Abstract

We demonstrate both theoretically and experimentally that photonic lattices under self-defocusing nonlinearity support gap solitons in various shapes such as cross and H shapes. These solitons, with their intensity humps all in-phase, are stable against perturbations, thus they propagate robustly throughout the lattices. Based on this finding, we propose soliton-based text/image transmission through bulk photonic structures.

© 2011 Optical Society of America

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    [Crossref] [PubMed]
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    [Crossref] [PubMed]
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    [Crossref] [PubMed]
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    [Crossref]
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    [Crossref] [PubMed]
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    [Crossref] [PubMed]

2010 (2)

P. Zhang, N. K. Efremidis, A. Miller, Y. Hu, and Z. Chen, Opt. Lett. 35, 3252 (2010).
[Crossref] [PubMed]

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 (3)

J. Wang, J. Yang, T. J. Alexander, and Y. S. Kivshar, Phys. Rev. A 79, 043610 (2009).
[Crossref]

C. Barsi, W. Wan, and J. W. Fleischer, Nat. Photon. 3, 211 (2009).
[Crossref]

Y. V. Kartashov, A. Szameit, V. A. Vysloukh, and L. Torner, Opt. Lett. 34, 2906 (2009).
[Crossref] [PubMed]

2007 (3)

2006 (1)

T. J. Alexander, E. A. Ostrovskaya, and Y. S. Kivshar, Phys. Rev. Lett. 96, 040401 (2006).
[Crossref] [PubMed]

2004 (1)

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

2003 (1)

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

2001 (1)

1977 (1)

A. Yariv, Opt. Commun. 21, 49 (1977).
[Crossref]

Alexander, T. J.

J. Wang, J. Yang, T. J. Alexander, and Y. S. Kivshar, Phys. Rev. A 79, 043610 (2009).
[Crossref]

T. J. Alexander, E. A. Ostrovskaya, and Y. S. Kivshar, Phys. Rev. Lett. 96, 040401 (2006).
[Crossref] [PubMed]

Anastassiou, C.

Barsi, C.

C. Barsi, W. Wan, and J. W. Fleischer, Nat. Photon. 3, 211 (2009).
[Crossref]

Chen, X.

Chen, Z.

P. Zhang, N. K. Efremidis, A. Miller, Y. Hu, and Z. Chen, Opt. Lett. 35, 3252 (2010).
[Crossref] [PubMed]

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

C. Lou, X. Wang, J. Xu, Z. Chen, and J. Yang, Phys. Rev. Lett. 98, 213903 (2007).
[Crossref] [PubMed]

L. Tang, C. Lou, X. Wang, D. Song, X. Chen, J. Xu, Z. Chen, H. Susanto, K. Law, and P. G. Kevrekidis, Opt. Lett. 32, 3011 (2007).
[Crossref] [PubMed]

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

Christodoulides, D.

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]

Efremidis, N. K.

P. Zhang, N. K. Efremidis, A. Miller, Y. Hu, and Z. Chen, Opt. Lett. 35, 3252 (2010).
[Crossref] [PubMed]

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

Eugenieva, E.

Eugenieva, E. D.

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

Fleischer, J. W.

C. Barsi, W. Wan, and J. W. Fleischer, Nat. Photon. 3, 211 (2009).
[Crossref]

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

Hu, Y.

Kartashov, Y. V.

Kevrekidis, P. G.

Kip, D.

Kivshar, Y. S.

J. Wang, J. Yang, T. J. Alexander, and Y. S. Kivshar, Phys. Rev. A 79, 043610 (2009).
[Crossref]

T. J. Alexander, E. A. Ostrovskaya, and Y. S. Kivshar, Phys. Rev. Lett. 96, 040401 (2006).
[Crossref] [PubMed]

Law, K.

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).

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).

C. Lou, X. Wang, J. Xu, Z. Chen, and J. Yang, Phys. Rev. Lett. 98, 213903 (2007).
[Crossref] [PubMed]

L. Tang, C. Lou, X. Wang, D. Song, X. Chen, J. Xu, Z. Chen, H. Susanto, K. Law, and P. G. Kevrekidis, Opt. Lett. 32, 3011 (2007).
[Crossref] [PubMed]

Martin, H.

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

Miller, A.

Ostrovskaya, E. A.

T. J. Alexander, E. A. Ostrovskaya, and Y. S. Kivshar, Phys. Rev. Lett. 96, 040401 (2006).
[Crossref] [PubMed]

Rüter, C. E.

Segev, M.

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

D. Kip, C. Anastassiou, E. Eugenieva, D. Christodoulides, and M. Segev, Opt. Lett. 26, 524 (2001).
[Crossref]

Smirnov, E.

Song, D.

Susanto, H.

Szameit, A.

Tang, L.

Torner, L.

Vysloukh, V. A.

Wan, W.

C. Barsi, W. Wan, and J. W. Fleischer, Nat. Photon. 3, 211 (2009).
[Crossref]

Wang, J.

J. Wang, J. Yang, T. J. Alexander, and Y. S. Kivshar, Phys. Rev. A 79, 043610 (2009).
[Crossref]

Wang, X.

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

C. Lou, X. Wang, J. Xu, Z. Chen, and J. Yang, Phys. Rev. Lett. 98, 213903 (2007).
[Crossref] [PubMed]

L. Tang, C. Lou, X. Wang, D. Song, X. Chen, J. Xu, Z. Chen, H. Susanto, K. Law, and P. G. Kevrekidis, Opt. Lett. 32, 3011 (2007).
[Crossref] [PubMed]

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).

C. Lou, X. Wang, J. Xu, Z. Chen, and J. Yang, Phys. Rev. Lett. 98, 213903 (2007).
[Crossref] [PubMed]

L. Tang, C. Lou, X. Wang, D. Song, X. Chen, J. Xu, Z. Chen, H. Susanto, K. Law, and P. G. Kevrekidis, Opt. Lett. 32, 3011 (2007).
[Crossref] [PubMed]

Yang, J.

J. Wang, J. Yang, T. J. Alexander, and Y. S. Kivshar, Phys. Rev. A 79, 043610 (2009).
[Crossref]

C. Lou, X. Wang, J. Xu, Z. Chen, and J. Yang, Phys. Rev. Lett. 98, 213903 (2007).
[Crossref] [PubMed]

J. Yang, Nonlinear Waves in Integrable and Nonintegrable Systems (SIAM, 2010).
[Crossref]

Yariv, A.

A. Yariv, Opt. Commun. 21, 49 (1977).
[Crossref]

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).

P. Zhang, N. K. Efremidis, A. Miller, Y. Hu, and Z. Chen, Opt. Lett. 35, 3252 (2010).
[Crossref] [PubMed]

Zhao, 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).

Nat. Photon. (1)

C. Barsi, W. Wan, and J. W. Fleischer, Nat. Photon. 3, 211 (2009).
[Crossref]

Nature (1)

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

Opt. Commun. (1)

A. Yariv, Opt. Commun. 21, 49 (1977).
[Crossref]

Opt. Lett. (5)

Phys. Rev. A (2)

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. Wang, J. Yang, T. J. Alexander, and Y. S. Kivshar, Phys. Rev. A 79, 043610 (2009).
[Crossref]

Phys. Rev. Lett. (3)

T. J. Alexander, E. A. Ostrovskaya, and Y. S. Kivshar, Phys. Rev. Lett. 96, 040401 (2006).
[Crossref] [PubMed]

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

C. Lou, X. Wang, J. Xu, Z. Chen, and J. Yang, Phys. Rev. Lett. 98, 213903 (2007).
[Crossref] [PubMed]

Other (1)

J. Yang, Nonlinear Waves in Integrable and Nonintegrable Systems (SIAM, 2010).
[Crossref]

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Figures (4)

Fig. 1
Fig. 1

(a), (e) Photonic lattice as used in our theory (a) and experiment (e); (b), (c), (d) line-soliton solutions, where (d) is the power curve, and (b), (c) show soliton profiles at marked points in (d); (f), (g) stability spectra of gap solitons in (b), (c), respectively; (h) stable (solid) and unstable (dashed) evolutions of the top hump’s intensity for solitons in (b), (c) under perturbations. Background circles in (b), (c) mark lattice sites. Shaded regions in (d) represent the first two Bloch bands.

Fig. 2
Fig. 2

(a)–(c) Three gap solitons of different shapes obtained at h = 6 and μ = 6 ; (d) stability spectrum of the H-shaped soliton in (c).

Fig. 3
Fig. 3

Experimental results on image transmission in photonic lattice [shown in Fig. 1e] under self-defocusing nonlinearity: (a) input pattern, (b) linear output without lattice, (c) linear output with lattice, (d) nonlinear output with lattice.

Fig. 4
Fig. 4

Simulations corresponding to experiments of Fig. 3: (a) input; (b), (c) linear outputs without and with lattice; (d) nonlinear output with lattice.

Equations (1)

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i U z + U x x + U y y + n ( x , y ) U | U | 2 U = 0 ,

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