Abstract

We investigate the dynamics of a 10fs light pulse propagating in a random medium by the direct solution of the three-dimensional Maxwell equations. Our approach employs molecular dynamics to generate a distribution of spherical scatterers and a parallel finite-difference time-domain code for the vectorial wave propagation. We calculate the disorder-averaged energy velocity and the decay time of the transmitted pulse versus the localization length for an increasing refractive index.

© 2009 Optical Society of America

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  1. P. Anderson, Phys. Rev. 109, 1492 (1958).
    [CrossRef]
  2. S. John, Phys. Rev. Lett. 53, 2169 (1984).
    [CrossRef]
  3. M. Kaveh, Philos. Mag. B 56, 693 (1987).
    [CrossRef]
  4. L. Tsang and A. Ishimaru, J. Opt. Soc. Am. A 1, 836 (1984).
    [CrossRef]
  5. M. Albada and A. Lagendijk, Phys. Rev. Lett. 55, 2692 (1984).
    [CrossRef]
  6. P. Wolf and G. Maret, Phys. Rev. Lett. 55, 2692 (1985).
    [CrossRef]
  7. D. S. Wiersma, P. Bartolini, A. Lagendijk, and R. Righini, Nature 390, 671 (1997).
    [CrossRef]
  8. P. M. Johnson, A. Imhof, B. P. J. Bret, J. G. Rivas, and A. Lagendijk, Phys. Rev. E 68, 016604 (2003).
    [CrossRef]
  9. F. A. Pinheiro, M. Rusek, A. Orlowski, and B. A. Tiggelen, Phys. Rev. E 69, 026605 (2004).
    [CrossRef]
  10. A. Lubatsch, J. Kroha, and K. Busch, Phys. Rev. B 71, 184201 (2005).
    [CrossRef]
  11. R. Sapienza, P. García, J. Bertolotti, M. D. Martín, A. Blanco, L. Vina, C. López, and D. Wiersma, Phys. Rev. Lett. 99, 233902 (2007).
    [CrossRef]
  12. S. E. Skipetrov and B. A. Tiggelen, Phys. Rev. Lett. 96, 043902 (2006).
    [CrossRef] [PubMed]
  13. C. Toninelli, E. Vekris, G. A. Ozin, S. John, and D. S. Wiersma, Phys. Rev. Lett. 101, 123901 (2008).
    [CrossRef] [PubMed]
  14. C. Conti and A. Fratalocchi, Nat. Phys. 4, 794 (2008).
    [CrossRef]
  15. J. Billy, V. Josse, Z. Zuo, A. Bernard, B. Hambrecht, P. Lugan, D. Clement, L. Sanchez-Palencia, P. Bouyer, and A. Aspect, Nature 453, 891 (2008).
    [CrossRef] [PubMed]
  16. G. Roati, C. D'Errico, L. Fallani, M. Fattori, C. Fort, M. Zaccanti, G. Modugno, M. Modugno, and M. Inguscio, Nature 453, 895 (2008).
    [CrossRef] [PubMed]
  17. H. Hu, A. Strybulevych, J. H. Page, S. E. Skipetrov, and B. A. Van Tiggelen, arXiv:0805.1502 (2008).
  18. T. Schwartz, G. Bartal, S. Fishman, and M. Segev, Nature 446, 52 (2007).
    [CrossRef] [PubMed]
  19. C. Calba, L. Méès, C. Rozé, and T. Girasole, J. Opt. Soc. Am. A 25, 1541 (2008).
    [CrossRef]
  20. C. Conti, L. Angelani, and G. Ruocco, Phys. Rev. A 75, 033812 (2007).
    [CrossRef]
  21. I. M. Vellekoop, P. Lodahl, and A. Lagendijk, Phys. Rev. E 71, 056604 (2005).
    [CrossRef]
  22. M. Storzer, P. Gross, C. M. Aegerter, and G. Maret, Phys. Rev. Lett. 96, 063904 (2006).
    [CrossRef] [PubMed]
  23. A. Taflove and S. C. Hagness, Computational Electrodynamics: the Finite-Difference Time-Domain Method, 3rd ed. (Artech House, 2000).

2008

C. Toninelli, E. Vekris, G. A. Ozin, S. John, and D. S. Wiersma, Phys. Rev. Lett. 101, 123901 (2008).
[CrossRef] [PubMed]

C. Conti and A. Fratalocchi, Nat. Phys. 4, 794 (2008).
[CrossRef]

J. Billy, V. Josse, Z. Zuo, A. Bernard, B. Hambrecht, P. Lugan, D. Clement, L. Sanchez-Palencia, P. Bouyer, and A. Aspect, Nature 453, 891 (2008).
[CrossRef] [PubMed]

G. Roati, C. D'Errico, L. Fallani, M. Fattori, C. Fort, M. Zaccanti, G. Modugno, M. Modugno, and M. Inguscio, Nature 453, 895 (2008).
[CrossRef] [PubMed]

C. Calba, L. Méès, C. Rozé, and T. Girasole, J. Opt. Soc. Am. A 25, 1541 (2008).
[CrossRef]

2007

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, Nature 446, 52 (2007).
[CrossRef] [PubMed]

C. Conti, L. Angelani, and G. Ruocco, Phys. Rev. A 75, 033812 (2007).
[CrossRef]

R. Sapienza, P. García, J. Bertolotti, M. D. Martín, A. Blanco, L. Vina, C. López, and D. Wiersma, Phys. Rev. Lett. 99, 233902 (2007).
[CrossRef]

2006

S. E. Skipetrov and B. A. Tiggelen, Phys. Rev. Lett. 96, 043902 (2006).
[CrossRef] [PubMed]

M. Storzer, P. Gross, C. M. Aegerter, and G. Maret, Phys. Rev. Lett. 96, 063904 (2006).
[CrossRef] [PubMed]

2005

A. Lubatsch, J. Kroha, and K. Busch, Phys. Rev. B 71, 184201 (2005).
[CrossRef]

I. M. Vellekoop, P. Lodahl, and A. Lagendijk, Phys. Rev. E 71, 056604 (2005).
[CrossRef]

2004

F. A. Pinheiro, M. Rusek, A. Orlowski, and B. A. Tiggelen, Phys. Rev. E 69, 026605 (2004).
[CrossRef]

2003

P. M. Johnson, A. Imhof, B. P. J. Bret, J. G. Rivas, and A. Lagendijk, Phys. Rev. E 68, 016604 (2003).
[CrossRef]

1997

D. S. Wiersma, P. Bartolini, A. Lagendijk, and R. Righini, Nature 390, 671 (1997).
[CrossRef]

1987

M. Kaveh, Philos. Mag. B 56, 693 (1987).
[CrossRef]

1985

P. Wolf and G. Maret, Phys. Rev. Lett. 55, 2692 (1985).
[CrossRef]

1984

M. Albada and A. Lagendijk, Phys. Rev. Lett. 55, 2692 (1984).
[CrossRef]

S. John, Phys. Rev. Lett. 53, 2169 (1984).
[CrossRef]

L. Tsang and A. Ishimaru, J. Opt. Soc. Am. A 1, 836 (1984).
[CrossRef]

1958

P. Anderson, Phys. Rev. 109, 1492 (1958).
[CrossRef]

Aegerter, C. M.

M. Storzer, P. Gross, C. M. Aegerter, and G. Maret, Phys. Rev. Lett. 96, 063904 (2006).
[CrossRef] [PubMed]

Albada, M.

M. Albada and A. Lagendijk, Phys. Rev. Lett. 55, 2692 (1984).
[CrossRef]

Anderson, P.

P. Anderson, Phys. Rev. 109, 1492 (1958).
[CrossRef]

Angelani, L.

C. Conti, L. Angelani, and G. Ruocco, Phys. Rev. A 75, 033812 (2007).
[CrossRef]

Aspect, A.

J. Billy, V. Josse, Z. Zuo, A. Bernard, B. Hambrecht, P. Lugan, D. Clement, L. Sanchez-Palencia, P. Bouyer, and A. Aspect, Nature 453, 891 (2008).
[CrossRef] [PubMed]

Bartal, G.

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, Nature 446, 52 (2007).
[CrossRef] [PubMed]

Bartolini, P.

D. S. Wiersma, P. Bartolini, A. Lagendijk, and R. Righini, Nature 390, 671 (1997).
[CrossRef]

Bernard, A.

J. Billy, V. Josse, Z. Zuo, A. Bernard, B. Hambrecht, P. Lugan, D. Clement, L. Sanchez-Palencia, P. Bouyer, and A. Aspect, Nature 453, 891 (2008).
[CrossRef] [PubMed]

Bertolotti, J.

R. Sapienza, P. García, J. Bertolotti, M. D. Martín, A. Blanco, L. Vina, C. López, and D. Wiersma, Phys. Rev. Lett. 99, 233902 (2007).
[CrossRef]

Billy, J.

J. Billy, V. Josse, Z. Zuo, A. Bernard, B. Hambrecht, P. Lugan, D. Clement, L. Sanchez-Palencia, P. Bouyer, and A. Aspect, Nature 453, 891 (2008).
[CrossRef] [PubMed]

Blanco, A.

R. Sapienza, P. García, J. Bertolotti, M. D. Martín, A. Blanco, L. Vina, C. López, and D. Wiersma, Phys. Rev. Lett. 99, 233902 (2007).
[CrossRef]

Bouyer, P.

J. Billy, V. Josse, Z. Zuo, A. Bernard, B. Hambrecht, P. Lugan, D. Clement, L. Sanchez-Palencia, P. Bouyer, and A. Aspect, Nature 453, 891 (2008).
[CrossRef] [PubMed]

Bret, B. P. J.

P. M. Johnson, A. Imhof, B. P. J. Bret, J. G. Rivas, and A. Lagendijk, Phys. Rev. E 68, 016604 (2003).
[CrossRef]

Busch, K.

A. Lubatsch, J. Kroha, and K. Busch, Phys. Rev. B 71, 184201 (2005).
[CrossRef]

Calba, C.

Clement, D.

J. Billy, V. Josse, Z. Zuo, A. Bernard, B. Hambrecht, P. Lugan, D. Clement, L. Sanchez-Palencia, P. Bouyer, and A. Aspect, Nature 453, 891 (2008).
[CrossRef] [PubMed]

Conti, C.

C. Conti and A. Fratalocchi, Nat. Phys. 4, 794 (2008).
[CrossRef]

C. Conti, L. Angelani, and G. Ruocco, Phys. Rev. A 75, 033812 (2007).
[CrossRef]

D'Errico, C.

G. Roati, C. D'Errico, L. Fallani, M. Fattori, C. Fort, M. Zaccanti, G. Modugno, M. Modugno, and M. Inguscio, Nature 453, 895 (2008).
[CrossRef] [PubMed]

Fallani, L.

G. Roati, C. D'Errico, L. Fallani, M. Fattori, C. Fort, M. Zaccanti, G. Modugno, M. Modugno, and M. Inguscio, Nature 453, 895 (2008).
[CrossRef] [PubMed]

Fattori, M.

G. Roati, C. D'Errico, L. Fallani, M. Fattori, C. Fort, M. Zaccanti, G. Modugno, M. Modugno, and M. Inguscio, Nature 453, 895 (2008).
[CrossRef] [PubMed]

Fishman, S.

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, Nature 446, 52 (2007).
[CrossRef] [PubMed]

Fort, C.

G. Roati, C. D'Errico, L. Fallani, M. Fattori, C. Fort, M. Zaccanti, G. Modugno, M. Modugno, and M. Inguscio, Nature 453, 895 (2008).
[CrossRef] [PubMed]

Fratalocchi, A.

C. Conti and A. Fratalocchi, Nat. Phys. 4, 794 (2008).
[CrossRef]

García, P.

R. Sapienza, P. García, J. Bertolotti, M. D. Martín, A. Blanco, L. Vina, C. López, and D. Wiersma, Phys. Rev. Lett. 99, 233902 (2007).
[CrossRef]

Girasole, T.

Gross, P.

M. Storzer, P. Gross, C. M. Aegerter, and G. Maret, Phys. Rev. Lett. 96, 063904 (2006).
[CrossRef] [PubMed]

Hagness, S. C.

A. Taflove and S. C. Hagness, Computational Electrodynamics: the Finite-Difference Time-Domain Method, 3rd ed. (Artech House, 2000).

Hambrecht, B.

J. Billy, V. Josse, Z. Zuo, A. Bernard, B. Hambrecht, P. Lugan, D. Clement, L. Sanchez-Palencia, P. Bouyer, and A. Aspect, Nature 453, 891 (2008).
[CrossRef] [PubMed]

Hu, H.

H. Hu, A. Strybulevych, J. H. Page, S. E. Skipetrov, and B. A. Van Tiggelen, arXiv:0805.1502 (2008).

Imhof, A.

P. M. Johnson, A. Imhof, B. P. J. Bret, J. G. Rivas, and A. Lagendijk, Phys. Rev. E 68, 016604 (2003).
[CrossRef]

Inguscio, M.

G. Roati, C. D'Errico, L. Fallani, M. Fattori, C. Fort, M. Zaccanti, G. Modugno, M. Modugno, and M. Inguscio, Nature 453, 895 (2008).
[CrossRef] [PubMed]

Ishimaru, A.

John, S.

C. Toninelli, E. Vekris, G. A. Ozin, S. John, and D. S. Wiersma, Phys. Rev. Lett. 101, 123901 (2008).
[CrossRef] [PubMed]

S. John, Phys. Rev. Lett. 53, 2169 (1984).
[CrossRef]

Johnson, P. M.

P. M. Johnson, A. Imhof, B. P. J. Bret, J. G. Rivas, and A. Lagendijk, Phys. Rev. E 68, 016604 (2003).
[CrossRef]

Josse, V.

J. Billy, V. Josse, Z. Zuo, A. Bernard, B. Hambrecht, P. Lugan, D. Clement, L. Sanchez-Palencia, P. Bouyer, and A. Aspect, Nature 453, 891 (2008).
[CrossRef] [PubMed]

Kaveh, M.

M. Kaveh, Philos. Mag. B 56, 693 (1987).
[CrossRef]

Kroha, J.

A. Lubatsch, J. Kroha, and K. Busch, Phys. Rev. B 71, 184201 (2005).
[CrossRef]

Lagendijk, A.

I. M. Vellekoop, P. Lodahl, and A. Lagendijk, Phys. Rev. E 71, 056604 (2005).
[CrossRef]

P. M. Johnson, A. Imhof, B. P. J. Bret, J. G. Rivas, and A. Lagendijk, Phys. Rev. E 68, 016604 (2003).
[CrossRef]

D. S. Wiersma, P. Bartolini, A. Lagendijk, and R. Righini, Nature 390, 671 (1997).
[CrossRef]

M. Albada and A. Lagendijk, Phys. Rev. Lett. 55, 2692 (1984).
[CrossRef]

Lodahl, P.

I. M. Vellekoop, P. Lodahl, and A. Lagendijk, Phys. Rev. E 71, 056604 (2005).
[CrossRef]

López, C.

R. Sapienza, P. García, J. Bertolotti, M. D. Martín, A. Blanco, L. Vina, C. López, and D. Wiersma, Phys. Rev. Lett. 99, 233902 (2007).
[CrossRef]

Lubatsch, A.

A. Lubatsch, J. Kroha, and K. Busch, Phys. Rev. B 71, 184201 (2005).
[CrossRef]

Lugan, P.

J. Billy, V. Josse, Z. Zuo, A. Bernard, B. Hambrecht, P. Lugan, D. Clement, L. Sanchez-Palencia, P. Bouyer, and A. Aspect, Nature 453, 891 (2008).
[CrossRef] [PubMed]

Maret, G.

M. Storzer, P. Gross, C. M. Aegerter, and G. Maret, Phys. Rev. Lett. 96, 063904 (2006).
[CrossRef] [PubMed]

P. Wolf and G. Maret, Phys. Rev. Lett. 55, 2692 (1985).
[CrossRef]

Martín, M. D.

R. Sapienza, P. García, J. Bertolotti, M. D. Martín, A. Blanco, L. Vina, C. López, and D. Wiersma, Phys. Rev. Lett. 99, 233902 (2007).
[CrossRef]

Méès, L.

Modugno, G.

G. Roati, C. D'Errico, L. Fallani, M. Fattori, C. Fort, M. Zaccanti, G. Modugno, M. Modugno, and M. Inguscio, Nature 453, 895 (2008).
[CrossRef] [PubMed]

Modugno, M.

G. Roati, C. D'Errico, L. Fallani, M. Fattori, C. Fort, M. Zaccanti, G. Modugno, M. Modugno, and M. Inguscio, Nature 453, 895 (2008).
[CrossRef] [PubMed]

Orlowski, A.

F. A. Pinheiro, M. Rusek, A. Orlowski, and B. A. Tiggelen, Phys. Rev. E 69, 026605 (2004).
[CrossRef]

Ozin, G. A.

C. Toninelli, E. Vekris, G. A. Ozin, S. John, and D. S. Wiersma, Phys. Rev. Lett. 101, 123901 (2008).
[CrossRef] [PubMed]

Page, J. H.

H. Hu, A. Strybulevych, J. H. Page, S. E. Skipetrov, and B. A. Van Tiggelen, arXiv:0805.1502 (2008).

Pinheiro, F. A.

F. A. Pinheiro, M. Rusek, A. Orlowski, and B. A. Tiggelen, Phys. Rev. E 69, 026605 (2004).
[CrossRef]

Righini, R.

D. S. Wiersma, P. Bartolini, A. Lagendijk, and R. Righini, Nature 390, 671 (1997).
[CrossRef]

Rivas, J. G.

P. M. Johnson, A. Imhof, B. P. J. Bret, J. G. Rivas, and A. Lagendijk, Phys. Rev. E 68, 016604 (2003).
[CrossRef]

Roati, G.

G. Roati, C. D'Errico, L. Fallani, M. Fattori, C. Fort, M. Zaccanti, G. Modugno, M. Modugno, and M. Inguscio, Nature 453, 895 (2008).
[CrossRef] [PubMed]

Rozé, C.

Ruocco, G.

C. Conti, L. Angelani, and G. Ruocco, Phys. Rev. A 75, 033812 (2007).
[CrossRef]

Rusek, M.

F. A. Pinheiro, M. Rusek, A. Orlowski, and B. A. Tiggelen, Phys. Rev. E 69, 026605 (2004).
[CrossRef]

Sanchez-Palencia, L.

J. Billy, V. Josse, Z. Zuo, A. Bernard, B. Hambrecht, P. Lugan, D. Clement, L. Sanchez-Palencia, P. Bouyer, and A. Aspect, Nature 453, 891 (2008).
[CrossRef] [PubMed]

Sapienza, R.

R. Sapienza, P. García, J. Bertolotti, M. D. Martín, A. Blanco, L. Vina, C. López, and D. Wiersma, Phys. Rev. Lett. 99, 233902 (2007).
[CrossRef]

Schwartz, T.

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, Nature 446, 52 (2007).
[CrossRef] [PubMed]

Segev, M.

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, Nature 446, 52 (2007).
[CrossRef] [PubMed]

Skipetrov, S. E.

S. E. Skipetrov and B. A. Tiggelen, Phys. Rev. Lett. 96, 043902 (2006).
[CrossRef] [PubMed]

H. Hu, A. Strybulevych, J. H. Page, S. E. Skipetrov, and B. A. Van Tiggelen, arXiv:0805.1502 (2008).

Storzer, M.

M. Storzer, P. Gross, C. M. Aegerter, and G. Maret, Phys. Rev. Lett. 96, 063904 (2006).
[CrossRef] [PubMed]

Strybulevych, A.

H. Hu, A. Strybulevych, J. H. Page, S. E. Skipetrov, and B. A. Van Tiggelen, arXiv:0805.1502 (2008).

Taflove, A.

A. Taflove and S. C. Hagness, Computational Electrodynamics: the Finite-Difference Time-Domain Method, 3rd ed. (Artech House, 2000).

Tiggelen, B. A.

S. E. Skipetrov and B. A. Tiggelen, Phys. Rev. Lett. 96, 043902 (2006).
[CrossRef] [PubMed]

F. A. Pinheiro, M. Rusek, A. Orlowski, and B. A. Tiggelen, Phys. Rev. E 69, 026605 (2004).
[CrossRef]

Toninelli, C.

C. Toninelli, E. Vekris, G. A. Ozin, S. John, and D. S. Wiersma, Phys. Rev. Lett. 101, 123901 (2008).
[CrossRef] [PubMed]

Tsang, L.

Van Tiggelen, B. A.

H. Hu, A. Strybulevych, J. H. Page, S. E. Skipetrov, and B. A. Van Tiggelen, arXiv:0805.1502 (2008).

Vekris, E.

C. Toninelli, E. Vekris, G. A. Ozin, S. John, and D. S. Wiersma, Phys. Rev. Lett. 101, 123901 (2008).
[CrossRef] [PubMed]

Vellekoop, I. M.

I. M. Vellekoop, P. Lodahl, and A. Lagendijk, Phys. Rev. E 71, 056604 (2005).
[CrossRef]

Vina, L.

R. Sapienza, P. García, J. Bertolotti, M. D. Martín, A. Blanco, L. Vina, C. López, and D. Wiersma, Phys. Rev. Lett. 99, 233902 (2007).
[CrossRef]

Wiersma, D.

R. Sapienza, P. García, J. Bertolotti, M. D. Martín, A. Blanco, L. Vina, C. López, and D. Wiersma, Phys. Rev. Lett. 99, 233902 (2007).
[CrossRef]

Wiersma, D. S.

C. Toninelli, E. Vekris, G. A. Ozin, S. John, and D. S. Wiersma, Phys. Rev. Lett. 101, 123901 (2008).
[CrossRef] [PubMed]

D. S. Wiersma, P. Bartolini, A. Lagendijk, and R. Righini, Nature 390, 671 (1997).
[CrossRef]

Wolf, P.

P. Wolf and G. Maret, Phys. Rev. Lett. 55, 2692 (1985).
[CrossRef]

Zaccanti, M.

G. Roati, C. D'Errico, L. Fallani, M. Fattori, C. Fort, M. Zaccanti, G. Modugno, M. Modugno, and M. Inguscio, Nature 453, 895 (2008).
[CrossRef] [PubMed]

Zuo, Z.

J. Billy, V. Josse, Z. Zuo, A. Bernard, B. Hambrecht, P. Lugan, D. Clement, L. Sanchez-Palencia, P. Bouyer, and A. Aspect, Nature 453, 891 (2008).
[CrossRef] [PubMed]

J. Opt. Soc. Am. A

Nat. Phys.

C. Conti and A. Fratalocchi, Nat. Phys. 4, 794 (2008).
[CrossRef]

Nature

J. Billy, V. Josse, Z. Zuo, A. Bernard, B. Hambrecht, P. Lugan, D. Clement, L. Sanchez-Palencia, P. Bouyer, and A. Aspect, Nature 453, 891 (2008).
[CrossRef] [PubMed]

G. Roati, C. D'Errico, L. Fallani, M. Fattori, C. Fort, M. Zaccanti, G. Modugno, M. Modugno, and M. Inguscio, Nature 453, 895 (2008).
[CrossRef] [PubMed]

D. S. Wiersma, P. Bartolini, A. Lagendijk, and R. Righini, Nature 390, 671 (1997).
[CrossRef]

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, Nature 446, 52 (2007).
[CrossRef] [PubMed]

Philos. Mag. B

M. Kaveh, Philos. Mag. B 56, 693 (1987).
[CrossRef]

Phys. Rev.

P. Anderson, Phys. Rev. 109, 1492 (1958).
[CrossRef]

Phys. Rev. A

C. Conti, L. Angelani, and G. Ruocco, Phys. Rev. A 75, 033812 (2007).
[CrossRef]

Phys. Rev. B

A. Lubatsch, J. Kroha, and K. Busch, Phys. Rev. B 71, 184201 (2005).
[CrossRef]

Phys. Rev. E

P. M. Johnson, A. Imhof, B. P. J. Bret, J. G. Rivas, and A. Lagendijk, Phys. Rev. E 68, 016604 (2003).
[CrossRef]

F. A. Pinheiro, M. Rusek, A. Orlowski, and B. A. Tiggelen, Phys. Rev. E 69, 026605 (2004).
[CrossRef]

I. M. Vellekoop, P. Lodahl, and A. Lagendijk, Phys. Rev. E 71, 056604 (2005).
[CrossRef]

Phys. Rev. Lett.

M. Storzer, P. Gross, C. M. Aegerter, and G. Maret, Phys. Rev. Lett. 96, 063904 (2006).
[CrossRef] [PubMed]

M. Albada and A. Lagendijk, Phys. Rev. Lett. 55, 2692 (1984).
[CrossRef]

P. Wolf and G. Maret, Phys. Rev. Lett. 55, 2692 (1985).
[CrossRef]

R. Sapienza, P. García, J. Bertolotti, M. D. Martín, A. Blanco, L. Vina, C. López, and D. Wiersma, Phys. Rev. Lett. 99, 233902 (2007).
[CrossRef]

S. E. Skipetrov and B. A. Tiggelen, Phys. Rev. Lett. 96, 043902 (2006).
[CrossRef] [PubMed]

C. Toninelli, E. Vekris, G. A. Ozin, S. John, and D. S. Wiersma, Phys. Rev. Lett. 101, 123901 (2008).
[CrossRef] [PubMed]

S. John, Phys. Rev. Lett. 53, 2169 (1984).
[CrossRef]

Other

A. Taflove and S. C. Hagness, Computational Electrodynamics: the Finite-Difference Time-Domain Method, 3rd ed. (Artech House, 2000).

H. Hu, A. Strybulevych, J. H. Page, S. E. Skipetrov, and B. A. Van Tiggelen, arXiv:0805.1502 (2008).

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Figures (5)

Fig. 1
Fig. 1

Transmitted pulse T ( t ) in linear scale for increasing refractive index n; the filled region is the adopted input pulse. T ( t ) is scaled to unitary peak value for any n. The inset shows the time delay Δ T used to evaluate the energy propagation velocity v E .

Fig. 2
Fig. 2

(a)–(c) Spatial distribution of the energy at the output face of the sample (for a CW excitation at λ = 532 nm ). (d)–(f) Spectrum of the electric field E y (thin curve) calculated for n = 1.4 , 2.2, and 2.8; the thick curve is the spectrum of the incident pulsed beam.

Fig. 3
Fig. 3

Phase v p (circles) and energy v E (triangles) velocity versus n.

Fig. 4
Fig. 4

Distribution of decay times of the trailing edge of the transmission T for various n. The inset shows the log-scale plot of normalized transmitted signals T ( t ) (trailing edge).

Fig. 5
Fig. 5

(a) Localization length ξ versus refractive index n; the error bars and average values as calculated over five realizations of the disorder. The two insets show the snapshot of the energy profile at the output face of the sample for two values of n. (b) Parametric plot (with respect to n) versus localization length ξ: ratio v p v E (circles, left vertical axis) and diffusion constant D (triangles, right vertical axis).

Equations (2)

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T ( t ) = 0 e t τ g ( τ ) d τ ,
ξ = { [ V E 2 ( x , y , z ) d V ] 2 { [ V ( x , y , z ) d V ] } 1 / 3 ,

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