Abstract

We investigate linear and nonlinear light propagation at the interface of two one-dimensional homogeneous waveguide arrays containing a single defect of different strength. For the linear case and in a limited region of the defect size, we find trapped staggered and unstaggered modes. In the nonlinear case, we study the dependence of power thresholds for discrete soliton formation in different channels as a function of defect strength. All experimental results are confirmed theoretically using an adequate discrete model.

© 2011 OSA

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    [CrossRef] [PubMed]
  5. H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Diffraction management,” Phys. Rev. Lett. 85(9), 1863–1866 (2000).
    [CrossRef] [PubMed]
  6. K. Shandarova, C. E. Rüter, D. Kip, K. G. Makris, D. N. Christodoulides, O. Peleg, and M. Segev, “Experimental observation of Rabi oscillations in photonic lattices,” Phys. Rev. Lett. 102(12), 123905 (2009).
    [CrossRef] [PubMed]
  7. 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).
    [CrossRef]
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    [CrossRef] [PubMed]
  9. J. W. Fleischer, G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, “Spatial photonics in nonlinear waveguide arrays,” Opt. Express 13(6), 1780–1796 (2005).
    [CrossRef] [PubMed]
  10. F. Chen, M. Stepić, C. E. Rüter, D. Runde, D. Kip, V. Shandarov, O. Manela, and M. Segev, “Discrete diffraction and spatial gap solitons in photovoltaic LiNbO3 waveguide arrays,” Opt. Express 13(11), 4314–4324 (2005).
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  12. M. Stepić, C. Wirth, C. E. Rüter, and D. Kip, “Observation of modulational instability in discrete media with self-defocusing nonlinearity,” Opt. Lett. 31(2), 247–249 (2006).
    [CrossRef] [PubMed]
  13. 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), 023902 (2003).
    [CrossRef] [PubMed]
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  15. S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Haché, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, “Observation of discrete surface solitons,” Phys. Rev. Lett. 96(6), 063901 (2006).
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    [CrossRef] [PubMed]
  19. H. Trompeter, U. Peschel, T. Pertsch, F. Lederer, U. Streppel, D. Michaelis, and A. Bräuer, “Tailoring guided modes in waveguide arrays,” Opt. Express 11(25), 3404–3411 (2003).
    [CrossRef] [PubMed]
  20. F. Fedele, J. K. Yang, and Z. G. Chen, “Defect modes in one-dimensional photonic lattices,” Opt. Lett. 30(12), 1506–1508 (2005).
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  21. A. Szameit, I. L. Garanovich, M. Heinrich, A. A. Sukhorukov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and Y. S. Kivshar, “Observation of defect-free surface modes in optical waveguide arrays,” Phys. Rev. Lett. 101(20), 203902 (2008).
    [CrossRef] [PubMed]
  22. K. G. Makris, J. Hudock, D. N. Christodoulides, G. I. Stegeman, O. Manela, and M. Segev, “Surface lattice solitons,” Opt. Lett. 31(18), 2774–2776 (2006).
    [CrossRef] [PubMed]
  23. M. I. Molina and Y. S. Kivshar, “Nonlinear localized modes at phase-slip defects in waveguide arrays,” Opt. Lett. 33(9), 917–919 (2008).
    [CrossRef] [PubMed]
  24. M. I. Molina and Yu. S. Kivshar, “Interface localized modes and hybrid lattice solitons in waveguide arrays,” Phys. Lett. A 362(4), 280–282 (2007).
    [CrossRef]
  25. Y. Hu, R. Egger, P. Zhang, X. S. Wang, and Z. G. Chen, “Interface solitons excited between a simple lattice and a superlattice,” Opt. Express 18(14), 14679–14684 (2010).
    [CrossRef] [PubMed]
  26. Z. Y. Xu, M. I. Molina, and Yu. S. Kivshar, “Interface solitons in quadratic nonlinear photonic lattices,” Phys. Rev. A 80(1), 013817 (2009).
    [CrossRef]
  27. S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Arès, C. E. Rüter, and D. Kip, “Optical modes at the interface between two dissimilar discrete meta-materials,” Opt. Express 15(8), 4663–4670 (2007).
    [CrossRef] [PubMed]
  28. A. Szameit, Y. V. Kartashov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and L. Torner, “Observation of two-dimensional surface solitons in asymmetric waveguide arrays,” Phys. Rev. Lett. 98(17), 173903 (2007).
    [CrossRef]
  29. S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Arès, E. H. Yang, and G. Salamo, “Optical spatial solitons at the interface between two dissimilar periodic media: theory and experiment,” Opt. Express 16(14), 10480–10492 (2008).
    [CrossRef] [PubMed]
  30. M. Stepić, D. Kip, Lj. Hadžievski, and A. Maluckov, “One-dimensional bright discrete solitons in media with saturable nonlinearity,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 69(6 Pt 2), 066618 (2004).
    [CrossRef] [PubMed]
  31. E. Smirnov, C. E. Rüter, M. Stepić, V. Shandarov, and D. Kip, “Dark and bright blocker soliton interaction in defocusing waveguide arrays,” Opt. Express 14(23), 11248–11255 (2006).
    [CrossRef] [PubMed]
  32. M. Stepi, E. Smirnov, C. E. Rüter, D. Kip, A. Maluckov, and L. O. Hadžievski, “Tamm oscillations in semi-infinite nonlinear waveguide arrays,” Opt. Lett. 32(7), 823–825 (2007).
    [CrossRef] [PubMed]

2010 (1)

Y. Hu, R. Egger, P. Zhang, X. S. Wang, and Z. G. Chen, “Interface solitons excited between a simple lattice and a superlattice,” Opt. Express 18(14), 14679–14684 (2010).
[CrossRef] [PubMed]

2009 (3)

Z. Y. Xu, M. I. Molina, and Yu. S. Kivshar, “Interface solitons in quadratic nonlinear photonic lattices,” Phys. Rev. A 80(1), 013817 (2009).
[CrossRef]

K. Shandarova, C. E. Rüter, D. Kip, K. G. Makris, D. N. Christodoulides, O. Peleg, and M. Segev, “Experimental observation of Rabi oscillations in photonic lattices,” Phys. Rev. Lett. 102(12), 123905 (2009).
[CrossRef] [PubMed]

N. Malkova, I. Hromada, X. S. Wang, G. Bryant, and Z. G. Chen, “Observation of optical Shockley-like surface states in photonic superlattices,” Opt. Lett. 34(11), 1633–1635 (2009).
[CrossRef] [PubMed]

2008 (4)

R. Dong, C. E. Rüter, D. Kip, O. Manela, M. Segev, C. Yang, and J. Xu, “Spatial frequency combs and supercontinuum generation in one-dimensional photonic lattices,” Phys. Rev. Lett. 101(18), 183903 (2008).
[CrossRef] [PubMed]

A. Szameit, I. L. Garanovich, M. Heinrich, A. A. Sukhorukov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and Y. S. Kivshar, “Observation of defect-free surface modes in optical waveguide arrays,” Phys. Rev. Lett. 101(20), 203902 (2008).
[CrossRef] [PubMed]

M. I. Molina and Y. S. Kivshar, “Nonlinear localized modes at phase-slip defects in waveguide arrays,” Opt. Lett. 33(9), 917–919 (2008).
[CrossRef] [PubMed]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Arès, E. H. Yang, and G. Salamo, “Optical spatial solitons at the interface between two dissimilar periodic media: theory and experiment,” Opt. Express 16(14), 10480–10492 (2008).
[CrossRef] [PubMed]

2007 (4)

M. Stepi, E. Smirnov, C. E. Rüter, D. Kip, A. Maluckov, and L. O. Hadžievski, “Tamm oscillations in semi-infinite nonlinear waveguide arrays,” Opt. Lett. 32(7), 823–825 (2007).
[CrossRef] [PubMed]

M. I. Molina and Yu. S. Kivshar, “Interface localized modes and hybrid lattice solitons in waveguide arrays,” Phys. Lett. A 362(4), 280–282 (2007).
[CrossRef]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Arès, C. E. Rüter, and D. Kip, “Optical modes at the interface between two dissimilar discrete meta-materials,” Opt. Express 15(8), 4663–4670 (2007).
[CrossRef] [PubMed]

A. Szameit, Y. V. Kartashov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and L. Torner, “Observation of two-dimensional surface solitons in asymmetric waveguide arrays,” Phys. Rev. Lett. 98(17), 173903 (2007).
[CrossRef]

2006 (6)

K. G. Makris, J. Hudock, D. N. Christodoulides, G. I. Stegeman, O. Manela, and M. Segev, “Surface lattice solitons,” Opt. Lett. 31(18), 2774–2776 (2006).
[CrossRef] [PubMed]

E. Smirnov, C. E. Rüter, M. Stepić, V. Shandarov, and D. Kip, “Dark and bright blocker soliton interaction in defocusing waveguide arrays,” Opt. Express 14(23), 11248–11255 (2006).
[CrossRef] [PubMed]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Haché, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, “Observation of discrete surface solitons,” Phys. Rev. Lett. 96(6), 063901 (2006).
[CrossRef] [PubMed]

E. Smirnov, M. Stepić, C. E. Rüter, D. Kip, and V. Shandarov, “Observation of staggered surface solitary waves in one-dimensional waveguide arrays,” Opt. Lett. 31(15), 2338–2340 (2006).
[CrossRef] [PubMed]

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, “Observation of surface gap solitons in semi-infinite waveguide arrays,” Phys. Rev. Lett. 97(8), 083901 (2006).
[CrossRef] [PubMed]

M. Stepić, C. Wirth, C. E. Rüter, and D. Kip, “Observation of modulational instability in discrete media with self-defocusing nonlinearity,” Opt. Lett. 31(2), 247–249 (2006).
[CrossRef] [PubMed]

2005 (3)

J. W. Fleischer, G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, “Spatial photonics in nonlinear waveguide arrays,” Opt. Express 13(6), 1780–1796 (2005).
[CrossRef] [PubMed]

F. Chen, M. Stepić, C. E. Rüter, D. Runde, D. Kip, V. Shandarov, O. Manela, and M. Segev, “Discrete diffraction and spatial gap solitons in photovoltaic LiNbO3 waveguide arrays,” Opt. Express 13(11), 4314–4324 (2005).
[CrossRef] [PubMed]

F. Fedele, J. K. Yang, and Z. G. Chen, “Defect modes in one-dimensional photonic lattices,” Opt. Lett. 30(12), 1506–1508 (2005).
[CrossRef] [PubMed]

2004 (2)

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. G. Chen, “Observation of discrete vortex solitons in optically induced photonic lattices,” Phys. Rev. Lett. 92(12), 123903 (2004).
[CrossRef] [PubMed]

M. Stepić, D. Kip, Lj. Hadžievski, and A. Maluckov, “One-dimensional bright discrete solitons in media with saturable nonlinearity,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 69(6 Pt 2), 066618 (2004).
[CrossRef] [PubMed]

2003 (4)

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), 023902 (2003).
[CrossRef] [PubMed]

D. N. Christodoulides, F. Lederer, and Y. Silberberg, “Discretizing light behaviour in linear and nonlinear waveguide lattices,” Nature 424(6950), 817–823 (2003).
[CrossRef] [PubMed]

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(6928), 147–150 (2003).
[CrossRef] [PubMed]

H. Trompeter, U. Peschel, T. Pertsch, F. Lederer, U. Streppel, D. Michaelis, and A. Bräuer, “Tailoring guided modes in waveguide arrays,” Opt. Express 11(25), 3404–3411 (2003).
[CrossRef] [PubMed]

2001 (1)

R. Morandotti, H. S. Eisenberg, Y. Silberberg, M. Sorel, and J. S. Aitchison, “Self-focusing and defocusing in waveguide arrays,” Phys. Rev. Lett. 86(15), 3296–3299 (2001).
[CrossRef] [PubMed]

2000 (1)

H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Diffraction management,” Phys. Rev. Lett. 85(9), 1863–1866 (2000).
[CrossRef] [PubMed]

1998 (1)

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).
[CrossRef]

Aimez, V.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Arès, E. H. Yang, and G. Salamo, “Optical spatial solitons at the interface between two dissimilar periodic media: theory and experiment,” Opt. Express 16(14), 10480–10492 (2008).
[CrossRef] [PubMed]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Arès, C. E. Rüter, and D. Kip, “Optical modes at the interface between two dissimilar discrete meta-materials,” Opt. Express 15(8), 4663–4670 (2007).
[CrossRef] [PubMed]

Aitchison, J. S.

R. Morandotti, H. S. Eisenberg, Y. Silberberg, M. Sorel, and J. S. Aitchison, “Self-focusing and defocusing in waveguide arrays,” Phys. Rev. Lett. 86(15), 3296–3299 (2001).
[CrossRef] [PubMed]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Diffraction management,” Phys. Rev. Lett. 85(9), 1863–1866 (2000).
[CrossRef] [PubMed]

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).
[CrossRef]

Alexander, T. J.

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. G. Chen, “Observation of discrete vortex solitons in optically induced photonic lattices,” Phys. Rev. Lett. 92(12), 123903 (2004).
[CrossRef] [PubMed]

Arès, R.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Arès, E. H. Yang, and G. Salamo, “Optical spatial solitons at the interface between two dissimilar periodic media: theory and experiment,” Opt. Express 16(14), 10480–10492 (2008).
[CrossRef] [PubMed]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Arès, C. E. Rüter, and D. Kip, “Optical modes at the interface between two dissimilar discrete meta-materials,” Opt. Express 15(8), 4663–4670 (2007).
[CrossRef] [PubMed]

Bartal, G.

J. W. Fleischer, G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, “Spatial photonics in nonlinear waveguide arrays,” Opt. Express 13(6), 1780–1796 (2005).
[CrossRef] [PubMed]

Boyd, A. R.

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).
[CrossRef]

Bräuer, A.

H. Trompeter, U. Peschel, T. Pertsch, F. Lederer, U. Streppel, D. Michaelis, and A. Bräuer, “Tailoring guided modes in waveguide arrays,” Opt. Express 11(25), 3404–3411 (2003).
[CrossRef] [PubMed]

Bryant, G.

N. Malkova, I. Hromada, X. S. Wang, G. Bryant, and Z. G. Chen, “Observation of optical Shockley-like surface states in photonic superlattices,” Opt. Lett. 34(11), 1633–1635 (2009).
[CrossRef] [PubMed]

Buljan, H.

J. W. Fleischer, G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, “Spatial photonics in nonlinear waveguide arrays,” Opt. Express 13(6), 1780–1796 (2005).
[CrossRef] [PubMed]

Carmon, T.

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), 023902 (2003).
[CrossRef] [PubMed]

Chen, F.

F. Chen, M. Stepić, C. E. Rüter, D. Runde, D. Kip, V. Shandarov, O. Manela, and M. Segev, “Discrete diffraction and spatial gap solitons in photovoltaic LiNbO3 waveguide arrays,” Opt. Express 13(11), 4314–4324 (2005).
[CrossRef] [PubMed]

Chen, Z. G.

Y. Hu, R. Egger, P. Zhang, X. S. Wang, and Z. G. Chen, “Interface solitons excited between a simple lattice and a superlattice,” Opt. Express 18(14), 14679–14684 (2010).
[CrossRef] [PubMed]

N. Malkova, I. Hromada, X. S. Wang, G. Bryant, and Z. G. Chen, “Observation of optical Shockley-like surface states in photonic superlattices,” Opt. Lett. 34(11), 1633–1635 (2009).
[CrossRef] [PubMed]

F. Fedele, J. K. Yang, and Z. G. Chen, “Defect modes in one-dimensional photonic lattices,” Opt. Lett. 30(12), 1506–1508 (2005).
[CrossRef] [PubMed]

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. G. Chen, “Observation of discrete vortex solitons in optically induced photonic lattices,” Phys. Rev. Lett. 92(12), 123903 (2004).
[CrossRef] [PubMed]

Christodoulides, D. N.

K. Shandarova, C. E. Rüter, D. Kip, K. G. Makris, D. N. Christodoulides, O. Peleg, and M. Segev, “Experimental observation of Rabi oscillations in photonic lattices,” Phys. Rev. Lett. 102(12), 123905 (2009).
[CrossRef] [PubMed]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Arès, E. H. Yang, and G. Salamo, “Optical spatial solitons at the interface between two dissimilar periodic media: theory and experiment,” Opt. Express 16(14), 10480–10492 (2008).
[CrossRef] [PubMed]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Arès, C. E. Rüter, and D. Kip, “Optical modes at the interface between two dissimilar discrete meta-materials,” Opt. Express 15(8), 4663–4670 (2007).
[CrossRef] [PubMed]

K. G. Makris, J. Hudock, D. N. Christodoulides, G. I. Stegeman, O. Manela, and M. Segev, “Surface lattice solitons,” Opt. Lett. 31(18), 2774–2776 (2006).
[CrossRef] [PubMed]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Haché, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, “Observation of discrete surface solitons,” Phys. Rev. Lett. 96(6), 063901 (2006).
[CrossRef] [PubMed]

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), 023902 (2003).
[CrossRef] [PubMed]

D. N. Christodoulides, F. Lederer, and Y. Silberberg, “Discretizing light behaviour in linear and nonlinear waveguide lattices,” Nature 424(6950), 817–823 (2003).
[CrossRef] [PubMed]

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(6928), 147–150 (2003).
[CrossRef] [PubMed]

Cohen, O.

J. W. Fleischer, G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, “Spatial photonics in nonlinear waveguide arrays,” Opt. Express 13(6), 1780–1796 (2005).
[CrossRef] [PubMed]

Dong, R.

R. Dong, C. E. Rüter, D. Kip, O. Manela, M. Segev, C. Yang, and J. Xu, “Spatial frequency combs and supercontinuum generation in one-dimensional photonic lattices,” Phys. Rev. Lett. 101(18), 183903 (2008).
[CrossRef] [PubMed]

Dreisow, F.

A. Szameit, I. L. Garanovich, M. Heinrich, A. A. Sukhorukov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and Y. S. Kivshar, “Observation of defect-free surface modes in optical waveguide arrays,” Phys. Rev. Lett. 101(20), 203902 (2008).
[CrossRef] [PubMed]

A. Szameit, Y. V. Kartashov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and L. Torner, “Observation of two-dimensional surface solitons in asymmetric waveguide arrays,” Phys. Rev. Lett. 98(17), 173903 (2007).
[CrossRef]

Efremidis, N. K.

J. W. Fleischer, G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, “Spatial photonics in nonlinear waveguide arrays,” Opt. Express 13(6), 1780–1796 (2005).
[CrossRef] [PubMed]

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(6928), 147–150 (2003).
[CrossRef] [PubMed]

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), 023902 (2003).
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Egger, R.

Y. Hu, R. Egger, P. Zhang, X. S. Wang, and Z. G. Chen, “Interface solitons excited between a simple lattice and a superlattice,” Opt. Express 18(14), 14679–14684 (2010).
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Eisenberg, H. S.

R. Morandotti, H. S. Eisenberg, Y. Silberberg, M. Sorel, and J. S. Aitchison, “Self-focusing and defocusing in waveguide arrays,” Phys. Rev. Lett. 86(15), 3296–3299 (2001).
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H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Diffraction management,” Phys. Rev. Lett. 85(9), 1863–1866 (2000).
[CrossRef] [PubMed]

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).
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Fedele, F.

F. Fedele, J. K. Yang, and Z. G. Chen, “Defect modes in one-dimensional photonic lattices,” Opt. Lett. 30(12), 1506–1508 (2005).
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Fleischer, J. W.

J. W. Fleischer, G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, “Spatial photonics in nonlinear waveguide arrays,” Opt. Express 13(6), 1780–1796 (2005).
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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(6928), 147–150 (2003).
[CrossRef] [PubMed]

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), 023902 (2003).
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Freedman, B.

J. W. Fleischer, G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, “Spatial photonics in nonlinear waveguide arrays,” Opt. Express 13(6), 1780–1796 (2005).
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Garanovich, I. L.

A. Szameit, I. L. Garanovich, M. Heinrich, A. A. Sukhorukov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and Y. S. Kivshar, “Observation of defect-free surface modes in optical waveguide arrays,” Phys. Rev. Lett. 101(20), 203902 (2008).
[CrossRef] [PubMed]

Haché, A.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Haché, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, “Observation of discrete surface solitons,” Phys. Rev. Lett. 96(6), 063901 (2006).
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M. Stepi, E. Smirnov, C. E. Rüter, D. Kip, A. Maluckov, and L. O. Hadžievski, “Tamm oscillations in semi-infinite nonlinear waveguide arrays,” Opt. Lett. 32(7), 823–825 (2007).
[CrossRef] [PubMed]

Hadžievski, Lj.

M. Stepić, D. Kip, Lj. Hadžievski, and A. Maluckov, “One-dimensional bright discrete solitons in media with saturable nonlinearity,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 69(6 Pt 2), 066618 (2004).
[CrossRef] [PubMed]

Heinrich, M.

A. Szameit, I. L. Garanovich, M. Heinrich, A. A. Sukhorukov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and Y. S. Kivshar, “Observation of defect-free surface modes in optical waveguide arrays,” Phys. Rev. Lett. 101(20), 203902 (2008).
[CrossRef] [PubMed]

Hromada, I.

N. Malkova, I. Hromada, X. S. Wang, G. Bryant, and Z. G. Chen, “Observation of optical Shockley-like surface states in photonic superlattices,” Opt. Lett. 34(11), 1633–1635 (2009).
[CrossRef] [PubMed]

Hu, Y.

Y. Hu, R. Egger, P. Zhang, X. S. Wang, and Z. G. Chen, “Interface solitons excited between a simple lattice and a superlattice,” Opt. Express 18(14), 14679–14684 (2010).
[CrossRef] [PubMed]

Hudock, J.

K. G. Makris, J. Hudock, D. N. Christodoulides, G. I. Stegeman, O. Manela, and M. Segev, “Surface lattice solitons,” Opt. Lett. 31(18), 2774–2776 (2006).
[CrossRef] [PubMed]

Kartashov, Y. V.

A. Szameit, Y. V. Kartashov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and L. Torner, “Observation of two-dimensional surface solitons in asymmetric waveguide arrays,” Phys. Rev. Lett. 98(17), 173903 (2007).
[CrossRef]

Kip, D.

K. Shandarova, C. E. Rüter, D. Kip, K. G. Makris, D. N. Christodoulides, O. Peleg, and M. Segev, “Experimental observation of Rabi oscillations in photonic lattices,” Phys. Rev. Lett. 102(12), 123905 (2009).
[CrossRef] [PubMed]

R. Dong, C. E. Rüter, D. Kip, O. Manela, M. Segev, C. Yang, and J. Xu, “Spatial frequency combs and supercontinuum generation in one-dimensional photonic lattices,” Phys. Rev. Lett. 101(18), 183903 (2008).
[CrossRef] [PubMed]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Arès, C. E. Rüter, and D. Kip, “Optical modes at the interface between two dissimilar discrete meta-materials,” Opt. Express 15(8), 4663–4670 (2007).
[CrossRef] [PubMed]

M. Stepi, E. Smirnov, C. E. Rüter, D. Kip, A. Maluckov, and L. O. Hadžievski, “Tamm oscillations in semi-infinite nonlinear waveguide arrays,” Opt. Lett. 32(7), 823–825 (2007).
[CrossRef] [PubMed]

E. Smirnov, C. E. Rüter, M. Stepić, V. Shandarov, and D. Kip, “Dark and bright blocker soliton interaction in defocusing waveguide arrays,” Opt. Express 14(23), 11248–11255 (2006).
[CrossRef] [PubMed]

E. Smirnov, M. Stepić, C. E. Rüter, D. Kip, and V. Shandarov, “Observation of staggered surface solitary waves in one-dimensional waveguide arrays,” Opt. Lett. 31(15), 2338–2340 (2006).
[CrossRef] [PubMed]

M. Stepić, C. Wirth, C. E. Rüter, and D. Kip, “Observation of modulational instability in discrete media with self-defocusing nonlinearity,” Opt. Lett. 31(2), 247–249 (2006).
[CrossRef] [PubMed]

F. Chen, M. Stepić, C. E. Rüter, D. Runde, D. Kip, V. Shandarov, O. Manela, and M. Segev, “Discrete diffraction and spatial gap solitons in photovoltaic LiNbO3 waveguide arrays,” Opt. Express 13(11), 4314–4324 (2005).
[CrossRef] [PubMed]

M. Stepić, D. Kip, Lj. Hadžievski, and A. Maluckov, “One-dimensional bright discrete solitons in media with saturable nonlinearity,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 69(6 Pt 2), 066618 (2004).
[CrossRef] [PubMed]

Kivshar, Y. S.

A. Szameit, I. L. Garanovich, M. Heinrich, A. A. Sukhorukov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and Y. S. Kivshar, “Observation of defect-free surface modes in optical waveguide arrays,” Phys. Rev. Lett. 101(20), 203902 (2008).
[CrossRef] [PubMed]

M. I. Molina and Y. S. Kivshar, “Nonlinear localized modes at phase-slip defects in waveguide arrays,” Opt. Lett. 33(9), 917–919 (2008).
[CrossRef] [PubMed]

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, “Observation of surface gap solitons in semi-infinite waveguide arrays,” Phys. Rev. Lett. 97(8), 083901 (2006).
[CrossRef] [PubMed]

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. G. Chen, “Observation of discrete vortex solitons in optically induced photonic lattices,” Phys. Rev. Lett. 92(12), 123903 (2004).
[CrossRef] [PubMed]

Kivshar, Yu. S.

Z. Y. Xu, M. I. Molina, and Yu. S. Kivshar, “Interface solitons in quadratic nonlinear photonic lattices,” Phys. Rev. A 80(1), 013817 (2009).
[CrossRef]

M. I. Molina and Yu. S. Kivshar, “Interface localized modes and hybrid lattice solitons in waveguide arrays,” Phys. Lett. A 362(4), 280–282 (2007).
[CrossRef]

Krolikowski, W.

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, “Observation of surface gap solitons in semi-infinite waveguide arrays,” Phys. Rev. Lett. 97(8), 083901 (2006).
[CrossRef] [PubMed]

Lederer, F.

H. Trompeter, U. Peschel, T. Pertsch, F. Lederer, U. Streppel, D. Michaelis, and A. Bräuer, “Tailoring guided modes in waveguide arrays,” Opt. Express 11(25), 3404–3411 (2003).
[CrossRef] [PubMed]

D. N. Christodoulides, F. Lederer, and Y. Silberberg, “Discretizing light behaviour in linear and nonlinear waveguide lattices,” Nature 424(6950), 817–823 (2003).
[CrossRef] [PubMed]

Makasyuk, I.

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. G. Chen, “Observation of discrete vortex solitons in optically induced photonic lattices,” Phys. Rev. Lett. 92(12), 123903 (2004).
[CrossRef] [PubMed]

Makris, K. G.

K. Shandarova, C. E. Rüter, D. Kip, K. G. Makris, D. N. Christodoulides, O. Peleg, and M. Segev, “Experimental observation of Rabi oscillations in photonic lattices,” Phys. Rev. Lett. 102(12), 123905 (2009).
[CrossRef] [PubMed]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Arès, E. H. Yang, and G. Salamo, “Optical spatial solitons at the interface between two dissimilar periodic media: theory and experiment,” Opt. Express 16(14), 10480–10492 (2008).
[CrossRef] [PubMed]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Arès, C. E. Rüter, and D. Kip, “Optical modes at the interface between two dissimilar discrete meta-materials,” Opt. Express 15(8), 4663–4670 (2007).
[CrossRef] [PubMed]

K. G. Makris, J. Hudock, D. N. Christodoulides, G. I. Stegeman, O. Manela, and M. Segev, “Surface lattice solitons,” Opt. Lett. 31(18), 2774–2776 (2006).
[CrossRef] [PubMed]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Haché, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, “Observation of discrete surface solitons,” Phys. Rev. Lett. 96(6), 063901 (2006).
[CrossRef] [PubMed]

Malkova, N.

N. Malkova, I. Hromada, X. S. Wang, G. Bryant, and Z. G. Chen, “Observation of optical Shockley-like surface states in photonic superlattices,” Opt. Lett. 34(11), 1633–1635 (2009).
[CrossRef] [PubMed]

Maluckov, A.

M. Stepi, E. Smirnov, C. E. Rüter, D. Kip, A. Maluckov, and L. O. Hadžievski, “Tamm oscillations in semi-infinite nonlinear waveguide arrays,” Opt. Lett. 32(7), 823–825 (2007).
[CrossRef] [PubMed]

M. Stepić, D. Kip, Lj. Hadžievski, and A. Maluckov, “One-dimensional bright discrete solitons in media with saturable nonlinearity,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 69(6 Pt 2), 066618 (2004).
[CrossRef] [PubMed]

Manela, O.

R. Dong, C. E. Rüter, D. Kip, O. Manela, M. Segev, C. Yang, and J. Xu, “Spatial frequency combs and supercontinuum generation in one-dimensional photonic lattices,” Phys. Rev. Lett. 101(18), 183903 (2008).
[CrossRef] [PubMed]

K. G. Makris, J. Hudock, D. N. Christodoulides, G. I. Stegeman, O. Manela, and M. Segev, “Surface lattice solitons,” Opt. Lett. 31(18), 2774–2776 (2006).
[CrossRef] [PubMed]

J. W. Fleischer, G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, “Spatial photonics in nonlinear waveguide arrays,” Opt. Express 13(6), 1780–1796 (2005).
[CrossRef] [PubMed]

F. Chen, M. Stepić, C. E. Rüter, D. Runde, D. Kip, V. Shandarov, O. Manela, and M. Segev, “Discrete diffraction and spatial gap solitons in photovoltaic LiNbO3 waveguide arrays,” Opt. Express 13(11), 4314–4324 (2005).
[CrossRef] [PubMed]

Martin, H.

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. G. Chen, “Observation of discrete vortex solitons in optically induced photonic lattices,” Phys. Rev. Lett. 92(12), 123903 (2004).
[CrossRef] [PubMed]

Michaelis, D.

H. Trompeter, U. Peschel, T. Pertsch, F. Lederer, U. Streppel, D. Michaelis, and A. Bräuer, “Tailoring guided modes in waveguide arrays,” Opt. Express 11(25), 3404–3411 (2003).
[CrossRef] [PubMed]

Mitchell, A.

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, “Observation of surface gap solitons in semi-infinite waveguide arrays,” Phys. Rev. Lett. 97(8), 083901 (2006).
[CrossRef] [PubMed]

Molina, M. I.

Z. Y. Xu, M. I. Molina, and Yu. S. Kivshar, “Interface solitons in quadratic nonlinear photonic lattices,” Phys. Rev. A 80(1), 013817 (2009).
[CrossRef]

M. I. Molina and Y. S. Kivshar, “Nonlinear localized modes at phase-slip defects in waveguide arrays,” Opt. Lett. 33(9), 917–919 (2008).
[CrossRef] [PubMed]

M. I. Molina and Yu. S. Kivshar, “Interface localized modes and hybrid lattice solitons in waveguide arrays,” Phys. Lett. A 362(4), 280–282 (2007).
[CrossRef]

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, “Observation of surface gap solitons in semi-infinite waveguide arrays,” Phys. Rev. Lett. 97(8), 083901 (2006).
[CrossRef] [PubMed]

Morandotti, R.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Arès, E. H. Yang, and G. Salamo, “Optical spatial solitons at the interface between two dissimilar periodic media: theory and experiment,” Opt. Express 16(14), 10480–10492 (2008).
[CrossRef] [PubMed]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Arès, C. E. Rüter, and D. Kip, “Optical modes at the interface between two dissimilar discrete meta-materials,” Opt. Express 15(8), 4663–4670 (2007).
[CrossRef] [PubMed]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Haché, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, “Observation of discrete surface solitons,” Phys. Rev. Lett. 96(6), 063901 (2006).
[CrossRef] [PubMed]

R. Morandotti, H. S. Eisenberg, Y. Silberberg, M. Sorel, and J. S. Aitchison, “Self-focusing and defocusing in waveguide arrays,” Phys. Rev. Lett. 86(15), 3296–3299 (2001).
[CrossRef] [PubMed]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Diffraction management,” Phys. Rev. Lett. 85(9), 1863–1866 (2000).
[CrossRef] [PubMed]

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).
[CrossRef]

Neshev, D. N.

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, “Observation of surface gap solitons in semi-infinite waveguide arrays,” Phys. Rev. Lett. 97(8), 083901 (2006).
[CrossRef] [PubMed]

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. G. Chen, “Observation of discrete vortex solitons in optically induced photonic lattices,” Phys. Rev. Lett. 92(12), 123903 (2004).
[CrossRef] [PubMed]

Nolte, S.

A. Szameit, I. L. Garanovich, M. Heinrich, A. A. Sukhorukov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and Y. S. Kivshar, “Observation of defect-free surface modes in optical waveguide arrays,” Phys. Rev. Lett. 101(20), 203902 (2008).
[CrossRef] [PubMed]

A. Szameit, Y. V. Kartashov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and L. Torner, “Observation of two-dimensional surface solitons in asymmetric waveguide arrays,” Phys. Rev. Lett. 98(17), 173903 (2007).
[CrossRef]

Ostrovskaya, E. A.

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. G. Chen, “Observation of discrete vortex solitons in optically induced photonic lattices,” Phys. Rev. Lett. 92(12), 123903 (2004).
[CrossRef] [PubMed]

Peleg, O.

K. Shandarova, C. E. Rüter, D. Kip, K. G. Makris, D. N. Christodoulides, O. Peleg, and M. Segev, “Experimental observation of Rabi oscillations in photonic lattices,” Phys. Rev. Lett. 102(12), 123905 (2009).
[CrossRef] [PubMed]

Pertsch, T.

A. Szameit, I. L. Garanovich, M. Heinrich, A. A. Sukhorukov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and Y. S. Kivshar, “Observation of defect-free surface modes in optical waveguide arrays,” Phys. Rev. Lett. 101(20), 203902 (2008).
[CrossRef] [PubMed]

A. Szameit, Y. V. Kartashov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and L. Torner, “Observation of two-dimensional surface solitons in asymmetric waveguide arrays,” Phys. Rev. Lett. 98(17), 173903 (2007).
[CrossRef]

H. Trompeter, U. Peschel, T. Pertsch, F. Lederer, U. Streppel, D. Michaelis, and A. Bräuer, “Tailoring guided modes in waveguide arrays,” Opt. Express 11(25), 3404–3411 (2003).
[CrossRef] [PubMed]

Peschel, U.

H. Trompeter, U. Peschel, T. Pertsch, F. Lederer, U. Streppel, D. Michaelis, and A. Bräuer, “Tailoring guided modes in waveguide arrays,” Opt. Express 11(25), 3404–3411 (2003).
[CrossRef] [PubMed]

Rosberg, C. R.

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, “Observation of surface gap solitons in semi-infinite waveguide arrays,” Phys. Rev. Lett. 97(8), 083901 (2006).
[CrossRef] [PubMed]

Runde, D.

F. Chen, M. Stepić, C. E. Rüter, D. Runde, D. Kip, V. Shandarov, O. Manela, and M. Segev, “Discrete diffraction and spatial gap solitons in photovoltaic LiNbO3 waveguide arrays,” Opt. Express 13(11), 4314–4324 (2005).
[CrossRef] [PubMed]

Rüter, C. E.

K. Shandarova, C. E. Rüter, D. Kip, K. G. Makris, D. N. Christodoulides, O. Peleg, and M. Segev, “Experimental observation of Rabi oscillations in photonic lattices,” Phys. Rev. Lett. 102(12), 123905 (2009).
[CrossRef] [PubMed]

R. Dong, C. E. Rüter, D. Kip, O. Manela, M. Segev, C. Yang, and J. Xu, “Spatial frequency combs and supercontinuum generation in one-dimensional photonic lattices,” Phys. Rev. Lett. 101(18), 183903 (2008).
[CrossRef] [PubMed]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Arès, C. E. Rüter, and D. Kip, “Optical modes at the interface between two dissimilar discrete meta-materials,” Opt. Express 15(8), 4663–4670 (2007).
[CrossRef] [PubMed]

M. Stepi, E. Smirnov, C. E. Rüter, D. Kip, A. Maluckov, and L. O. Hadžievski, “Tamm oscillations in semi-infinite nonlinear waveguide arrays,” Opt. Lett. 32(7), 823–825 (2007).
[CrossRef] [PubMed]

E. Smirnov, C. E. Rüter, M. Stepić, V. Shandarov, and D. Kip, “Dark and bright blocker soliton interaction in defocusing waveguide arrays,” Opt. Express 14(23), 11248–11255 (2006).
[CrossRef] [PubMed]

E. Smirnov, M. Stepić, C. E. Rüter, D. Kip, and V. Shandarov, “Observation of staggered surface solitary waves in one-dimensional waveguide arrays,” Opt. Lett. 31(15), 2338–2340 (2006).
[CrossRef] [PubMed]

M. Stepić, C. Wirth, C. E. Rüter, and D. Kip, “Observation of modulational instability in discrete media with self-defocusing nonlinearity,” Opt. Lett. 31(2), 247–249 (2006).
[CrossRef] [PubMed]

F. Chen, M. Stepić, C. E. Rüter, D. Runde, D. Kip, V. Shandarov, O. Manela, and M. Segev, “Discrete diffraction and spatial gap solitons in photovoltaic LiNbO3 waveguide arrays,” Opt. Express 13(11), 4314–4324 (2005).
[CrossRef] [PubMed]

Salamo, G.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Arès, E. H. Yang, and G. Salamo, “Optical spatial solitons at the interface between two dissimilar periodic media: theory and experiment,” Opt. Express 16(14), 10480–10492 (2008).
[CrossRef] [PubMed]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Haché, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, “Observation of discrete surface solitons,” Phys. Rev. Lett. 96(6), 063901 (2006).
[CrossRef] [PubMed]

Schwartz, T.

J. W. Fleischer, G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, “Spatial photonics in nonlinear waveguide arrays,” Opt. Express 13(6), 1780–1796 (2005).
[CrossRef] [PubMed]

Segev, M.

K. Shandarova, C. E. Rüter, D. Kip, K. G. Makris, D. N. Christodoulides, O. Peleg, and M. Segev, “Experimental observation of Rabi oscillations in photonic lattices,” Phys. Rev. Lett. 102(12), 123905 (2009).
[CrossRef] [PubMed]

R. Dong, C. E. Rüter, D. Kip, O. Manela, M. Segev, C. Yang, and J. Xu, “Spatial frequency combs and supercontinuum generation in one-dimensional photonic lattices,” Phys. Rev. Lett. 101(18), 183903 (2008).
[CrossRef] [PubMed]

K. G. Makris, J. Hudock, D. N. Christodoulides, G. I. Stegeman, O. Manela, and M. Segev, “Surface lattice solitons,” Opt. Lett. 31(18), 2774–2776 (2006).
[CrossRef] [PubMed]

F. Chen, M. Stepić, C. E. Rüter, D. Runde, D. Kip, V. Shandarov, O. Manela, and M. Segev, “Discrete diffraction and spatial gap solitons in photovoltaic LiNbO3 waveguide arrays,” Opt. Express 13(11), 4314–4324 (2005).
[CrossRef] [PubMed]

J. W. Fleischer, G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, “Spatial photonics in nonlinear waveguide arrays,” Opt. Express 13(6), 1780–1796 (2005).
[CrossRef] [PubMed]

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(6928), 147–150 (2003).
[CrossRef] [PubMed]

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), 023902 (2003).
[CrossRef] [PubMed]

Shandarov, V.

E. Smirnov, M. Stepić, C. E. Rüter, D. Kip, and V. Shandarov, “Observation of staggered surface solitary waves in one-dimensional waveguide arrays,” Opt. Lett. 31(15), 2338–2340 (2006).
[CrossRef] [PubMed]

E. Smirnov, C. E. Rüter, M. Stepić, V. Shandarov, and D. Kip, “Dark and bright blocker soliton interaction in defocusing waveguide arrays,” Opt. Express 14(23), 11248–11255 (2006).
[CrossRef] [PubMed]

F. Chen, M. Stepić, C. E. Rüter, D. Runde, D. Kip, V. Shandarov, O. Manela, and M. Segev, “Discrete diffraction and spatial gap solitons in photovoltaic LiNbO3 waveguide arrays,” Opt. Express 13(11), 4314–4324 (2005).
[CrossRef] [PubMed]

Shandarova, K.

K. Shandarova, C. E. Rüter, D. Kip, K. G. Makris, D. N. Christodoulides, O. Peleg, and M. Segev, “Experimental observation of Rabi oscillations in photonic lattices,” Phys. Rev. Lett. 102(12), 123905 (2009).
[CrossRef] [PubMed]

Silberberg, Y.

D. N. Christodoulides, F. Lederer, and Y. Silberberg, “Discretizing light behaviour in linear and nonlinear waveguide lattices,” Nature 424(6950), 817–823 (2003).
[CrossRef] [PubMed]

R. Morandotti, H. S. Eisenberg, Y. Silberberg, M. Sorel, and J. S. Aitchison, “Self-focusing and defocusing in waveguide arrays,” Phys. Rev. Lett. 86(15), 3296–3299 (2001).
[CrossRef] [PubMed]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Diffraction management,” Phys. Rev. Lett. 85(9), 1863–1866 (2000).
[CrossRef] [PubMed]

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).
[CrossRef]

Smirnov, E.

M. Stepi, E. Smirnov, C. E. Rüter, D. Kip, A. Maluckov, and L. O. Hadžievski, “Tamm oscillations in semi-infinite nonlinear waveguide arrays,” Opt. Lett. 32(7), 823–825 (2007).
[CrossRef] [PubMed]

E. Smirnov, C. E. Rüter, M. Stepić, V. Shandarov, and D. Kip, “Dark and bright blocker soliton interaction in defocusing waveguide arrays,” Opt. Express 14(23), 11248–11255 (2006).
[CrossRef] [PubMed]

E. Smirnov, M. Stepić, C. E. Rüter, D. Kip, and V. Shandarov, “Observation of staggered surface solitary waves in one-dimensional waveguide arrays,” Opt. Lett. 31(15), 2338–2340 (2006).
[CrossRef] [PubMed]

Sorel, M.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Haché, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, “Observation of discrete surface solitons,” Phys. Rev. Lett. 96(6), 063901 (2006).
[CrossRef] [PubMed]

R. Morandotti, H. S. Eisenberg, Y. Silberberg, M. Sorel, and J. S. Aitchison, “Self-focusing and defocusing in waveguide arrays,” Phys. Rev. Lett. 86(15), 3296–3299 (2001).
[CrossRef] [PubMed]

Stegeman, G. I.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Arès, E. H. Yang, and G. Salamo, “Optical spatial solitons at the interface between two dissimilar periodic media: theory and experiment,” Opt. Express 16(14), 10480–10492 (2008).
[CrossRef] [PubMed]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Arès, C. E. Rüter, and D. Kip, “Optical modes at the interface between two dissimilar discrete meta-materials,” Opt. Express 15(8), 4663–4670 (2007).
[CrossRef] [PubMed]

K. G. Makris, J. Hudock, D. N. Christodoulides, G. I. Stegeman, O. Manela, and M. Segev, “Surface lattice solitons,” Opt. Lett. 31(18), 2774–2776 (2006).
[CrossRef] [PubMed]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Haché, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, “Observation of discrete surface solitons,” Phys. Rev. Lett. 96(6), 063901 (2006).
[CrossRef] [PubMed]

Stepi, M.

M. Stepi, E. Smirnov, C. E. Rüter, D. Kip, A. Maluckov, and L. O. Hadžievski, “Tamm oscillations in semi-infinite nonlinear waveguide arrays,” Opt. Lett. 32(7), 823–825 (2007).
[CrossRef] [PubMed]

Stepic, M.

E. Smirnov, C. E. Rüter, M. Stepić, V. Shandarov, and D. Kip, “Dark and bright blocker soliton interaction in defocusing waveguide arrays,” Opt. Express 14(23), 11248–11255 (2006).
[CrossRef] [PubMed]

M. Stepić, C. Wirth, C. E. Rüter, and D. Kip, “Observation of modulational instability in discrete media with self-defocusing nonlinearity,” Opt. Lett. 31(2), 247–249 (2006).
[CrossRef] [PubMed]

E. Smirnov, M. Stepić, C. E. Rüter, D. Kip, and V. Shandarov, “Observation of staggered surface solitary waves in one-dimensional waveguide arrays,” Opt. Lett. 31(15), 2338–2340 (2006).
[CrossRef] [PubMed]

F. Chen, M. Stepić, C. E. Rüter, D. Runde, D. Kip, V. Shandarov, O. Manela, and M. Segev, “Discrete diffraction and spatial gap solitons in photovoltaic LiNbO3 waveguide arrays,” Opt. Express 13(11), 4314–4324 (2005).
[CrossRef] [PubMed]

M. Stepić, D. Kip, Lj. Hadžievski, and A. Maluckov, “One-dimensional bright discrete solitons in media with saturable nonlinearity,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 69(6 Pt 2), 066618 (2004).
[CrossRef] [PubMed]

Streppel, U.

H. Trompeter, U. Peschel, T. Pertsch, F. Lederer, U. Streppel, D. Michaelis, and A. Bräuer, “Tailoring guided modes in waveguide arrays,” Opt. Express 11(25), 3404–3411 (2003).
[CrossRef] [PubMed]

Sukhorukov, A. A.

A. Szameit, I. L. Garanovich, M. Heinrich, A. A. Sukhorukov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and Y. S. Kivshar, “Observation of defect-free surface modes in optical waveguide arrays,” Phys. Rev. Lett. 101(20), 203902 (2008).
[CrossRef] [PubMed]

Suntsov, S.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Arès, E. H. Yang, and G. Salamo, “Optical spatial solitons at the interface between two dissimilar periodic media: theory and experiment,” Opt. Express 16(14), 10480–10492 (2008).
[CrossRef] [PubMed]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Arès, C. E. Rüter, and D. Kip, “Optical modes at the interface between two dissimilar discrete meta-materials,” Opt. Express 15(8), 4663–4670 (2007).
[CrossRef] [PubMed]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Haché, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, “Observation of discrete surface solitons,” Phys. Rev. Lett. 96(6), 063901 (2006).
[CrossRef] [PubMed]

Szameit, A.

A. Szameit, I. L. Garanovich, M. Heinrich, A. A. Sukhorukov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and Y. S. Kivshar, “Observation of defect-free surface modes in optical waveguide arrays,” Phys. Rev. Lett. 101(20), 203902 (2008).
[CrossRef] [PubMed]

A. Szameit, Y. V. Kartashov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and L. Torner, “Observation of two-dimensional surface solitons in asymmetric waveguide arrays,” Phys. Rev. Lett. 98(17), 173903 (2007).
[CrossRef]

Torner, L.

A. Szameit, Y. V. Kartashov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and L. Torner, “Observation of two-dimensional surface solitons in asymmetric waveguide arrays,” Phys. Rev. Lett. 98(17), 173903 (2007).
[CrossRef]

Trompeter, H.

H. Trompeter, U. Peschel, T. Pertsch, F. Lederer, U. Streppel, D. Michaelis, and A. Bräuer, “Tailoring guided modes in waveguide arrays,” Opt. Express 11(25), 3404–3411 (2003).
[CrossRef] [PubMed]

Tünnermann, A.

A. Szameit, I. L. Garanovich, M. Heinrich, A. A. Sukhorukov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and Y. S. Kivshar, “Observation of defect-free surface modes in optical waveguide arrays,” Phys. Rev. Lett. 101(20), 203902 (2008).
[CrossRef] [PubMed]

A. Szameit, Y. V. Kartashov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and L. Torner, “Observation of two-dimensional surface solitons in asymmetric waveguide arrays,” Phys. Rev. Lett. 98(17), 173903 (2007).
[CrossRef]

Vicencio, R. A.

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, “Observation of surface gap solitons in semi-infinite waveguide arrays,” Phys. Rev. Lett. 97(8), 083901 (2006).
[CrossRef] [PubMed]

Volatier, M.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Arès, E. H. Yang, and G. Salamo, “Optical spatial solitons at the interface between two dissimilar periodic media: theory and experiment,” Opt. Express 16(14), 10480–10492 (2008).
[CrossRef] [PubMed]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Arès, C. E. Rüter, and D. Kip, “Optical modes at the interface between two dissimilar discrete meta-materials,” Opt. Express 15(8), 4663–4670 (2007).
[CrossRef] [PubMed]

Wang, X. S.

Y. Hu, R. Egger, P. Zhang, X. S. Wang, and Z. G. Chen, “Interface solitons excited between a simple lattice and a superlattice,” Opt. Express 18(14), 14679–14684 (2010).
[CrossRef] [PubMed]

N. Malkova, I. Hromada, X. S. Wang, G. Bryant, and Z. G. Chen, “Observation of optical Shockley-like surface states in photonic superlattices,” Opt. Lett. 34(11), 1633–1635 (2009).
[CrossRef] [PubMed]

Wirth, C.

M. Stepić, C. Wirth, C. E. Rüter, and D. Kip, “Observation of modulational instability in discrete media with self-defocusing nonlinearity,” Opt. Lett. 31(2), 247–249 (2006).
[CrossRef] [PubMed]

Xu, J.

R. Dong, C. E. Rüter, D. Kip, O. Manela, M. Segev, C. Yang, and J. Xu, “Spatial frequency combs and supercontinuum generation in one-dimensional photonic lattices,” Phys. Rev. Lett. 101(18), 183903 (2008).
[CrossRef] [PubMed]

Xu, Z. Y.

Z. Y. Xu, M. I. Molina, and Yu. S. Kivshar, “Interface solitons in quadratic nonlinear photonic lattices,” Phys. Rev. A 80(1), 013817 (2009).
[CrossRef]

Yang, C.

R. Dong, C. E. Rüter, D. Kip, O. Manela, M. Segev, C. Yang, and J. Xu, “Spatial frequency combs and supercontinuum generation in one-dimensional photonic lattices,” Phys. Rev. Lett. 101(18), 183903 (2008).
[CrossRef] [PubMed]

Yang, E. H.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Arès, E. H. Yang, and G. Salamo, “Optical spatial solitons at the interface between two dissimilar periodic media: theory and experiment,” Opt. Express 16(14), 10480–10492 (2008).
[CrossRef] [PubMed]

Yang, H.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Haché, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, “Observation of discrete surface solitons,” Phys. Rev. Lett. 96(6), 063901 (2006).
[CrossRef] [PubMed]

Yang, J. K.

F. Fedele, J. K. Yang, and Z. G. Chen, “Defect modes in one-dimensional photonic lattices,” Opt. Lett. 30(12), 1506–1508 (2005).
[CrossRef] [PubMed]

Zhang, P.

Y. Hu, R. Egger, P. Zhang, X. S. Wang, and Z. G. Chen, “Interface solitons excited between a simple lattice and a superlattice,” Opt. Express 18(14), 14679–14684 (2010).
[CrossRef] [PubMed]

Nature (2)

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(6928), 147–150 (2003).
[CrossRef] [PubMed]

D. N. Christodoulides, F. Lederer, and Y. Silberberg, “Discretizing light behaviour in linear and nonlinear waveguide lattices,” Nature 424(6950), 817–823 (2003).
[CrossRef] [PubMed]

Opt. Express (7)

J. W. Fleischer, G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, “Spatial photonics in nonlinear waveguide arrays,” Opt. Express 13(6), 1780–1796 (2005).
[CrossRef] [PubMed]

F. Chen, M. Stepić, C. E. Rüter, D. Runde, D. Kip, V. Shandarov, O. Manela, and M. Segev, “Discrete diffraction and spatial gap solitons in photovoltaic LiNbO3 waveguide arrays,” Opt. Express 13(11), 4314–4324 (2005).
[CrossRef] [PubMed]

H. Trompeter, U. Peschel, T. Pertsch, F. Lederer, U. Streppel, D. Michaelis, and A. Bräuer, “Tailoring guided modes in waveguide arrays,” Opt. Express 11(25), 3404–3411 (2003).
[CrossRef] [PubMed]

Y. Hu, R. Egger, P. Zhang, X. S. Wang, and Z. G. Chen, “Interface solitons excited between a simple lattice and a superlattice,” Opt. Express 18(14), 14679–14684 (2010).
[CrossRef] [PubMed]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Arès, C. E. Rüter, and D. Kip, “Optical modes at the interface between two dissimilar discrete meta-materials,” Opt. Express 15(8), 4663–4670 (2007).
[CrossRef] [PubMed]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Arès, E. H. Yang, and G. Salamo, “Optical spatial solitons at the interface between two dissimilar periodic media: theory and experiment,” Opt. Express 16(14), 10480–10492 (2008).
[CrossRef] [PubMed]

E. Smirnov, C. E. Rüter, M. Stepić, V. Shandarov, and D. Kip, “Dark and bright blocker soliton interaction in defocusing waveguide arrays,” Opt. Express 14(23), 11248–11255 (2006).
[CrossRef] [PubMed]

Opt. Lett. (7)

M. Stepi, E. Smirnov, C. E. Rüter, D. Kip, A. Maluckov, and L. O. Hadžievski, “Tamm oscillations in semi-infinite nonlinear waveguide arrays,” Opt. Lett. 32(7), 823–825 (2007).
[CrossRef] [PubMed]

N. Malkova, I. Hromada, X. S. Wang, G. Bryant, and Z. G. Chen, “Observation of optical Shockley-like surface states in photonic superlattices,” Opt. Lett. 34(11), 1633–1635 (2009).
[CrossRef] [PubMed]

F. Fedele, J. K. Yang, and Z. G. Chen, “Defect modes in one-dimensional photonic lattices,” Opt. Lett. 30(12), 1506–1508 (2005).
[CrossRef] [PubMed]

K. G. Makris, J. Hudock, D. N. Christodoulides, G. I. Stegeman, O. Manela, and M. Segev, “Surface lattice solitons,” Opt. Lett. 31(18), 2774–2776 (2006).
[CrossRef] [PubMed]

M. I. Molina and Y. S. Kivshar, “Nonlinear localized modes at phase-slip defects in waveguide arrays,” Opt. Lett. 33(9), 917–919 (2008).
[CrossRef] [PubMed]

E. Smirnov, M. Stepić, C. E. Rüter, D. Kip, and V. Shandarov, “Observation of staggered surface solitary waves in one-dimensional waveguide arrays,” Opt. Lett. 31(15), 2338–2340 (2006).
[CrossRef] [PubMed]

M. Stepić, C. Wirth, C. E. Rüter, and D. Kip, “Observation of modulational instability in discrete media with self-defocusing nonlinearity,” Opt. Lett. 31(2), 247–249 (2006).
[CrossRef] [PubMed]

Phys. Lett. A (1)

M. I. Molina and Yu. S. Kivshar, “Interface localized modes and hybrid lattice solitons in waveguide arrays,” Phys. Lett. A 362(4), 280–282 (2007).
[CrossRef]

Phys. Rev. A (1)

Z. Y. Xu, M. I. Molina, and Yu. S. Kivshar, “Interface solitons in quadratic nonlinear photonic lattices,” Phys. Rev. A 80(1), 013817 (2009).
[CrossRef]

Phys. Rev. E Stat. Nonlin. Soft Matter Phys. (1)

M. Stepić, D. Kip, Lj. Hadžievski, and A. Maluckov, “One-dimensional bright discrete solitons in media with saturable nonlinearity,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 69(6 Pt 2), 066618 (2004).
[CrossRef] [PubMed]

Phys. Rev. Lett. (11)

A. Szameit, Y. V. Kartashov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and L. Torner, “Observation of two-dimensional surface solitons in asymmetric waveguide arrays,” Phys. Rev. Lett. 98(17), 173903 (2007).
[CrossRef]

A. Szameit, I. L. Garanovich, M. Heinrich, A. A. Sukhorukov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and Y. S. Kivshar, “Observation of defect-free surface modes in optical waveguide arrays,” Phys. Rev. Lett. 101(20), 203902 (2008).
[CrossRef] [PubMed]

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), 023902 (2003).
[CrossRef] [PubMed]

R. Dong, C. E. Rüter, D. Kip, O. Manela, M. Segev, C. Yang, and J. Xu, “Spatial frequency combs and supercontinuum generation in one-dimensional photonic lattices,” Phys. Rev. Lett. 101(18), 183903 (2008).
[CrossRef] [PubMed]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Haché, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, “Observation of discrete surface solitons,” Phys. Rev. Lett. 96(6), 063901 (2006).
[CrossRef] [PubMed]

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, “Observation of surface gap solitons in semi-infinite waveguide arrays,” Phys. Rev. Lett. 97(8), 083901 (2006).
[CrossRef] [PubMed]

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. G. Chen, “Observation of discrete vortex solitons in optically induced photonic lattices,” Phys. Rev. Lett. 92(12), 123903 (2004).
[CrossRef] [PubMed]

R. Morandotti, H. S. Eisenberg, Y. Silberberg, M. Sorel, and J. S. Aitchison, “Self-focusing and defocusing in waveguide arrays,” Phys. Rev. Lett. 86(15), 3296–3299 (2001).
[CrossRef] [PubMed]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Diffraction management,” Phys. Rev. Lett. 85(9), 1863–1866 (2000).
[CrossRef] [PubMed]

K. Shandarova, C. E. Rüter, D. Kip, K. G. Makris, D. N. Christodoulides, O. Peleg, and M. Segev, “Experimental observation of Rabi oscillations in photonic lattices,” Phys. Rev. Lett. 102(12), 123905 (2009).
[CrossRef] [PubMed]

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).
[CrossRef]

Other (2)

P. St, J. Russell, T. A. Birks, and F. D. Lloyd Lucas, “Photonic Bloch waves and photonic band gaps,” in Confined Electrons and Photons, E. Burstein and C. Weisbuch, Eds., (Plenum Press, 1995), pp. 585–633.

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

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Figures (9)

Fig. 1
Fig. 1

Geometrical representation of our waveguide array fabricated in LiNbO3. Here n is the waveguide number, and the defect is located between waveguides 0 and 1. Array parameters are w = 5 μm, dL = 4 μm, dR = 3 μm, and 2 μm < d < 4.5 μm.

Fig. 2
Fig. 2

Linear discrete diffraction when (a) channel 0 and (b) channel 1 is excited. Numerical results are shown on the left panels, while experimental output distributions are depicted on the right panels. Defect width is d = 2.75 μm, CL = 66.5 m−1, CR = 160.5 m−1, and C L R = C R L = 202.6 m−1.

Fig. 3
Fig. 3

Calculated and experimentally determined coupling coefficient C of the defect as a function of defect width d.

Fig. 4
Fig. 4

(a) Unstaggered and (b) staggered linear stationary solutions of DNLS for d = 2.5 μm.

Fig. 5
Fig. 5

Phase diagram in coupling space of linear localized modes for various defect widths.

Fig. 6
Fig. 6

Excitation of linear trapped modes at the interface. (a), (b) input and output intensity distribution (unstaggered modes) for d = 2µm; (e), (f) d = 2.25µm; (g), (h) for d = 2.5 µm. The dashed vertical lines depict the defect location. For the case d = 2 μm panels (c, d) show the interferograms of the output distribution for staggered (c) and unstaggered (d, corresponding to the output profile monitored in panel b) modes, respectively.

Fig. 7
Fig. 7

Power versus nonlinear propagation constant for (a) d = 2.5 μm and (b) d = 4.25 μm. The insets in the left panel show the magnitude of the field amplitude of staggered surface solitons.

Fig. 8
Fig. 8

Numerically (left panels: a, b, c) and experimentally (right panels: d, e, f) obtained power thresholds for narrow soliton formation: (a, d) 2 μm ≤ d ≤ 2.75 μm; (b, e) 3 μm ≤ d ≤ 3.75 μm; and (c, f) 4 μm ≤ d ≤ 4.50 μm. The vertical solid lines mark the position of the defect, while the two horizontal dashed lines indicate the power thresholds in the two homogeneous arrays.

Fig. 9
Fig. 9

Temporal dynamics of soliton formation in the sample with d = 2.75 µm when channel n = 0 (a) or channel n = 1 (b) is excited. The white arrows points to the excited channel while the dashed line marks the position of the defect. The interferograms given in the right panels show the staggered phase of the output light distribution in steady-state (t = 80 min).

Equations (1)

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i d E n d z + C n , n 1 E n 1 + C n , n + 1 E n + 1 + α | E n | 2 1 + κ | E n | 2 E n = 0     ,

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