Abstract

We report on the stabilization of inherently unstable counterpropagating photorefractive spatial solitons by the use of one- and two-dimensional photonic lattices. We numerically investigate the dependence of the instability dynamics on period and amplitude of the lattice and present experimental verification for the dynamic stabilization of the bi-directional soliton state.

© 2007 Optical Society of America

PDF Article

References

  • View by:
  • |
  • |
  • |

  1. G. I. Stegeman and M. Segev, "Optical Spatial Solitons and Their Interactions: Universality and Diversity," Science 286, 1518-1523 (1999).
    [CrossRef]
  2. W. Krolikowski, B. Luther-Davies, and C. Denz, "Photorefractive Solitons," IEEE J. Sel. Top. Quantum Electron. 39, 3-12 (2003).
  3. Y. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic Press, San Diego, 2003).
  4. D. Träger, N. Sagemerten, and C. Denz, "Guiding of DynamicallyModulated Signals in Arrays of Photorefractive Spatial Solitons," IEEE J. Sel. Top. Quantum Electron. 12, 383-387 (2006).
  5. C. Weilnau, M. Ahles, J. Petter, D. Träger, J. Schröder, and C. Denz, "Spatial optical (2+1)-dimensional scalarand vector-solitons in saturable nonlinear media," Ann. Phys. 11, 573-629 (2002).
    [CrossRef]
  6. O. Cohen, R. Uzdin, T. Carmon, J. W. Fleischer, M. Segev, and S. Odoulov, "Collisions between Optical Spatial Solitons Propagating in Opposite Directions," Phys. Rev. Lett. 89, 133,901-4 (2002).
  7. D. Kip, C. Herden, and M. Wesner, "All-Optical Signal Routing Using Interaction ofMutually Incoherent Spatial Solitons," Ferroelectrics 274, 135-142 (2002).
    [CrossRef]
  8. P. Jander, J. Schröder, C. Denz, M. Petrovic, and M. R. Belic, "Dynamic instability of self-induced bidirectional waveguides in photorefractive media," Opt. Lett. 30, 750-752 (2005).
    [CrossRef]
  9. K. Motzek, P. Jander, A. Desyatnikov, M. Belic, C. Denz, and F. Kaiser, "Dynamic counterpropagating vector solitons in saturable self-focusing media," Phys. Rev. E 68, 066,611-4 (2003).
  10. M. R. Belic, P. Jander, A. Strinic, A. Desyatnikov, and C. Denz, "Self-trapped bidirectional waveguides in a saturable photorefractive medium," Phys. Rev. E 68, R025,601-4 (2003).
  11. M. Belic, P. Jander, K. Motzek, A. Desyatnikov, D. Jovic, A. Strinic, M. Petrovic, C. Denz, and F. Kaiser, "Counterpropagating self-trapped beams in photorefractive crystals," J. Opt. B 6, S190-S196 (2004).
  12. P. Jander, J. Schröder, T. Richter, K. Motzek, F. Kaiser, M. R. Belic, and C. Denz, "Dynamic instability of counterpropagating self-trapped beams in photorefractive media," Proc. SPIE 6255, 62,550A (2006).
  13. M. Haelterman, A. P. Sheppard, and A. W. Snyder, "Bimodal counterpropagating spatial solitary-waves," Opt. Commun. 103, 145-152 (1993).
    [CrossRef]
  14. Y. Silberberg and I. B. Joseph, "Instabilities, Self-Oscillation, and Chaos in a Simple Nonlinear Optical Interaction," Phys. Rev. Lett. 48, 1541-1543 (1982). URL http://link.aps.org/abstract/PRL/v48/p1541.
    [CrossRef]
  15. W. J. Firth and C. Pare, "Transverse modulational instabilities for counterpropagating beams in Kerr media," Opt. Lett. 13, 1096 (1988).
  16. W. J. Firth, A. Fitzgerald, and C. Pare "Transverse instabilities due to counterpropagation in Kerr media," J. Opt. Soc. Am. B 7, 1087-1097 (1990).
  17. F. T. Arecchi, S. Boccaletti, and P. Ramazza, "Pattern formation and competition in nonlinear optics," Phys. Rep. 318, 1-83 (1999).
    [CrossRef]
  18. O. Cohen, S. Lan, T. Carmon, J. A. Giordmaine, and M. Segev, "Spatial vector solitons consisting of counterpropagating fields," Opt. Lett. 27(22), 2013 (2002).
  19. D. N. Christodoulides, F. Lederer, and Y. Silberberg, "Discretizing light behaviour in linear and nonlinear waveguide lattices," Nature 424, 817-823 (2003).
    [CrossRef]
  20. A. L. Jones, "Coupling of optical fibers and scattering in fibers," J. Opt. Soc. Am. 55, 261-271 (1965).
  21. S. Somekh, E. Gamire, A. Yariv, H. L. Garvin, and R. G. Hunsperger, "Channel optical waveguide directional couplers," Appl. Phys. Lett. 22, 46-48 (1973).
    [CrossRef]
  22. D. N. Christodoulides and R. I. Joseph, "Discrete self-focusing in nonlinear arrays of coupled waveguides," Opt. Lett. 13, 794-796 (1988).
  23. 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, 046,602-5 (2002).
  24. H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, "Discrete spatial optical solitons in waveguide arrays," Phys. Rev. Lett. 81(16), 3383-3386 (1998). URL http://link.aps.org/abstract/PRL/v81/p3383.
  25. 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(2), 023,902-4 (2003). URL http://link.aps.org/abstract/PRL/v90/p023902.
  26. 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 422, 147-150 (2003).
    [CrossRef]
  27. D. Neshev, E. A. Ostrovskaya, Y. Kivshar, and W. Krolikowski, "Spatial solitons in optically induced gratings," Opt. Lett. 28, 710-712 (2003).
  28. D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, "Gap solitons in waveguide arrays," Phys. Rev. Lett. 92(9), 093,904-4 (2004). URL http://link.aps.org/abstract/PRL/v92/p093904.
  29. 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(8), 083,905-4 (2004). URL http://link.aps.org/abstract/PRL/v93/p083905.
  30. E. Smirnov, M. Stepic, C. Ruter, V. Shandarov, and D. Kip, "Interaction of counterpropagating discrete solitons in a nonlinear one-dimensional waveguide array," Opt. Lett. 32, 512-514 (2007).
    [CrossRef]
  31. 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]
  32. L. Solymar, D. J. Webb, and A. Grunett-Jepsen, The Physics of Photorefractive Materials, 2nd ed. (Clarendon Press, Oxford, 1996).
  33. M. Carvalho, S. Singh, and D. Christodoulides, "Self-deflection of steady-state bright spatial solitons in biased photorefractive crystals," Opt. Commun. 120(5), 311-315 (1995).
    [CrossRef]
  34. M. Shih, M. Segev, G. Valley, G. Salomono, B. Crosignani, and P. DiPorto, "Observation of two-dimensional steady-state photorefractive screening solitons," Electron. Lett. 31(10), 826-828 (1995).
    [CrossRef]
  35. C. Rotschild, O. Cohen, O. Manela, T. Carmon, and M. Segev, "Interactions between spatial screening solitons propagating in opposite directions," J. Opt. Soc. Am. B 21, 1354-1357 (2004). URL http://www.opticsinfobase.org/abstract.cfm?URI=josab-21-7-1354
  36. 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]
  37. G. P. Agrawal, Nonlinear Fiber Optics, 2nd ed. (Academics Press, San Diego, 1995).
  38. J. B. Geddes, R. A. Indik, J. V. Moloney, and W. J. Firth, "Hexagons and squares in a passive nonlinear optical system," Phys. Rev. A 50, 3471-3485, (1994).
    [CrossRef]
  39. M. Litzkow, M. Livny, and M. Mutka, "Condor - A Hunter of IdleWorkstations," in ICDCS, pp. 104-111 (IEEECS Press, 1988). URL http://www.cs.wisc.edu/condor/.
  40. R. Fischer, D. Träger, D. N. Neshev, A. A. Sukhorukov, W. Krolikowski, C. Denz, and Y. S. Kivshar, "Reducedsymmetry two-dimensional solitons in photonic lattices," Phys. Rev. Lett. 96(2), 023,905-4 (2006). URL http://link.aps.org/abstract/PRL/v96/p023905.
    [CrossRef]
  41. D. Träger, R. Fischer, D. N. Neshev, A. A. Sukhorukov, C. Denz, W. Krolikowski, and Y. S. Kivshar, "Nonlinear Bloch modes in two-dimensional photonic lattices," Opt. Express 14(5), 1913-1923 (2006). URL http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-5-1913
    [CrossRef]
  42. A. S. Desyatnikov, D. N. Neshev, Y. S. Kivshar, N. Sagemerten, D. Träger, J. Jagers, C. Denz, and Y. V. Kartashov, "Nonlinear photonic lattices in anisotropic nonlocal self-focusing media," Opt. Lett. 30(8), 869-871 (2005). URL http://www.opticsinfobase.org/abstract.cfm?URI=ol-30-8-869
    [CrossRef]

2007 (1)

2006 (4)

D. Träger, R. Fischer, D. N. Neshev, A. A. Sukhorukov, C. Denz, W. Krolikowski, and Y. S. Kivshar, "Nonlinear Bloch modes in two-dimensional photonic lattices," Opt. Express 14(5), 1913-1923 (2006). URL http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-5-1913
[CrossRef]

R. Fischer, D. Träger, D. N. Neshev, A. A. Sukhorukov, W. Krolikowski, C. Denz, and Y. S. Kivshar, "Reducedsymmetry two-dimensional solitons in photonic lattices," Phys. Rev. Lett. 96(2), 023,905-4 (2006). URL http://link.aps.org/abstract/PRL/v96/p023905.
[CrossRef]

D. Träger, N. Sagemerten, and C. Denz, "Guiding of DynamicallyModulated Signals in Arrays of Photorefractive Spatial Solitons," IEEE J. Sel. Top. Quantum Electron. 12, 383-387 (2006).

P. Jander, J. Schröder, T. Richter, K. Motzek, F. Kaiser, M. R. Belic, and C. Denz, "Dynamic instability of counterpropagating self-trapped beams in photorefractive media," Proc. SPIE 6255, 62,550A (2006).

2005 (2)

2004 (1)

M. Belic, P. Jander, K. Motzek, A. Desyatnikov, D. Jovic, A. Strinic, M. Petrovic, C. Denz, and F. Kaiser, "Counterpropagating self-trapped beams in photorefractive crystals," J. Opt. B 6, S190-S196 (2004).

2003 (6)

D. N. Christodoulides, F. Lederer, and Y. Silberberg, "Discretizing light behaviour in linear and nonlinear waveguide lattices," Nature 424, 817-823 (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 422, 147-150 (2003).
[CrossRef]

W. Krolikowski, B. Luther-Davies, and C. Denz, "Photorefractive Solitons," IEEE J. Sel. Top. Quantum Electron. 39, 3-12 (2003).

K. Motzek, P. Jander, A. Desyatnikov, M. Belic, C. Denz, and F. Kaiser, "Dynamic counterpropagating vector solitons in saturable self-focusing media," Phys. Rev. E 68, 066,611-4 (2003).

M. R. Belic, P. Jander, A. Strinic, A. Desyatnikov, and C. Denz, "Self-trapped bidirectional waveguides in a saturable photorefractive medium," Phys. Rev. E 68, R025,601-4 (2003).

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

2002 (5)

O. Cohen, S. Lan, T. Carmon, J. A. Giordmaine, and M. Segev, "Spatial vector solitons consisting of counterpropagating fields," Opt. Lett. 27(22), 2013 (2002).

C. Weilnau, M. Ahles, J. Petter, D. Träger, J. Schröder, and C. Denz, "Spatial optical (2+1)-dimensional scalarand vector-solitons in saturable nonlinear media," Ann. Phys. 11, 573-629 (2002).
[CrossRef]

O. Cohen, R. Uzdin, T. Carmon, J. W. Fleischer, M. Segev, and S. Odoulov, "Collisions between Optical Spatial Solitons Propagating in Opposite Directions," Phys. Rev. Lett. 89, 133,901-4 (2002).

D. Kip, C. Herden, and M. Wesner, "All-Optical Signal Routing Using Interaction ofMutually Incoherent Spatial Solitons," Ferroelectrics 274, 135-142 (2002).
[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, 046,602-5 (2002).

1999 (2)

F. T. Arecchi, S. Boccaletti, and P. Ramazza, "Pattern formation and competition in nonlinear optics," Phys. Rep. 318, 1-83 (1999).
[CrossRef]

G. I. Stegeman and M. Segev, "Optical Spatial Solitons and Their Interactions: Universality and Diversity," Science 286, 1518-1523 (1999).
[CrossRef]

1998 (1)

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]

1995 (2)

M. Carvalho, S. Singh, and D. Christodoulides, "Self-deflection of steady-state bright spatial solitons in biased photorefractive crystals," Opt. Commun. 120(5), 311-315 (1995).
[CrossRef]

M. Shih, M. Segev, G. Valley, G. Salomono, B. Crosignani, and P. DiPorto, "Observation of two-dimensional steady-state photorefractive screening solitons," Electron. Lett. 31(10), 826-828 (1995).
[CrossRef]

1994 (2)

J. B. Geddes, R. A. Indik, J. V. Moloney, and W. J. Firth, "Hexagons and squares in a passive nonlinear optical system," Phys. Rev. A 50, 3471-3485, (1994).
[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]

1993 (1)

M. Haelterman, A. P. Sheppard, and A. W. Snyder, "Bimodal counterpropagating spatial solitary-waves," Opt. Commun. 103, 145-152 (1993).
[CrossRef]

1990 (1)

1988 (2)

1982 (1)

Y. Silberberg and I. B. Joseph, "Instabilities, Self-Oscillation, and Chaos in a Simple Nonlinear Optical Interaction," Phys. Rev. Lett. 48, 1541-1543 (1982). URL http://link.aps.org/abstract/PRL/v48/p1541.
[CrossRef]

1973 (1)

S. Somekh, E. Gamire, A. Yariv, H. L. Garvin, and R. G. Hunsperger, "Channel optical waveguide directional couplers," Appl. Phys. Lett. 22, 46-48 (1973).
[CrossRef]

1965 (1)

Ahles, M.

C. Weilnau, M. Ahles, J. Petter, D. Träger, J. Schröder, and C. Denz, "Spatial optical (2+1)-dimensional scalarand vector-solitons in saturable nonlinear media," Ann. Phys. 11, 573-629 (2002).
[CrossRef]

Arecchi, F. T.

F. T. Arecchi, S. Boccaletti, and P. Ramazza, "Pattern formation and competition in nonlinear optics," Phys. Rep. 318, 1-83 (1999).
[CrossRef]

Belic, M.

M. Belic, P. Jander, K. Motzek, A. Desyatnikov, D. Jovic, A. Strinic, M. Petrovic, C. Denz, and F. Kaiser, "Counterpropagating self-trapped beams in photorefractive crystals," J. Opt. B 6, S190-S196 (2004).

K. Motzek, P. Jander, A. Desyatnikov, M. Belic, C. Denz, and F. Kaiser, "Dynamic counterpropagating vector solitons in saturable self-focusing media," Phys. Rev. E 68, 066,611-4 (2003).

Belic, M. R.

P. Jander, J. Schröder, T. Richter, K. Motzek, F. Kaiser, M. R. Belic, and C. Denz, "Dynamic instability of counterpropagating self-trapped beams in photorefractive media," Proc. SPIE 6255, 62,550A (2006).

P. Jander, J. Schröder, C. Denz, M. Petrovic, and M. R. Belic, "Dynamic instability of self-induced bidirectional waveguides in photorefractive media," Opt. Lett. 30, 750-752 (2005).
[CrossRef]

M. R. Belic, P. Jander, A. Strinic, A. Desyatnikov, and C. Denz, "Self-trapped bidirectional waveguides in a saturable photorefractive medium," Phys. Rev. E 68, R025,601-4 (2003).

Boccaletti, S.

F. T. Arecchi, S. Boccaletti, and P. Ramazza, "Pattern formation and competition in nonlinear optics," Phys. Rep. 318, 1-83 (1999).
[CrossRef]

Carmon, T.

O. Cohen, R. Uzdin, T. Carmon, J. W. Fleischer, M. Segev, and S. Odoulov, "Collisions between Optical Spatial Solitons Propagating in Opposite Directions," Phys. Rev. Lett. 89, 133,901-4 (2002).

O. Cohen, S. Lan, T. Carmon, J. A. Giordmaine, and M. Segev, "Spatial vector solitons consisting of counterpropagating fields," Opt. Lett. 27(22), 2013 (2002).

Carvalho, M.

M. Carvalho, S. Singh, and D. Christodoulides, "Self-deflection of steady-state bright spatial solitons in biased photorefractive crystals," Opt. Commun. 120(5), 311-315 (1995).
[CrossRef]

Christodoulides, D.

M. Carvalho, S. Singh, and D. Christodoulides, "Self-deflection of steady-state bright spatial solitons in biased photorefractive crystals," Opt. Commun. 120(5), 311-315 (1995).
[CrossRef]

Christodoulides, D. N.

D. N. Christodoulides, F. Lederer, and Y. Silberberg, "Discretizing light behaviour in linear and nonlinear waveguide lattices," Nature 424, 817-823 (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 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, 046,602-5 (2002).

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

Cohen, O.

O. Cohen, S. Lan, T. Carmon, J. A. Giordmaine, and M. Segev, "Spatial vector solitons consisting of counterpropagating fields," Opt. Lett. 27(22), 2013 (2002).

O. Cohen, R. Uzdin, T. Carmon, J. W. Fleischer, M. Segev, and S. Odoulov, "Collisions between Optical Spatial Solitons Propagating in Opposite Directions," Phys. Rev. Lett. 89, 133,901-4 (2002).

Crosignani, B.

M. Shih, M. Segev, G. Valley, G. Salomono, B. Crosignani, and P. DiPorto, "Observation of two-dimensional steady-state photorefractive screening solitons," Electron. Lett. 31(10), 826-828 (1995).
[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]

Denz, C.

D. Träger, R. Fischer, D. N. Neshev, A. A. Sukhorukov, C. Denz, W. Krolikowski, and Y. S. Kivshar, "Nonlinear Bloch modes in two-dimensional photonic lattices," Opt. Express 14(5), 1913-1923 (2006). URL http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-5-1913
[CrossRef]

D. Träger, N. Sagemerten, and C. Denz, "Guiding of DynamicallyModulated Signals in Arrays of Photorefractive Spatial Solitons," IEEE J. Sel. Top. Quantum Electron. 12, 383-387 (2006).

R. Fischer, D. Träger, D. N. Neshev, A. A. Sukhorukov, W. Krolikowski, C. Denz, and Y. S. Kivshar, "Reducedsymmetry two-dimensional solitons in photonic lattices," Phys. Rev. Lett. 96(2), 023,905-4 (2006). URL http://link.aps.org/abstract/PRL/v96/p023905.
[CrossRef]

P. Jander, J. Schröder, T. Richter, K. Motzek, F. Kaiser, M. R. Belic, and C. Denz, "Dynamic instability of counterpropagating self-trapped beams in photorefractive media," Proc. SPIE 6255, 62,550A (2006).

P. Jander, J. Schröder, C. Denz, M. Petrovic, and M. R. Belic, "Dynamic instability of self-induced bidirectional waveguides in photorefractive media," Opt. Lett. 30, 750-752 (2005).
[CrossRef]

M. Belic, P. Jander, K. Motzek, A. Desyatnikov, D. Jovic, A. Strinic, M. Petrovic, C. Denz, and F. Kaiser, "Counterpropagating self-trapped beams in photorefractive crystals," J. Opt. B 6, S190-S196 (2004).

K. Motzek, P. Jander, A. Desyatnikov, M. Belic, C. Denz, and F. Kaiser, "Dynamic counterpropagating vector solitons in saturable self-focusing media," Phys. Rev. E 68, 066,611-4 (2003).

W. Krolikowski, B. Luther-Davies, and C. Denz, "Photorefractive Solitons," IEEE J. Sel. Top. Quantum Electron. 39, 3-12 (2003).

M. R. Belic, P. Jander, A. Strinic, A. Desyatnikov, and C. Denz, "Self-trapped bidirectional waveguides in a saturable photorefractive medium," Phys. Rev. E 68, R025,601-4 (2003).

C. Weilnau, M. Ahles, J. Petter, D. Träger, J. Schröder, and C. Denz, "Spatial optical (2+1)-dimensional scalarand vector-solitons in saturable nonlinear media," Ann. Phys. 11, 573-629 (2002).
[CrossRef]

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.

M. Belic, P. Jander, K. Motzek, A. Desyatnikov, D. Jovic, A. Strinic, M. Petrovic, C. Denz, and F. Kaiser, "Counterpropagating self-trapped beams in photorefractive crystals," J. Opt. B 6, S190-S196 (2004).

K. Motzek, P. Jander, A. Desyatnikov, M. Belic, C. Denz, and F. Kaiser, "Dynamic counterpropagating vector solitons in saturable self-focusing media," Phys. Rev. E 68, 066,611-4 (2003).

M. R. Belic, P. Jander, A. Strinic, A. Desyatnikov, and C. Denz, "Self-trapped bidirectional waveguides in a saturable photorefractive medium," Phys. Rev. E 68, R025,601-4 (2003).

Desyatnikov, A. S.

DiPorto, P.

M. Shih, M. Segev, G. Valley, G. Salomono, B. Crosignani, and P. DiPorto, "Observation of two-dimensional steady-state photorefractive screening solitons," Electron. Lett. 31(10), 826-828 (1995).
[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]

Efremidis, N. K.

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 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, 046,602-5 (2002).

Firth, W. J.

Fischer, R.

Fitzgerald, A.

Fleischer, J. W.

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, 046,602-5 (2002).

O. Cohen, R. Uzdin, T. Carmon, J. W. Fleischer, M. Segev, and S. Odoulov, "Collisions between Optical Spatial Solitons Propagating in Opposite Directions," Phys. Rev. Lett. 89, 133,901-4 (2002).

Fleischer, J.W.

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 422, 147-150 (2003).
[CrossRef]

Gamire, E.

S. Somekh, E. Gamire, A. Yariv, H. L. Garvin, and R. G. Hunsperger, "Channel optical waveguide directional couplers," Appl. Phys. Lett. 22, 46-48 (1973).
[CrossRef]

Garvin, H. L.

S. Somekh, E. Gamire, A. Yariv, H. L. Garvin, and R. G. Hunsperger, "Channel optical waveguide directional couplers," Appl. Phys. Lett. 22, 46-48 (1973).
[CrossRef]

Geddes, J. B.

J. B. Geddes, R. A. Indik, J. V. Moloney, and W. J. Firth, "Hexagons and squares in a passive nonlinear optical system," Phys. Rev. A 50, 3471-3485, (1994).
[CrossRef]

Giordmaine, J. A.

Haelterman, M.

M. Haelterman, A. P. Sheppard, and A. W. Snyder, "Bimodal counterpropagating spatial solitary-waves," Opt. Commun. 103, 145-152 (1993).
[CrossRef]

Herden, C.

D. Kip, C. Herden, and M. Wesner, "All-Optical Signal Routing Using Interaction ofMutually Incoherent Spatial Solitons," Ferroelectrics 274, 135-142 (2002).
[CrossRef]

Hunsperger, R. G.

S. Somekh, E. Gamire, A. Yariv, H. L. Garvin, and R. G. Hunsperger, "Channel optical waveguide directional couplers," Appl. Phys. Lett. 22, 46-48 (1973).
[CrossRef]

Indik, R. A.

J. B. Geddes, R. A. Indik, J. V. Moloney, and W. J. Firth, "Hexagons and squares in a passive nonlinear optical system," Phys. Rev. A 50, 3471-3485, (1994).
[CrossRef]

Jander, P.

P. Jander, J. Schröder, T. Richter, K. Motzek, F. Kaiser, M. R. Belic, and C. Denz, "Dynamic instability of counterpropagating self-trapped beams in photorefractive media," Proc. SPIE 6255, 62,550A (2006).

P. Jander, J. Schröder, C. Denz, M. Petrovic, and M. R. Belic, "Dynamic instability of self-induced bidirectional waveguides in photorefractive media," Opt. Lett. 30, 750-752 (2005).
[CrossRef]

M. Belic, P. Jander, K. Motzek, A. Desyatnikov, D. Jovic, A. Strinic, M. Petrovic, C. Denz, and F. Kaiser, "Counterpropagating self-trapped beams in photorefractive crystals," J. Opt. B 6, S190-S196 (2004).

K. Motzek, P. Jander, A. Desyatnikov, M. Belic, C. Denz, and F. Kaiser, "Dynamic counterpropagating vector solitons in saturable self-focusing media," Phys. Rev. E 68, 066,611-4 (2003).

M. R. Belic, P. Jander, A. Strinic, A. Desyatnikov, and C. Denz, "Self-trapped bidirectional waveguides in a saturable photorefractive medium," Phys. Rev. E 68, R025,601-4 (2003).

Jones, A. L.

Joseph, I. B.

Y. Silberberg and I. B. Joseph, "Instabilities, Self-Oscillation, and Chaos in a Simple Nonlinear Optical Interaction," Phys. Rev. Lett. 48, 1541-1543 (1982). URL http://link.aps.org/abstract/PRL/v48/p1541.
[CrossRef]

Joseph, R. I.

Jovic, D.

M. Belic, P. Jander, K. Motzek, A. Desyatnikov, D. Jovic, A. Strinic, M. Petrovic, C. Denz, and F. Kaiser, "Counterpropagating self-trapped beams in photorefractive crystals," J. Opt. B 6, S190-S196 (2004).

Kaiser, F.

P. Jander, J. Schröder, T. Richter, K. Motzek, F. Kaiser, M. R. Belic, and C. Denz, "Dynamic instability of counterpropagating self-trapped beams in photorefractive media," Proc. SPIE 6255, 62,550A (2006).

M. Belic, P. Jander, K. Motzek, A. Desyatnikov, D. Jovic, A. Strinic, M. Petrovic, C. Denz, and F. Kaiser, "Counterpropagating self-trapped beams in photorefractive crystals," J. Opt. B 6, S190-S196 (2004).

K. Motzek, P. Jander, A. Desyatnikov, M. Belic, C. Denz, and F. Kaiser, "Dynamic counterpropagating vector solitons in saturable self-focusing media," Phys. Rev. E 68, 066,611-4 (2003).

Kip, D.

E. Smirnov, M. Stepic, C. Ruter, V. Shandarov, and D. Kip, "Interaction of counterpropagating discrete solitons in a nonlinear one-dimensional waveguide array," Opt. Lett. 32, 512-514 (2007).
[CrossRef]

D. Kip, C. Herden, and M. Wesner, "All-Optical Signal Routing Using Interaction ofMutually Incoherent Spatial Solitons," Ferroelectrics 274, 135-142 (2002).
[CrossRef]

Kivshar, Y.

Kivshar, Y. S.

Krolikowski, W.

R. Fischer, D. Träger, D. N. Neshev, A. A. Sukhorukov, W. Krolikowski, C. Denz, and Y. S. Kivshar, "Reducedsymmetry two-dimensional solitons in photonic lattices," Phys. Rev. Lett. 96(2), 023,905-4 (2006). URL http://link.aps.org/abstract/PRL/v96/p023905.
[CrossRef]

D. Träger, R. Fischer, D. N. Neshev, A. A. Sukhorukov, C. Denz, W. Krolikowski, and Y. S. Kivshar, "Nonlinear Bloch modes in two-dimensional photonic lattices," Opt. Express 14(5), 1913-1923 (2006). URL http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-5-1913
[CrossRef]

W. Krolikowski, B. Luther-Davies, and C. Denz, "Photorefractive Solitons," IEEE J. Sel. Top. Quantum Electron. 39, 3-12 (2003).

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

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]

Lan, S.

Lederer, F.

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

Luther-Davies, B.

W. Krolikowski, B. Luther-Davies, and C. Denz, "Photorefractive Solitons," IEEE J. Sel. Top. Quantum Electron. 39, 3-12 (2003).

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]

Moloney, J. V.

J. B. Geddes, R. A. Indik, J. V. Moloney, and W. J. Firth, "Hexagons and squares in a passive nonlinear optical system," Phys. Rev. A 50, 3471-3485, (1994).
[CrossRef]

Motzek, K.

P. Jander, J. Schröder, T. Richter, K. Motzek, F. Kaiser, M. R. Belic, and C. Denz, "Dynamic instability of counterpropagating self-trapped beams in photorefractive media," Proc. SPIE 6255, 62,550A (2006).

M. Belic, P. Jander, K. Motzek, A. Desyatnikov, D. Jovic, A. Strinic, M. Petrovic, C. Denz, and F. Kaiser, "Counterpropagating self-trapped beams in photorefractive crystals," J. Opt. B 6, S190-S196 (2004).

K. Motzek, P. Jander, A. Desyatnikov, M. Belic, C. Denz, and F. Kaiser, "Dynamic counterpropagating vector solitons in saturable self-focusing media," Phys. Rev. E 68, 066,611-4 (2003).

Neshev, D.

Neshev, D. N.

Odoulov, S.

O. Cohen, R. Uzdin, T. Carmon, J. W. Fleischer, M. Segev, and S. Odoulov, "Collisions between Optical Spatial Solitons Propagating in Opposite Directions," Phys. Rev. Lett. 89, 133,901-4 (2002).

Ostrovskaya, E. A.

Pare, C.

Petrovic, M.

P. Jander, J. Schröder, C. Denz, M. Petrovic, and M. R. Belic, "Dynamic instability of self-induced bidirectional waveguides in photorefractive media," Opt. Lett. 30, 750-752 (2005).
[CrossRef]

M. Belic, P. Jander, K. Motzek, A. Desyatnikov, D. Jovic, A. Strinic, M. Petrovic, C. Denz, and F. Kaiser, "Counterpropagating self-trapped beams in photorefractive crystals," J. Opt. B 6, S190-S196 (2004).

Petter, J.

C. Weilnau, M. Ahles, J. Petter, D. Träger, J. Schröder, and C. Denz, "Spatial optical (2+1)-dimensional scalarand vector-solitons in saturable nonlinear media," Ann. Phys. 11, 573-629 (2002).
[CrossRef]

Ramazza, P.

F. T. Arecchi, S. Boccaletti, and P. Ramazza, "Pattern formation and competition in nonlinear optics," Phys. Rep. 318, 1-83 (1999).
[CrossRef]

Richter, T.

P. Jander, J. Schröder, T. Richter, K. Motzek, F. Kaiser, M. R. Belic, and C. Denz, "Dynamic instability of counterpropagating self-trapped beams in photorefractive media," Proc. SPIE 6255, 62,550A (2006).

Ruter, C.

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]

Sagemerten, N.

Salomono, G.

M. Shih, M. Segev, G. Valley, G. Salomono, B. Crosignani, and P. DiPorto, "Observation of two-dimensional steady-state photorefractive screening solitons," Electron. Lett. 31(10), 826-828 (1995).
[CrossRef]

Schröder, J.

P. Jander, J. Schröder, T. Richter, K. Motzek, F. Kaiser, M. R. Belic, and C. Denz, "Dynamic instability of counterpropagating self-trapped beams in photorefractive media," Proc. SPIE 6255, 62,550A (2006).

P. Jander, J. Schröder, C. Denz, M. Petrovic, and M. R. Belic, "Dynamic instability of self-induced bidirectional waveguides in photorefractive media," Opt. Lett. 30, 750-752 (2005).
[CrossRef]

C. Weilnau, M. Ahles, J. Petter, D. Träger, J. Schröder, and C. Denz, "Spatial optical (2+1)-dimensional scalarand vector-solitons in saturable nonlinear media," Ann. Phys. 11, 573-629 (2002).
[CrossRef]

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, 046,602-5 (2002).

Segev, M.

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 422, 147-150 (2003).
[CrossRef]

O. Cohen, R. Uzdin, T. Carmon, J. W. Fleischer, M. Segev, and S. Odoulov, "Collisions between Optical Spatial Solitons Propagating in Opposite Directions," Phys. Rev. Lett. 89, 133,901-4 (2002).

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, 046,602-5 (2002).

O. Cohen, S. Lan, T. Carmon, J. A. Giordmaine, and M. Segev, "Spatial vector solitons consisting of counterpropagating fields," Opt. Lett. 27(22), 2013 (2002).

G. I. Stegeman and M. Segev, "Optical Spatial Solitons and Their Interactions: Universality and Diversity," Science 286, 1518-1523 (1999).
[CrossRef]

M. Shih, M. Segev, G. Valley, G. Salomono, B. Crosignani, and P. DiPorto, "Observation of two-dimensional steady-state photorefractive screening solitons," Electron. Lett. 31(10), 826-828 (1995).
[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]

Shandarov, V.

Sheppard, A. P.

M. Haelterman, A. P. Sheppard, and A. W. Snyder, "Bimodal counterpropagating spatial solitary-waves," Opt. Commun. 103, 145-152 (1993).
[CrossRef]

Shih, M.

M. Shih, M. Segev, G. Valley, G. Salomono, B. Crosignani, and P. DiPorto, "Observation of two-dimensional steady-state photorefractive screening solitons," Electron. Lett. 31(10), 826-828 (1995).
[CrossRef]

Silberberg, Y.

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

Y. Silberberg and I. B. Joseph, "Instabilities, Self-Oscillation, and Chaos in a Simple Nonlinear Optical Interaction," Phys. Rev. Lett. 48, 1541-1543 (1982). URL http://link.aps.org/abstract/PRL/v48/p1541.
[CrossRef]

Singh, S.

M. Carvalho, S. Singh, and D. Christodoulides, "Self-deflection of steady-state bright spatial solitons in biased photorefractive crystals," Opt. Commun. 120(5), 311-315 (1995).
[CrossRef]

Smirnov, E.

Snyder, A. W.

M. Haelterman, A. P. Sheppard, and A. W. Snyder, "Bimodal counterpropagating spatial solitary-waves," Opt. Commun. 103, 145-152 (1993).
[CrossRef]

Somekh, S.

S. Somekh, E. Gamire, A. Yariv, H. L. Garvin, and R. G. Hunsperger, "Channel optical waveguide directional couplers," Appl. Phys. Lett. 22, 46-48 (1973).
[CrossRef]

Stegeman, G. I.

G. I. Stegeman and M. Segev, "Optical Spatial Solitons and Their Interactions: Universality and Diversity," Science 286, 1518-1523 (1999).
[CrossRef]

Stepic, M.

Strinic, A.

M. Belic, P. Jander, K. Motzek, A. Desyatnikov, D. Jovic, A. Strinic, M. Petrovic, C. Denz, and F. Kaiser, "Counterpropagating self-trapped beams in photorefractive crystals," J. Opt. B 6, S190-S196 (2004).

M. R. Belic, P. Jander, A. Strinic, A. Desyatnikov, and C. Denz, "Self-trapped bidirectional waveguides in a saturable photorefractive medium," Phys. Rev. E 68, R025,601-4 (2003).

Sukhorukov, A. A.

Träger, D.

D. Träger, R. Fischer, D. N. Neshev, A. A. Sukhorukov, C. Denz, W. Krolikowski, and Y. S. Kivshar, "Nonlinear Bloch modes in two-dimensional photonic lattices," Opt. Express 14(5), 1913-1923 (2006). URL http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-5-1913
[CrossRef]

R. Fischer, D. Träger, D. N. Neshev, A. A. Sukhorukov, W. Krolikowski, C. Denz, and Y. S. Kivshar, "Reducedsymmetry two-dimensional solitons in photonic lattices," Phys. Rev. Lett. 96(2), 023,905-4 (2006). URL http://link.aps.org/abstract/PRL/v96/p023905.
[CrossRef]

D. Träger, N. Sagemerten, and C. Denz, "Guiding of DynamicallyModulated Signals in Arrays of Photorefractive Spatial Solitons," IEEE J. Sel. Top. Quantum Electron. 12, 383-387 (2006).

A. S. Desyatnikov, D. N. Neshev, Y. S. Kivshar, N. Sagemerten, D. Träger, J. Jagers, C. Denz, and Y. V. Kartashov, "Nonlinear photonic lattices in anisotropic nonlocal self-focusing media," Opt. Lett. 30(8), 869-871 (2005). URL http://www.opticsinfobase.org/abstract.cfm?URI=ol-30-8-869
[CrossRef]

C. Weilnau, M. Ahles, J. Petter, D. Träger, J. Schröder, and C. Denz, "Spatial optical (2+1)-dimensional scalarand vector-solitons in saturable nonlinear media," Ann. Phys. 11, 573-629 (2002).
[CrossRef]

Uzdin, R.

O. Cohen, R. Uzdin, T. Carmon, J. W. Fleischer, M. Segev, and S. Odoulov, "Collisions between Optical Spatial Solitons Propagating in Opposite Directions," Phys. Rev. Lett. 89, 133,901-4 (2002).

Valley, G.

M. Shih, M. Segev, G. Valley, G. Salomono, B. Crosignani, and P. DiPorto, "Observation of two-dimensional steady-state photorefractive screening solitons," Electron. Lett. 31(10), 826-828 (1995).
[CrossRef]

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]

Weilnau, C.

C. Weilnau, M. Ahles, J. Petter, D. Träger, J. Schröder, and C. Denz, "Spatial optical (2+1)-dimensional scalarand vector-solitons in saturable nonlinear media," Ann. Phys. 11, 573-629 (2002).
[CrossRef]

Wesner, M.

D. Kip, C. Herden, and M. Wesner, "All-Optical Signal Routing Using Interaction ofMutually Incoherent Spatial Solitons," Ferroelectrics 274, 135-142 (2002).
[CrossRef]

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]

S. Somekh, E. Gamire, A. Yariv, H. L. Garvin, and R. G. Hunsperger, "Channel optical waveguide directional couplers," Appl. Phys. Lett. 22, 46-48 (1973).
[CrossRef]

Ann. Phys. (1)

C. Weilnau, M. Ahles, J. Petter, D. Träger, J. Schröder, and C. Denz, "Spatial optical (2+1)-dimensional scalarand vector-solitons in saturable nonlinear media," Ann. Phys. 11, 573-629 (2002).
[CrossRef]

Appl. Phys. Lett. (1)

S. Somekh, E. Gamire, A. Yariv, H. L. Garvin, and R. G. Hunsperger, "Channel optical waveguide directional couplers," Appl. Phys. Lett. 22, 46-48 (1973).
[CrossRef]

Electron. Lett. (1)

M. Shih, M. Segev, G. Valley, G. Salomono, B. Crosignani, and P. DiPorto, "Observation of two-dimensional steady-state photorefractive screening solitons," Electron. Lett. 31(10), 826-828 (1995).
[CrossRef]

Ferroelectrics (1)

D. Kip, C. Herden, and M. Wesner, "All-Optical Signal Routing Using Interaction ofMutually Incoherent Spatial Solitons," Ferroelectrics 274, 135-142 (2002).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron. (2)

W. Krolikowski, B. Luther-Davies, and C. Denz, "Photorefractive Solitons," IEEE J. Sel. Top. Quantum Electron. 39, 3-12 (2003).

D. Träger, N. Sagemerten, and C. Denz, "Guiding of DynamicallyModulated Signals in Arrays of Photorefractive Spatial Solitons," IEEE J. Sel. Top. Quantum Electron. 12, 383-387 (2006).

J. Opt. B (1)

M. Belic, P. Jander, K. Motzek, A. Desyatnikov, D. Jovic, A. Strinic, M. Petrovic, C. Denz, and F. Kaiser, "Counterpropagating self-trapped beams in photorefractive crystals," J. Opt. B 6, S190-S196 (2004).

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. B (1)

Nature (2)

D. N. Christodoulides, F. Lederer, and Y. Silberberg, "Discretizing light behaviour in linear and nonlinear waveguide lattices," Nature 424, 817-823 (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 422, 147-150 (2003).
[CrossRef]

Opt. Commun. (2)

M. Haelterman, A. P. Sheppard, and A. W. Snyder, "Bimodal counterpropagating spatial solitary-waves," Opt. Commun. 103, 145-152 (1993).
[CrossRef]

M. Carvalho, S. Singh, and D. Christodoulides, "Self-deflection of steady-state bright spatial solitons in biased photorefractive crystals," Opt. Commun. 120(5), 311-315 (1995).
[CrossRef]

Opt. Express (1)

Opt. Lett. (7)

Phys. Rep. (1)

F. T. Arecchi, S. Boccaletti, and P. Ramazza, "Pattern formation and competition in nonlinear optics," Phys. Rep. 318, 1-83 (1999).
[CrossRef]

Phys. Rev. A (1)

J. B. Geddes, R. A. Indik, J. V. Moloney, and W. J. Firth, "Hexagons and squares in a passive nonlinear optical system," Phys. Rev. A 50, 3471-3485, (1994).
[CrossRef]

Phys. Rev. E (3)

K. Motzek, P. Jander, A. Desyatnikov, M. Belic, C. Denz, and F. Kaiser, "Dynamic counterpropagating vector solitons in saturable self-focusing media," Phys. Rev. E 68, 066,611-4 (2003).

M. R. Belic, P. Jander, A. Strinic, A. Desyatnikov, and C. Denz, "Self-trapped bidirectional waveguides in a saturable photorefractive medium," Phys. Rev. E 68, R025,601-4 (2003).

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, 046,602-5 (2002).

Phys. Rev. Lett. (5)

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]

Y. Silberberg and I. B. Joseph, "Instabilities, Self-Oscillation, and Chaos in a Simple Nonlinear Optical Interaction," Phys. Rev. Lett. 48, 1541-1543 (1982). URL http://link.aps.org/abstract/PRL/v48/p1541.
[CrossRef]

O. Cohen, R. Uzdin, T. Carmon, J. W. Fleischer, M. Segev, and S. Odoulov, "Collisions between Optical Spatial Solitons Propagating in Opposite Directions," Phys. Rev. Lett. 89, 133,901-4 (2002).

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]

R. Fischer, D. Träger, D. N. Neshev, A. A. Sukhorukov, W. Krolikowski, C. Denz, and Y. S. Kivshar, "Reducedsymmetry two-dimensional solitons in photonic lattices," Phys. Rev. Lett. 96(2), 023,905-4 (2006). URL http://link.aps.org/abstract/PRL/v96/p023905.
[CrossRef]

Proc. SPIE (1)

P. Jander, J. Schröder, T. Richter, K. Motzek, F. Kaiser, M. R. Belic, and C. Denz, "Dynamic instability of counterpropagating self-trapped beams in photorefractive media," Proc. SPIE 6255, 62,550A (2006).

Science (1)

G. I. Stegeman and M. Segev, "Optical Spatial Solitons and Their Interactions: Universality and Diversity," Science 286, 1518-1523 (1999).
[CrossRef]

Other (9)

Y. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic Press, San Diego, 2003).

L. Solymar, D. J. Webb, and A. Grunett-Jepsen, The Physics of Photorefractive Materials, 2nd ed. (Clarendon Press, Oxford, 1996).

C. Rotschild, O. Cohen, O. Manela, T. Carmon, and M. Segev, "Interactions between spatial screening solitons propagating in opposite directions," J. Opt. Soc. Am. B 21, 1354-1357 (2004). URL http://www.opticsinfobase.org/abstract.cfm?URI=josab-21-7-1354

D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, "Gap solitons in waveguide arrays," Phys. Rev. Lett. 92(9), 093,904-4 (2004). URL http://link.aps.org/abstract/PRL/v92/p093904.

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(8), 083,905-4 (2004). URL http://link.aps.org/abstract/PRL/v93/p083905.

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, "Discrete spatial optical solitons in waveguide arrays," Phys. Rev. Lett. 81(16), 3383-3386 (1998). URL http://link.aps.org/abstract/PRL/v81/p3383.

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(2), 023,902-4 (2003). URL http://link.aps.org/abstract/PRL/v90/p023902.

G. P. Agrawal, Nonlinear Fiber Optics, 2nd ed. (Academics Press, San Diego, 1995).

M. Litzkow, M. Livny, and M. Mutka, "Condor - A Hunter of IdleWorkstations," in ICDCS, pp. 104-111 (IEEECS Press, 1988). URL http://www.cs.wisc.edu/condor/.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Metrics