathan, Phys. Rev. E 64, 041108 (2001). 1063-651X 10.1103/PhysRevE.64.041108
42. R. Elaloufi, R. Carminati, and J.-J. Greffet, J. Opt. Soc. Am. A 21, 1430 (2004). 1084-7529 10.1364/JOSAA.21.001430