Abstract

We demonstrate spatial soliton interaction and rotation in optically induced Bessel-like photonic lattices. Particlelike circular motion as well as planetlike orbiting of two solitons is observed under different initial excitations in the ring-shaped lattices. We show that, while small rotation/oscillation of solitons can be initiated by soliton self- bending, planetlike orbiting of a “satellite” soliton can be realized by imposing an initial angular momentum from a vortex beam. Our experimental results are corroborated by numerical simulations.

© 2010 Optical Society of America

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2010

P. Zhang, S. Liu, C. Lou, F. Xiao, X. Wang, J. Zhao, J. Xu, and Z. Chen, Phys. Rev. A 81, 041801(R) (2010).

2009

2008

2007

2006

R. Fischer, D. N. Neshev, S. Lopez-Aguayo, A. S. Desyatnikov, A. A. Sukhorukov, W. Krolikowski, and Y. S. Kivshar, Opt. Express 14, 2825 (2006).
[CrossRef] [PubMed]

X. Wang, Z. Chen, and J. Yang, Opt. Lett. 31, 1887(2006).
[CrossRef] [PubMed]

X. Wang, Z. Chen, and P. G. Kevrekidis, Phys. Rev. Lett. 96, 083904 (2006).
[CrossRef] [PubMed]

B. Freedman, G. Bartal, M. Segev, R. Lifshitz, D. N. Christodoulides, and J. W. Fleischer, Nature 440, 1166(2006).
[CrossRef] [PubMed]

2005

2004

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Phys. Rev. Lett. 93, 093904 (2004).
[CrossRef] [PubMed]

J. Meier, G. I. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 93, 093903 (2004).
[CrossRef] [PubMed]

2003

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

1999

G. I. Stegeman and M. Segev, Science 286, 1518 (1999).
[CrossRef] [PubMed]

1997

1995

M. I. Carvalho, S. R. Singh, and D. N. Christodoulides, Opt. Commun. 120, 311 (1995).
[CrossRef]

1991

Aitchison, J. S.

J. Meier, G. I. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 93, 093903 (2004).
[CrossRef] [PubMed]

J. S. Aitchison, A. M. Weiner, Y. Silberberg, D. E. Leaird, M. K. Oliver, J. L. Jackel, and P. W. Smith, Opt. Lett. 16, 15 (1991).
[CrossRef] [PubMed]

Bartal, G.

B. Freedman, G. Bartal, M. Segev, R. Lifshitz, D. N. Christodoulides, and J. W. Fleischer, Nature 440, 1166(2006).
[CrossRef] [PubMed]

Bryant, G.

Carvalho, M. I.

M. I. Carvalho, S. R. Singh, and D. N. Christodoulides, Opt. Commun. 120, 311 (1995).
[CrossRef]

Chen, Z.

Christodoulides, D. N.

B. Freedman, G. Bartal, M. Segev, R. Lifshitz, D. N. Christodoulides, and J. W. Fleischer, Nature 440, 1166(2006).
[CrossRef] [PubMed]

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

Z. Chen, M. Segev, T. Coskun, D. N. Christodoulides, and Y. Kivshar, J. Opt. Soc. Am. B 14, 3066 (1997).
[CrossRef]

M. I. Carvalho, S. R. Singh, and D. N. Christodoulides, Opt. Commun. 120, 311 (1995).
[CrossRef]

Coskun, T.

Desyatnikov, A. S.

Dreisow, F.

Fischer, R.

Fleischer, J. W.

B. Freedman, G. Bartal, M. Segev, R. Lifshitz, D. N. Christodoulides, and J. W. Fleischer, Nature 440, 1166(2006).
[CrossRef] [PubMed]

Freedman, B.

B. Freedman, G. Bartal, M. Segev, R. Lifshitz, D. N. Christodoulides, and J. W. Fleischer, Nature 440, 1166(2006).
[CrossRef] [PubMed]

Gutiérrez-Vega, J.

He, Y. J.

Y. J. He, B. A. Malomed, and H. Z. Wang, Phys. Rev. A 76, 053601 (2007).
[CrossRef]

Heinrich, M.

Hromada, I.

Jackel, J. L.

Kartashov, Y. V.

Keil, R.

Kevrekidis, P. G.

X. Wang, Z. Chen, and P. G. Kevrekidis, Phys. Rev. Lett. 96, 083904 (2006).
[CrossRef] [PubMed]

Kip, D.

Kivshar, Y.

Kivshar, Y. S.

Krolikowski, W.

Leaird, D. E.

Lederer, F.

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

Lifshitz, R.

B. Freedman, G. Bartal, M. Segev, R. Lifshitz, D. N. Christodoulides, and J. W. Fleischer, Nature 440, 1166(2006).
[CrossRef] [PubMed]

Liu, S.

P. Zhang, S. Liu, C. Lou, F. Xiao, X. Wang, J. Zhao, J. Xu, and Z. Chen, Phys. Rev. A 81, 041801(R) (2010).

Lopez-Aguayo, S.

Lou, C.

P. Zhang, S. Liu, C. Lou, F. Xiao, X. Wang, J. Zhao, J. Xu, and Z. Chen, Phys. Rev. A 81, 041801(R) (2010).

Malkova, N.

Malomed, B. A.

Y. J. He, B. A. Malomed, and H. Z. Wang, Phys. Rev. A 76, 053601 (2007).
[CrossRef]

Meier, J.

J. Meier, G. I. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 93, 093903 (2004).
[CrossRef] [PubMed]

Meng, H.

Morandotti, R.

J. Meier, G. I. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 93, 093903 (2004).
[CrossRef] [PubMed]

Neshev, D. N.

Nolte, S.

Oliver, M. K.

Ramirez, L. P. R.

Ruelas, A.

Rüter, C. E.

Salamo, G.

H. Meng, G. Salamo, M. Shih, and M. Segev, Opt. Lett. 22, 448 (1997).
[CrossRef] [PubMed]

M. Shih, M. Segev, and G. Salamo, Phys. Rev. Lett. 78, 2551 (1997).
[CrossRef]

Salgueiro, J. R.

Segev, M.

B. Freedman, G. Bartal, M. Segev, R. Lifshitz, D. N. Christodoulides, and J. W. Fleischer, Nature 440, 1166(2006).
[CrossRef] [PubMed]

G. I. Stegeman and M. Segev, Science 286, 1518 (1999).
[CrossRef] [PubMed]

M. Shih, M. Segev, and G. Salamo, Phys. Rev. Lett. 78, 2551 (1997).
[CrossRef]

H. Meng, G. Salamo, M. Shih, and M. Segev, Opt. Lett. 22, 448 (1997).
[CrossRef] [PubMed]

Z. Chen, M. Segev, T. Coskun, D. N. Christodoulides, and Y. Kivshar, J. Opt. Soc. Am. B 14, 3066 (1997).
[CrossRef]

Shandarov, V.

Shih, M.

H. Meng, G. Salamo, M. Shih, and M. Segev, Opt. Lett. 22, 448 (1997).
[CrossRef] [PubMed]

M. Shih, M. Segev, and G. Salamo, Phys. Rev. Lett. 78, 2551 (1997).
[CrossRef]

Silberberg, Y.

J. Meier, G. I. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 93, 093903 (2004).
[CrossRef] [PubMed]

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

J. S. Aitchison, A. M. Weiner, Y. Silberberg, D. E. Leaird, M. K. Oliver, J. L. Jackel, and P. W. Smith, Opt. Lett. 16, 15 (1991).
[CrossRef] [PubMed]

Singh, S. R.

M. I. Carvalho, S. R. Singh, and D. N. Christodoulides, Opt. Commun. 120, 311 (1995).
[CrossRef]

Smirnov, E.

Smith, P. W.

Stegeman, G. I.

J. Meier, G. I. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 93, 093903 (2004).
[CrossRef] [PubMed]

G. I. Stegeman and M. Segev, Science 286, 1518 (1999).
[CrossRef] [PubMed]

Stepic, M.

Sukhorukov, A. A.

Szameit, A.

Torner, L.

Tünnermann, A.

Vysloukh, V. A.

Wang, H. Z.

Y. J. He, B. A. Malomed, and H. Z. Wang, Phys. Rev. A 76, 053601 (2007).
[CrossRef]

Wang, X.

Weiner, A. M.

Xiao, F.

P. Zhang, S. Liu, C. Lou, F. Xiao, X. Wang, J. Zhao, J. Xu, and Z. Chen, Phys. Rev. A 81, 041801(R) (2010).

Xu, J.

P. Zhang, S. Liu, C. Lou, F. Xiao, X. Wang, J. Zhao, J. Xu, and Z. Chen, Phys. Rev. A 81, 041801(R) (2010).

Yang, J.

Zhang, P.

P. Zhang, S. Liu, C. Lou, F. Xiao, X. Wang, J. Zhao, J. Xu, and Z. Chen, Phys. Rev. A 81, 041801(R) (2010).

J. Opt. Soc. Am. B

Nature

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

B. Freedman, G. Bartal, M. Segev, R. Lifshitz, D. N. Christodoulides, and J. W. Fleischer, Nature 440, 1166(2006).
[CrossRef] [PubMed]

Opt. Commun.

M. I. Carvalho, S. R. Singh, and D. N. Christodoulides, Opt. Commun. 120, 311 (1995).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Rev. A

P. Zhang, S. Liu, C. Lou, F. Xiao, X. Wang, J. Zhao, J. Xu, and Z. Chen, Phys. Rev. A 81, 041801(R) (2010).

Y. J. He, B. A. Malomed, and H. Z. Wang, Phys. Rev. A 76, 053601 (2007).
[CrossRef]

Phys. Rev. Lett.

X. Wang, Z. Chen, and P. G. Kevrekidis, Phys. Rev. Lett. 96, 083904 (2006).
[CrossRef] [PubMed]

J. Meier, G. I. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 93, 093903 (2004).
[CrossRef] [PubMed]

M. Shih, M. Segev, and G. Salamo, Phys. Rev. Lett. 78, 2551 (1997).
[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Phys. Rev. Lett. 93, 093904 (2004).
[CrossRef] [PubMed]

Science

G. I. Stegeman and M. Segev, Science 286, 1518 (1999).
[CrossRef] [PubMed]

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Figures (4)

Fig. 1
Fig. 1

(a) Schematic drawing of optical induction of a Bessel-like photonic lattice. (b), (c) Input and output of the lattice-inducing beam. (d), (e) Experimental results for the in-phase and out-of-phase dipolelike soliton interaction in the ring lattice, where top and bottom panels correspond to input and output of the soliton beams, respectively.

Fig. 2
Fig. 2

Experimental (top) and numerical (bottom) results of interaction between out-of-phase solitons excited at different waveguide channels: (a) input dipole beam positioned at the fourth ring of the Bessel-like lattice; (b)–(d) nonlinear output of dipole solitons showing different diverging angles after rotating along the second, third, and fourth rings.

Fig. 3
Fig. 3

Experimental (top) and numerical (bottom) results of soliton orbiting in Bessel-like lattice when one of the solitons is excited at the center and the other at the first ring waveguide [insets in (a) show the input]: output of dipole soliton showing (a) repulsion when the lattice is absent and (b) clockwise rotation about 8 ° when the lattice is present; output of vortex-initiated dipole soliton showing (c) repulsion/rotation when the lattice is absent and (d) counterclockwise rotation about 30 ° against the rotation caused by the self-bending when the lattice is present.

Fig. 4
Fig. 4

Experimental (top) and numerical (bottom) results of soliton interaction when excited at the second and third waveguide channels of the ring lattice: (a), (b) Input and nonlinear output of two out-of-phase solitons showing rotation toward opposite directions. (c), (d) Input and nonlinear output of two in-phase solitons showing rotation toward the same direction.

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