Diffusive transport of light in three-dimensional disordered Voronoi structures

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 77, Issue 5, 2008, Pages

  Sadjadi, Zeinab ^a   Miri, Mirfaez ^a   Stark, Holger ^b  

^a INSTITUTE FOR ADVANCED STUDIES IN BASIC SCIENCES IASBS   (Iran)

^b TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

FILM THICKNESS; FOAMS; GEOMETRY; LIGHT REFLECTION; LIQUID FILMS; PHOTONS;

DIFFUSIVE TRANSPORT; KELVIN FOAM; RANDOM WALKS; VORONOI STRUCTURES;

LIGHT TRANSMISSION;

EID: 43749108607     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.77.051109     Document Type: Article

References (54)

1. P. Sheng, Introduction to Wave Scattering, Localization, and Mesoscopic Phenomena (Academic, San Diego, 1995).
2. A. Yodh and B. Chance, Phys. Today 48 (3), 34 (1995). 0031-9228
3. G. Maret and P. E. Wolf, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01303762 65, 409 (1987)
4. D. J. Pine, D. A. Weitz, P. M. Chaikin, and E. Herbolzheimer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.60.1134 60, 1134 (1988).
5. C. M. Aegerter, M. Störzer, and G. Maret, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2006-10144-3 75, 562 (2006).
6. B. A. van Tiggelen, R. Maynard, and A. Heiderich, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.639 77, 639 (1996)
7. H. Stark and T. C. Lubensky, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.2229 77, 2229 (1996)
8. B. A. van Tiggelen and H. Stark, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.72.1017 72, 1017 (2000).
9. D. Weaire and N. Rivier, Contemp. Phys. CTPHAF 0010-7514 10.1080/00107518408210979 25, 59 (1984).
10. D. Weaire and S. Hutzler, The Physics of Foams (Oxford University Press, New York, 1999).
11. D. J. Durian, D. A. Weitz, and D. J. Pine, Science SCIEAS 0036-8075 10.1126/science.252.5006.686 252, 686 (1991)
12. D. J. Durian, D. A. Weitz, and D. J. Pine, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.44.R7902 44, R7902 (1991).
13. M. U. Vera, A. Saint-Jalmes, and D. J. Durian, Appl. Opt. APOPAI 0003-6935 10.1364/AO.40.004210 40, 4210 (2001).
14. J. C. Earnshaw and A. H. Jaafar, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.49.5408 49, 5408 (1994)
15. A. D. Gopal and D. J. Durian, J. Colloid Interface Sci. JCISA5 0021-9797 10.1006/jcis.1999.6123 213, 169 (1999)
16. A. D. Gopal and D. J. Durian, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.188303 91, 188303 (2003)
17. R. Höhler, S. Cohen-Addad, and H. Hoballah, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.1154 79, 1154 (1997)
18. S. Cohen-Addad and R. Höhler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.4700 86, 4700 (2001)
19. S. Cohen-Addad, R. Höhler, and Y. Khidas, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.028302 93, 028302 (2004).
20. A. S. Gittings, R. Bandyopadhyay, and D. J. Durian, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-10084-4 65, 414 (2004).
21. S. Skipetrov (unpublished).
22. M. F. Miri and H. Stark, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.031102 68, 031102 (2003).
23. M. F. Miri and H. Stark, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-10126-y 65, 567 (2004).
24. M. F. Miri and H. Stark, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/ 38/17/003 38, 3743 (2005).
25. M. F. Miri, E. Madadi, and H. Stark, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.031111 72, 031111 (2005).
26. M. F. Miri, Z. Sadjadi, and M. E. Fouladvand, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.031115 73, 031115 (2006).
27. M. Schmiedeberg, M. F. Miri, and H. Stark, Eur. Phys. J. E EPJSFH 1292-8941 10.1140/epje/i2005-10034-6 18, 123 (2005).
28. A. Okabe, B. Boots, and K. Sugihara, Spatial Tessellations, Concepts and Applications of Voronoi Diagrams (Wiley, Chichester, 2000).
29. The Kelvin Problem, edited by, D. Weaire, (Taylor and Francis, London, 1996).
30. E. B. Matzke, Am. J. Bot. AJBOAA 0002-9122 10.2307/2437492 33, 58 (1946).
31. K. Brakke, Exp. Math. ZZZZZZ 1058-6458 1, 141 (1992)
32. http://www.susqu.edu/facstaff/b/brakke/evolver/
33. http://www.qhull.org
34. A. M. Kraynik, D. A. Reinelt, and F. van Swol, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.208301 93, 208301 (2004).
35. C. Monnereau, B. Prunet-Foch, and M. Vignes-Adler, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.061402 63, 061402 (2001).
36. A. M. Kraynik, D. A. Reinelt, and F. van Swol, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.031403 67, 031403 (2003).
37. J. W. Haus and K. W. Kehr, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(87)90005-6 150, 263 (1987).
38. G. H. Weiss, Aspects and Applications of the Random Walk (North-Holland, Amsterdam, 1994).
39. R. Fürth, Ann. Phys. ANPYA2 0003-3804 53, 177 (1917).
40. G. I. Taylor, Proc. London Math. Soc. PLMTAL 0024-6115 s2-20, 196 (1922).
41. P. J. Flory, Statistical Mechanics of Chain Molecules (Interscience, New York, 1969).
42. S. Godoy, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.56.4884 56, 4884 (1997)
43. S. Godoy, L. S. García-Colín, and V. Micenmacher, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.59.6180 59, 6180 (1999).
44. H. Larralde, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.56.5004 56, 5004 (1997)
45. M. Boguñá, J. M. Porrà, and J. Masoliver, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.6992 58, 6992 (1998)
46. M. Boguñá, J. M. Porrà, and J. Masoliver, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.59.6517 59, 6517 (1999)
47. J. Dunkel, P. Talkner, and P. Hänggi, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.75.043001 75, 043001 (2007).
48. G. H. Weiss, Physica A PHYADX 0378-4371 10.1016/S0378-4371(02)00805-1 311, 381 (2002).
49. J. R. Reitz, F. J. Milford, and R. W. Christy, Foundations of Electromagnetic Theory (Addison-Wesley, Reading, 1979).
50. M. U. Vera and D. J. Durian, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.088304 88, 088304 (2002)
51. S. A. Koehler, S. Hilgenfeldt, and. H. A. Stone, Langmuir LANGD5 0743-7463 10.1021/la9913147 16, 6327 (2000).
52. D. M. A. Buzza and M. E. Cates, Langmuir LANGD5 0743-7463 10.1021/la00033a004 9, 2264 (1993).
53. Q. Sun and S. Hutzler, Colloids Surf., A CPEAEH 0927-7757 10.1016/j.colsurfa.2006.11.058 309, 182 (2007).
54. A. van der Net, L. Blondel, A. Saugey, and W. Drenckhan, Colloids Surf., A CPEAEH 0927-7757 10.1016/j.colsurfa.2006.11.057 309, 159 (2007).