Abstract

We investigate experimentally the propagation of fundamental Gaussian beams and vortices in a two-dimensional photonic lattice optically induced with partially coherent light. We focus on soliton–lattice interactions and vortex–lattice interactions when the lattice is operated in a nonlinear regime. In this case a host of novel phenomena is demonstrated, including soliton-induced lattice dislocation–deformation, soliton hopping and slow-down, and creation of structures akin to optical polarons. In addition, we observe that the nonlinear interaction between a vortex beam and a solitonic lattice leads to lattice twisting due to a transfer of the angular momentum carried by the vortex beam to the lattice. Results demonstrating a clear transition from discrete diffraction to the formation of two-dimensional, discrete fundamental and vortex solitons in a linear lattice are also included.

© 2005 Optical Society of America

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  1. D. N. Christodoulides, F. Lederer, and Y. Siberberg, "Discretizing light behaviour in linear and nonlinear waveguide lattices," Nature (London) 424, 817-822 (2003).
    [CrossRef]
  2. D. Campbell, S. Flach, and Y. S. Kivshar, "Localizing energy through nonlinearity and discreteness," Phys. Today 57, 43-49 (2004).
    [CrossRef]
  3. D. N. Christodoulides and R. I. Joseph, "Discrete self-focusing in nonlinear arrays of coupled waveguides," Opt. Lett. 13, 794-796 (1988).
    [CrossRef] [PubMed]
  4. H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, "Observation of discrete solitons in optical waveguide arrays," Phys. Rev. Lett. 81, 3383-3386 (1998).
    [CrossRef]
  5. 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, 2726-2729 (1999).
    [CrossRef]
  6. A. J. Sievers and S. Takeno, "Intrinsic localized modes in anharmonic crystals," Phys. Rev. Lett. 61, 970-973 (1988).
    [CrossRef] [PubMed]
  7. A. Trombettoni and A. Smerzi, "Discrete solitons and breathers with dilute Bose-Einstein Condensates," Phys. Rev. Lett. 86, 2353-2356 (2001).
    [CrossRef] [PubMed]
  8. 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] [PubMed]
  9. N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, "Discrete solitons in photorefractive optically induced photonic lattices," Phys. Rev. E 66, 046602 (2002).
    [CrossRef]
  10. J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of discrete solitons in optically induced real time waveguide arrays," Phys. Rev. Lett. 90, 023902 (2003).
    [CrossRef] [PubMed]
  11. J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices," Nature (London) 422, 147-150 (2003).
    [CrossRef]
  12. D. Neshev, E. Ostrovskaya, Y. Kivshar, and W. Krolikowski, "Spatial solitons in optically induced gratings," Opt. Lett. 28, 710-712 (2003).
    [CrossRef] [PubMed]
  13. H. Martin, E. D. Eugenieva, Z. Chen, and D. N. Christodoulides, "Discrete solitons and soliton-induced dislocations in partially-coherent photonic lattices," Phys. Rev. Lett. 92, 123902 (2004).
    [CrossRef]
  14. J. Klinger, H. Martin, and Z. Chen, "Experiments on induced modulational instability of an incoherent optical beam," Opt. Lett. 26, 271-273 (2001).
    [CrossRef]
  15. Z. Chen and K. McCarthy , "Spatial soliton pixels from partially coherent light," Opt. Lett. 27, 2019-2021 (2002).
    [CrossRef]
  16. J. Petter, J. Schrder, D. Trger, and C. Denz, "Optical control of arrays of photorefractive screening solitons," Opt. Lett. 28, 438-440 (2003).
    [CrossRef] [PubMed]
  17. M. Petrovic, D. Traqer, A. Strinic, M. Belic, J. Schoder, and C. Denz, "Solitonic lattices in photorefractive crystals," Phys. Rev. E 68, 055601(R) (2003).
    [CrossRef]
  18. D. N. Neshev, Y. S. Kivshar, H. Martin, and Z. Chen, "Soliton stripes in two-dimensional nonlinear photonic lattices," Opt. Lett. 29, 486-488 (2004).
    [CrossRef] [PubMed]
  19. A. S. Desyatnikov, E. A. Ostrovskaya, Y. S. Kivshar, and C. Denz, "Composite band-gap solitons in nonlinear optically induced lattices," Phys. Rev. Lett. 91, 153902 (2003).
    [CrossRef] [PubMed]
  20. D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, "Observation of discrete vortex solitons in optically-induced photonic lattices," Phys. Rev. Lett. 92, 123903 (2004).
    [CrossRef]
  21. J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, "Observation of vortex-ring discrete solitons in 2D photonic lattices," Phys. Rev. Lett. 92, 123904 (2004).
    [CrossRef]
  22. Z. Chen, H. Martin, E. D. Eugenieva, J. Xu, and A. Bezryadina, "Anisotropic enhancement of discrete diffraction and formation of two-dimensional discrete-soliton trains," Phys. Rev. Lett. 92, 143902 (2004).
    [CrossRef] [PubMed]
  23. Z. Chen, I. Makasyuk, A. Bezryadina, and J. Yang, "Observation of two-dimensional lattice vector solitons," Opt. Lett. 29, 1656-1658 (2004).
    [CrossRef] [PubMed]
  24. J. Yang, I. Makasyuk, A. Bezryadina, and Z. Chen, "Dipole solitons in optically-induced two-dimensional photonic lattices," Opt. Lett. 29, 1662-1664 (2004).
    [CrossRef] [PubMed]
  25. H. Buljan, O. Cohen, J. W. Fleischer, T. Schwartz, M. Segev, Z. H. Musslimani, N. K. Efremidis, and D. N. Christodoulides, "Random-phase solitons in nonlinear periodic lattices," Phys. Rev. Lett. 92, 223901 (2004).
    [CrossRef] [PubMed]
  26. J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotii, H. Yang, G. Salamo, M. Sorel, and J. S. Aitchison, "Experimental observation of discrete modulational instability," Phys. Rev. Lett. 92, 163902 (2004).
    [CrossRef] [PubMed]
  27. D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, "Gap solitons in waveguide arrays," Phys. Rev. Lett. 92, 093904 (2004).
    [CrossRef] [PubMed]
  28. D. Neshev, A. A. Sukhorukov, B. Hanna, W. Krolikowski, and Y. S. Kivshar, "Controlled generation and steering of spatial gap solitons," Phys. Rev. Lett. 93, 083905 (2004).
    [CrossRef] [PubMed]
  29. O. Cohen, B. Freedman, J. W. Fleischer, M. Segev, and D. N. Christodoulides, "Grating-mediated waveguiding," Phys. Rev. Lett. 93, 103902 (2004).
    [CrossRef] [PubMed]
  30. J. Meier, G. I. Stegeman, Y. Silberberg, R. Morandotii, and J. S. Aitchison, "Nonlinear optical beam interactions in waveguide arrays," Phys. Rev. Lett. 93, 093903 (2004).
    [CrossRef] [PubMed]
  31. M. Mitchell, Z. Chen, M.-F. Shih, and M. Segev, "Self-trapping of partially spatially incoherent light," Phys. Rev. Lett. 77, 490 (1996).
    [CrossRef] [PubMed]
  32. Z. Chen, M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, "Self-trapping of dark incoherent light beams", Science 280, 889-892 (1998).
    [CrossRef] [PubMed]
  33. M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, "Steady-state spatial screening solitons in photorefractive materials with external applied field," Phys. Rev. Lett. 73, 3211-3214 (1994).
    [CrossRef] [PubMed]
  34. M. Soljacic, M. Segev, T. Coskun, D. N. Christodoulides, and A. Vishwanath, "Modulation instability of incoherent beams in noninstantaneous nonlinear media," Phys. Rev. Lett. 84, 467-470 (2000).
    [CrossRef] [PubMed]
  35. T. H. Coskun, D. N. Christodoulides, Y.-R. Kim, Z. Chen, M. Soljacic, and M. Segev, "Bright spatial solitons on a partially incoherent background," Phys. Rev. Lett. 84, 2374-2377 (2000).
    [CrossRef] [PubMed]
  36. D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, "Modulation instability and pattern formation in spatially incoherent light beams," Science 290, 495-499 (2000).
    [CrossRef] [PubMed]
  37. S. R. Singh and D. N. Christodoulides, "Evolution of spatial optical solitons in biased photorefractive media under steady state conditions," Opt. Commun. 118, 569-576 (1995).
    [CrossRef]
  38. C. Kittel, Introduction to Solid-State Physics (Wiley, 1996).
  39. W. Krolikowski, M. Saffman, B. Luther-Davies, and C. Denz, "Anomalous interaction of spatial solitons in photorefractive media," Phys. Rev. Lett. 80, 3240-3243 (1998).
    [CrossRef]
  40. B. A. Malomed and P. G. Kevrekidis, "Discrete vortex solitons," Phys. Rev. E 64, 026601 (2001).
    [CrossRef]
  41. J. Yang and Z. H. Musslimani, "Fundamental and vortex solitons in a two-dimensional optical lattice," Opt. Lett. 28, 2094-2096 (2003).
    [CrossRef] [PubMed]
  42. P. G. Kevrekidis, B. A. Malomed, Z. Chen, and D. J. Frantzeskakis, "Stable higher-order vortices and quasi-vortices in the discrete nonlinear Schrödinger equation," Phys. Rev. E 70, 056612 (2004).
    [CrossRef]
  43. J. Yang, I. Makasyuk, P. G. Kevrekidis, H. Martin, B. A. Malomed, D. J. Frantzeskakis, and Z. Chen, "Necklace-like solitons in optically induced photonic lattices," Phys. Rev. Lett. 94, 113902 (2005).
    [CrossRef]
  44. H. He, M. E. J. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, "Direct observation of transfer of angular momentum to absorptive particles from a laser beam with a phase singularity," Phys. Rev. Lett. 75, 826-829 (1995).
    [CrossRef] [PubMed]
  45. M. E. J. Friese, J. Enger, H. Rubinsztein-Dunlop, and N. R. Heckenberg, "Optical angular-momentum transfer to trapped absorbing particles," Phys. Rev. A 54, 1593-1596 (1996).
    [CrossRef] [PubMed]

2005 (1)

J. Yang, I. Makasyuk, P. G. Kevrekidis, H. Martin, B. A. Malomed, D. J. Frantzeskakis, and Z. Chen, "Necklace-like solitons in optically induced photonic lattices," Phys. Rev. Lett. 94, 113902 (2005).
[CrossRef]

2004 (15)

P. G. Kevrekidis, B. A. Malomed, Z. Chen, and D. J. Frantzeskakis, "Stable higher-order vortices and quasi-vortices in the discrete nonlinear Schrödinger equation," Phys. Rev. E 70, 056612 (2004).
[CrossRef]

D. Campbell, S. Flach, and Y. S. Kivshar, "Localizing energy through nonlinearity and discreteness," Phys. Today 57, 43-49 (2004).
[CrossRef]

H. Martin, E. D. Eugenieva, Z. Chen, and D. N. Christodoulides, "Discrete solitons and soliton-induced dislocations in partially-coherent photonic lattices," Phys. Rev. Lett. 92, 123902 (2004).
[CrossRef]

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, "Observation of discrete vortex solitons in optically-induced photonic lattices," Phys. Rev. Lett. 92, 123903 (2004).
[CrossRef]

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, "Observation of vortex-ring discrete solitons in 2D photonic lattices," Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef]

Z. Chen, H. Martin, E. D. Eugenieva, J. Xu, and A. Bezryadina, "Anisotropic enhancement of discrete diffraction and formation of two-dimensional discrete-soliton trains," Phys. Rev. Lett. 92, 143902 (2004).
[CrossRef] [PubMed]

Z. Chen, I. Makasyuk, A. Bezryadina, and J. Yang, "Observation of two-dimensional lattice vector solitons," Opt. Lett. 29, 1656-1658 (2004).
[CrossRef] [PubMed]

J. Yang, I. Makasyuk, A. Bezryadina, and Z. Chen, "Dipole solitons in optically-induced two-dimensional photonic lattices," Opt. Lett. 29, 1662-1664 (2004).
[CrossRef] [PubMed]

H. Buljan, O. Cohen, J. W. Fleischer, T. Schwartz, M. Segev, Z. H. Musslimani, N. K. Efremidis, and D. N. Christodoulides, "Random-phase solitons in nonlinear periodic lattices," Phys. Rev. Lett. 92, 223901 (2004).
[CrossRef] [PubMed]

J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotii, H. Yang, G. Salamo, M. Sorel, and J. S. Aitchison, "Experimental observation of discrete modulational instability," Phys. Rev. Lett. 92, 163902 (2004).
[CrossRef] [PubMed]

D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, "Gap solitons in waveguide arrays," Phys. Rev. Lett. 92, 093904 (2004).
[CrossRef] [PubMed]

D. Neshev, A. A. Sukhorukov, B. Hanna, W. Krolikowski, and Y. S. Kivshar, "Controlled generation and steering of spatial gap solitons," Phys. Rev. Lett. 93, 083905 (2004).
[CrossRef] [PubMed]

O. Cohen, B. Freedman, J. W. Fleischer, M. Segev, and D. N. Christodoulides, "Grating-mediated waveguiding," Phys. Rev. Lett. 93, 103902 (2004).
[CrossRef] [PubMed]

J. Meier, G. I. Stegeman, Y. Silberberg, R. Morandotii, and J. S. Aitchison, "Nonlinear optical beam interactions in waveguide arrays," Phys. Rev. Lett. 93, 093903 (2004).
[CrossRef] [PubMed]

D. N. Neshev, Y. S. Kivshar, H. Martin, and Z. Chen, "Soliton stripes in two-dimensional nonlinear photonic lattices," Opt. Lett. 29, 486-488 (2004).
[CrossRef] [PubMed]

2003 (8)

A. S. Desyatnikov, E. A. Ostrovskaya, Y. S. Kivshar, and C. Denz, "Composite band-gap solitons in nonlinear optically induced lattices," Phys. Rev. Lett. 91, 153902 (2003).
[CrossRef] [PubMed]

J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of discrete solitons in optically induced real time waveguide arrays," Phys. Rev. Lett. 90, 023902 (2003).
[CrossRef] [PubMed]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices," Nature (London) 422, 147-150 (2003).
[CrossRef]

D. Neshev, E. Ostrovskaya, Y. Kivshar, and W. Krolikowski, "Spatial solitons in optically induced gratings," Opt. Lett. 28, 710-712 (2003).
[CrossRef] [PubMed]

J. Petter, J. Schrder, D. Trger, and C. Denz, "Optical control of arrays of photorefractive screening solitons," Opt. Lett. 28, 438-440 (2003).
[CrossRef] [PubMed]

M. Petrovic, D. Traqer, A. Strinic, M. Belic, J. Schoder, and C. Denz, "Solitonic lattices in photorefractive crystals," Phys. Rev. E 68, 055601(R) (2003).
[CrossRef]

D. N. Christodoulides, F. Lederer, and Y. Siberberg, "Discretizing light behaviour in linear and nonlinear waveguide lattices," Nature (London) 424, 817-822 (2003).
[CrossRef]

J. Yang and Z. H. Musslimani, "Fundamental and vortex solitons in a two-dimensional optical lattice," Opt. Lett. 28, 2094-2096 (2003).
[CrossRef] [PubMed]

2002 (2)

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, "Discrete solitons in photorefractive optically induced photonic lattices," Phys. Rev. E 66, 046602 (2002).
[CrossRef]

Z. Chen and K. McCarthy , "Spatial soliton pixels from partially coherent light," Opt. Lett. 27, 2019-2021 (2002).
[CrossRef]

2001 (4)

J. Klinger, H. Martin, and Z. Chen, "Experiments on induced modulational instability of an incoherent optical beam," Opt. Lett. 26, 271-273 (2001).
[CrossRef]

A. Trombettoni and A. Smerzi, "Discrete solitons and breathers with dilute Bose-Einstein Condensates," Phys. Rev. Lett. 86, 2353-2356 (2001).
[CrossRef] [PubMed]

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] [PubMed]

B. A. Malomed and P. G. Kevrekidis, "Discrete vortex solitons," Phys. Rev. E 64, 026601 (2001).
[CrossRef]

2000 (3)

M. Soljacic, M. Segev, T. Coskun, D. N. Christodoulides, and A. Vishwanath, "Modulation instability of incoherent beams in noninstantaneous nonlinear media," Phys. Rev. Lett. 84, 467-470 (2000).
[CrossRef] [PubMed]

T. H. Coskun, D. N. Christodoulides, Y.-R. Kim, Z. Chen, M. Soljacic, and M. Segev, "Bright spatial solitons on a partially incoherent background," Phys. Rev. Lett. 84, 2374-2377 (2000).
[CrossRef] [PubMed]

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, "Modulation instability and pattern formation in spatially incoherent light beams," Science 290, 495-499 (2000).
[CrossRef] [PubMed]

1999 (1)

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, 2726-2729 (1999).
[CrossRef]

1998 (3)

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, "Observation of discrete solitons in optical waveguide arrays," Phys. Rev. Lett. 81, 3383-3386 (1998).
[CrossRef]

Z. Chen, M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, "Self-trapping of dark incoherent light beams", Science 280, 889-892 (1998).
[CrossRef] [PubMed]

W. Krolikowski, M. Saffman, B. Luther-Davies, and C. Denz, "Anomalous interaction of spatial solitons in photorefractive media," Phys. Rev. Lett. 80, 3240-3243 (1998).
[CrossRef]

1996 (2)

M. E. J. Friese, J. Enger, H. Rubinsztein-Dunlop, and N. R. Heckenberg, "Optical angular-momentum transfer to trapped absorbing particles," Phys. Rev. A 54, 1593-1596 (1996).
[CrossRef] [PubMed]

M. Mitchell, Z. Chen, M.-F. Shih, and M. Segev, "Self-trapping of partially spatially incoherent light," Phys. Rev. Lett. 77, 490 (1996).
[CrossRef] [PubMed]

1995 (2)

S. R. Singh and D. N. Christodoulides, "Evolution of spatial optical solitons in biased photorefractive media under steady state conditions," Opt. Commun. 118, 569-576 (1995).
[CrossRef]

H. He, M. E. J. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, "Direct observation of transfer of angular momentum to absorptive particles from a laser beam with a phase singularity," Phys. Rev. Lett. 75, 826-829 (1995).
[CrossRef] [PubMed]

1994 (1)

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, "Steady-state spatial screening solitons in photorefractive materials with external applied field," Phys. Rev. Lett. 73, 3211-3214 (1994).
[CrossRef] [PubMed]

1988 (2)

Aitchison, J. S.

J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotii, H. Yang, G. Salamo, M. Sorel, and J. S. Aitchison, "Experimental observation of discrete modulational instability," Phys. Rev. Lett. 92, 163902 (2004).
[CrossRef] [PubMed]

D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, "Gap solitons in waveguide arrays," Phys. Rev. Lett. 92, 093904 (2004).
[CrossRef] [PubMed]

J. Meier, G. I. Stegeman, Y. Silberberg, R. Morandotii, and J. S. Aitchison, "Nonlinear optical beam interactions in waveguide arrays," Phys. Rev. Lett. 93, 093903 (2004).
[CrossRef] [PubMed]

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, 2726-2729 (1999).
[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, "Observation of discrete solitons in optical waveguide arrays," Phys. Rev. Lett. 81, 3383-3386 (1998).
[CrossRef]

Alexander, T. J.

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, "Observation of discrete vortex solitons in optically-induced photonic lattices," Phys. Rev. Lett. 92, 123903 (2004).
[CrossRef]

Bartal, G.

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, "Observation of vortex-ring discrete solitons in 2D photonic lattices," Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef]

Belic, M.

M. Petrovic, D. Traqer, A. Strinic, M. Belic, J. Schoder, and C. Denz, "Solitonic lattices in photorefractive crystals," Phys. Rev. E 68, 055601(R) (2003).
[CrossRef]

Bezryadina, A.

Boyd, A. R.

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, "Observation of discrete solitons in optical waveguide arrays," Phys. Rev. Lett. 81, 3383-3386 (1998).
[CrossRef]

Buljan, H.

H. Buljan, O. Cohen, J. W. Fleischer, T. Schwartz, M. Segev, Z. H. Musslimani, N. K. Efremidis, and D. N. Christodoulides, "Random-phase solitons in nonlinear periodic lattices," Phys. Rev. Lett. 92, 223901 (2004).
[CrossRef] [PubMed]

Campbell, D.

D. Campbell, S. Flach, and Y. S. Kivshar, "Localizing energy through nonlinearity and discreteness," Phys. Today 57, 43-49 (2004).
[CrossRef]

Carmon, T.

J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of discrete solitons in optically induced real time waveguide arrays," Phys. Rev. Lett. 90, 023902 (2003).
[CrossRef] [PubMed]

Chen, Z.

J. Yang, I. Makasyuk, P. G. Kevrekidis, H. Martin, B. A. Malomed, D. J. Frantzeskakis, and Z. Chen, "Necklace-like solitons in optically induced photonic lattices," Phys. Rev. Lett. 94, 113902 (2005).
[CrossRef]

P. G. Kevrekidis, B. A. Malomed, Z. Chen, and D. J. Frantzeskakis, "Stable higher-order vortices and quasi-vortices in the discrete nonlinear Schrödinger equation," Phys. Rev. E 70, 056612 (2004).
[CrossRef]

H. Martin, E. D. Eugenieva, Z. Chen, and D. N. Christodoulides, "Discrete solitons and soliton-induced dislocations in partially-coherent photonic lattices," Phys. Rev. Lett. 92, 123902 (2004).
[CrossRef]

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, "Observation of discrete vortex solitons in optically-induced photonic lattices," Phys. Rev. Lett. 92, 123903 (2004).
[CrossRef]

D. N. Neshev, Y. S. Kivshar, H. Martin, and Z. Chen, "Soliton stripes in two-dimensional nonlinear photonic lattices," Opt. Lett. 29, 486-488 (2004).
[CrossRef] [PubMed]

J. Yang, I. Makasyuk, A. Bezryadina, and Z. Chen, "Dipole solitons in optically-induced two-dimensional photonic lattices," Opt. Lett. 29, 1662-1664 (2004).
[CrossRef] [PubMed]

Z. Chen, I. Makasyuk, A. Bezryadina, and J. Yang, "Observation of two-dimensional lattice vector solitons," Opt. Lett. 29, 1656-1658 (2004).
[CrossRef] [PubMed]

Z. Chen, H. Martin, E. D. Eugenieva, J. Xu, and A. Bezryadina, "Anisotropic enhancement of discrete diffraction and formation of two-dimensional discrete-soliton trains," Phys. Rev. Lett. 92, 143902 (2004).
[CrossRef] [PubMed]

Z. Chen and K. McCarthy , "Spatial soliton pixels from partially coherent light," Opt. Lett. 27, 2019-2021 (2002).
[CrossRef]

J. Klinger, H. Martin, and Z. Chen, "Experiments on induced modulational instability of an incoherent optical beam," Opt. Lett. 26, 271-273 (2001).
[CrossRef]

T. H. Coskun, D. N. Christodoulides, Y.-R. Kim, Z. Chen, M. Soljacic, and M. Segev, "Bright spatial solitons on a partially incoherent background," Phys. Rev. Lett. 84, 2374-2377 (2000).
[CrossRef] [PubMed]

Z. Chen, M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, "Self-trapping of dark incoherent light beams", Science 280, 889-892 (1998).
[CrossRef] [PubMed]

M. Mitchell, Z. Chen, M.-F. Shih, and M. Segev, "Self-trapping of partially spatially incoherent light," Phys. Rev. Lett. 77, 490 (1996).
[CrossRef] [PubMed]

Christodoulides, D. N.

O. Cohen, B. Freedman, J. W. Fleischer, M. Segev, and D. N. Christodoulides, "Grating-mediated waveguiding," Phys. Rev. Lett. 93, 103902 (2004).
[CrossRef] [PubMed]

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, "Observation of vortex-ring discrete solitons in 2D photonic lattices," Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef]

H. Buljan, O. Cohen, J. W. Fleischer, T. Schwartz, M. Segev, Z. H. Musslimani, N. K. Efremidis, and D. N. Christodoulides, "Random-phase solitons in nonlinear periodic lattices," Phys. Rev. Lett. 92, 223901 (2004).
[CrossRef] [PubMed]

J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotii, H. Yang, G. Salamo, M. Sorel, and J. S. Aitchison, "Experimental observation of discrete modulational instability," Phys. Rev. Lett. 92, 163902 (2004).
[CrossRef] [PubMed]

H. Martin, E. D. Eugenieva, Z. Chen, and D. N. Christodoulides, "Discrete solitons and soliton-induced dislocations in partially-coherent photonic lattices," Phys. Rev. Lett. 92, 123902 (2004).
[CrossRef]

J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of discrete solitons in optically induced real time waveguide arrays," Phys. Rev. Lett. 90, 023902 (2003).
[CrossRef] [PubMed]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices," Nature (London) 422, 147-150 (2003).
[CrossRef]

D. N. Christodoulides, F. Lederer, and Y. Siberberg, "Discretizing light behaviour in linear and nonlinear waveguide lattices," Nature (London) 424, 817-822 (2003).
[CrossRef]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, "Discrete solitons in photorefractive optically induced photonic lattices," Phys. Rev. E 66, 046602 (2002).
[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] [PubMed]

M. Soljacic, M. Segev, T. Coskun, D. N. Christodoulides, and A. Vishwanath, "Modulation instability of incoherent beams in noninstantaneous nonlinear media," Phys. Rev. Lett. 84, 467-470 (2000).
[CrossRef] [PubMed]

T. H. Coskun, D. N. Christodoulides, Y.-R. Kim, Z. Chen, M. Soljacic, and M. Segev, "Bright spatial solitons on a partially incoherent background," Phys. Rev. Lett. 84, 2374-2377 (2000).
[CrossRef] [PubMed]

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, "Modulation instability and pattern formation in spatially incoherent light beams," Science 290, 495-499 (2000).
[CrossRef] [PubMed]

Z. Chen, M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, "Self-trapping of dark incoherent light beams", Science 280, 889-892 (1998).
[CrossRef] [PubMed]

S. R. Singh and D. N. Christodoulides, "Evolution of spatial optical solitons in biased photorefractive media under steady state conditions," Opt. Commun. 118, 569-576 (1995).
[CrossRef]

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

Cohen, O.

O. Cohen, B. Freedman, J. W. Fleischer, M. Segev, and D. N. Christodoulides, "Grating-mediated waveguiding," Phys. Rev. Lett. 93, 103902 (2004).
[CrossRef] [PubMed]

H. Buljan, O. Cohen, J. W. Fleischer, T. Schwartz, M. Segev, Z. H. Musslimani, N. K. Efremidis, and D. N. Christodoulides, "Random-phase solitons in nonlinear periodic lattices," Phys. Rev. Lett. 92, 223901 (2004).
[CrossRef] [PubMed]

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, "Observation of vortex-ring discrete solitons in 2D photonic lattices," Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef]

Coskun, T.

M. Soljacic, M. Segev, T. Coskun, D. N. Christodoulides, and A. Vishwanath, "Modulation instability of incoherent beams in noninstantaneous nonlinear media," Phys. Rev. Lett. 84, 467-470 (2000).
[CrossRef] [PubMed]

Coskun, T. H.

T. H. Coskun, D. N. Christodoulides, Y.-R. Kim, Z. Chen, M. Soljacic, and M. Segev, "Bright spatial solitons on a partially incoherent background," Phys. Rev. Lett. 84, 2374-2377 (2000).
[CrossRef] [PubMed]

Z. Chen, M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, "Self-trapping of dark incoherent light beams", Science 280, 889-892 (1998).
[CrossRef] [PubMed]

Crosignani, B.

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, "Steady-state spatial screening solitons in photorefractive materials with external applied field," Phys. Rev. Lett. 73, 3211-3214 (1994).
[CrossRef] [PubMed]

Denz, C.

J. Petter, J. Schrder, D. Trger, and C. Denz, "Optical control of arrays of photorefractive screening solitons," Opt. Lett. 28, 438-440 (2003).
[CrossRef] [PubMed]

M. Petrovic, D. Traqer, A. Strinic, M. Belic, J. Schoder, and C. Denz, "Solitonic lattices in photorefractive crystals," Phys. Rev. E 68, 055601(R) (2003).
[CrossRef]

A. S. Desyatnikov, E. A. Ostrovskaya, Y. S. Kivshar, and C. Denz, "Composite band-gap solitons in nonlinear optically induced lattices," Phys. Rev. Lett. 91, 153902 (2003).
[CrossRef] [PubMed]

W. Krolikowski, M. Saffman, B. Luther-Davies, and C. Denz, "Anomalous interaction of spatial solitons in photorefractive media," Phys. Rev. Lett. 80, 3240-3243 (1998).
[CrossRef]

Desyatnikov, A. S.

A. S. Desyatnikov, E. A. Ostrovskaya, Y. S. Kivshar, and C. Denz, "Composite band-gap solitons in nonlinear optically induced lattices," Phys. Rev. Lett. 91, 153902 (2003).
[CrossRef] [PubMed]

DiPorto, P.

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, "Steady-state spatial screening solitons in photorefractive materials with external applied field," Phys. Rev. Lett. 73, 3211-3214 (1994).
[CrossRef] [PubMed]

Efremidis, N. K.

H. Buljan, O. Cohen, J. W. Fleischer, T. Schwartz, M. Segev, Z. H. Musslimani, N. K. Efremidis, and D. N. Christodoulides, "Random-phase solitons in nonlinear periodic lattices," Phys. Rev. Lett. 92, 223901 (2004).
[CrossRef] [PubMed]

J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of discrete solitons in optically induced real time waveguide arrays," Phys. Rev. Lett. 90, 023902 (2003).
[CrossRef] [PubMed]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices," Nature (London) 422, 147-150 (2003).
[CrossRef]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, "Discrete solitons in photorefractive optically induced photonic lattices," Phys. Rev. E 66, 046602 (2002).
[CrossRef]

Eisenberg, H. S.

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, 2726-2729 (1999).
[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, "Observation of discrete solitons in optical waveguide arrays," Phys. Rev. Lett. 81, 3383-3386 (1998).
[CrossRef]

Enger, J.

M. E. J. Friese, J. Enger, H. Rubinsztein-Dunlop, and N. R. Heckenberg, "Optical angular-momentum transfer to trapped absorbing particles," Phys. Rev. A 54, 1593-1596 (1996).
[CrossRef] [PubMed]

Eugenieva, E.

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, "Modulation instability and pattern formation in spatially incoherent light beams," Science 290, 495-499 (2000).
[CrossRef] [PubMed]

Eugenieva, E. D.

H. Martin, E. D. Eugenieva, Z. Chen, and D. N. Christodoulides, "Discrete solitons and soliton-induced dislocations in partially-coherent photonic lattices," Phys. Rev. Lett. 92, 123902 (2004).
[CrossRef]

Z. Chen, H. Martin, E. D. Eugenieva, J. Xu, and A. Bezryadina, "Anisotropic enhancement of discrete diffraction and formation of two-dimensional discrete-soliton trains," Phys. Rev. Lett. 92, 143902 (2004).
[CrossRef] [PubMed]

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] [PubMed]

Flach, S.

D. Campbell, S. Flach, and Y. S. Kivshar, "Localizing energy through nonlinearity and discreteness," Phys. Today 57, 43-49 (2004).
[CrossRef]

Fleischer, J. W.

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, "Observation of vortex-ring discrete solitons in 2D photonic lattices," Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef]

H. Buljan, O. Cohen, J. W. Fleischer, T. Schwartz, M. Segev, Z. H. Musslimani, N. K. Efremidis, and D. N. Christodoulides, "Random-phase solitons in nonlinear periodic lattices," Phys. Rev. Lett. 92, 223901 (2004).
[CrossRef] [PubMed]

O. Cohen, B. Freedman, J. W. Fleischer, M. Segev, and D. N. Christodoulides, "Grating-mediated waveguiding," Phys. Rev. Lett. 93, 103902 (2004).
[CrossRef] [PubMed]

J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of discrete solitons in optically induced real time waveguide arrays," Phys. Rev. Lett. 90, 023902 (2003).
[CrossRef] [PubMed]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices," Nature (London) 422, 147-150 (2003).
[CrossRef]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, "Discrete solitons in photorefractive optically induced photonic lattices," Phys. Rev. E 66, 046602 (2002).
[CrossRef]

Frantzeskakis, D. J.

J. Yang, I. Makasyuk, P. G. Kevrekidis, H. Martin, B. A. Malomed, D. J. Frantzeskakis, and Z. Chen, "Necklace-like solitons in optically induced photonic lattices," Phys. Rev. Lett. 94, 113902 (2005).
[CrossRef]

P. G. Kevrekidis, B. A. Malomed, Z. Chen, and D. J. Frantzeskakis, "Stable higher-order vortices and quasi-vortices in the discrete nonlinear Schrödinger equation," Phys. Rev. E 70, 056612 (2004).
[CrossRef]

Freedman, B.

O. Cohen, B. Freedman, J. W. Fleischer, M. Segev, and D. N. Christodoulides, "Grating-mediated waveguiding," Phys. Rev. Lett. 93, 103902 (2004).
[CrossRef] [PubMed]

Friese, M. E.

M. E. J. Friese, J. Enger, H. Rubinsztein-Dunlop, and N. R. Heckenberg, "Optical angular-momentum transfer to trapped absorbing particles," Phys. Rev. A 54, 1593-1596 (1996).
[CrossRef] [PubMed]

H. He, M. E. J. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, "Direct observation of transfer of angular momentum to absorptive particles from a laser beam with a phase singularity," Phys. Rev. Lett. 75, 826-829 (1995).
[CrossRef] [PubMed]

Hanna, B.

D. Neshev, A. A. Sukhorukov, B. Hanna, W. Krolikowski, and Y. S. Kivshar, "Controlled generation and steering of spatial gap solitons," Phys. Rev. Lett. 93, 083905 (2004).
[CrossRef] [PubMed]

He, H.

H. He, M. E. J. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, "Direct observation of transfer of angular momentum to absorptive particles from a laser beam with a phase singularity," Phys. Rev. Lett. 75, 826-829 (1995).
[CrossRef] [PubMed]

Heckenberg, N. R.

M. E. J. Friese, J. Enger, H. Rubinsztein-Dunlop, and N. R. Heckenberg, "Optical angular-momentum transfer to trapped absorbing particles," Phys. Rev. A 54, 1593-1596 (1996).
[CrossRef] [PubMed]

H. He, M. E. J. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, "Direct observation of transfer of angular momentum to absorptive particles from a laser beam with a phase singularity," Phys. Rev. Lett. 75, 826-829 (1995).
[CrossRef] [PubMed]

Hudock, J.

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, "Observation of vortex-ring discrete solitons in 2D photonic lattices," Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef]

Joseph, R. I.

Kevrekidis, P. G.

J. Yang, I. Makasyuk, P. G. Kevrekidis, H. Martin, B. A. Malomed, D. J. Frantzeskakis, and Z. Chen, "Necklace-like solitons in optically induced photonic lattices," Phys. Rev. Lett. 94, 113902 (2005).
[CrossRef]

P. G. Kevrekidis, B. A. Malomed, Z. Chen, and D. J. Frantzeskakis, "Stable higher-order vortices and quasi-vortices in the discrete nonlinear Schrödinger equation," Phys. Rev. E 70, 056612 (2004).
[CrossRef]

B. A. Malomed and P. G. Kevrekidis, "Discrete vortex solitons," Phys. Rev. E 64, 026601 (2001).
[CrossRef]

Kim, Y.-R.

T. H. Coskun, D. N. Christodoulides, Y.-R. Kim, Z. Chen, M. Soljacic, and M. Segev, "Bright spatial solitons on a partially incoherent background," Phys. Rev. Lett. 84, 2374-2377 (2000).
[CrossRef] [PubMed]

Kip, D.

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, "Modulation instability and pattern formation in spatially incoherent light beams," Science 290, 495-499 (2000).
[CrossRef] [PubMed]

Kittel, C.

C. Kittel, Introduction to Solid-State Physics (Wiley, 1996).

Kivshar, Y.

Kivshar, Y. S.

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, "Observation of discrete vortex solitons in optically-induced photonic lattices," Phys. Rev. Lett. 92, 123903 (2004).
[CrossRef]

D. N. Neshev, Y. S. Kivshar, H. Martin, and Z. Chen, "Soliton stripes in two-dimensional nonlinear photonic lattices," Opt. Lett. 29, 486-488 (2004).
[CrossRef] [PubMed]

D. Campbell, S. Flach, and Y. S. Kivshar, "Localizing energy through nonlinearity and discreteness," Phys. Today 57, 43-49 (2004).
[CrossRef]

D. Neshev, A. A. Sukhorukov, B. Hanna, W. Krolikowski, and Y. S. Kivshar, "Controlled generation and steering of spatial gap solitons," Phys. Rev. Lett. 93, 083905 (2004).
[CrossRef] [PubMed]

A. S. Desyatnikov, E. A. Ostrovskaya, Y. S. Kivshar, and C. Denz, "Composite band-gap solitons in nonlinear optically induced lattices," Phys. Rev. Lett. 91, 153902 (2003).
[CrossRef] [PubMed]

Klinger, J.

Krolikowski, W.

D. Neshev, A. A. Sukhorukov, B. Hanna, W. Krolikowski, and Y. S. Kivshar, "Controlled generation and steering of spatial gap solitons," Phys. Rev. Lett. 93, 083905 (2004).
[CrossRef] [PubMed]

D. Neshev, E. Ostrovskaya, Y. Kivshar, and W. Krolikowski, "Spatial solitons in optically induced gratings," Opt. Lett. 28, 710-712 (2003).
[CrossRef] [PubMed]

W. Krolikowski, M. Saffman, B. Luther-Davies, and C. Denz, "Anomalous interaction of spatial solitons in photorefractive media," Phys. Rev. Lett. 80, 3240-3243 (1998).
[CrossRef]

Lederer, F.

D. N. Christodoulides, F. Lederer, and Y. Siberberg, "Discretizing light behaviour in linear and nonlinear waveguide lattices," Nature (London) 424, 817-822 (2003).
[CrossRef]

Luther-Davies, B.

W. Krolikowski, M. Saffman, B. Luther-Davies, and C. Denz, "Anomalous interaction of spatial solitons in photorefractive media," Phys. Rev. Lett. 80, 3240-3243 (1998).
[CrossRef]

Makasyuk, I.

J. Yang, I. Makasyuk, P. G. Kevrekidis, H. Martin, B. A. Malomed, D. J. Frantzeskakis, and Z. Chen, "Necklace-like solitons in optically induced photonic lattices," Phys. Rev. Lett. 94, 113902 (2005).
[CrossRef]

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, "Observation of discrete vortex solitons in optically-induced photonic lattices," Phys. Rev. Lett. 92, 123903 (2004).
[CrossRef]

Z. Chen, I. Makasyuk, A. Bezryadina, and J. Yang, "Observation of two-dimensional lattice vector solitons," Opt. Lett. 29, 1656-1658 (2004).
[CrossRef] [PubMed]

J. Yang, I. Makasyuk, A. Bezryadina, and Z. Chen, "Dipole solitons in optically-induced two-dimensional photonic lattices," Opt. Lett. 29, 1662-1664 (2004).
[CrossRef] [PubMed]

Malomed, B. A.

J. Yang, I. Makasyuk, P. G. Kevrekidis, H. Martin, B. A. Malomed, D. J. Frantzeskakis, and Z. Chen, "Necklace-like solitons in optically induced photonic lattices," Phys. Rev. Lett. 94, 113902 (2005).
[CrossRef]

P. G. Kevrekidis, B. A. Malomed, Z. Chen, and D. J. Frantzeskakis, "Stable higher-order vortices and quasi-vortices in the discrete nonlinear Schrödinger equation," Phys. Rev. E 70, 056612 (2004).
[CrossRef]

B. A. Malomed and P. G. Kevrekidis, "Discrete vortex solitons," Phys. Rev. E 64, 026601 (2001).
[CrossRef]

Mandelik, D.

D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, "Gap solitons in waveguide arrays," Phys. Rev. Lett. 92, 093904 (2004).
[CrossRef] [PubMed]

Manela, O.

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, "Observation of vortex-ring discrete solitons in 2D photonic lattices," Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef]

Martin, H.

J. Yang, I. Makasyuk, P. G. Kevrekidis, H. Martin, B. A. Malomed, D. J. Frantzeskakis, and Z. Chen, "Necklace-like solitons in optically induced photonic lattices," Phys. Rev. Lett. 94, 113902 (2005).
[CrossRef]

Z. Chen, H. Martin, E. D. Eugenieva, J. Xu, and A. Bezryadina, "Anisotropic enhancement of discrete diffraction and formation of two-dimensional discrete-soliton trains," Phys. Rev. Lett. 92, 143902 (2004).
[CrossRef] [PubMed]

H. Martin, E. D. Eugenieva, Z. Chen, and D. N. Christodoulides, "Discrete solitons and soliton-induced dislocations in partially-coherent photonic lattices," Phys. Rev. Lett. 92, 123902 (2004).
[CrossRef]

D. N. Neshev, Y. S. Kivshar, H. Martin, and Z. Chen, "Soliton stripes in two-dimensional nonlinear photonic lattices," Opt. Lett. 29, 486-488 (2004).
[CrossRef] [PubMed]

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, "Observation of discrete vortex solitons in optically-induced photonic lattices," Phys. Rev. Lett. 92, 123903 (2004).
[CrossRef]

J. Klinger, H. Martin, and Z. Chen, "Experiments on induced modulational instability of an incoherent optical beam," Opt. Lett. 26, 271-273 (2001).
[CrossRef]

McCarthy, K.

Meier, J.

J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotii, H. Yang, G. Salamo, M. Sorel, and J. S. Aitchison, "Experimental observation of discrete modulational instability," Phys. Rev. Lett. 92, 163902 (2004).
[CrossRef] [PubMed]

J. Meier, G. I. Stegeman, Y. Silberberg, R. Morandotii, and J. S. Aitchison, "Nonlinear optical beam interactions in waveguide arrays," Phys. Rev. Lett. 93, 093903 (2004).
[CrossRef] [PubMed]

Mitchell, M.

Z. Chen, M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, "Self-trapping of dark incoherent light beams", Science 280, 889-892 (1998).
[CrossRef] [PubMed]

M. Mitchell, Z. Chen, M.-F. Shih, and M. Segev, "Self-trapping of partially spatially incoherent light," Phys. Rev. Lett. 77, 490 (1996).
[CrossRef] [PubMed]

Morandotii, R.

J. Meier, G. I. Stegeman, Y. Silberberg, R. Morandotii, and J. S. Aitchison, "Nonlinear optical beam interactions in waveguide arrays," Phys. Rev. Lett. 93, 093903 (2004).
[CrossRef] [PubMed]

J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotii, H. Yang, G. Salamo, M. Sorel, and J. S. Aitchison, "Experimental observation of discrete modulational instability," Phys. Rev. Lett. 92, 163902 (2004).
[CrossRef] [PubMed]

Morandotti, R.

D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, "Gap solitons in waveguide arrays," Phys. Rev. Lett. 92, 093904 (2004).
[CrossRef] [PubMed]

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, 2726-2729 (1999).
[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, "Observation of discrete solitons in optical waveguide arrays," Phys. Rev. Lett. 81, 3383-3386 (1998).
[CrossRef]

Musslimani, Z. H.

H. Buljan, O. Cohen, J. W. Fleischer, T. Schwartz, M. Segev, Z. H. Musslimani, N. K. Efremidis, and D. N. Christodoulides, "Random-phase solitons in nonlinear periodic lattices," Phys. Rev. Lett. 92, 223901 (2004).
[CrossRef] [PubMed]

J. Yang and Z. H. Musslimani, "Fundamental and vortex solitons in a two-dimensional optical lattice," Opt. Lett. 28, 2094-2096 (2003).
[CrossRef] [PubMed]

Neshev, D.

D. Neshev, A. A. Sukhorukov, B. Hanna, W. Krolikowski, and Y. S. Kivshar, "Controlled generation and steering of spatial gap solitons," Phys. Rev. Lett. 93, 083905 (2004).
[CrossRef] [PubMed]

D. Neshev, E. Ostrovskaya, Y. Kivshar, and W. Krolikowski, "Spatial solitons in optically induced gratings," Opt. Lett. 28, 710-712 (2003).
[CrossRef] [PubMed]

Neshev, D. N.

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, "Observation of discrete vortex solitons in optically-induced photonic lattices," Phys. Rev. Lett. 92, 123903 (2004).
[CrossRef]

D. N. Neshev, Y. S. Kivshar, H. Martin, and Z. Chen, "Soliton stripes in two-dimensional nonlinear photonic lattices," Opt. Lett. 29, 486-488 (2004).
[CrossRef] [PubMed]

Ostrovskaya, E.

Ostrovskaya, E. A.

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, "Observation of discrete vortex solitons in optically-induced photonic lattices," Phys. Rev. Lett. 92, 123903 (2004).
[CrossRef]

A. S. Desyatnikov, E. A. Ostrovskaya, Y. S. Kivshar, and C. Denz, "Composite band-gap solitons in nonlinear optically induced lattices," Phys. Rev. Lett. 91, 153902 (2003).
[CrossRef] [PubMed]

Peschel, U.

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, 2726-2729 (1999).
[CrossRef]

Petrovic, M.

M. Petrovic, D. Traqer, A. Strinic, M. Belic, J. Schoder, and C. Denz, "Solitonic lattices in photorefractive crystals," Phys. Rev. E 68, 055601(R) (2003).
[CrossRef]

Petter, J.

Rubinsztein-Dunlop, H.

M. E. J. Friese, J. Enger, H. Rubinsztein-Dunlop, and N. R. Heckenberg, "Optical angular-momentum transfer to trapped absorbing particles," Phys. Rev. A 54, 1593-1596 (1996).
[CrossRef] [PubMed]

H. He, M. E. J. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, "Direct observation of transfer of angular momentum to absorptive particles from a laser beam with a phase singularity," Phys. Rev. Lett. 75, 826-829 (1995).
[CrossRef] [PubMed]

Saffman, M.

W. Krolikowski, M. Saffman, B. Luther-Davies, and C. Denz, "Anomalous interaction of spatial solitons in photorefractive media," Phys. Rev. Lett. 80, 3240-3243 (1998).
[CrossRef]

Salamo, G.

J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotii, H. Yang, G. Salamo, M. Sorel, and J. S. Aitchison, "Experimental observation of discrete modulational instability," Phys. Rev. Lett. 92, 163902 (2004).
[CrossRef] [PubMed]

Schoder, J.

M. Petrovic, D. Traqer, A. Strinic, M. Belic, J. Schoder, and C. Denz, "Solitonic lattices in photorefractive crystals," Phys. Rev. E 68, 055601(R) (2003).
[CrossRef]

Schrder, J.

Schwartz, T.

H. Buljan, O. Cohen, J. W. Fleischer, T. Schwartz, M. Segev, Z. H. Musslimani, N. K. Efremidis, and D. N. Christodoulides, "Random-phase solitons in nonlinear periodic lattices," Phys. Rev. Lett. 92, 223901 (2004).
[CrossRef] [PubMed]

Sears, S.

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, "Discrete solitons in photorefractive optically induced photonic lattices," Phys. Rev. E 66, 046602 (2002).
[CrossRef]

Segev, M.

H. Buljan, O. Cohen, J. W. Fleischer, T. Schwartz, M. Segev, Z. H. Musslimani, N. K. Efremidis, and D. N. Christodoulides, "Random-phase solitons in nonlinear periodic lattices," Phys. Rev. Lett. 92, 223901 (2004).
[CrossRef] [PubMed]

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, "Observation of vortex-ring discrete solitons in 2D photonic lattices," Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef]

O. Cohen, B. Freedman, J. W. Fleischer, M. Segev, and D. N. Christodoulides, "Grating-mediated waveguiding," Phys. Rev. Lett. 93, 103902 (2004).
[CrossRef] [PubMed]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices," Nature (London) 422, 147-150 (2003).
[CrossRef]

J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of discrete solitons in optically induced real time waveguide arrays," Phys. Rev. Lett. 90, 023902 (2003).
[CrossRef] [PubMed]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, "Discrete solitons in photorefractive optically induced photonic lattices," Phys. Rev. E 66, 046602 (2002).
[CrossRef]

M. Soljacic, M. Segev, T. Coskun, D. N. Christodoulides, and A. Vishwanath, "Modulation instability of incoherent beams in noninstantaneous nonlinear media," Phys. Rev. Lett. 84, 467-470 (2000).
[CrossRef] [PubMed]

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, "Modulation instability and pattern formation in spatially incoherent light beams," Science 290, 495-499 (2000).
[CrossRef] [PubMed]

T. H. Coskun, D. N. Christodoulides, Y.-R. Kim, Z. Chen, M. Soljacic, and M. Segev, "Bright spatial solitons on a partially incoherent background," Phys. Rev. Lett. 84, 2374-2377 (2000).
[CrossRef] [PubMed]

Z. Chen, M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, "Self-trapping of dark incoherent light beams", Science 280, 889-892 (1998).
[CrossRef] [PubMed]

M. Mitchell, Z. Chen, M.-F. Shih, and M. Segev, "Self-trapping of partially spatially incoherent light," Phys. Rev. Lett. 77, 490 (1996).
[CrossRef] [PubMed]

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, "Steady-state spatial screening solitons in photorefractive materials with external applied field," Phys. Rev. Lett. 73, 3211-3214 (1994).
[CrossRef] [PubMed]

Shih, M.-F.

M. Mitchell, Z. Chen, M.-F. Shih, and M. Segev, "Self-trapping of partially spatially incoherent light," Phys. Rev. Lett. 77, 490 (1996).
[CrossRef] [PubMed]

Siberberg, Y.

D. N. Christodoulides, F. Lederer, and Y. Siberberg, "Discretizing light behaviour in linear and nonlinear waveguide lattices," Nature (London) 424, 817-822 (2003).
[CrossRef]

Sievers, A. J.

A. J. Sievers and S. Takeno, "Intrinsic localized modes in anharmonic crystals," Phys. Rev. Lett. 61, 970-973 (1988).
[CrossRef] [PubMed]

Silberberg, Y.

J. Meier, G. I. Stegeman, Y. Silberberg, R. Morandotii, and J. S. Aitchison, "Nonlinear optical beam interactions in waveguide arrays," Phys. Rev. Lett. 93, 093903 (2004).
[CrossRef] [PubMed]

D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, "Gap solitons in waveguide arrays," Phys. Rev. Lett. 92, 093904 (2004).
[CrossRef] [PubMed]

J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotii, H. Yang, G. Salamo, M. Sorel, and J. S. Aitchison, "Experimental observation of discrete modulational instability," Phys. Rev. Lett. 92, 163902 (2004).
[CrossRef] [PubMed]

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, 2726-2729 (1999).
[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, "Observation of discrete solitons in optical waveguide arrays," Phys. Rev. Lett. 81, 3383-3386 (1998).
[CrossRef]

Singh, S. R.

S. R. Singh and D. N. Christodoulides, "Evolution of spatial optical solitons in biased photorefractive media under steady state conditions," Opt. Commun. 118, 569-576 (1995).
[CrossRef]

Smerzi, A.

A. Trombettoni and A. Smerzi, "Discrete solitons and breathers with dilute Bose-Einstein Condensates," Phys. Rev. Lett. 86, 2353-2356 (2001).
[CrossRef] [PubMed]

Soljacic, M.

M. Soljacic, M. Segev, T. Coskun, D. N. Christodoulides, and A. Vishwanath, "Modulation instability of incoherent beams in noninstantaneous nonlinear media," Phys. Rev. Lett. 84, 467-470 (2000).
[CrossRef] [PubMed]

T. H. Coskun, D. N. Christodoulides, Y.-R. Kim, Z. Chen, M. Soljacic, and M. Segev, "Bright spatial solitons on a partially incoherent background," Phys. Rev. Lett. 84, 2374-2377 (2000).
[CrossRef] [PubMed]

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, "Modulation instability and pattern formation in spatially incoherent light beams," Science 290, 495-499 (2000).
[CrossRef] [PubMed]

Sorel, M.

J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotii, H. Yang, G. Salamo, M. Sorel, and J. S. Aitchison, "Experimental observation of discrete modulational instability," Phys. Rev. Lett. 92, 163902 (2004).
[CrossRef] [PubMed]

Stegeman, G. I.

J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotii, H. Yang, G. Salamo, M. Sorel, and J. S. Aitchison, "Experimental observation of discrete modulational instability," Phys. Rev. Lett. 92, 163902 (2004).
[CrossRef] [PubMed]

J. Meier, G. I. Stegeman, Y. Silberberg, R. Morandotii, and J. S. Aitchison, "Nonlinear optical beam interactions in waveguide arrays," Phys. Rev. Lett. 93, 093903 (2004).
[CrossRef] [PubMed]

Strinic, A.

M. Petrovic, D. Traqer, A. Strinic, M. Belic, J. Schoder, and C. Denz, "Solitonic lattices in photorefractive crystals," Phys. Rev. E 68, 055601(R) (2003).
[CrossRef]

Sukhorukov, A. A.

D. Neshev, A. A. Sukhorukov, B. Hanna, W. Krolikowski, and Y. S. Kivshar, "Controlled generation and steering of spatial gap solitons," Phys. Rev. Lett. 93, 083905 (2004).
[CrossRef] [PubMed]

Takeno, S.

A. J. Sievers and S. Takeno, "Intrinsic localized modes in anharmonic crystals," Phys. Rev. Lett. 61, 970-973 (1988).
[CrossRef] [PubMed]

Traqer, D.

M. Petrovic, D. Traqer, A. Strinic, M. Belic, J. Schoder, and C. Denz, "Solitonic lattices in photorefractive crystals," Phys. Rev. E 68, 055601(R) (2003).
[CrossRef]

Trger, D.

Trombettoni, A.

A. Trombettoni and A. Smerzi, "Discrete solitons and breathers with dilute Bose-Einstein Condensates," Phys. Rev. Lett. 86, 2353-2356 (2001).
[CrossRef] [PubMed]

Valley, G. C.

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, "Steady-state spatial screening solitons in photorefractive materials with external applied field," Phys. Rev. Lett. 73, 3211-3214 (1994).
[CrossRef] [PubMed]

Vishwanath, A.

M. Soljacic, M. Segev, T. Coskun, D. N. Christodoulides, and A. Vishwanath, "Modulation instability of incoherent beams in noninstantaneous nonlinear media," Phys. Rev. Lett. 84, 467-470 (2000).
[CrossRef] [PubMed]

Xu, J.

Z. Chen, H. Martin, E. D. Eugenieva, J. Xu, and A. Bezryadina, "Anisotropic enhancement of discrete diffraction and formation of two-dimensional discrete-soliton trains," Phys. Rev. Lett. 92, 143902 (2004).
[CrossRef] [PubMed]

Yang, H.

J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotii, H. Yang, G. Salamo, M. Sorel, and J. S. Aitchison, "Experimental observation of discrete modulational instability," Phys. Rev. Lett. 92, 163902 (2004).
[CrossRef] [PubMed]

Yang, J.

Yariv, A.

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, "Steady-state spatial screening solitons in photorefractive materials with external applied field," Phys. Rev. Lett. 73, 3211-3214 (1994).
[CrossRef] [PubMed]

Nature (London) (2)

D. N. Christodoulides, F. Lederer, and Y. Siberberg, "Discretizing light behaviour in linear and nonlinear waveguide lattices," Nature (London) 424, 817-822 (2003).
[CrossRef]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices," Nature (London) 422, 147-150 (2003).
[CrossRef]

Opt. Commun. (1)

S. R. Singh and D. N. Christodoulides, "Evolution of spatial optical solitons in biased photorefractive media under steady state conditions," Opt. Commun. 118, 569-576 (1995).
[CrossRef]

Opt. Lett. (9)

Phys. Rev. A (1)

M. E. J. Friese, J. Enger, H. Rubinsztein-Dunlop, and N. R. Heckenberg, "Optical angular-momentum transfer to trapped absorbing particles," Phys. Rev. A 54, 1593-1596 (1996).
[CrossRef] [PubMed]

Phys. Rev. E (4)

B. A. Malomed and P. G. Kevrekidis, "Discrete vortex solitons," Phys. Rev. E 64, 026601 (2001).
[CrossRef]

P. G. Kevrekidis, B. A. Malomed, Z. Chen, and D. J. Frantzeskakis, "Stable higher-order vortices and quasi-vortices in the discrete nonlinear Schrödinger equation," Phys. Rev. E 70, 056612 (2004).
[CrossRef]

M. Petrovic, D. Traqer, A. Strinic, M. Belic, J. Schoder, and C. Denz, "Solitonic lattices in photorefractive crystals," Phys. Rev. E 68, 055601(R) (2003).
[CrossRef]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, "Discrete solitons in photorefractive optically induced photonic lattices," Phys. Rev. E 66, 046602 (2002).
[CrossRef]

Phys. Rev. Lett. (24)

J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of discrete solitons in optically induced real time waveguide arrays," Phys. Rev. Lett. 90, 023902 (2003).
[CrossRef] [PubMed]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, "Observation of discrete solitons in optical waveguide arrays," Phys. Rev. Lett. 81, 3383-3386 (1998).
[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, 2726-2729 (1999).
[CrossRef]

A. J. Sievers and S. Takeno, "Intrinsic localized modes in anharmonic crystals," Phys. Rev. Lett. 61, 970-973 (1988).
[CrossRef] [PubMed]

A. Trombettoni and A. Smerzi, "Discrete solitons and breathers with dilute Bose-Einstein Condensates," Phys. Rev. Lett. 86, 2353-2356 (2001).
[CrossRef] [PubMed]

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] [PubMed]

A. S. Desyatnikov, E. A. Ostrovskaya, Y. S. Kivshar, and C. Denz, "Composite band-gap solitons in nonlinear optically induced lattices," Phys. Rev. Lett. 91, 153902 (2003).
[CrossRef] [PubMed]

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, "Observation of discrete vortex solitons in optically-induced photonic lattices," Phys. Rev. Lett. 92, 123903 (2004).
[CrossRef]

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, "Observation of vortex-ring discrete solitons in 2D photonic lattices," Phys. Rev. Lett. 92, 123904 (2004).
[CrossRef]

Z. Chen, H. Martin, E. D. Eugenieva, J. Xu, and A. Bezryadina, "Anisotropic enhancement of discrete diffraction and formation of two-dimensional discrete-soliton trains," Phys. Rev. Lett. 92, 143902 (2004).
[CrossRef] [PubMed]

H. Buljan, O. Cohen, J. W. Fleischer, T. Schwartz, M. Segev, Z. H. Musslimani, N. K. Efremidis, and D. N. Christodoulides, "Random-phase solitons in nonlinear periodic lattices," Phys. Rev. Lett. 92, 223901 (2004).
[CrossRef] [PubMed]

J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotii, H. Yang, G. Salamo, M. Sorel, and J. S. Aitchison, "Experimental observation of discrete modulational instability," Phys. Rev. Lett. 92, 163902 (2004).
[CrossRef] [PubMed]

D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, "Gap solitons in waveguide arrays," Phys. Rev. Lett. 92, 093904 (2004).
[CrossRef] [PubMed]

D. Neshev, A. A. Sukhorukov, B. Hanna, W. Krolikowski, and Y. S. Kivshar, "Controlled generation and steering of spatial gap solitons," Phys. Rev. Lett. 93, 083905 (2004).
[CrossRef] [PubMed]

O. Cohen, B. Freedman, J. W. Fleischer, M. Segev, and D. N. Christodoulides, "Grating-mediated waveguiding," Phys. Rev. Lett. 93, 103902 (2004).
[CrossRef] [PubMed]

J. Meier, G. I. Stegeman, Y. Silberberg, R. Morandotii, and J. S. Aitchison, "Nonlinear optical beam interactions in waveguide arrays," Phys. Rev. Lett. 93, 093903 (2004).
[CrossRef] [PubMed]

M. Mitchell, Z. Chen, M.-F. Shih, and M. Segev, "Self-trapping of partially spatially incoherent light," Phys. Rev. Lett. 77, 490 (1996).
[CrossRef] [PubMed]

H. Martin, E. D. Eugenieva, Z. Chen, and D. N. Christodoulides, "Discrete solitons and soliton-induced dislocations in partially-coherent photonic lattices," Phys. Rev. Lett. 92, 123902 (2004).
[CrossRef]

M. Segev, G. C. Valley, B. Crosignani, P. DiPorto, and A. Yariv, "Steady-state spatial screening solitons in photorefractive materials with external applied field," Phys. Rev. Lett. 73, 3211-3214 (1994).
[CrossRef] [PubMed]

M. Soljacic, M. Segev, T. Coskun, D. N. Christodoulides, and A. Vishwanath, "Modulation instability of incoherent beams in noninstantaneous nonlinear media," Phys. Rev. Lett. 84, 467-470 (2000).
[CrossRef] [PubMed]

T. H. Coskun, D. N. Christodoulides, Y.-R. Kim, Z. Chen, M. Soljacic, and M. Segev, "Bright spatial solitons on a partially incoherent background," Phys. Rev. Lett. 84, 2374-2377 (2000).
[CrossRef] [PubMed]

J. Yang, I. Makasyuk, P. G. Kevrekidis, H. Martin, B. A. Malomed, D. J. Frantzeskakis, and Z. Chen, "Necklace-like solitons in optically induced photonic lattices," Phys. Rev. Lett. 94, 113902 (2005).
[CrossRef]

H. He, M. E. J. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, "Direct observation of transfer of angular momentum to absorptive particles from a laser beam with a phase singularity," Phys. Rev. Lett. 75, 826-829 (1995).
[CrossRef] [PubMed]

W. Krolikowski, M. Saffman, B. Luther-Davies, and C. Denz, "Anomalous interaction of spatial solitons in photorefractive media," Phys. Rev. Lett. 80, 3240-3243 (1998).
[CrossRef]

Phys. Today (1)

D. Campbell, S. Flach, and Y. S. Kivshar, "Localizing energy through nonlinearity and discreteness," Phys. Today 57, 43-49 (2004).
[CrossRef]

Science (2)

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, "Modulation instability and pattern formation in spatially incoherent light beams," Science 290, 495-499 (2000).
[CrossRef] [PubMed]

Z. Chen, M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, "Self-trapping of dark incoherent light beams", Science 280, 889-892 (1998).
[CrossRef] [PubMed]

Other (1)

C. Kittel, Introduction to Solid-State Physics (Wiley, 1996).

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Figures (10)

Fig. 1
Fig. 1

Experimental setup. PBS, polarizing beam splitter; SBN, strontium barium niobate. The vortex mask is used only for experiments with a vortex beam.

Fig. 2
Fig. 2

Output intensity patterns of a 2D square lattice as created by optical induction. (a) Stable o-polarized linear lattice at 20 μ m spacing, (b) its corresponding output when the lattice beam is turned to e polarized. (c) Stable e-polarized nonlinear lattice at 37 μ m spacing, (d) its corresponding output when the nonlinearity is too high.

Fig. 3
Fig. 3

Gaussian beam propagating in optically-induced linear lattices, showing formation of a 2D discrete soliton. Top, 3D intensity plots, bottom, 2D transverse patterns of (a) the probe beam at crystal input, (b) output of normal diffraction without the lattice, (c) output of discrete diffraction at low nonlinearity (bias field, 900 V cm ), (d) output of discrete soliton at high nonlinearity (bias field, 3000 V cm ).

Fig. 4
Fig. 4

Top, soliton-induced lattice dislocation when a probe soliton was launched into a nonlinear lattice toward the (a) right, (b) left, (c) up, (d) down directions. The launching angle relative to the direction of lattice propagation is 0.5° for (a), (b) and 0.8° for (c), (d). Bottom, superimposed images of the probe beam taken with (denoted by “A”) and without (denoted by “B”) the lattice. (a), (b) show a slowdown in the transverse velocity of the probe soliton, (c), (d) show soliton hopping from site to site under the influence of the lattice. The lattice spacing is 65 μ m in all cases.

Fig. 5
Fig. 5

Top, soliton-induced lattice dislocation when the intensity of a probe beam was increased gradually. The launching angle relative to the direction of lattice propagation is 0.8° toward the right. The intensity of a probe beam normalized to that of the lattice beam is (a) 0.9, (b) 1.0, (c) 1.1; (d) shows the restored lattice after the probe beam is turned off. Bottom, the corresponding intensity patterns of the probe soliton when the lattice beam is turned (a)–(c) off, (d) on. The lattice spacing is 50 μ m in all cases.

Fig. 6
Fig. 6

Same as in Fig. 5, except that the launching angle relative to the direction of lattice propagation is 0.8 ° toward the left, and the intensity ratio between the probe soliton and the lattice is (a) 0.9, (b) 1.1, (c) 1.3.

Fig. 7
Fig. 7

Formation of soliton-induced polaronlike structures as the intensity of the control soliton was increased gradually. The intensity ratio between the probe soliton and the lattice is (a) 0.1, (b) 0.6, (c) 1.0, (d) 1.5. The lattice spacing is about 55 μ m for the top panels and 40 μ m for the bottom panels. The images in the bottom panels have been enlarged for better visualization of the central part of the lattice.

Fig. 8
Fig. 8

Vortex beam propagating in an optically-induced linear lattice showing formation of a 2D discrete vortex soliton. Top panels show the 3D intensity plots of the vortex beam at crystal output of (a) normal diffraction without the lattice (b), (c) discrete diffraction at low nonlinearity, (d) discrete soliton at high nonlinearity (bias field, 3000 V cm ). The lattice spacing is 28 μ m . Bottom panels show (e) discrete vortex soliton reproduced in a lattice of 20 μ m spacing, (f)–(h) a series of interferograms between the vortex soliton and a plane wave confirming the nontrivial spiral phase structure of the vortex.

Fig. 9
Fig. 9

Vortex beam of unit topological charge interacting with an optically-induced nonlinear lattice showing lattice twisting driven by the angular momentum carried by the vortex beam. (a) Input intensity patterns of the lattice (top) and the vortex (bottom). Nonlinear output of the vortex propagating (b) alone, (c) with the lattice. (d) Nonlinear output of the lattice corresponding to (c) when the vortex has a positive (top) or a negative (bottom) charge. The lattice spacing is 40 μ m in all cases.

Fig. 10
Fig. 10

Doubly-charged vortex beam ( m = + 2 ) interacting with a nonlinear solitonic lattice. (a) Input intensity pattern of the vortex. Nonlinear output of the vortex propagating (b) alone, (c) with the lattice. (d) Nonlinear output of the lattice propagating with the vortex; the corresponding unperturbed lattice is shown in Fig. 2c. The lattice spacing is 37 μ m in all cases.

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