Abstract

We investigate the far field of a spatial dispersive shock wave generated from a Gaussian beam propagating in nonlinear nonlocal colloidal disordered media. The interplay between nonlinearity and structural randomness is quantified in terms of the threshold power for the occurrence of the shock wave.

© 2012 Optical Society of America

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  1. C. Sun, J. Schu, C. Barsi, S. Rica, A. Picozzi, and J. W. Fleischer, “Observation of the kinetic condensation of classical waves,” Nat. Phys. 8, 471–475 (2012).
    [Crossref]
  2. W. Wan, S. Jia, and J. W. Fleischer, “Dispersive superfluid-like shock waves in nonlinear optics,” Nat. Phys. 3, 46–51 (2007).
    [Crossref]
  3. C. Conti and L. Leuzzi, “Complexity of waves in nonlinear disordered media,” Phys. Rev. B 83, 134204 (2011).
    [Crossref]
  4. S. A. Gredeskul and Y. S. Kivshar, “Propagation and scattering of nonlinear waves in disordered systems,” Phys. Rep. 216, 1–61 (1992).
    [Crossref]
  5. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton percolation in random optical lattices,” Opt. Express 15, 12409–12417 (2007).
    [Crossref] [PubMed]
  6. Y. S. Kivshar, S. A. Gredeskul, A. Sanchez, and L. Vazquez, “Localization decay induced by strong nonlinearity in disordered systems,” Phys. Rev. Lett. 64, 1693–1696 (1990).
    [Crossref] [PubMed]
  7. A. Pikovsky and S. Fishman, “Scaling properties of weak chao in nonlinear disordered lattcies,” Phys. Rev. E 83, 025201 (2011).
    [Crossref]
  8. Z. V. Vardeny and A. Nahata, “Photonic quasicrystals: disorder-enhanced light transport,” Nat. Photonics 5, 453–454 (2011).
    [Crossref]
  9. I. V. Shadrivov, K. Y. Bliokh, V. Freilikher, and Y. S. Kivshar, “Bistability of Anderson localized states in nonlinear random media,” Phys. Rev. Lett. 104, 123902 (2010).
    [Crossref] [PubMed]
  10. Y. Lahini, A. Avidan, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, “Anderson localization and nonlinearity in onedimensional disorded photonic lattices,” Phys. Rev. Lett. 100, 013906 (2008).
    [Crossref] [PubMed]
  11. L. Martin, G. Di Giuseppe, A. Perez-Leija, R. Keil, F. Dreisow, M. Heinrich, S. Nolte, A. Szameit, A. F. Abouraddy, D. N. Christodoulides, and B. E. A. Saleh, “Anderson localization in optical waveguide arrays with off-diagonal coupling disorder,” Opt. Express 19, 13636–13646 (2011).
    [Crossref] [PubMed]
  12. T. Schwartz, G. Bartal, S. Fishman, and M. Segev, “Transport and Anderson localization in disordered two-dimensional photonic lattices,” Nature 446, 52–55 (2007).
    [Crossref] [PubMed]
  13. L. Levi, M. Rechtsman, B. Freedman, T. Schwartz, and M. Segev, “Disorder-enhanced transport in photonics quasicrystals,” Science 332, 1541–1544 (2011).
    [Crossref] [PubMed]
  14. N. Ghofraniha, C. Conti, G. Ruocco, and S. Trillo, “Shocks in nonlocal media,” Phys. Rev. Lett. 99, 043903 (2007).
    [Crossref] [PubMed]
  15. N. Ghofraniha, L. Santamaria Amato, V. Folli, S. Trillo, E. DelRe, and C. Conti, “Measurement of scaling laws for shock waves in thermal nonlocal media,” Opt. Lett. 37, 2325–2327 (2012).
    [Crossref] [PubMed]
  16. N. Ghofraniha, L. Santamaria Amato, V. Folli, C. Conti, and E. DelRe, “Formation and propagation of shock waves in nonlocal media,” Poster number JM5A.44 presented at Nonlinear Photonics Conference, Colorado Springs, CO, USA, 17–21 June 2012.
  17. A. Gurevich and L. P. Pitaevskii, “Stationary structure of a collisionless shock wave,” Sov.Phys. JETP 38, 291–297 (1973).
  18. J. C. Bronski and D. McLaughlin, Singular Limits of Dispersive Waves (Plenum, New York, 1994).
  19. A. M. Kamchatnov, R. A. Kraenkel, and B. A. Umarov, “Asymptotic soliton train solution of the defocusing nonlinear Schrödinger equation,” Phys. Rev. E 66, 036609 (2002).
    [Crossref]
  20. C. Conti, A. Fratalocchi, M. Peccianti, G. Ruocco, and S. Trillo, “Observation of a gradient catastrophe generating solitons,” Phys. Rev. Lett. 102, 083902 (2009).
    [Crossref] [PubMed]
  21. C. Barsi, W. Wan, C. Sun, and J. W. Fleischer, “Dispersive shock waves with nonlocal nonlinearity,” Opt. Lett. 32, 2930–2932 (2007).
    [Crossref] [PubMed]

2012 (2)

C. Sun, J. Schu, C. Barsi, S. Rica, A. Picozzi, and J. W. Fleischer, “Observation of the kinetic condensation of classical waves,” Nat. Phys. 8, 471–475 (2012).
[Crossref]

N. Ghofraniha, L. Santamaria Amato, V. Folli, S. Trillo, E. DelRe, and C. Conti, “Measurement of scaling laws for shock waves in thermal nonlocal media,” Opt. Lett. 37, 2325–2327 (2012).
[Crossref] [PubMed]

2011 (5)

L. Martin, G. Di Giuseppe, A. Perez-Leija, R. Keil, F. Dreisow, M. Heinrich, S. Nolte, A. Szameit, A. F. Abouraddy, D. N. Christodoulides, and B. E. A. Saleh, “Anderson localization in optical waveguide arrays with off-diagonal coupling disorder,” Opt. Express 19, 13636–13646 (2011).
[Crossref] [PubMed]

L. Levi, M. Rechtsman, B. Freedman, T. Schwartz, and M. Segev, “Disorder-enhanced transport in photonics quasicrystals,” Science 332, 1541–1544 (2011).
[Crossref] [PubMed]

C. Conti and L. Leuzzi, “Complexity of waves in nonlinear disordered media,” Phys. Rev. B 83, 134204 (2011).
[Crossref]

A. Pikovsky and S. Fishman, “Scaling properties of weak chao in nonlinear disordered lattcies,” Phys. Rev. E 83, 025201 (2011).
[Crossref]

Z. V. Vardeny and A. Nahata, “Photonic quasicrystals: disorder-enhanced light transport,” Nat. Photonics 5, 453–454 (2011).
[Crossref]

2010 (1)

I. V. Shadrivov, K. Y. Bliokh, V. Freilikher, and Y. S. Kivshar, “Bistability of Anderson localized states in nonlinear random media,” Phys. Rev. Lett. 104, 123902 (2010).
[Crossref] [PubMed]

2009 (1)

C. Conti, A. Fratalocchi, M. Peccianti, G. Ruocco, and S. Trillo, “Observation of a gradient catastrophe generating solitons,” Phys. Rev. Lett. 102, 083902 (2009).
[Crossref] [PubMed]

2008 (1)

Y. Lahini, A. Avidan, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, “Anderson localization and nonlinearity in onedimensional disorded photonic lattices,” Phys. Rev. Lett. 100, 013906 (2008).
[Crossref] [PubMed]

2007 (5)

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, “Transport and Anderson localization in disordered two-dimensional photonic lattices,” Nature 446, 52–55 (2007).
[Crossref] [PubMed]

W. Wan, S. Jia, and J. W. Fleischer, “Dispersive superfluid-like shock waves in nonlinear optics,” Nat. Phys. 3, 46–51 (2007).
[Crossref]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton percolation in random optical lattices,” Opt. Express 15, 12409–12417 (2007).
[Crossref] [PubMed]

C. Barsi, W. Wan, C. Sun, and J. W. Fleischer, “Dispersive shock waves with nonlocal nonlinearity,” Opt. Lett. 32, 2930–2932 (2007).
[Crossref] [PubMed]

N. Ghofraniha, C. Conti, G. Ruocco, and S. Trillo, “Shocks in nonlocal media,” Phys. Rev. Lett. 99, 043903 (2007).
[Crossref] [PubMed]

2002 (1)

A. M. Kamchatnov, R. A. Kraenkel, and B. A. Umarov, “Asymptotic soliton train solution of the defocusing nonlinear Schrödinger equation,” Phys. Rev. E 66, 036609 (2002).
[Crossref]

1992 (1)

S. A. Gredeskul and Y. S. Kivshar, “Propagation and scattering of nonlinear waves in disordered systems,” Phys. Rep. 216, 1–61 (1992).
[Crossref]

1990 (1)

Y. S. Kivshar, S. A. Gredeskul, A. Sanchez, and L. Vazquez, “Localization decay induced by strong nonlinearity in disordered systems,” Phys. Rev. Lett. 64, 1693–1696 (1990).
[Crossref] [PubMed]

1973 (1)

A. Gurevich and L. P. Pitaevskii, “Stationary structure of a collisionless shock wave,” Sov.Phys. JETP 38, 291–297 (1973).

Abouraddy, A. F.

Avidan, A.

Y. Lahini, A. Avidan, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, “Anderson localization and nonlinearity in onedimensional disorded photonic lattices,” Phys. Rev. Lett. 100, 013906 (2008).
[Crossref] [PubMed]

Barsi, C.

C. Sun, J. Schu, C. Barsi, S. Rica, A. Picozzi, and J. W. Fleischer, “Observation of the kinetic condensation of classical waves,” Nat. Phys. 8, 471–475 (2012).
[Crossref]

C. Barsi, W. Wan, C. Sun, and J. W. Fleischer, “Dispersive shock waves with nonlocal nonlinearity,” Opt. Lett. 32, 2930–2932 (2007).
[Crossref] [PubMed]

Bartal, G.

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, “Transport and Anderson localization in disordered two-dimensional photonic lattices,” Nature 446, 52–55 (2007).
[Crossref] [PubMed]

Bliokh, K. Y.

I. V. Shadrivov, K. Y. Bliokh, V. Freilikher, and Y. S. Kivshar, “Bistability of Anderson localized states in nonlinear random media,” Phys. Rev. Lett. 104, 123902 (2010).
[Crossref] [PubMed]

Bronski, J. C.

J. C. Bronski and D. McLaughlin, Singular Limits of Dispersive Waves (Plenum, New York, 1994).

Christodoulides, D. N.

L. Martin, G. Di Giuseppe, A. Perez-Leija, R. Keil, F. Dreisow, M. Heinrich, S. Nolte, A. Szameit, A. F. Abouraddy, D. N. Christodoulides, and B. E. A. Saleh, “Anderson localization in optical waveguide arrays with off-diagonal coupling disorder,” Opt. Express 19, 13636–13646 (2011).
[Crossref] [PubMed]

Y. Lahini, A. Avidan, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, “Anderson localization and nonlinearity in onedimensional disorded photonic lattices,” Phys. Rev. Lett. 100, 013906 (2008).
[Crossref] [PubMed]

Conti, C.

N. Ghofraniha, L. Santamaria Amato, V. Folli, S. Trillo, E. DelRe, and C. Conti, “Measurement of scaling laws for shock waves in thermal nonlocal media,” Opt. Lett. 37, 2325–2327 (2012).
[Crossref] [PubMed]

C. Conti and L. Leuzzi, “Complexity of waves in nonlinear disordered media,” Phys. Rev. B 83, 134204 (2011).
[Crossref]

C. Conti, A. Fratalocchi, M. Peccianti, G. Ruocco, and S. Trillo, “Observation of a gradient catastrophe generating solitons,” Phys. Rev. Lett. 102, 083902 (2009).
[Crossref] [PubMed]

N. Ghofraniha, C. Conti, G. Ruocco, and S. Trillo, “Shocks in nonlocal media,” Phys. Rev. Lett. 99, 043903 (2007).
[Crossref] [PubMed]

N. Ghofraniha, L. Santamaria Amato, V. Folli, C. Conti, and E. DelRe, “Formation and propagation of shock waves in nonlocal media,” Poster number JM5A.44 presented at Nonlinear Photonics Conference, Colorado Springs, CO, USA, 17–21 June 2012.

DelRe, E.

N. Ghofraniha, L. Santamaria Amato, V. Folli, S. Trillo, E. DelRe, and C. Conti, “Measurement of scaling laws for shock waves in thermal nonlocal media,” Opt. Lett. 37, 2325–2327 (2012).
[Crossref] [PubMed]

N. Ghofraniha, L. Santamaria Amato, V. Folli, C. Conti, and E. DelRe, “Formation and propagation of shock waves in nonlocal media,” Poster number JM5A.44 presented at Nonlinear Photonics Conference, Colorado Springs, CO, USA, 17–21 June 2012.

Di Giuseppe, G.

Dreisow, F.

Fishman, S.

A. Pikovsky and S. Fishman, “Scaling properties of weak chao in nonlinear disordered lattcies,” Phys. Rev. E 83, 025201 (2011).
[Crossref]

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, “Transport and Anderson localization in disordered two-dimensional photonic lattices,” Nature 446, 52–55 (2007).
[Crossref] [PubMed]

Fleischer, J. W.

C. Sun, J. Schu, C. Barsi, S. Rica, A. Picozzi, and J. W. Fleischer, “Observation of the kinetic condensation of classical waves,” Nat. Phys. 8, 471–475 (2012).
[Crossref]

W. Wan, S. Jia, and J. W. Fleischer, “Dispersive superfluid-like shock waves in nonlinear optics,” Nat. Phys. 3, 46–51 (2007).
[Crossref]

C. Barsi, W. Wan, C. Sun, and J. W. Fleischer, “Dispersive shock waves with nonlocal nonlinearity,” Opt. Lett. 32, 2930–2932 (2007).
[Crossref] [PubMed]

Folli, V.

N. Ghofraniha, L. Santamaria Amato, V. Folli, S. Trillo, E. DelRe, and C. Conti, “Measurement of scaling laws for shock waves in thermal nonlocal media,” Opt. Lett. 37, 2325–2327 (2012).
[Crossref] [PubMed]

N. Ghofraniha, L. Santamaria Amato, V. Folli, C. Conti, and E. DelRe, “Formation and propagation of shock waves in nonlocal media,” Poster number JM5A.44 presented at Nonlinear Photonics Conference, Colorado Springs, CO, USA, 17–21 June 2012.

Fratalocchi, A.

C. Conti, A. Fratalocchi, M. Peccianti, G. Ruocco, and S. Trillo, “Observation of a gradient catastrophe generating solitons,” Phys. Rev. Lett. 102, 083902 (2009).
[Crossref] [PubMed]

Freedman, B.

L. Levi, M. Rechtsman, B. Freedman, T. Schwartz, and M. Segev, “Disorder-enhanced transport in photonics quasicrystals,” Science 332, 1541–1544 (2011).
[Crossref] [PubMed]

Freilikher, V.

I. V. Shadrivov, K. Y. Bliokh, V. Freilikher, and Y. S. Kivshar, “Bistability of Anderson localized states in nonlinear random media,” Phys. Rev. Lett. 104, 123902 (2010).
[Crossref] [PubMed]

Ghofraniha, N.

N. Ghofraniha, L. Santamaria Amato, V. Folli, S. Trillo, E. DelRe, and C. Conti, “Measurement of scaling laws for shock waves in thermal nonlocal media,” Opt. Lett. 37, 2325–2327 (2012).
[Crossref] [PubMed]

N. Ghofraniha, C. Conti, G. Ruocco, and S. Trillo, “Shocks in nonlocal media,” Phys. Rev. Lett. 99, 043903 (2007).
[Crossref] [PubMed]

N. Ghofraniha, L. Santamaria Amato, V. Folli, C. Conti, and E. DelRe, “Formation and propagation of shock waves in nonlocal media,” Poster number JM5A.44 presented at Nonlinear Photonics Conference, Colorado Springs, CO, USA, 17–21 June 2012.

Gredeskul, S. A.

S. A. Gredeskul and Y. S. Kivshar, “Propagation and scattering of nonlinear waves in disordered systems,” Phys. Rep. 216, 1–61 (1992).
[Crossref]

Y. S. Kivshar, S. A. Gredeskul, A. Sanchez, and L. Vazquez, “Localization decay induced by strong nonlinearity in disordered systems,” Phys. Rev. Lett. 64, 1693–1696 (1990).
[Crossref] [PubMed]

Gurevich, A.

A. Gurevich and L. P. Pitaevskii, “Stationary structure of a collisionless shock wave,” Sov.Phys. JETP 38, 291–297 (1973).

Heinrich, M.

Jia, S.

W. Wan, S. Jia, and J. W. Fleischer, “Dispersive superfluid-like shock waves in nonlinear optics,” Nat. Phys. 3, 46–51 (2007).
[Crossref]

Kamchatnov, A. M.

A. M. Kamchatnov, R. A. Kraenkel, and B. A. Umarov, “Asymptotic soliton train solution of the defocusing nonlinear Schrödinger equation,” Phys. Rev. E 66, 036609 (2002).
[Crossref]

Kartashov, Y. V.

Keil, R.

Kivshar, Y. S.

I. V. Shadrivov, K. Y. Bliokh, V. Freilikher, and Y. S. Kivshar, “Bistability of Anderson localized states in nonlinear random media,” Phys. Rev. Lett. 104, 123902 (2010).
[Crossref] [PubMed]

S. A. Gredeskul and Y. S. Kivshar, “Propagation and scattering of nonlinear waves in disordered systems,” Phys. Rep. 216, 1–61 (1992).
[Crossref]

Y. S. Kivshar, S. A. Gredeskul, A. Sanchez, and L. Vazquez, “Localization decay induced by strong nonlinearity in disordered systems,” Phys. Rev. Lett. 64, 1693–1696 (1990).
[Crossref] [PubMed]

Kraenkel, R. A.

A. M. Kamchatnov, R. A. Kraenkel, and B. A. Umarov, “Asymptotic soliton train solution of the defocusing nonlinear Schrödinger equation,” Phys. Rev. E 66, 036609 (2002).
[Crossref]

Lahini, Y.

Y. Lahini, A. Avidan, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, “Anderson localization and nonlinearity in onedimensional disorded photonic lattices,” Phys. Rev. Lett. 100, 013906 (2008).
[Crossref] [PubMed]

Leuzzi, L.

C. Conti and L. Leuzzi, “Complexity of waves in nonlinear disordered media,” Phys. Rev. B 83, 134204 (2011).
[Crossref]

Levi, L.

L. Levi, M. Rechtsman, B. Freedman, T. Schwartz, and M. Segev, “Disorder-enhanced transport in photonics quasicrystals,” Science 332, 1541–1544 (2011).
[Crossref] [PubMed]

Martin, L.

McLaughlin, D.

J. C. Bronski and D. McLaughlin, Singular Limits of Dispersive Waves (Plenum, New York, 1994).

Morandotti, R.

Y. Lahini, A. Avidan, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, “Anderson localization and nonlinearity in onedimensional disorded photonic lattices,” Phys. Rev. Lett. 100, 013906 (2008).
[Crossref] [PubMed]

Nahata, A.

Z. V. Vardeny and A. Nahata, “Photonic quasicrystals: disorder-enhanced light transport,” Nat. Photonics 5, 453–454 (2011).
[Crossref]

Nolte, S.

Peccianti, M.

C. Conti, A. Fratalocchi, M. Peccianti, G. Ruocco, and S. Trillo, “Observation of a gradient catastrophe generating solitons,” Phys. Rev. Lett. 102, 083902 (2009).
[Crossref] [PubMed]

Perez-Leija, A.

Picozzi, A.

C. Sun, J. Schu, C. Barsi, S. Rica, A. Picozzi, and J. W. Fleischer, “Observation of the kinetic condensation of classical waves,” Nat. Phys. 8, 471–475 (2012).
[Crossref]

Pikovsky, A.

A. Pikovsky and S. Fishman, “Scaling properties of weak chao in nonlinear disordered lattcies,” Phys. Rev. E 83, 025201 (2011).
[Crossref]

Pitaevskii, L. P.

A. Gurevich and L. P. Pitaevskii, “Stationary structure of a collisionless shock wave,” Sov.Phys. JETP 38, 291–297 (1973).

Pozzi, F.

Y. Lahini, A. Avidan, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, “Anderson localization and nonlinearity in onedimensional disorded photonic lattices,” Phys. Rev. Lett. 100, 013906 (2008).
[Crossref] [PubMed]

Rechtsman, M.

L. Levi, M. Rechtsman, B. Freedman, T. Schwartz, and M. Segev, “Disorder-enhanced transport in photonics quasicrystals,” Science 332, 1541–1544 (2011).
[Crossref] [PubMed]

Rica, S.

C. Sun, J. Schu, C. Barsi, S. Rica, A. Picozzi, and J. W. Fleischer, “Observation of the kinetic condensation of classical waves,” Nat. Phys. 8, 471–475 (2012).
[Crossref]

Ruocco, G.

C. Conti, A. Fratalocchi, M. Peccianti, G. Ruocco, and S. Trillo, “Observation of a gradient catastrophe generating solitons,” Phys. Rev. Lett. 102, 083902 (2009).
[Crossref] [PubMed]

N. Ghofraniha, C. Conti, G. Ruocco, and S. Trillo, “Shocks in nonlocal media,” Phys. Rev. Lett. 99, 043903 (2007).
[Crossref] [PubMed]

Saleh, B. E. A.

Sanchez, A.

Y. S. Kivshar, S. A. Gredeskul, A. Sanchez, and L. Vazquez, “Localization decay induced by strong nonlinearity in disordered systems,” Phys. Rev. Lett. 64, 1693–1696 (1990).
[Crossref] [PubMed]

Santamaria Amato, L.

N. Ghofraniha, L. Santamaria Amato, V. Folli, S. Trillo, E. DelRe, and C. Conti, “Measurement of scaling laws for shock waves in thermal nonlocal media,” Opt. Lett. 37, 2325–2327 (2012).
[Crossref] [PubMed]

N. Ghofraniha, L. Santamaria Amato, V. Folli, C. Conti, and E. DelRe, “Formation and propagation of shock waves in nonlocal media,” Poster number JM5A.44 presented at Nonlinear Photonics Conference, Colorado Springs, CO, USA, 17–21 June 2012.

Schu, J.

C. Sun, J. Schu, C. Barsi, S. Rica, A. Picozzi, and J. W. Fleischer, “Observation of the kinetic condensation of classical waves,” Nat. Phys. 8, 471–475 (2012).
[Crossref]

Schwartz, T.

L. Levi, M. Rechtsman, B. Freedman, T. Schwartz, and M. Segev, “Disorder-enhanced transport in photonics quasicrystals,” Science 332, 1541–1544 (2011).
[Crossref] [PubMed]

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, “Transport and Anderson localization in disordered two-dimensional photonic lattices,” Nature 446, 52–55 (2007).
[Crossref] [PubMed]

Segev, M.

L. Levi, M. Rechtsman, B. Freedman, T. Schwartz, and M. Segev, “Disorder-enhanced transport in photonics quasicrystals,” Science 332, 1541–1544 (2011).
[Crossref] [PubMed]

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, “Transport and Anderson localization in disordered two-dimensional photonic lattices,” Nature 446, 52–55 (2007).
[Crossref] [PubMed]

Shadrivov, I. V.

I. V. Shadrivov, K. Y. Bliokh, V. Freilikher, and Y. S. Kivshar, “Bistability of Anderson localized states in nonlinear random media,” Phys. Rev. Lett. 104, 123902 (2010).
[Crossref] [PubMed]

Silberberg, Y.

Y. Lahini, A. Avidan, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, “Anderson localization and nonlinearity in onedimensional disorded photonic lattices,” Phys. Rev. Lett. 100, 013906 (2008).
[Crossref] [PubMed]

Sorel, M.

Y. Lahini, A. Avidan, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, “Anderson localization and nonlinearity in onedimensional disorded photonic lattices,” Phys. Rev. Lett. 100, 013906 (2008).
[Crossref] [PubMed]

Sun, C.

C. Sun, J. Schu, C. Barsi, S. Rica, A. Picozzi, and J. W. Fleischer, “Observation of the kinetic condensation of classical waves,” Nat. Phys. 8, 471–475 (2012).
[Crossref]

C. Barsi, W. Wan, C. Sun, and J. W. Fleischer, “Dispersive shock waves with nonlocal nonlinearity,” Opt. Lett. 32, 2930–2932 (2007).
[Crossref] [PubMed]

Szameit, A.

Torner, L.

Trillo, S.

N. Ghofraniha, L. Santamaria Amato, V. Folli, S. Trillo, E. DelRe, and C. Conti, “Measurement of scaling laws for shock waves in thermal nonlocal media,” Opt. Lett. 37, 2325–2327 (2012).
[Crossref] [PubMed]

C. Conti, A. Fratalocchi, M. Peccianti, G. Ruocco, and S. Trillo, “Observation of a gradient catastrophe generating solitons,” Phys. Rev. Lett. 102, 083902 (2009).
[Crossref] [PubMed]

N. Ghofraniha, C. Conti, G. Ruocco, and S. Trillo, “Shocks in nonlocal media,” Phys. Rev. Lett. 99, 043903 (2007).
[Crossref] [PubMed]

Umarov, B. A.

A. M. Kamchatnov, R. A. Kraenkel, and B. A. Umarov, “Asymptotic soliton train solution of the defocusing nonlinear Schrödinger equation,” Phys. Rev. E 66, 036609 (2002).
[Crossref]

Vardeny, Z. V.

Z. V. Vardeny and A. Nahata, “Photonic quasicrystals: disorder-enhanced light transport,” Nat. Photonics 5, 453–454 (2011).
[Crossref]

Vazquez, L.

Y. S. Kivshar, S. A. Gredeskul, A. Sanchez, and L. Vazquez, “Localization decay induced by strong nonlinearity in disordered systems,” Phys. Rev. Lett. 64, 1693–1696 (1990).
[Crossref] [PubMed]

Vysloukh, V. A.

Wan, W.

C. Barsi, W. Wan, C. Sun, and J. W. Fleischer, “Dispersive shock waves with nonlocal nonlinearity,” Opt. Lett. 32, 2930–2932 (2007).
[Crossref] [PubMed]

W. Wan, S. Jia, and J. W. Fleischer, “Dispersive superfluid-like shock waves in nonlinear optics,” Nat. Phys. 3, 46–51 (2007).
[Crossref]

Nat. Photonics (1)

Z. V. Vardeny and A. Nahata, “Photonic quasicrystals: disorder-enhanced light transport,” Nat. Photonics 5, 453–454 (2011).
[Crossref]

Nat. Phys. (2)

C. Sun, J. Schu, C. Barsi, S. Rica, A. Picozzi, and J. W. Fleischer, “Observation of the kinetic condensation of classical waves,” Nat. Phys. 8, 471–475 (2012).
[Crossref]

W. Wan, S. Jia, and J. W. Fleischer, “Dispersive superfluid-like shock waves in nonlinear optics,” Nat. Phys. 3, 46–51 (2007).
[Crossref]

Nature (1)

T. Schwartz, G. Bartal, S. Fishman, and M. Segev, “Transport and Anderson localization in disordered two-dimensional photonic lattices,” Nature 446, 52–55 (2007).
[Crossref] [PubMed]

Opt. Express (2)

Opt. Lett. (2)

Phys. Rep. (1)

S. A. Gredeskul and Y. S. Kivshar, “Propagation and scattering of nonlinear waves in disordered systems,” Phys. Rep. 216, 1–61 (1992).
[Crossref]

Phys. Rev. B (1)

C. Conti and L. Leuzzi, “Complexity of waves in nonlinear disordered media,” Phys. Rev. B 83, 134204 (2011).
[Crossref]

Phys. Rev. E (2)

A. M. Kamchatnov, R. A. Kraenkel, and B. A. Umarov, “Asymptotic soliton train solution of the defocusing nonlinear Schrödinger equation,” Phys. Rev. E 66, 036609 (2002).
[Crossref]

A. Pikovsky and S. Fishman, “Scaling properties of weak chao in nonlinear disordered lattcies,” Phys. Rev. E 83, 025201 (2011).
[Crossref]

Phys. Rev. Lett. (5)

C. Conti, A. Fratalocchi, M. Peccianti, G. Ruocco, and S. Trillo, “Observation of a gradient catastrophe generating solitons,” Phys. Rev. Lett. 102, 083902 (2009).
[Crossref] [PubMed]

N. Ghofraniha, C. Conti, G. Ruocco, and S. Trillo, “Shocks in nonlocal media,” Phys. Rev. Lett. 99, 043903 (2007).
[Crossref] [PubMed]

Y. S. Kivshar, S. A. Gredeskul, A. Sanchez, and L. Vazquez, “Localization decay induced by strong nonlinearity in disordered systems,” Phys. Rev. Lett. 64, 1693–1696 (1990).
[Crossref] [PubMed]

I. V. Shadrivov, K. Y. Bliokh, V. Freilikher, and Y. S. Kivshar, “Bistability of Anderson localized states in nonlinear random media,” Phys. Rev. Lett. 104, 123902 (2010).
[Crossref] [PubMed]

Y. Lahini, A. Avidan, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, “Anderson localization and nonlinearity in onedimensional disorded photonic lattices,” Phys. Rev. Lett. 100, 013906 (2008).
[Crossref] [PubMed]

Science (1)

L. Levi, M. Rechtsman, B. Freedman, T. Schwartz, and M. Segev, “Disorder-enhanced transport in photonics quasicrystals,” Science 332, 1541–1544 (2011).
[Crossref] [PubMed]

Sov.Phys. JETP (1)

A. Gurevich and L. P. Pitaevskii, “Stationary structure of a collisionless shock wave,” Sov.Phys. JETP 38, 291–297 (1973).

Other (2)

J. C. Bronski and D. McLaughlin, Singular Limits of Dispersive Waves (Plenum, New York, 1994).

N. Ghofraniha, L. Santamaria Amato, V. Folli, C. Conti, and E. DelRe, “Formation and propagation of shock waves in nonlocal media,” Poster number JM5A.44 presented at Nonlinear Photonics Conference, Colorado Springs, CO, USA, 17–21 June 2012.

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Figures (6)

Fig. 1
Fig. 1 Beam propagation as observed from top fluorescence emission for three different input powers in the ordered case, cSiO2 = 0 (cRhB = 0.1mM), (a–c) and disordered case, cSiO2 = 0.03w/w (cRhB = 0.1mM), (d–f). Note that the propagation regime reported in panel (a) is linear since the laser power is too low to activate the nonlinear effect.

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Fig. 2
Fig. 2 Far field intesity of the transmitted beam for different input powers P and different concentrations cRhB (ordered case). Superimposed curves give the ky = 0 section profile. Similarly to Fig. 1(a), here the top panels (a–c) show a linear regime since the laser power is too low to activate the nonlinear effect.

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Fig. 3
Fig. 3 (a) Measured aperture angle vs laser power P in the ordered case for different cRhB concentrations; (b) P vs cRhB: the filled circles are the experimental threshold power as retrieved from panel (a) (dot-dashed lines is a guide for the eye).

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Fig. 4
Fig. 4 Spectra of transmitted beam at fixed input power P=42 mW and different cRhB and cSiO2.

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Fig. 5
Fig. 5 The same of Fig. 4 at input power P=130 mW

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Fig. 6
Fig. 6 Measured aperture angle θ vs laser power P for different SiO2 dispersions in two RhB solutions: (a) cRhB = 0.05mM and (b) cRhB = 0.1mM; (c) threshold power P vs disorder concentrations cSiO2 at fixed cRhB = 0.1mM: dots are the experimental data, dot dashed lines is a guide for the eye, dashed line is the boundary between shock and no shock regimes.

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