Abstract

We generate optical beams analogous to the Wannier–Stark states in semiconductor superlattices and observe that the two main lobes of the WS beams self-bend (accelerate) along two opposite trajectories in a uniform one-dimensional photonic lattice. Such self-accelerating features exist only in the presence of the lattice and are not observed in a homogenous medium. Under the action of nonlinearity, however, the beam structure and acceleration cannot be preserved. Our experimental observations are in qualitative agreement with theoretical predictions.

© 2014 Optical Society of America

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  1. J. Bleuse, G. Bastard, and P. Voisin, Phys. Rev. Lett. 60, 220 (1988).
    [CrossRef]
  2. E. E. Mendez, F. Agulló-Rueda, and J. M. Hong, Phys. Rev. Lett. 60, 2426 (1988).
    [CrossRef]
  3. M. Glück, A. R. Kolovsky, and H. J. Korsch, Phys. Rep. 366, 103 (2002).
    [CrossRef]
  4. S. R. Wilkinson, C. F. Bharucha, K. W. Madison, Q. Niu, and M. G. Raizen, Phys. Rev. Lett. 76, 4512 (1996).
    [CrossRef]
  5. C. M. de Sterke, J. N. Bright, P. A. Krug, and T. E. Hammon, Phys. Rev. E 57, 2365 (1998).
    [CrossRef]
  6. U. Peschel, T. Pertsch, and F. Lederer, Opt. Lett. 23, 1701 (1998).
    [CrossRef]
  7. G. A. Siviloglou and D. N. Christodoulides, Opt. Lett. 32, 979 (2007).
    [CrossRef]
  8. G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, Phys. Rev. Lett. 99, 213901 (2007).
    [CrossRef]
  9. Y. Hu, G. Siviloglou, P. Zhang, N. Efremidis, D. Christodoulides, and Z. Chen, in Nonlinear Photonics and Novel Optical Phenomena, Z. Chen and R. Morandotti, eds. (Springer, 2012), Vol. 170, pp. 1–46.
  10. I. Kaminer, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 106, 213903 (2011).
    [CrossRef]
  11. A. Lotti, D. Faccio, A. Couairon, D. G. Papazoglou, P. Panagiotopoulos, D. Abdollahpour, and S. Tzortzakis, Phys. Rev. E 84, 021807 (2011).
    [CrossRef]
  12. Y. Hu, S. Huang, P. Zhang, C. Lou, J. Xu, and Z. Chen, Opt. Lett. 35, 3952 (2010).
    [CrossRef]
  13. I. Kaminer, R. Bekenstein, J. Nemirovsky, and M. Segev, Phys. Rev. Lett. 108, 163901 (2012).
    [CrossRef]
  14. F. Courvoisier, A. Mathis, L. Froehly, R. Giust, L. Furfaro, P. A. Lacourt, M. Jacquot, and J. M. Dudley, Opt. Lett. 37, 1736 (2012).
    [CrossRef]
  15. P. Zhang, Y. Hu, D. Cannan, A. Salandrino, T. Li, R. Morandotti, X. Zhang, and Z. Chen, Opt. Lett. 37, 2820 (2012).
    [CrossRef]
  16. I. Kaminer, J. Nemirovsky, and M. Segev, Opt. Express 20, 18827 (2012).
    [CrossRef]
  17. R. El-Ganainy, K. G. Makris, M. A. Miri, D. N. Christodoulides, and Z. Chen, Phys. Rev. A 84, 023842 (2011).
    [CrossRef]
  18. X. Qi, R. El-Ganainy, P. Zang, K. G. Makris, D. N. Christodoulides, and Z. Chen, CLEO Technical Digest (Optical Society of America, 2012), paper QM3E.2.
  19. K. G. Makris, R. El-Ganainy, X. Qi, Z. Chen, and D. N. Christodoulides, CLEO Technical Digest (Optical Society of America, 2012), paper JTu3K.6.
  20. I. D. Chremmos and N. K. Efremidis, Phys. Rev. A 85, 063830 (2012).
    [CrossRef]
  21. I. Kaminer, J. Nemirovsky, K. G. Makris, and M. Segev, Opt. Express 21, 8886 (2013).
    [CrossRef]
  22. P. Zhang, S. Huang, Y. Hu, D. Hernandez, and Z. Chen, Opt. Lett. 35, 3129 (2010).
    [CrossRef]
  23. N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, Phys. Rev. E 66, 046602 (2002).
    [CrossRef]
  24. K. G. Makris, I. Kaminer, R. El-Ganainy, N. Efremidis, Z. Chen, M. Segev, and D. N. Christodoulides, “Accelerating and diffractionless beams in optical lattices,” Opt. Lett. (to be published).

2013

2012

2011

R. El-Ganainy, K. G. Makris, M. A. Miri, D. N. Christodoulides, and Z. Chen, Phys. Rev. A 84, 023842 (2011).
[CrossRef]

I. Kaminer, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 106, 213903 (2011).
[CrossRef]

A. Lotti, D. Faccio, A. Couairon, D. G. Papazoglou, P. Panagiotopoulos, D. Abdollahpour, and S. Tzortzakis, Phys. Rev. E 84, 021807 (2011).
[CrossRef]

2010

2007

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, Phys. Rev. Lett. 99, 213901 (2007).
[CrossRef]

G. A. Siviloglou and D. N. Christodoulides, Opt. Lett. 32, 979 (2007).
[CrossRef]

2002

M. Glück, A. R. Kolovsky, and H. J. Korsch, Phys. Rep. 366, 103 (2002).
[CrossRef]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, Phys. Rev. E 66, 046602 (2002).
[CrossRef]

1998

U. Peschel, T. Pertsch, and F. Lederer, Opt. Lett. 23, 1701 (1998).
[CrossRef]

C. M. de Sterke, J. N. Bright, P. A. Krug, and T. E. Hammon, Phys. Rev. E 57, 2365 (1998).
[CrossRef]

1996

S. R. Wilkinson, C. F. Bharucha, K. W. Madison, Q. Niu, and M. G. Raizen, Phys. Rev. Lett. 76, 4512 (1996).
[CrossRef]

1988

J. Bleuse, G. Bastard, and P. Voisin, Phys. Rev. Lett. 60, 220 (1988).
[CrossRef]

E. E. Mendez, F. Agulló-Rueda, and J. M. Hong, Phys. Rev. Lett. 60, 2426 (1988).
[CrossRef]

Abdollahpour, D.

A. Lotti, D. Faccio, A. Couairon, D. G. Papazoglou, P. Panagiotopoulos, D. Abdollahpour, and S. Tzortzakis, Phys. Rev. E 84, 021807 (2011).
[CrossRef]

Agulló-Rueda, F.

E. E. Mendez, F. Agulló-Rueda, and J. M. Hong, Phys. Rev. Lett. 60, 2426 (1988).
[CrossRef]

Bastard, G.

J. Bleuse, G. Bastard, and P. Voisin, Phys. Rev. Lett. 60, 220 (1988).
[CrossRef]

Bekenstein, R.

I. Kaminer, R. Bekenstein, J. Nemirovsky, and M. Segev, Phys. Rev. Lett. 108, 163901 (2012).
[CrossRef]

Bharucha, C. F.

S. R. Wilkinson, C. F. Bharucha, K. W. Madison, Q. Niu, and M. G. Raizen, Phys. Rev. Lett. 76, 4512 (1996).
[CrossRef]

Bleuse, J.

J. Bleuse, G. Bastard, and P. Voisin, Phys. Rev. Lett. 60, 220 (1988).
[CrossRef]

Bright, J. N.

C. M. de Sterke, J. N. Bright, P. A. Krug, and T. E. Hammon, Phys. Rev. E 57, 2365 (1998).
[CrossRef]

Broky, J.

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, Phys. Rev. Lett. 99, 213901 (2007).
[CrossRef]

Cannan, D.

Chen, Z.

P. Zhang, Y. Hu, D. Cannan, A. Salandrino, T. Li, R. Morandotti, X. Zhang, and Z. Chen, Opt. Lett. 37, 2820 (2012).
[CrossRef]

R. El-Ganainy, K. G. Makris, M. A. Miri, D. N. Christodoulides, and Z. Chen, Phys. Rev. A 84, 023842 (2011).
[CrossRef]

Y. Hu, S. Huang, P. Zhang, C. Lou, J. Xu, and Z. Chen, Opt. Lett. 35, 3952 (2010).
[CrossRef]

P. Zhang, S. Huang, Y. Hu, D. Hernandez, and Z. Chen, Opt. Lett. 35, 3129 (2010).
[CrossRef]

K. G. Makris, I. Kaminer, R. El-Ganainy, N. Efremidis, Z. Chen, M. Segev, and D. N. Christodoulides, “Accelerating and diffractionless beams in optical lattices,” Opt. Lett. (to be published).

X. Qi, R. El-Ganainy, P. Zang, K. G. Makris, D. N. Christodoulides, and Z. Chen, CLEO Technical Digest (Optical Society of America, 2012), paper QM3E.2.

Y. Hu, G. Siviloglou, P. Zhang, N. Efremidis, D. Christodoulides, and Z. Chen, in Nonlinear Photonics and Novel Optical Phenomena, Z. Chen and R. Morandotti, eds. (Springer, 2012), Vol. 170, pp. 1–46.

K. G. Makris, R. El-Ganainy, X. Qi, Z. Chen, and D. N. Christodoulides, CLEO Technical Digest (Optical Society of America, 2012), paper JTu3K.6.

Chremmos, I. D.

I. D. Chremmos and N. K. Efremidis, Phys. Rev. A 85, 063830 (2012).
[CrossRef]

Christodoulides, D.

Y. Hu, G. Siviloglou, P. Zhang, N. Efremidis, D. Christodoulides, and Z. Chen, in Nonlinear Photonics and Novel Optical Phenomena, Z. Chen and R. Morandotti, eds. (Springer, 2012), Vol. 170, pp. 1–46.

Christodoulides, D. N.

R. El-Ganainy, K. G. Makris, M. A. Miri, D. N. Christodoulides, and Z. Chen, Phys. Rev. A 84, 023842 (2011).
[CrossRef]

I. Kaminer, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 106, 213903 (2011).
[CrossRef]

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, Phys. Rev. Lett. 99, 213901 (2007).
[CrossRef]

G. A. Siviloglou and D. N. Christodoulides, Opt. Lett. 32, 979 (2007).
[CrossRef]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, Phys. Rev. E 66, 046602 (2002).
[CrossRef]

K. G. Makris, R. El-Ganainy, X. Qi, Z. Chen, and D. N. Christodoulides, CLEO Technical Digest (Optical Society of America, 2012), paper JTu3K.6.

K. G. Makris, I. Kaminer, R. El-Ganainy, N. Efremidis, Z. Chen, M. Segev, and D. N. Christodoulides, “Accelerating and diffractionless beams in optical lattices,” Opt. Lett. (to be published).

X. Qi, R. El-Ganainy, P. Zang, K. G. Makris, D. N. Christodoulides, and Z. Chen, CLEO Technical Digest (Optical Society of America, 2012), paper QM3E.2.

Couairon, A.

A. Lotti, D. Faccio, A. Couairon, D. G. Papazoglou, P. Panagiotopoulos, D. Abdollahpour, and S. Tzortzakis, Phys. Rev. E 84, 021807 (2011).
[CrossRef]

Courvoisier, F.

de Sterke, C. M.

C. M. de Sterke, J. N. Bright, P. A. Krug, and T. E. Hammon, Phys. Rev. E 57, 2365 (1998).
[CrossRef]

Dogariu, A.

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, Phys. Rev. Lett. 99, 213901 (2007).
[CrossRef]

Dudley, J. M.

Efremidis, N.

K. G. Makris, I. Kaminer, R. El-Ganainy, N. Efremidis, Z. Chen, M. Segev, and D. N. Christodoulides, “Accelerating and diffractionless beams in optical lattices,” Opt. Lett. (to be published).

Y. Hu, G. Siviloglou, P. Zhang, N. Efremidis, D. Christodoulides, and Z. Chen, in Nonlinear Photonics and Novel Optical Phenomena, Z. Chen and R. Morandotti, eds. (Springer, 2012), Vol. 170, pp. 1–46.

Efremidis, N. K.

I. D. Chremmos and N. K. Efremidis, Phys. Rev. A 85, 063830 (2012).
[CrossRef]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, Phys. Rev. E 66, 046602 (2002).
[CrossRef]

El-Ganainy, R.

R. El-Ganainy, K. G. Makris, M. A. Miri, D. N. Christodoulides, and Z. Chen, Phys. Rev. A 84, 023842 (2011).
[CrossRef]

K. G. Makris, R. El-Ganainy, X. Qi, Z. Chen, and D. N. Christodoulides, CLEO Technical Digest (Optical Society of America, 2012), paper JTu3K.6.

K. G. Makris, I. Kaminer, R. El-Ganainy, N. Efremidis, Z. Chen, M. Segev, and D. N. Christodoulides, “Accelerating and diffractionless beams in optical lattices,” Opt. Lett. (to be published).

X. Qi, R. El-Ganainy, P. Zang, K. G. Makris, D. N. Christodoulides, and Z. Chen, CLEO Technical Digest (Optical Society of America, 2012), paper QM3E.2.

Faccio, D.

A. Lotti, D. Faccio, A. Couairon, D. G. Papazoglou, P. Panagiotopoulos, D. Abdollahpour, and S. Tzortzakis, Phys. Rev. E 84, 021807 (2011).
[CrossRef]

Fleischer, J. W.

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, Phys. Rev. E 66, 046602 (2002).
[CrossRef]

Froehly, L.

Furfaro, L.

Giust, R.

Glück, M.

M. Glück, A. R. Kolovsky, and H. J. Korsch, Phys. Rep. 366, 103 (2002).
[CrossRef]

Hammon, T. E.

C. M. de Sterke, J. N. Bright, P. A. Krug, and T. E. Hammon, Phys. Rev. E 57, 2365 (1998).
[CrossRef]

Hernandez, D.

Hong, J. M.

E. E. Mendez, F. Agulló-Rueda, and J. M. Hong, Phys. Rev. Lett. 60, 2426 (1988).
[CrossRef]

Hu, Y.

P. Zhang, Y. Hu, D. Cannan, A. Salandrino, T. Li, R. Morandotti, X. Zhang, and Z. Chen, Opt. Lett. 37, 2820 (2012).
[CrossRef]

P. Zhang, S. Huang, Y. Hu, D. Hernandez, and Z. Chen, Opt. Lett. 35, 3129 (2010).
[CrossRef]

Y. Hu, S. Huang, P. Zhang, C. Lou, J. Xu, and Z. Chen, Opt. Lett. 35, 3952 (2010).
[CrossRef]

Y. Hu, G. Siviloglou, P. Zhang, N. Efremidis, D. Christodoulides, and Z. Chen, in Nonlinear Photonics and Novel Optical Phenomena, Z. Chen and R. Morandotti, eds. (Springer, 2012), Vol. 170, pp. 1–46.

Huang, S.

Jacquot, M.

Kaminer, I.

I. Kaminer, J. Nemirovsky, K. G. Makris, and M. Segev, Opt. Express 21, 8886 (2013).
[CrossRef]

I. Kaminer, R. Bekenstein, J. Nemirovsky, and M. Segev, Phys. Rev. Lett. 108, 163901 (2012).
[CrossRef]

I. Kaminer, J. Nemirovsky, and M. Segev, Opt. Express 20, 18827 (2012).
[CrossRef]

I. Kaminer, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 106, 213903 (2011).
[CrossRef]

K. G. Makris, I. Kaminer, R. El-Ganainy, N. Efremidis, Z. Chen, M. Segev, and D. N. Christodoulides, “Accelerating and diffractionless beams in optical lattices,” Opt. Lett. (to be published).

Kolovsky, A. R.

M. Glück, A. R. Kolovsky, and H. J. Korsch, Phys. Rep. 366, 103 (2002).
[CrossRef]

Korsch, H. J.

M. Glück, A. R. Kolovsky, and H. J. Korsch, Phys. Rep. 366, 103 (2002).
[CrossRef]

Krug, P. A.

C. M. de Sterke, J. N. Bright, P. A. Krug, and T. E. Hammon, Phys. Rev. E 57, 2365 (1998).
[CrossRef]

Lacourt, P. A.

Lederer, F.

Li, T.

Lotti, A.

A. Lotti, D. Faccio, A. Couairon, D. G. Papazoglou, P. Panagiotopoulos, D. Abdollahpour, and S. Tzortzakis, Phys. Rev. E 84, 021807 (2011).
[CrossRef]

Lou, C.

Madison, K. W.

S. R. Wilkinson, C. F. Bharucha, K. W. Madison, Q. Niu, and M. G. Raizen, Phys. Rev. Lett. 76, 4512 (1996).
[CrossRef]

Makris, K. G.

I. Kaminer, J. Nemirovsky, K. G. Makris, and M. Segev, Opt. Express 21, 8886 (2013).
[CrossRef]

R. El-Ganainy, K. G. Makris, M. A. Miri, D. N. Christodoulides, and Z. Chen, Phys. Rev. A 84, 023842 (2011).
[CrossRef]

K. G. Makris, R. El-Ganainy, X. Qi, Z. Chen, and D. N. Christodoulides, CLEO Technical Digest (Optical Society of America, 2012), paper JTu3K.6.

X. Qi, R. El-Ganainy, P. Zang, K. G. Makris, D. N. Christodoulides, and Z. Chen, CLEO Technical Digest (Optical Society of America, 2012), paper QM3E.2.

K. G. Makris, I. Kaminer, R. El-Ganainy, N. Efremidis, Z. Chen, M. Segev, and D. N. Christodoulides, “Accelerating and diffractionless beams in optical lattices,” Opt. Lett. (to be published).

Mathis, A.

Mendez, E. E.

E. E. Mendez, F. Agulló-Rueda, and J. M. Hong, Phys. Rev. Lett. 60, 2426 (1988).
[CrossRef]

Miri, M. A.

R. El-Ganainy, K. G. Makris, M. A. Miri, D. N. Christodoulides, and Z. Chen, Phys. Rev. A 84, 023842 (2011).
[CrossRef]

Morandotti, R.

Nemirovsky, J.

Niu, Q.

S. R. Wilkinson, C. F. Bharucha, K. W. Madison, Q. Niu, and M. G. Raizen, Phys. Rev. Lett. 76, 4512 (1996).
[CrossRef]

Panagiotopoulos, P.

A. Lotti, D. Faccio, A. Couairon, D. G. Papazoglou, P. Panagiotopoulos, D. Abdollahpour, and S. Tzortzakis, Phys. Rev. E 84, 021807 (2011).
[CrossRef]

Papazoglou, D. G.

A. Lotti, D. Faccio, A. Couairon, D. G. Papazoglou, P. Panagiotopoulos, D. Abdollahpour, and S. Tzortzakis, Phys. Rev. E 84, 021807 (2011).
[CrossRef]

Pertsch, T.

Peschel, U.

Qi, X.

K. G. Makris, R. El-Ganainy, X. Qi, Z. Chen, and D. N. Christodoulides, CLEO Technical Digest (Optical Society of America, 2012), paper JTu3K.6.

X. Qi, R. El-Ganainy, P. Zang, K. G. Makris, D. N. Christodoulides, and Z. Chen, CLEO Technical Digest (Optical Society of America, 2012), paper QM3E.2.

Raizen, M. G.

S. R. Wilkinson, C. F. Bharucha, K. W. Madison, Q. Niu, and M. G. Raizen, Phys. Rev. Lett. 76, 4512 (1996).
[CrossRef]

Salandrino, A.

Sears, S.

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, Phys. Rev. E 66, 046602 (2002).
[CrossRef]

Segev, M.

I. Kaminer, J. Nemirovsky, K. G. Makris, and M. Segev, Opt. Express 21, 8886 (2013).
[CrossRef]

I. Kaminer, R. Bekenstein, J. Nemirovsky, and M. Segev, Phys. Rev. Lett. 108, 163901 (2012).
[CrossRef]

I. Kaminer, J. Nemirovsky, and M. Segev, Opt. Express 20, 18827 (2012).
[CrossRef]

I. Kaminer, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 106, 213903 (2011).
[CrossRef]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, Phys. Rev. E 66, 046602 (2002).
[CrossRef]

K. G. Makris, I. Kaminer, R. El-Ganainy, N. Efremidis, Z. Chen, M. Segev, and D. N. Christodoulides, “Accelerating and diffractionless beams in optical lattices,” Opt. Lett. (to be published).

Siviloglou, G.

Y. Hu, G. Siviloglou, P. Zhang, N. Efremidis, D. Christodoulides, and Z. Chen, in Nonlinear Photonics and Novel Optical Phenomena, Z. Chen and R. Morandotti, eds. (Springer, 2012), Vol. 170, pp. 1–46.

Siviloglou, G. A.

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, Phys. Rev. Lett. 99, 213901 (2007).
[CrossRef]

G. A. Siviloglou and D. N. Christodoulides, Opt. Lett. 32, 979 (2007).
[CrossRef]

Tzortzakis, S.

A. Lotti, D. Faccio, A. Couairon, D. G. Papazoglou, P. Panagiotopoulos, D. Abdollahpour, and S. Tzortzakis, Phys. Rev. E 84, 021807 (2011).
[CrossRef]

Voisin, P.

J. Bleuse, G. Bastard, and P. Voisin, Phys. Rev. Lett. 60, 220 (1988).
[CrossRef]

Wilkinson, S. R.

S. R. Wilkinson, C. F. Bharucha, K. W. Madison, Q. Niu, and M. G. Raizen, Phys. Rev. Lett. 76, 4512 (1996).
[CrossRef]

Xu, J.

Zang, P.

X. Qi, R. El-Ganainy, P. Zang, K. G. Makris, D. N. Christodoulides, and Z. Chen, CLEO Technical Digest (Optical Society of America, 2012), paper QM3E.2.

Zhang, P.

P. Zhang, Y. Hu, D. Cannan, A. Salandrino, T. Li, R. Morandotti, X. Zhang, and Z. Chen, Opt. Lett. 37, 2820 (2012).
[CrossRef]

P. Zhang, S. Huang, Y. Hu, D. Hernandez, and Z. Chen, Opt. Lett. 35, 3129 (2010).
[CrossRef]

Y. Hu, S. Huang, P. Zhang, C. Lou, J. Xu, and Z. Chen, Opt. Lett. 35, 3952 (2010).
[CrossRef]

Y. Hu, G. Siviloglou, P. Zhang, N. Efremidis, D. Christodoulides, and Z. Chen, in Nonlinear Photonics and Novel Optical Phenomena, Z. Chen and R. Morandotti, eds. (Springer, 2012), Vol. 170, pp. 1–46.

Zhang, X.

Opt. Express

Opt. Lett.

Phys. Rep.

M. Glück, A. R. Kolovsky, and H. J. Korsch, Phys. Rep. 366, 103 (2002).
[CrossRef]

Phys. Rev. A

R. El-Ganainy, K. G. Makris, M. A. Miri, D. N. Christodoulides, and Z. Chen, Phys. Rev. A 84, 023842 (2011).
[CrossRef]

I. D. Chremmos and N. K. Efremidis, Phys. Rev. A 85, 063830 (2012).
[CrossRef]

Phys. Rev. E

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, Phys. Rev. E 66, 046602 (2002).
[CrossRef]

C. M. de Sterke, J. N. Bright, P. A. Krug, and T. E. Hammon, Phys. Rev. E 57, 2365 (1998).
[CrossRef]

A. Lotti, D. Faccio, A. Couairon, D. G. Papazoglou, P. Panagiotopoulos, D. Abdollahpour, and S. Tzortzakis, Phys. Rev. E 84, 021807 (2011).
[CrossRef]

Phys. Rev. Lett.

I. Kaminer, R. Bekenstein, J. Nemirovsky, and M. Segev, Phys. Rev. Lett. 108, 163901 (2012).
[CrossRef]

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, Phys. Rev. Lett. 99, 213901 (2007).
[CrossRef]

S. R. Wilkinson, C. F. Bharucha, K. W. Madison, Q. Niu, and M. G. Raizen, Phys. Rev. Lett. 76, 4512 (1996).
[CrossRef]

J. Bleuse, G. Bastard, and P. Voisin, Phys. Rev. Lett. 60, 220 (1988).
[CrossRef]

E. E. Mendez, F. Agulló-Rueda, and J. M. Hong, Phys. Rev. Lett. 60, 2426 (1988).
[CrossRef]

I. Kaminer, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 106, 213903 (2011).
[CrossRef]

Other

Y. Hu, G. Siviloglou, P. Zhang, N. Efremidis, D. Christodoulides, and Z. Chen, in Nonlinear Photonics and Novel Optical Phenomena, Z. Chen and R. Morandotti, eds. (Springer, 2012), Vol. 170, pp. 1–46.

K. G. Makris, I. Kaminer, R. El-Ganainy, N. Efremidis, Z. Chen, M. Segev, and D. N. Christodoulides, “Accelerating and diffractionless beams in optical lattices,” Opt. Lett. (to be published).

X. Qi, R. El-Ganainy, P. Zang, K. G. Makris, D. N. Christodoulides, and Z. Chen, CLEO Technical Digest (Optical Society of America, 2012), paper QM3E.2.

K. G. Makris, R. El-Ganainy, X. Qi, Z. Chen, and D. N. Christodoulides, CLEO Technical Digest (Optical Society of America, 2012), paper JTu3K.6.

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Figures (5)

Fig. 1.
Fig. 1.

Numerical simulations of a WS beam in the context of coupled mode theory. (a) Computer-generated hologram on the SLM. (b) Linear propagation of a WS beam through a 1D photonic lattice. (c) The corresponding phase patterns of (b). Site, n marks the waveguide number. (White arrow marks the center of the beam.)

Fig. 2.
Fig. 2.

Schematic of the experimental setup for generation and observation of the WS beam in optically induced lattices. PBS, polarizing beam splitter; SF, spatial filter; M, amplitude mask; F, filter; L, lens; AT, attenuator; SLM, spatial light modulator; SBN, strotium barium niobate crystal. Lines and arrows in pink, red, and blue illustrate the beam paths for the lattice-inducting beam, the WS beam, and the interference reference beam, respectively.

Fig. 3.
Fig. 3.

Experimental results of a WS beam at input (left panels), propagating through a homogeneous medium (middle panels) and through an induced 1D photonic lattice (right panels). Top row shows the transverse intensity patterns; bottom row shows the corresponding interferograms for the phase measurement. (White dotted line serves as a reference line). Site n marks the waveguide number.

Fig. 4.
Fig. 4.

Theoretical plots of normalized intensity (in a.u.) of a WS beam at (a) input, (b) output after propagating through a homogeneous medium, and (c) output through a 1D photonic lattice.

Fig. 5.
Fig. 5.

Experimental results of nonlinear propagation of the WS beam. Shown are output transverse beam patterns after 1 cm propagation distance [(a) and (b)] and corresponding Fourier spectra [(d) and (e)] taken at two different bias fields of 2.0kV/cm [(a) and (d)] and 2.8kV/cm [(b) and (e)]. The white arrows mark the center of the beam. kx and ky in (d) and (e) are the axes in the momentum space. Theoretical results of output intensity profile and its Fourier spectrum are depicted in (c) and (f), respectively, as obtained from the nonlinear Schrödinger equation (with γ=1). Site, n marks the waveguide number.

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