Abstract

We study the dynamics of off-site excitation in an optically induced waveguide lattice. A single beam centered between two waveguides leads to an asymmetric beam profile as the nonlinearity reaches a threshold. When two probe beams are launched in parallel into two nearby off-site locations, they form symmetric or antisymmetric (twisted) soliton states, depending on their relative phase. A transition of intensity pattern from on-site to off-site locations is also observed as the lattice is excited by a quasi-one-dimensional plane wave.

© 2006 Optical Society of America

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    [CrossRef] [PubMed]
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    [CrossRef]

2005 (1)

F. Fedele, J. Yang, and Z. Chen, Stud. Appl. Math. 115, 279 (2005).
[CrossRef]

2004 (3)

A. A. Sukhorukov, D. Neshev, W. Krolikowski, and Y. S. Kivshar, Phys. Rev. Lett. 92, 093901 (2004).
[CrossRef] [PubMed]

H. Martin, E. D. Eugenieva, Z. Chen, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123902 (2004).
[CrossRef] [PubMed]

J. Yang, I. Makasyuk, A. Bezryadina, and Z. Chen, Opt. Lett. 29, 1662 (2004).
[CrossRef] [PubMed]

2003 (4)

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 90, 053902 (2003).
[CrossRef] [PubMed]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, Nature 422, 147 (2003).
[CrossRef] [PubMed]

D. Neshev, E. Ostrovskaya, Y. Kivshar, and W. Krolikowski, Opt. Lett. 28, 710 (2003).
[CrossRef] [PubMed]

D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature 424, 817 (2003).
[CrossRef] [PubMed]

2002 (2)

2001 (1)

P. G. Kevrekidis, K. O. Rasmussen, and A. R. Bishop, Int. J. Mod. Phys. B 15, 2833 (2001).
[CrossRef]

1999 (1)

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 2726 (1999).
[CrossRef]

1998 (2)

S. Darmanyan, A. Kobyakov, and F. Lederer, JETP 86, 682 (1998).
[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, Phys. Rev. Lett. 81, 3383 (1998).
[CrossRef]

1997 (1)

1994 (1)

1992 (1)

M. Romangoli, S. Trillo, and S. Wabnitz, Opt. Quantum Electron. 24, S1237 (1992).
[CrossRef]

1989 (1)

E. M. Wright, G. I. Stegeman, and S. Wabnitz, Phys. Rev. A 40, 4455 (1989).
[CrossRef] [PubMed]

1988 (1)

Aceves, A. B.

Aitchison, J. S.

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 90, 053902 (2003).
[CrossRef] [PubMed]

U. Peschel, R. Morandotti, J. M. Arnold, J. S. Aitchison, H. S. Eisenberg, Y. Silberberg, T. Pertsch, and F. Lederer, J. Opt. Soc. Am. B 19, 2637 (2002).
[CrossRef]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 2726 (1999).
[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, Phys. Rev. Lett. 81, 3383 (1998).
[CrossRef]

Akhmediev, N. N.

Angelis, C.

Arnold, J. M.

Bezryadina, A.

Bishop, A. R.

P. G. Kevrekidis, K. O. Rasmussen, and A. R. Bishop, Int. J. Mod. Phys. B 15, 2833 (2001).
[CrossRef]

Boyd, A. R.

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, Phys. Rev. Lett. 81, 3383 (1998).
[CrossRef]

Buryak, A. V.

Campbell, D.

D. Campbell, S. Flach, and Y. S. Kivshar, Phys. Today 57, 43 (January 2004).
[CrossRef]

Chen, Z.

F. Fedele, J. Yang, and Z. Chen, Stud. Appl. Math. 115, 279 (2005).
[CrossRef]

J. Yang, I. Makasyuk, A. Bezryadina, and Z. Chen, Opt. Lett. 29, 1662 (2004).
[CrossRef] [PubMed]

H. Martin, E. D. Eugenieva, Z. Chen, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123902 (2004).
[CrossRef] [PubMed]

Z. Chen and K. McCarthy, Opt. Lett. 27, 2019 (2002).
[CrossRef]

Christodoulides, D. N.

H. Martin, E. D. Eugenieva, Z. Chen, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123902 (2004).
[CrossRef] [PubMed]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, Nature 422, 147 (2003).
[CrossRef] [PubMed]

D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature 424, 817 (2003).
[CrossRef] [PubMed]

D. N. Christodoulides and R. I. Joseph, Opt. Lett. 13, 794 (1988).
[CrossRef] [PubMed]

Darmanyan, S.

S. Darmanyan, A. Kobyakov, and F. Lederer, JETP 86, 682 (1998).
[CrossRef]

Efremidis, N. K.

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, Nature 422, 147 (2003).
[CrossRef] [PubMed]

Eisenberg, H. S.

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 90, 053902 (2003).
[CrossRef] [PubMed]

U. Peschel, R. Morandotti, J. M. Arnold, J. S. Aitchison, H. S. Eisenberg, Y. Silberberg, T. Pertsch, and F. Lederer, J. Opt. Soc. Am. B 19, 2637 (2002).
[CrossRef]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 2726 (1999).
[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, Phys. Rev. Lett. 81, 3383 (1998).
[CrossRef]

Eugenieva, E. D.

H. Martin, E. D. Eugenieva, Z. Chen, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123902 (2004).
[CrossRef] [PubMed]

Fedele, F.

F. Fedele, J. Yang, and Z. Chen, Stud. Appl. Math. 115, 279 (2005).
[CrossRef]

Flach, S.

D. Campbell, S. Flach, and Y. S. Kivshar, Phys. Today 57, 43 (January 2004).
[CrossRef]

Fleischer, J. W.

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, Nature 422, 147 (2003).
[CrossRef] [PubMed]

Joseph, R. I.

Kevrekidis, P. G.

P. G. Kevrekidis, K. O. Rasmussen, and A. R. Bishop, Int. J. Mod. Phys. B 15, 2833 (2001).
[CrossRef]

Kivshar, Y.

Kivshar, Y. S.

D. Campbell, S. Flach, and Y. S. Kivshar, Phys. Today 57, 43 (January 2004).
[CrossRef]

A. A. Sukhorukov, D. Neshev, W. Krolikowski, and Y. S. Kivshar, Phys. Rev. Lett. 92, 093901 (2004).
[CrossRef] [PubMed]

Kobyakov, A.

S. Darmanyan, A. Kobyakov, and F. Lederer, JETP 86, 682 (1998).
[CrossRef]

Krolikowski, W.

A. A. Sukhorukov, D. Neshev, W. Krolikowski, and Y. S. Kivshar, Phys. Rev. Lett. 92, 093901 (2004).
[CrossRef] [PubMed]

D. Neshev, E. Ostrovskaya, Y. Kivshar, and W. Krolikowski, Opt. Lett. 28, 710 (2003).
[CrossRef] [PubMed]

Lederer, F.

D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature 424, 817 (2003).
[CrossRef] [PubMed]

U. Peschel, R. Morandotti, J. M. Arnold, J. S. Aitchison, H. S. Eisenberg, Y. Silberberg, T. Pertsch, and F. Lederer, J. Opt. Soc. Am. B 19, 2637 (2002).
[CrossRef]

S. Darmanyan, A. Kobyakov, and F. Lederer, JETP 86, 682 (1998).
[CrossRef]

Makasyuk, I.

Mandelik, D.

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 90, 053902 (2003).
[CrossRef] [PubMed]

Martin, H.

H. Martin, E. D. Eugenieva, Z. Chen, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123902 (2004).
[CrossRef] [PubMed]

McCarthy, K.

Morandotti, R.

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 90, 053902 (2003).
[CrossRef] [PubMed]

U. Peschel, R. Morandotti, J. M. Arnold, J. S. Aitchison, H. S. Eisenberg, Y. Silberberg, T. Pertsch, and F. Lederer, J. Opt. Soc. Am. B 19, 2637 (2002).
[CrossRef]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 2726 (1999).
[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, Phys. Rev. Lett. 81, 3383 (1998).
[CrossRef]

Neshev, D.

A. A. Sukhorukov, D. Neshev, W. Krolikowski, and Y. S. Kivshar, Phys. Rev. Lett. 92, 093901 (2004).
[CrossRef] [PubMed]

D. Neshev, E. Ostrovskaya, Y. Kivshar, and W. Krolikowski, Opt. Lett. 28, 710 (2003).
[CrossRef] [PubMed]

Ostrovskaya, E.

Pertsch, T.

Peschel, U.

Rasmussen, K. O.

P. G. Kevrekidis, K. O. Rasmussen, and A. R. Bishop, Int. J. Mod. Phys. B 15, 2833 (2001).
[CrossRef]

Romangoli, M.

M. Romangoli, S. Trillo, and S. Wabnitz, Opt. Quantum Electron. 24, S1237 (1992).
[CrossRef]

Santagiustina, M.

Segev, M.

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, Nature 422, 147 (2003).
[CrossRef] [PubMed]

Silberberg, Y.

D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature 424, 817 (2003).
[CrossRef] [PubMed]

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 90, 053902 (2003).
[CrossRef] [PubMed]

U. Peschel, R. Morandotti, J. M. Arnold, J. S. Aitchison, H. S. Eisenberg, Y. Silberberg, T. Pertsch, and F. Lederer, J. Opt. Soc. Am. B 19, 2637 (2002).
[CrossRef]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 2726 (1999).
[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, Phys. Rev. Lett. 81, 3383 (1998).
[CrossRef]

Stegeman, G. I.

E. M. Wright, G. I. Stegeman, and S. Wabnitz, Phys. Rev. A 40, 4455 (1989).
[CrossRef] [PubMed]

Sukhorukov, A. A.

A. A. Sukhorukov, D. Neshev, W. Krolikowski, and Y. S. Kivshar, Phys. Rev. Lett. 92, 093901 (2004).
[CrossRef] [PubMed]

Trillo, S.

M. Romangoli, S. Trillo, and S. Wabnitz, Opt. Quantum Electron. 24, S1237 (1992).
[CrossRef]

Wabnitz, S.

M. Romangoli, S. Trillo, and S. Wabnitz, Opt. Quantum Electron. 24, S1237 (1992).
[CrossRef]

E. M. Wright, G. I. Stegeman, and S. Wabnitz, Phys. Rev. A 40, 4455 (1989).
[CrossRef] [PubMed]

Wright, E. M.

E. M. Wright, G. I. Stegeman, and S. Wabnitz, Phys. Rev. A 40, 4455 (1989).
[CrossRef] [PubMed]

Yang, J.

Int. J. Mod. Phys. B (1)

P. G. Kevrekidis, K. O. Rasmussen, and A. R. Bishop, Int. J. Mod. Phys. B 15, 2833 (2001).
[CrossRef]

J. Opt. Soc. Am. B (3)

JETP (1)

S. Darmanyan, A. Kobyakov, and F. Lederer, JETP 86, 682 (1998).
[CrossRef]

Nature (2)

D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature 424, 817 (2003).
[CrossRef] [PubMed]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, Nature 422, 147 (2003).
[CrossRef] [PubMed]

Opt. Lett. (4)

Opt. Quantum Electron. (1)

M. Romangoli, S. Trillo, and S. Wabnitz, Opt. Quantum Electron. 24, S1237 (1992).
[CrossRef]

Phys. Rev. A (1)

E. M. Wright, G. I. Stegeman, and S. Wabnitz, Phys. Rev. A 40, 4455 (1989).
[CrossRef] [PubMed]

Phys. Rev. Lett. (5)

H. Martin, E. D. Eugenieva, Z. Chen, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123902 (2004).
[CrossRef] [PubMed]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 2726 (1999).
[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, Phys. Rev. Lett. 81, 3383 (1998).
[CrossRef]

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 90, 053902 (2003).
[CrossRef] [PubMed]

A. A. Sukhorukov, D. Neshev, W. Krolikowski, and Y. S. Kivshar, Phys. Rev. Lett. 92, 093901 (2004).
[CrossRef] [PubMed]

Phys. Today (1)

D. Campbell, S. Flach, and Y. S. Kivshar, Phys. Today 57, 43 (January 2004).
[CrossRef]

Stud. Appl. Math. (1)

F. Fedele, J. Yang, and Z. Chen, Stud. Appl. Math. 115, 279 (2005).
[CrossRef]

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Figures (5)

Fig. 1
Fig. 1

Illustration of input locations of probe beams in a two-dimensional waveguide lattice.

Fig. 2
Fig. 2

(Color online) Off-site probing with a single Gaussian beam at 488 (top) and 632.8 (bottom) nm. a–h, Output intensity patterns of the probe beam at intensities (normalized to the lattice intensity) of a, 0.1; b, 0.2; c, 0.4; d, 0.5; e, 0.2; f, 0.4; g, 1.0; h, 2.0.

Fig. 3
Fig. 3

(Color online) Left, off-site probing with two mutually incoherent beams. a, b, Output of a beam alone; c, d, output of two combined beams at 1 and 30 s , respectively. Right, numerical simulation of a single probe beam launched initially in the middle of two lattice sites located at x = 3.0 and x = 3.0 for 250 spatial steps of evolution (corresponding to 50 cm propagation distance).

Fig. 4
Fig. 4

(Color online) Off-site probing with two mutually coherent beams. Shown are the combined output beam profile (left) and the intensity pattern (middle) for, a, in-phase and, b, out-of-phase excitation. Right, simulation of dynamic evolution of two in-phase and out-of-phase beams launched at two off-site locations ( x = 1.5 and x = 1.5 ).

Fig. 5
Fig. 5

(Color online) Probing with a stripe beam: a, combined input of lattice and stripe beams; b–d, output of the stripe beam at normalized intensities of b, 0.2 and 0.8 after c, 1 s and, d, 30 s .

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