Abstract

Focus Serial: Frontiers of Nonlinear Optics

We review theoretical and experimental results on spatial solitons in nematic liquid crystalline cells, including two-dimensional solitons in bulk and discrete solitons in one-dimensional waveguide arrays. In bulk we describe the propagation of continuous solitons in the presence of adjustable walk-off, their interaction with light-induced defects and refraction-reflection at a voltage-tunable interface. In optical lattices we address the transition from discrete diffraction to localization, as well as all-optical beam steering.

© 2007 Optical Society of America

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  3. Y. S. Kivshar and G. P. Agrawal, Optical Solitons (Academic Press, San Diego, 2003).
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  5. M. Peccianti, G. Assanto, A. De Luca, C. Umeton, and I. C. Khoo, "Electrically assisted self-confinement and waveguiding in Planar Nematic Liquid Crystal cells," Appl. Phys. Lett. 77, 7-9 (2000).
    [CrossRef]
  6. C. Conti, M. Peccianti, and G. Assanto, "Route to nonlocality and observation of accessible solitons," Phys. Rev. Lett. 91, 073901 (2003).
    [CrossRef]
  7. C. Conti, M. Peccianti, and G. Assanto, "Observation of optical spatial solitons in a highly nonlocal medium," Phys. Rev. Lett. 92, 113902 (2004).
    [CrossRef]
  8. M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, "Routing of highly anisotropic spatial solitons and modulational instability in liquid crystals," Nature (London) 432, 733-737 (2004).
    [CrossRef]
  9. A. Fratalocchi, G. Assanto, K. A. Brzdąkiewicz, and M. A. Karpierz, "Discrete propagation and spatial solitons in nematic liquid crystals," Opt. Lett. 29, 1530-1532 (2004).
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  13. G. Assanto, M. Peccianti, and C. Conti, "Nematicons: optical spatial solitons in nematic liquid crystals," Opt. Photonics News 14, 44-48 (2003).
  14. K. Kos, H. Meng, G. Salamo, M.-F. Shih, M. Segev, and G. C. Valley, "One-dimensional steady-state photorefractive screening solitons," Phys. Rev. E 53, R4330-R4333 (1996).
    [CrossRef]
  15. W. Królikowski, C. Denz, A. Stepkenz, M. Saffmanx, and B. Luther-Davies, "Interaction of spatial photorefractive solitons," Quantum Semiclassic Opt. 10, 823-837 (1998).
    [CrossRef]
  16. C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, "Solitons in Nonlinear Media with an Infinite Range of Nonlocality," Phys. Rev. Lett. 95, 213904 (2005).
    [CrossRef]
  17. A. Alberucci, M. Peccianti, G. Assanto, G. Coschignano, A. De Luca, and C. Umeton, "Self-healing generation of spatial solitons in liquid crystals," Opt. Lett. 30, 1381-1383 (2005).
  18. A. Pasquazi, A. Alberucci, M. Peccianti, and G. Assanto, "Signal processing by opto-optical interactions between self-localized and free propagating beams in liquid crystals," Appl. Phys. Lett. 87, 261104 (2005).
    [CrossRef]
  19. S. V. Serak, N. V. Tabiryan, M. Peccianti, and G. Assanto, "Spatial Soliton All-Optical Logic Gates," Photon. Technol. Lett. 18, 1287-1289 (2006).
    [CrossRef]
  20. M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, "Tunable refraction and reflection of self-confined light beams," Nat. Phys. (London) 2, 737-742 (2006).
  21. D. N. Christodoulides and R. I. Joseph, "Discrete self-focusing in nonlinear arrays of coupled waveguides," Opt. Lett. 13, 794-796 (1988).
  22. A. B. Aceves, C. de Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, "Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays," Phys. Rev. E 53, 1172-1189 (1996).
    [CrossRef]
  23. D. N. Christodoulides and E. D. Eugenieva, "Blocking and routing discrete solitons in two-dimensional networks of Nonlinear Waveguide Arrays," Phys. Rev. Lett. 87, 233901 (2001).
    [CrossRef]
  24. A. A. Sukhorukov, Y. S. Kivshar, H. S. Eisenberg, and Y. Silberberg, "Spatial optical solitons in waveguide arrays," J. Quantum Electron. 39, 31-50 (2003).
    [CrossRef]
  25. D. Christodoulides, F. Lederer, and Y. Silberberg, "Discretizing light behaviour in linear and nonlinear waveguide lattices," Nature 424, 817-823 (2003).
    [CrossRef]
  26. R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Experimental observation of linear and nonlinear optical Bloch oscillations," Phys. Rev. Lett. 83, 4756-4759 (1999).
    [CrossRef]
  27. R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Dynamics of discrete solitons in optical waveguide arrays," Phys. Rev. Lett.,  83, 2726 (1998).
  28. S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, "Observation of dynamic localization in periodically curved waveguide arrays," Phys. Rev. Lett. 96, 243901 (2006).
    [CrossRef]
  29. T. Pertsch, T. Zentgraf, U. Peschel, A. Brauer, and F. Lederer, "Anomalous refraction and diffraction in discrete optical systems," Phys. Rev. Lett. 88, 093901 (2002).
    [CrossRef]
  30. T. Pertsch, U. Peschel, and F. Lederer, "All-optical switching in quadratically nonlinear waveguide arrays," Opt. Lett. 28, 102-104 (2003).
  31. N. K. Efremidis, J. Hudock, D. N. Christodoulides, J. W. Fleischer, O. Cohen, and M. Segev, "Two-dimensional optical lattice solitons," Phys. Rev. Lett. 91, 213906 (2003).
    [CrossRef]
  32. R. Iwanow, R. Schiek, G. I. Stegeman, T. Pertsch, F. Lederer, Y. Min, and W. Sohler, "Observation of discrete quadratic solitons," Phys. Rev. Lett. 93, 113902 (2004).
    [CrossRef]
  33. A. Fratalocchi, G. Assanto, K. A. Brzdakiewicz, and M. A. Karpierz, "Discrete light propagation and self-trapping in liquid crystals," Opt. Express 13, 1808-1813 (2005).
    [CrossRef]
  34. A. Fratalocchi and G. Assanto, "Discrete light localization in one dimensional nonlinear lattices with arbitrary non locality," Phys. Rev. E 72, 066608 (2005).
    [CrossRef]
  35. A. Fratalocchi, G. Assanto, K. A. Brzdakiewicz, and M. A. Karpierz, "All-optical switching and beam steering in tunable waveguide arrays," Appl. Phys. Lett. 86, 51112 (2005).
    [CrossRef]

2006 (3)

S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, "Observation of dynamic localization in periodically curved waveguide arrays," Phys. Rev. Lett. 96, 243901 (2006).
[CrossRef]

S. V. Serak, N. V. Tabiryan, M. Peccianti, and G. Assanto, "Spatial Soliton All-Optical Logic Gates," Photon. Technol. Lett. 18, 1287-1289 (2006).
[CrossRef]

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, "Tunable refraction and reflection of self-confined light beams," Nat. Phys. (London) 2, 737-742 (2006).

2005 (6)

A. Pasquazi, A. Alberucci, M. Peccianti, and G. Assanto, "Signal processing by opto-optical interactions between self-localized and free propagating beams in liquid crystals," Appl. Phys. Lett. 87, 261104 (2005).
[CrossRef]

A. Fratalocchi and G. Assanto, "Discrete light localization in one dimensional nonlinear lattices with arbitrary non locality," Phys. Rev. E 72, 066608 (2005).
[CrossRef]

A. Fratalocchi, G. Assanto, K. A. Brzdakiewicz, and M. A. Karpierz, "All-optical switching and beam steering in tunable waveguide arrays," Appl. Phys. Lett. 86, 51112 (2005).
[CrossRef]

A. Fratalocchi, G. Assanto, K. A. Brzdakiewicz, and M. A. Karpierz, "Discrete light propagation and self-trapping in liquid crystals," Opt. Express 13, 1808-1813 (2005).
[CrossRef]

A. Alberucci, M. Peccianti, G. Assanto, G. Coschignano, A. De Luca, and C. Umeton, "Self-healing generation of spatial solitons in liquid crystals," Opt. Lett. 30, 1381-1383 (2005).

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, "Solitons in Nonlinear Media with an Infinite Range of Nonlocality," Phys. Rev. Lett. 95, 213904 (2005).
[CrossRef]

2004 (4)

C. Conti, M. Peccianti, and G. Assanto, "Observation of optical spatial solitons in a highly nonlocal medium," Phys. Rev. Lett. 92, 113902 (2004).
[CrossRef]

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, "Routing of highly anisotropic spatial solitons and modulational instability in liquid crystals," Nature (London) 432, 733-737 (2004).
[CrossRef]

A. Fratalocchi, G. Assanto, K. A. Brzdąkiewicz, and M. A. Karpierz, "Discrete propagation and spatial solitons in nematic liquid crystals," Opt. Lett. 29, 1530-1532 (2004).
[CrossRef]

R. Iwanow, R. Schiek, G. I. Stegeman, T. Pertsch, F. Lederer, Y. Min, and W. Sohler, "Observation of discrete quadratic solitons," Phys. Rev. Lett. 93, 113902 (2004).
[CrossRef]

2003 (6)

T. Pertsch, U. Peschel, and F. Lederer, "All-optical switching in quadratically nonlinear waveguide arrays," Opt. Lett. 28, 102-104 (2003).

N. K. Efremidis, J. Hudock, D. N. Christodoulides, J. W. Fleischer, O. Cohen, and M. Segev, "Two-dimensional optical lattice solitons," Phys. Rev. Lett. 91, 213906 (2003).
[CrossRef]

G. Assanto, M. Peccianti, and C. Conti, "Nematicons: optical spatial solitons in nematic liquid crystals," Opt. Photonics News 14, 44-48 (2003).

C. Conti, M. Peccianti, and G. Assanto, "Route to nonlocality and observation of accessible solitons," Phys. Rev. Lett. 91, 073901 (2003).
[CrossRef]

A. A. Sukhorukov, Y. S. Kivshar, H. S. Eisenberg, and Y. Silberberg, "Spatial optical solitons in waveguide arrays," J. Quantum Electron. 39, 31-50 (2003).
[CrossRef]

D. Christodoulides, F. Lederer, and Y. Silberberg, "Discretizing light behaviour in linear and nonlinear waveguide lattices," Nature 424, 817-823 (2003).
[CrossRef]

2002 (1)

T. Pertsch, T. Zentgraf, U. Peschel, A. Brauer, and F. Lederer, "Anomalous refraction and diffraction in discrete optical systems," Phys. Rev. Lett. 88, 093901 (2002).
[CrossRef]

2001 (1)

D. N. Christodoulides and E. D. Eugenieva, "Blocking and routing discrete solitons in two-dimensional networks of Nonlinear Waveguide Arrays," Phys. Rev. Lett. 87, 233901 (2001).
[CrossRef]

2000 (2)

G. I. Stegeman, D. N. Christodoulides, and M. Segev, "Optical spatial solitons: historical perspectives," J. Sel. Top. Quantum Electron. 6, 1419-1426 (2000).

M. Peccianti, G. Assanto, A. De Luca, C. Umeton, and I. C. Khoo, "Electrically assisted self-confinement and waveguiding in Planar Nematic Liquid Crystal cells," Appl. Phys. Lett. 77, 7-9 (2000).
[CrossRef]

1999 (1)

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Experimental observation of linear and nonlinear optical Bloch oscillations," Phys. Rev. Lett. 83, 4756-4759 (1999).
[CrossRef]

1998 (2)

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Dynamics of discrete solitons in optical waveguide arrays," Phys. Rev. Lett.,  83, 2726 (1998).

W. Królikowski, C. Denz, A. Stepkenz, M. Saffmanx, and B. Luther-Davies, "Interaction of spatial photorefractive solitons," Quantum Semiclassic Opt. 10, 823-837 (1998).
[CrossRef]

1996 (2)

K. Kos, H. Meng, G. Salamo, M.-F. Shih, M. Segev, and G. C. Valley, "One-dimensional steady-state photorefractive screening solitons," Phys. Rev. E 53, R4330-R4333 (1996).
[CrossRef]

A. B. Aceves, C. de Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, "Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays," Phys. Rev. E 53, 1172-1189 (1996).
[CrossRef]

1988 (1)

Aceves, A. B.

A. B. Aceves, C. de Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, "Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays," Phys. Rev. E 53, 1172-1189 (1996).
[CrossRef]

Aitchison, J. S.

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Experimental observation of linear and nonlinear optical Bloch oscillations," Phys. Rev. Lett. 83, 4756-4759 (1999).
[CrossRef]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Dynamics of discrete solitons in optical waveguide arrays," Phys. Rev. Lett.,  83, 2726 (1998).

Alberucci, A.

A. Alberucci, M. Peccianti, G. Assanto, G. Coschignano, A. De Luca, and C. Umeton, "Self-healing generation of spatial solitons in liquid crystals," Opt. Lett. 30, 1381-1383 (2005).

A. Pasquazi, A. Alberucci, M. Peccianti, and G. Assanto, "Signal processing by opto-optical interactions between self-localized and free propagating beams in liquid crystals," Appl. Phys. Lett. 87, 261104 (2005).
[CrossRef]

Assanto, G.

S. V. Serak, N. V. Tabiryan, M. Peccianti, and G. Assanto, "Spatial Soliton All-Optical Logic Gates," Photon. Technol. Lett. 18, 1287-1289 (2006).
[CrossRef]

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, "Tunable refraction and reflection of self-confined light beams," Nat. Phys. (London) 2, 737-742 (2006).

A. Fratalocchi and G. Assanto, "Discrete light localization in one dimensional nonlinear lattices with arbitrary non locality," Phys. Rev. E 72, 066608 (2005).
[CrossRef]

A. Fratalocchi, G. Assanto, K. A. Brzdakiewicz, and M. A. Karpierz, "Discrete light propagation and self-trapping in liquid crystals," Opt. Express 13, 1808-1813 (2005).
[CrossRef]

A. Fratalocchi, G. Assanto, K. A. Brzdakiewicz, and M. A. Karpierz, "All-optical switching and beam steering in tunable waveguide arrays," Appl. Phys. Lett. 86, 51112 (2005).
[CrossRef]

A. Alberucci, M. Peccianti, G. Assanto, G. Coschignano, A. De Luca, and C. Umeton, "Self-healing generation of spatial solitons in liquid crystals," Opt. Lett. 30, 1381-1383 (2005).

A. Pasquazi, A. Alberucci, M. Peccianti, and G. Assanto, "Signal processing by opto-optical interactions between self-localized and free propagating beams in liquid crystals," Appl. Phys. Lett. 87, 261104 (2005).
[CrossRef]

C. Conti, M. Peccianti, and G. Assanto, "Observation of optical spatial solitons in a highly nonlocal medium," Phys. Rev. Lett. 92, 113902 (2004).
[CrossRef]

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, "Routing of highly anisotropic spatial solitons and modulational instability in liquid crystals," Nature (London) 432, 733-737 (2004).
[CrossRef]

A. Fratalocchi, G. Assanto, K. A. Brzdąkiewicz, and M. A. Karpierz, "Discrete propagation and spatial solitons in nematic liquid crystals," Opt. Lett. 29, 1530-1532 (2004).
[CrossRef]

C. Conti, M. Peccianti, and G. Assanto, "Route to nonlocality and observation of accessible solitons," Phys. Rev. Lett. 91, 073901 (2003).
[CrossRef]

G. Assanto, M. Peccianti, and C. Conti, "Nematicons: optical spatial solitons in nematic liquid crystals," Opt. Photonics News 14, 44-48 (2003).

M. Peccianti, G. Assanto, A. De Luca, C. Umeton, and I. C. Khoo, "Electrically assisted self-confinement and waveguiding in Planar Nematic Liquid Crystal cells," Appl. Phys. Lett. 77, 7-9 (2000).
[CrossRef]

Brauer, A.

T. Pertsch, T. Zentgraf, U. Peschel, A. Brauer, and F. Lederer, "Anomalous refraction and diffraction in discrete optical systems," Phys. Rev. Lett. 88, 093901 (2002).
[CrossRef]

Brzdakiewicz, K. A.

Carmon, T.

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, "Solitons in Nonlinear Media with an Infinite Range of Nonlocality," Phys. Rev. Lett. 95, 213904 (2005).
[CrossRef]

Christodoulides, D.

D. Christodoulides, F. Lederer, and Y. Silberberg, "Discretizing light behaviour in linear and nonlinear waveguide lattices," Nature 424, 817-823 (2003).
[CrossRef]

Christodoulides, D. N.

N. K. Efremidis, J. Hudock, D. N. Christodoulides, J. W. Fleischer, O. Cohen, and M. Segev, "Two-dimensional optical lattice solitons," Phys. Rev. Lett. 91, 213906 (2003).
[CrossRef]

D. N. Christodoulides and E. D. Eugenieva, "Blocking and routing discrete solitons in two-dimensional networks of Nonlinear Waveguide Arrays," Phys. Rev. Lett. 87, 233901 (2001).
[CrossRef]

G. I. Stegeman, D. N. Christodoulides, and M. Segev, "Optical spatial solitons: historical perspectives," J. Sel. Top. Quantum Electron. 6, 1419-1426 (2000).

D. N. Christodoulides and R. I. Joseph, "Discrete self-focusing in nonlinear arrays of coupled waveguides," Opt. Lett. 13, 794-796 (1988).

Cianci, E.

S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, "Observation of dynamic localization in periodically curved waveguide arrays," Phys. Rev. Lett. 96, 243901 (2006).
[CrossRef]

Cohen, O.

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, "Solitons in Nonlinear Media with an Infinite Range of Nonlocality," Phys. Rev. Lett. 95, 213904 (2005).
[CrossRef]

N. K. Efremidis, J. Hudock, D. N. Christodoulides, J. W. Fleischer, O. Cohen, and M. Segev, "Two-dimensional optical lattice solitons," Phys. Rev. Lett. 91, 213906 (2003).
[CrossRef]

Conti, C.

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, "Routing of highly anisotropic spatial solitons and modulational instability in liquid crystals," Nature (London) 432, 733-737 (2004).
[CrossRef]

C. Conti, M. Peccianti, and G. Assanto, "Observation of optical spatial solitons in a highly nonlocal medium," Phys. Rev. Lett. 92, 113902 (2004).
[CrossRef]

G. Assanto, M. Peccianti, and C. Conti, "Nematicons: optical spatial solitons in nematic liquid crystals," Opt. Photonics News 14, 44-48 (2003).

C. Conti, M. Peccianti, and G. Assanto, "Route to nonlocality and observation of accessible solitons," Phys. Rev. Lett. 91, 073901 (2003).
[CrossRef]

Coschignano, G.

de Angelis, C.

A. B. Aceves, C. de Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, "Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays," Phys. Rev. E 53, 1172-1189 (1996).
[CrossRef]

De Luca, A.

A. Alberucci, M. Peccianti, G. Assanto, G. Coschignano, A. De Luca, and C. Umeton, "Self-healing generation of spatial solitons in liquid crystals," Opt. Lett. 30, 1381-1383 (2005).

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, "Routing of highly anisotropic spatial solitons and modulational instability in liquid crystals," Nature (London) 432, 733-737 (2004).
[CrossRef]

M. Peccianti, G. Assanto, A. De Luca, C. Umeton, and I. C. Khoo, "Electrically assisted self-confinement and waveguiding in Planar Nematic Liquid Crystal cells," Appl. Phys. Lett. 77, 7-9 (2000).
[CrossRef]

Denz, C.

W. Królikowski, C. Denz, A. Stepkenz, M. Saffmanx, and B. Luther-Davies, "Interaction of spatial photorefractive solitons," Quantum Semiclassic Opt. 10, 823-837 (1998).
[CrossRef]

Dyadyusha, A.

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, "Tunable refraction and reflection of self-confined light beams," Nat. Phys. (London) 2, 737-742 (2006).

Efremidis, N. K.

N. K. Efremidis, J. Hudock, D. N. Christodoulides, J. W. Fleischer, O. Cohen, and M. Segev, "Two-dimensional optical lattice solitons," Phys. Rev. Lett. 91, 213906 (2003).
[CrossRef]

Eisenberg, H. S.

A. A. Sukhorukov, Y. S. Kivshar, H. S. Eisenberg, and Y. Silberberg, "Spatial optical solitons in waveguide arrays," J. Quantum Electron. 39, 31-50 (2003).
[CrossRef]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Experimental observation of linear and nonlinear optical Bloch oscillations," Phys. Rev. Lett. 83, 4756-4759 (1999).
[CrossRef]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Dynamics of discrete solitons in optical waveguide arrays," Phys. Rev. Lett.,  83, 2726 (1998).

Eugenieva, E. D.

D. N. Christodoulides and E. D. Eugenieva, "Blocking and routing discrete solitons in two-dimensional networks of Nonlinear Waveguide Arrays," Phys. Rev. Lett. 87, 233901 (2001).
[CrossRef]

Fleischer, J. W.

N. K. Efremidis, J. Hudock, D. N. Christodoulides, J. W. Fleischer, O. Cohen, and M. Segev, "Two-dimensional optical lattice solitons," Phys. Rev. Lett. 91, 213906 (2003).
[CrossRef]

Foglietti, V.

S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, "Observation of dynamic localization in periodically curved waveguide arrays," Phys. Rev. Lett. 96, 243901 (2006).
[CrossRef]

Fratalocchi, A.

A. Fratalocchi, G. Assanto, K. A. Brzdakiewicz, and M. A. Karpierz, "Discrete light propagation and self-trapping in liquid crystals," Opt. Express 13, 1808-1813 (2005).
[CrossRef]

A. Fratalocchi, G. Assanto, K. A. Brzdakiewicz, and M. A. Karpierz, "All-optical switching and beam steering in tunable waveguide arrays," Appl. Phys. Lett. 86, 51112 (2005).
[CrossRef]

A. Fratalocchi and G. Assanto, "Discrete light localization in one dimensional nonlinear lattices with arbitrary non locality," Phys. Rev. E 72, 066608 (2005).
[CrossRef]

A. Fratalocchi, G. Assanto, K. A. Brzdąkiewicz, and M. A. Karpierz, "Discrete propagation and spatial solitons in nematic liquid crystals," Opt. Lett. 29, 1530-1532 (2004).
[CrossRef]

Hudock, J.

N. K. Efremidis, J. Hudock, D. N. Christodoulides, J. W. Fleischer, O. Cohen, and M. Segev, "Two-dimensional optical lattice solitons," Phys. Rev. Lett. 91, 213906 (2003).
[CrossRef]

Iwanow, R.

R. Iwanow, R. Schiek, G. I. Stegeman, T. Pertsch, F. Lederer, Y. Min, and W. Sohler, "Observation of discrete quadratic solitons," Phys. Rev. Lett. 93, 113902 (2004).
[CrossRef]

Joseph, R. I.

Kaczmarek, M.

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, "Tunable refraction and reflection of self-confined light beams," Nat. Phys. (London) 2, 737-742 (2006).

Karpierz, M. A.

Khoo, I. C.

M. Peccianti, G. Assanto, A. De Luca, C. Umeton, and I. C. Khoo, "Electrically assisted self-confinement and waveguiding in Planar Nematic Liquid Crystal cells," Appl. Phys. Lett. 77, 7-9 (2000).
[CrossRef]

Kivshar, Y. S.

A. A. Sukhorukov, Y. S. Kivshar, H. S. Eisenberg, and Y. Silberberg, "Spatial optical solitons in waveguide arrays," J. Quantum Electron. 39, 31-50 (2003).
[CrossRef]

Kos, K.

K. Kos, H. Meng, G. Salamo, M.-F. Shih, M. Segev, and G. C. Valley, "One-dimensional steady-state photorefractive screening solitons," Phys. Rev. E 53, R4330-R4333 (1996).
[CrossRef]

Królikowski, W.

W. Królikowski, C. Denz, A. Stepkenz, M. Saffmanx, and B. Luther-Davies, "Interaction of spatial photorefractive solitons," Quantum Semiclassic Opt. 10, 823-837 (1998).
[CrossRef]

Laporta, P.

S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, "Observation of dynamic localization in periodically curved waveguide arrays," Phys. Rev. Lett. 96, 243901 (2006).
[CrossRef]

Lederer, F.

R. Iwanow, R. Schiek, G. I. Stegeman, T. Pertsch, F. Lederer, Y. Min, and W. Sohler, "Observation of discrete quadratic solitons," Phys. Rev. Lett. 93, 113902 (2004).
[CrossRef]

D. Christodoulides, F. Lederer, and Y. Silberberg, "Discretizing light behaviour in linear and nonlinear waveguide lattices," Nature 424, 817-823 (2003).
[CrossRef]

T. Pertsch, U. Peschel, and F. Lederer, "All-optical switching in quadratically nonlinear waveguide arrays," Opt. Lett. 28, 102-104 (2003).

T. Pertsch, T. Zentgraf, U. Peschel, A. Brauer, and F. Lederer, "Anomalous refraction and diffraction in discrete optical systems," Phys. Rev. Lett. 88, 093901 (2002).
[CrossRef]

A. B. Aceves, C. de Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, "Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays," Phys. Rev. E 53, 1172-1189 (1996).
[CrossRef]

Lobino, M.

S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, "Observation of dynamic localization in periodically curved waveguide arrays," Phys. Rev. Lett. 96, 243901 (2006).
[CrossRef]

Longhi, S.

S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, "Observation of dynamic localization in periodically curved waveguide arrays," Phys. Rev. Lett. 96, 243901 (2006).
[CrossRef]

Luther-Davies, B.

W. Królikowski, C. Denz, A. Stepkenz, M. Saffmanx, and B. Luther-Davies, "Interaction of spatial photorefractive solitons," Quantum Semiclassic Opt. 10, 823-837 (1998).
[CrossRef]

Manela, O.

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, "Solitons in Nonlinear Media with an Infinite Range of Nonlocality," Phys. Rev. Lett. 95, 213904 (2005).
[CrossRef]

Marangoni, M.

S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, "Observation of dynamic localization in periodically curved waveguide arrays," Phys. Rev. Lett. 96, 243901 (2006).
[CrossRef]

Meng, H.

K. Kos, H. Meng, G. Salamo, M.-F. Shih, M. Segev, and G. C. Valley, "One-dimensional steady-state photorefractive screening solitons," Phys. Rev. E 53, R4330-R4333 (1996).
[CrossRef]

Min, Y.

R. Iwanow, R. Schiek, G. I. Stegeman, T. Pertsch, F. Lederer, Y. Min, and W. Sohler, "Observation of discrete quadratic solitons," Phys. Rev. Lett. 93, 113902 (2004).
[CrossRef]

Morandotti, R.

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Experimental observation of linear and nonlinear optical Bloch oscillations," Phys. Rev. Lett. 83, 4756-4759 (1999).
[CrossRef]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Dynamics of discrete solitons in optical waveguide arrays," Phys. Rev. Lett.,  83, 2726 (1998).

Muschall, R.

A. B. Aceves, C. de Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, "Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays," Phys. Rev. E 53, 1172-1189 (1996).
[CrossRef]

Pasquazi, A.

A. Pasquazi, A. Alberucci, M. Peccianti, and G. Assanto, "Signal processing by opto-optical interactions between self-localized and free propagating beams in liquid crystals," Appl. Phys. Lett. 87, 261104 (2005).
[CrossRef]

Peccianti, M.

S. V. Serak, N. V. Tabiryan, M. Peccianti, and G. Assanto, "Spatial Soliton All-Optical Logic Gates," Photon. Technol. Lett. 18, 1287-1289 (2006).
[CrossRef]

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, "Tunable refraction and reflection of self-confined light beams," Nat. Phys. (London) 2, 737-742 (2006).

A. Alberucci, M. Peccianti, G. Assanto, G. Coschignano, A. De Luca, and C. Umeton, "Self-healing generation of spatial solitons in liquid crystals," Opt. Lett. 30, 1381-1383 (2005).

A. Pasquazi, A. Alberucci, M. Peccianti, and G. Assanto, "Signal processing by opto-optical interactions between self-localized and free propagating beams in liquid crystals," Appl. Phys. Lett. 87, 261104 (2005).
[CrossRef]

C. Conti, M. Peccianti, and G. Assanto, "Observation of optical spatial solitons in a highly nonlocal medium," Phys. Rev. Lett. 92, 113902 (2004).
[CrossRef]

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, "Routing of highly anisotropic spatial solitons and modulational instability in liquid crystals," Nature (London) 432, 733-737 (2004).
[CrossRef]

C. Conti, M. Peccianti, and G. Assanto, "Route to nonlocality and observation of accessible solitons," Phys. Rev. Lett. 91, 073901 (2003).
[CrossRef]

G. Assanto, M. Peccianti, and C. Conti, "Nematicons: optical spatial solitons in nematic liquid crystals," Opt. Photonics News 14, 44-48 (2003).

M. Peccianti, G. Assanto, A. De Luca, C. Umeton, and I. C. Khoo, "Electrically assisted self-confinement and waveguiding in Planar Nematic Liquid Crystal cells," Appl. Phys. Lett. 77, 7-9 (2000).
[CrossRef]

Pertsch, T.

R. Iwanow, R. Schiek, G. I. Stegeman, T. Pertsch, F. Lederer, Y. Min, and W. Sohler, "Observation of discrete quadratic solitons," Phys. Rev. Lett. 93, 113902 (2004).
[CrossRef]

T. Pertsch, U. Peschel, and F. Lederer, "All-optical switching in quadratically nonlinear waveguide arrays," Opt. Lett. 28, 102-104 (2003).

T. Pertsch, T. Zentgraf, U. Peschel, A. Brauer, and F. Lederer, "Anomalous refraction and diffraction in discrete optical systems," Phys. Rev. Lett. 88, 093901 (2002).
[CrossRef]

Peschel, T.

A. B. Aceves, C. de Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, "Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays," Phys. Rev. E 53, 1172-1189 (1996).
[CrossRef]

Peschel, U.

T. Pertsch, U. Peschel, and F. Lederer, "All-optical switching in quadratically nonlinear waveguide arrays," Opt. Lett. 28, 102-104 (2003).

T. Pertsch, T. Zentgraf, U. Peschel, A. Brauer, and F. Lederer, "Anomalous refraction and diffraction in discrete optical systems," Phys. Rev. Lett. 88, 093901 (2002).
[CrossRef]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Experimental observation of linear and nonlinear optical Bloch oscillations," Phys. Rev. Lett. 83, 4756-4759 (1999).
[CrossRef]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Dynamics of discrete solitons in optical waveguide arrays," Phys. Rev. Lett.,  83, 2726 (1998).

Ramponi, R.

S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, "Observation of dynamic localization in periodically curved waveguide arrays," Phys. Rev. Lett. 96, 243901 (2006).
[CrossRef]

Rotschild, C.

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, "Solitons in Nonlinear Media with an Infinite Range of Nonlocality," Phys. Rev. Lett. 95, 213904 (2005).
[CrossRef]

Saffmanx, M.

W. Królikowski, C. Denz, A. Stepkenz, M. Saffmanx, and B. Luther-Davies, "Interaction of spatial photorefractive solitons," Quantum Semiclassic Opt. 10, 823-837 (1998).
[CrossRef]

Salamo, G.

K. Kos, H. Meng, G. Salamo, M.-F. Shih, M. Segev, and G. C. Valley, "One-dimensional steady-state photorefractive screening solitons," Phys. Rev. E 53, R4330-R4333 (1996).
[CrossRef]

Schiek, R.

R. Iwanow, R. Schiek, G. I. Stegeman, T. Pertsch, F. Lederer, Y. Min, and W. Sohler, "Observation of discrete quadratic solitons," Phys. Rev. Lett. 93, 113902 (2004).
[CrossRef]

Segev, M.

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, "Solitons in Nonlinear Media with an Infinite Range of Nonlocality," Phys. Rev. Lett. 95, 213904 (2005).
[CrossRef]

N. K. Efremidis, J. Hudock, D. N. Christodoulides, J. W. Fleischer, O. Cohen, and M. Segev, "Two-dimensional optical lattice solitons," Phys. Rev. Lett. 91, 213906 (2003).
[CrossRef]

G. I. Stegeman, D. N. Christodoulides, and M. Segev, "Optical spatial solitons: historical perspectives," J. Sel. Top. Quantum Electron. 6, 1419-1426 (2000).

K. Kos, H. Meng, G. Salamo, M.-F. Shih, M. Segev, and G. C. Valley, "One-dimensional steady-state photorefractive screening solitons," Phys. Rev. E 53, R4330-R4333 (1996).
[CrossRef]

Serak, S. V.

S. V. Serak, N. V. Tabiryan, M. Peccianti, and G. Assanto, "Spatial Soliton All-Optical Logic Gates," Photon. Technol. Lett. 18, 1287-1289 (2006).
[CrossRef]

Shih, M.-F.

K. Kos, H. Meng, G. Salamo, M.-F. Shih, M. Segev, and G. C. Valley, "One-dimensional steady-state photorefractive screening solitons," Phys. Rev. E 53, R4330-R4333 (1996).
[CrossRef]

Silberberg, Y.

A. A. Sukhorukov, Y. S. Kivshar, H. S. Eisenberg, and Y. Silberberg, "Spatial optical solitons in waveguide arrays," J. Quantum Electron. 39, 31-50 (2003).
[CrossRef]

D. Christodoulides, F. Lederer, and Y. Silberberg, "Discretizing light behaviour in linear and nonlinear waveguide lattices," Nature 424, 817-823 (2003).
[CrossRef]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Experimental observation of linear and nonlinear optical Bloch oscillations," Phys. Rev. Lett. 83, 4756-4759 (1999).
[CrossRef]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Dynamics of discrete solitons in optical waveguide arrays," Phys. Rev. Lett.,  83, 2726 (1998).

Sohler, W.

R. Iwanow, R. Schiek, G. I. Stegeman, T. Pertsch, F. Lederer, Y. Min, and W. Sohler, "Observation of discrete quadratic solitons," Phys. Rev. Lett. 93, 113902 (2004).
[CrossRef]

Stegeman, G. I.

R. Iwanow, R. Schiek, G. I. Stegeman, T. Pertsch, F. Lederer, Y. Min, and W. Sohler, "Observation of discrete quadratic solitons," Phys. Rev. Lett. 93, 113902 (2004).
[CrossRef]

G. I. Stegeman, D. N. Christodoulides, and M. Segev, "Optical spatial solitons: historical perspectives," J. Sel. Top. Quantum Electron. 6, 1419-1426 (2000).

Stepkenz, A.

W. Królikowski, C. Denz, A. Stepkenz, M. Saffmanx, and B. Luther-Davies, "Interaction of spatial photorefractive solitons," Quantum Semiclassic Opt. 10, 823-837 (1998).
[CrossRef]

Sukhorukov, A. A.

A. A. Sukhorukov, Y. S. Kivshar, H. S. Eisenberg, and Y. Silberberg, "Spatial optical solitons in waveguide arrays," J. Quantum Electron. 39, 31-50 (2003).
[CrossRef]

Tabiryan, N. V.

S. V. Serak, N. V. Tabiryan, M. Peccianti, and G. Assanto, "Spatial Soliton All-Optical Logic Gates," Photon. Technol. Lett. 18, 1287-1289 (2006).
[CrossRef]

Trillo, S.

A. B. Aceves, C. de Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, "Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays," Phys. Rev. E 53, 1172-1189 (1996).
[CrossRef]

Umeton, C.

A. Alberucci, M. Peccianti, G. Assanto, G. Coschignano, A. De Luca, and C. Umeton, "Self-healing generation of spatial solitons in liquid crystals," Opt. Lett. 30, 1381-1383 (2005).

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, "Routing of highly anisotropic spatial solitons and modulational instability in liquid crystals," Nature (London) 432, 733-737 (2004).
[CrossRef]

M. Peccianti, G. Assanto, A. De Luca, C. Umeton, and I. C. Khoo, "Electrically assisted self-confinement and waveguiding in Planar Nematic Liquid Crystal cells," Appl. Phys. Lett. 77, 7-9 (2000).
[CrossRef]

Valley, G. C.

K. Kos, H. Meng, G. Salamo, M.-F. Shih, M. Segev, and G. C. Valley, "One-dimensional steady-state photorefractive screening solitons," Phys. Rev. E 53, R4330-R4333 (1996).
[CrossRef]

Wabnitz, S.

A. B. Aceves, C. de Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, "Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays," Phys. Rev. E 53, 1172-1189 (1996).
[CrossRef]

Zentgraf, T.

T. Pertsch, T. Zentgraf, U. Peschel, A. Brauer, and F. Lederer, "Anomalous refraction and diffraction in discrete optical systems," Phys. Rev. Lett. 88, 093901 (2002).
[CrossRef]

Appl. Phys. Lett. (3)

M. Peccianti, G. Assanto, A. De Luca, C. Umeton, and I. C. Khoo, "Electrically assisted self-confinement and waveguiding in Planar Nematic Liquid Crystal cells," Appl. Phys. Lett. 77, 7-9 (2000).
[CrossRef]

A. Pasquazi, A. Alberucci, M. Peccianti, and G. Assanto, "Signal processing by opto-optical interactions between self-localized and free propagating beams in liquid crystals," Appl. Phys. Lett. 87, 261104 (2005).
[CrossRef]

A. Fratalocchi, G. Assanto, K. A. Brzdakiewicz, and M. A. Karpierz, "All-optical switching and beam steering in tunable waveguide arrays," Appl. Phys. Lett. 86, 51112 (2005).
[CrossRef]

J. Quantum Electron. (1)

A. A. Sukhorukov, Y. S. Kivshar, H. S. Eisenberg, and Y. Silberberg, "Spatial optical solitons in waveguide arrays," J. Quantum Electron. 39, 31-50 (2003).
[CrossRef]

J. Sel. Top. Quantum Electron. (1)

G. I. Stegeman, D. N. Christodoulides, and M. Segev, "Optical spatial solitons: historical perspectives," J. Sel. Top. Quantum Electron. 6, 1419-1426 (2000).

Nat. Phys. (London) (1)

M. Peccianti, A. Dyadyusha, M. Kaczmarek, and G. Assanto, "Tunable refraction and reflection of self-confined light beams," Nat. Phys. (London) 2, 737-742 (2006).

Nature (1)

D. Christodoulides, F. Lederer, and Y. Silberberg, "Discretizing light behaviour in linear and nonlinear waveguide lattices," Nature 424, 817-823 (2003).
[CrossRef]

Nature (London) (1)

M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, "Routing of highly anisotropic spatial solitons and modulational instability in liquid crystals," Nature (London) 432, 733-737 (2004).
[CrossRef]

Opt. Express (1)

Opt. Lett. (4)

Opt. Photonics News (1)

G. Assanto, M. Peccianti, and C. Conti, "Nematicons: optical spatial solitons in nematic liquid crystals," Opt. Photonics News 14, 44-48 (2003).

Photon. Technol. Lett. (1)

S. V. Serak, N. V. Tabiryan, M. Peccianti, and G. Assanto, "Spatial Soliton All-Optical Logic Gates," Photon. Technol. Lett. 18, 1287-1289 (2006).
[CrossRef]

Phys. Rev. E (3)

A. B. Aceves, C. de Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, "Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays," Phys. Rev. E 53, 1172-1189 (1996).
[CrossRef]

A. Fratalocchi and G. Assanto, "Discrete light localization in one dimensional nonlinear lattices with arbitrary non locality," Phys. Rev. E 72, 066608 (2005).
[CrossRef]

K. Kos, H. Meng, G. Salamo, M.-F. Shih, M. Segev, and G. C. Valley, "One-dimensional steady-state photorefractive screening solitons," Phys. Rev. E 53, R4330-R4333 (1996).
[CrossRef]

Phys. Rev. Lett. (10)

C. Conti, M. Peccianti, and G. Assanto, "Route to nonlocality and observation of accessible solitons," Phys. Rev. Lett. 91, 073901 (2003).
[CrossRef]

C. Conti, M. Peccianti, and G. Assanto, "Observation of optical spatial solitons in a highly nonlocal medium," Phys. Rev. Lett. 92, 113902 (2004).
[CrossRef]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Experimental observation of linear and nonlinear optical Bloch oscillations," Phys. Rev. Lett. 83, 4756-4759 (1999).
[CrossRef]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Dynamics of discrete solitons in optical waveguide arrays," Phys. Rev. Lett.,  83, 2726 (1998).

S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, "Observation of dynamic localization in periodically curved waveguide arrays," Phys. Rev. Lett. 96, 243901 (2006).
[CrossRef]

T. Pertsch, T. Zentgraf, U. Peschel, A. Brauer, and F. Lederer, "Anomalous refraction and diffraction in discrete optical systems," Phys. Rev. Lett. 88, 093901 (2002).
[CrossRef]

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, "Solitons in Nonlinear Media with an Infinite Range of Nonlocality," Phys. Rev. Lett. 95, 213904 (2005).
[CrossRef]

N. K. Efremidis, J. Hudock, D. N. Christodoulides, J. W. Fleischer, O. Cohen, and M. Segev, "Two-dimensional optical lattice solitons," Phys. Rev. Lett. 91, 213906 (2003).
[CrossRef]

R. Iwanow, R. Schiek, G. I. Stegeman, T. Pertsch, F. Lederer, Y. Min, and W. Sohler, "Observation of discrete quadratic solitons," Phys. Rev. Lett. 93, 113902 (2004).
[CrossRef]

D. N. Christodoulides and E. D. Eugenieva, "Blocking and routing discrete solitons in two-dimensional networks of Nonlinear Waveguide Arrays," Phys. Rev. Lett. 87, 233901 (2001).
[CrossRef]

Quantum Semiclassic Opt. (1)

W. Królikowski, C. Denz, A. Stepkenz, M. Saffmanx, and B. Luther-Davies, "Interaction of spatial photorefractive solitons," Quantum Semiclassic Opt. 10, 823-837 (1998).
[CrossRef]

Other (6)

P. G. de Gennes and J. Prost, Physics of Liquid Crystals, 2nd ed. (Oxford U. Press, London, 1993).

I. C. Khoo, Liquid Crystals: Physical Properties and Nonlinear Optical Phenomena (Wiley, New York, 1995).

M. Born and E. Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light (Cambridge University Press, Cambridge, 1999).

S. Trillo and W. E. Torruellas, Spatial Solitons (Springer-Verlag, Berlin 2001).

Y. S. Kivshar and G. P. Agrawal, Optical Solitons (Academic Press, San Diego, 2003).

C. Conti and G. Assanto, "Nonlinear Optics Applications: Bright Spatial Solitons," Encyclopedia of Modern Optics, R. D. Guenther, D. G. Steel and L. Bayvel, eds., Vol. 5, 43-55, (Elsevier, Oxford, 2004).

Supplementary Material (3)

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