Abstract

We elucidate the stability properties of vector kink solitons at an interface separating a defocusing Kerr medium and an imprinted semi-infinite photonic lattice. The mutual trapping between two orthogonally polarized components results in the formation of vector states composed of well-known components in various forms, i.e., out-of-phase kinks, in-phase kinks, and surface gap solitons. Linear stability analysis reveals that a vector soliton composed of two out-of-phase kinks or an out-of-phase kink and a surface gap soliton can propagate stably in a wide parameter region. Our finding provides an example of stable vector solitons with nonvanishing amplitudes at infinity.

© 2012 Optical Society of America

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    [CrossRef]
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2011 (1)

C. Huang, J. Zheng, S. Zhong, and L. Dong, “Interface kink solitons in defocusing saturable nonlinear media,” Opt. Commun. 284, 4225–4228 (2011).
[CrossRef]

2010 (2)

D. Mihalache, “Discrete light bullets in one- and two-dimensional photonic lattices: collision scenarios,” Rom. Rep. Phys. 62, 99–114 (2010).

Y. He, D. Mihalache, and B. Hu, “Soliton drift, rebound, penetration, and trapping at the interface between media with uniform and spatially modulated nonlinearities,” Opt. Lett. 35, 1716–1718 (2010).
[CrossRef]

2009 (3)

2008 (1)

D. Y. Tang, H. Zhang, L. M. Zhao, and X. Wu, “Observation of high-order polarization-locked vector solitons in a fiber laser,” Phys. Rev. Lett. 101, 153904 (2008).
[CrossRef]

2007 (5)

D. Rand, I. Glesk, C.-S. Brés, D. A. Nolan, X. Chen, J. Koh, J. W. Fleischer, K. Steiglitz, and P. R. Prucnal, “Observation of temporal vector soliton propagation and collision in birefringent fiber,” Phys. Rev. Lett. 98, 053902 (2007).
[CrossRef]

D. Mihalache, D. Mazilu, F. Lederer, and Y. S. Kivshar, “Stable discrete surface light bullets,” Opt. Express 15, 589–595(2007).
[CrossRef]

F. Ye, Y. V. Kartashov, and L. Torner, “Vector soliton fission by reflection at nonlinear interfaces,” Opt. Lett. 32, 394–396 (2007).
[CrossRef]

D. Mihalache, D. Mazilu, F. Lederer, and Y. S. Kivshar, “Spatiotemporal surface solitons in two-dimensional photonic lattices,” Opt. Lett. 32, 3173–3175 (2007).
[CrossRef]

X. Wang, A. Bezryadina, Z. Chen, K. G. Makris, D. N. Christodoulides, and G. I. Stegeman, “Observation of two-dimensional surface solitons,” Phys. Rev. Lett. 98, 123903 (2007).
[CrossRef]

2006 (9)

2005 (2)

J. Babarro, M. J. Paz-Alonso, H. Michinel, J. R. Salgueiro, and D. N. Olivieri, “Controllable scattering of vector Bose–Einstein solitons,” Phys. Rev. A 71, 043608 (2005).
[CrossRef]

K. G. Makris, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and A. Hache, “Discrete surface solitons,” Opt. Lett. 30, 2466–2468 (2005).
[CrossRef]

2004 (3)

Z. Chen, A. Bezryadina, I. Makasyuk, and J. Yang, “Observation of two-dimensional lattice vector solitons,” Opt. Lett. 29, 1656–1658 (2004).
[CrossRef]

G. D. Montesinos, V. M. Pérez-García, and H. Michinel, “Stabilized two-dimensional vector solitons,” Phys. Rev. Lett. 92, 133901 (2004).
[CrossRef]

Y. V. Kartashov, A. S. Zelenina, V. A. Vysloukh, and L. Torner, “Stabilization of vector solitons in optical lattices,” Phys. Rev. E 70, 066623 (2004).
[CrossRef]

2003 (1)

J. Yang and D. E. Pelinovsky, “Stable vortex and dipole vector solitons in a saturable nonlinear medium,” Phys. Rev. E 67, 016608 (2003).
[CrossRef]

2000 (3)

W. Krolikowski, E. A. Ostrovskaya, C. Weilnau, M. Geisser, G. McCarthy, Y. S. Kivshar, C. Denz, and B. Luther-Davies, “Observation of dipole-mode vector solitons,” Phys. Rev. Lett. 85, 1424–1427 (2000).
[CrossRef]

J. N. Malmberg, A. H. Carlsson, D. Anderson, M. Lisak, E. A. Ostrovskaya, and Y. S. Kivshar, “Vector solitons in (2+1) dimensions,” Opt. Lett. 25, 643–645 (2000).
[CrossRef]

J. Yang and Y. Tan, “Fractal structure in the collision of vector solitons,” Phys. Rev. Lett. 85, 3624–3627 (2000).
[CrossRef]

1999 (2)

G. I. Stegeman and M. Segev, “Optical spatial solitons and their interactions: universality and diversity,” Science 286, 1518–1523 (1999).
[CrossRef]

E. A. Ostrovskaya, Y. S. Kivshar, D. V. Skryabin, and W. J. Firth, “Stability of multihump optical solitons,” Phys. Rev. Lett. 83, 296–299 (1999).
[CrossRef]

1998 (2)

M. Mitchell, M. Segev, and D. N. Christodoulides, “Observation of multihump multimode solitons,” Phys. Rev. Lett. 80, 4657–4660 (1998).
[CrossRef]

N. Akhmediev, W. Królikowski, and A. W. Snyder, “Partially coherent solitons of variable shape,” Phys. Rev. Lett. 81, 4632–4635 (1998).
[CrossRef]

1996 (1)

J. U. Kang, G. I. Stegeman, J. S. Aitchison, and N. Akhmediev, “Observation of Manakov spatial solitons in AlGaAs planar waveguides,” Phys. Rev. Lett. 76, 3699–3702 (1996).
[CrossRef]

1993 (1)

1988 (1)

Agrawal, G. P.

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

G. P. Agrawal, Nonlinear Fiber Optics (Academic, 1995).

Aitchison, J. S.

J. U. Kang, G. I. Stegeman, J. S. Aitchison, and N. Akhmediev, “Observation of Manakov spatial solitons in AlGaAs planar waveguides,” Phys. Rev. Lett. 76, 3699–3702 (1996).
[CrossRef]

Akhmediev, N.

N. Akhmediev, W. Królikowski, and A. W. Snyder, “Partially coherent solitons of variable shape,” Phys. Rev. Lett. 81, 4632–4635 (1998).
[CrossRef]

J. U. Kang, G. I. Stegeman, J. S. Aitchison, and N. Akhmediev, “Observation of Manakov spatial solitons in AlGaAs planar waveguides,” Phys. Rev. Lett. 76, 3699–3702 (1996).
[CrossRef]

Anderson, D.

Babarro, J.

J. Babarro, M. J. Paz-Alonso, H. Michinel, J. R. Salgueiro, and D. N. Olivieri, “Controllable scattering of vector Bose–Einstein solitons,” Phys. Rev. A 71, 043608 (2005).
[CrossRef]

Bezryadina, A.

X. Wang, A. Bezryadina, Z. Chen, K. G. Makris, D. N. Christodoulides, and G. I. Stegeman, “Observation of two-dimensional surface solitons,” Phys. Rev. Lett. 98, 123903 (2007).
[CrossRef]

Z. Chen, A. Bezryadina, I. Makasyuk, and J. Yang, “Observation of two-dimensional lattice vector solitons,” Opt. Lett. 29, 1656–1658 (2004).
[CrossRef]

Brés, C.-S.

D. Rand, I. Glesk, C.-S. Brés, D. A. Nolan, X. Chen, J. Koh, J. W. Fleischer, K. Steiglitz, and P. R. Prucnal, “Observation of temporal vector soliton propagation and collision in birefringent fiber,” Phys. Rev. Lett. 98, 053902 (2007).
[CrossRef]

Carlsson, A. H.

Chen, W. H.

Chen, X.

D. Rand, I. Glesk, C.-S. Brés, D. A. Nolan, X. Chen, J. Koh, J. W. Fleischer, K. Steiglitz, and P. R. Prucnal, “Observation of temporal vector soliton propagation and collision in birefringent fiber,” Phys. Rev. Lett. 98, 053902 (2007).
[CrossRef]

Chen, Z.

X. Wang, A. Bezryadina, Z. Chen, K. G. Makris, D. N. Christodoulides, and G. I. Stegeman, “Observation of two-dimensional surface solitons,” Phys. Rev. Lett. 98, 123903 (2007).
[CrossRef]

Z. Chen, A. Bezryadina, I. Makasyuk, and J. Yang, “Observation of two-dimensional lattice vector solitons,” Opt. Lett. 29, 1656–1658 (2004).
[CrossRef]

Christodoulides, D. N.

Denz, C.

W. Krolikowski, E. A. Ostrovskaya, C. Weilnau, M. Geisser, G. McCarthy, Y. S. Kivshar, C. Denz, and B. Luther-Davies, “Observation of dipole-mode vector solitons,” Phys. Rev. Lett. 85, 1424–1427 (2000).
[CrossRef]

Dong, L.

C. Huang, J. Zheng, S. Zhong, and L. Dong, “Interface kink solitons in defocusing saturable nonlinear media,” Opt. Commun. 284, 4225–4228 (2011).
[CrossRef]

Firth, W. J.

E. A. Ostrovskaya, Y. S. Kivshar, D. V. Skryabin, and W. J. Firth, “Stability of multihump optical solitons,” Phys. Rev. Lett. 83, 296–299 (1999).
[CrossRef]

Fleischer, J. W.

D. Rand, I. Glesk, C.-S. Brés, D. A. Nolan, X. Chen, J. Koh, J. W. Fleischer, K. Steiglitz, and P. R. Prucnal, “Observation of temporal vector soliton propagation and collision in birefringent fiber,” Phys. Rev. Lett. 98, 053902 (2007).
[CrossRef]

Garanovich, I.

Garanovich, I. L.

Geisser, M.

W. Krolikowski, E. A. Ostrovskaya, C. Weilnau, M. Geisser, G. McCarthy, Y. S. Kivshar, C. Denz, and B. Luther-Davies, “Observation of dipole-mode vector solitons,” Phys. Rev. Lett. 85, 1424–1427 (2000).
[CrossRef]

Glesk, I.

D. Rand, I. Glesk, C.-S. Brés, D. A. Nolan, X. Chen, J. Koh, J. W. Fleischer, K. Steiglitz, and P. R. Prucnal, “Observation of temporal vector soliton propagation and collision in birefringent fiber,” Phys. Rev. Lett. 98, 053902 (2007).
[CrossRef]

Hache, A.

He, Y.

He, Y. J.

Hizanidis, K.

Y. Kominis and K. Hizanidis, “Power-dependent reflection, transmission, and trapping dynamics of lattice solitons at interfaces,” Phys. Rev. Lett. 102, 133903 (2009).
[CrossRef]

Hu, B.

Huang, C.

C. Huang, J. Zheng, S. Zhong, and L. Dong, “Interface kink solitons in defocusing saturable nonlinear media,” Opt. Commun. 284, 4225–4228 (2011).
[CrossRef]

Hudock, J.

Joseph, R. I.

Kang, J. U.

J. U. Kang, G. I. Stegeman, J. S. Aitchison, and N. Akhmediev, “Observation of Manakov spatial solitons in AlGaAs planar waveguides,” Phys. Rev. Lett. 76, 3699–3702 (1996).
[CrossRef]

Kartashov, Y. V.

Kivshar, Y. S.

D. Mihalache, D. Mazilu, F. Lederer, and Y. S. Kivshar, “Stable discrete surface light bullets,” Opt. Express 15, 589–595(2007).
[CrossRef]

D. Mihalache, D. Mazilu, F. Lederer, and Y. S. Kivshar, “Spatiotemporal surface solitons in two-dimensional photonic lattices,” Opt. Lett. 32, 3173–3175 (2007).
[CrossRef]

M. I. Molina, I. L. Garanovich, A. A. Sukhorukov, and Y. S. Kivshar, “Discrete surface solitons in semi-infinite binary waveguide arrays,” Opt. Lett. 31, 2332–2334 (2006).
[CrossRef]

M. I. Rodas-Verde, H. Michinel, and Y. S. Kivshar, “Dynamics of vector solitons and vortices in two-dimensional photonic lattices,” Opt. Lett. 31, 607–609 (2006).
[CrossRef]

I. Garanovich, A. A. Sukhorukov, Y. S. Kivshar, and M. Molina, “Surface multi-gap vector solitons,” Opt. Express 14, 4780–4785 (2006).
[CrossRef]

J. N. Malmberg, A. H. Carlsson, D. Anderson, M. Lisak, E. A. Ostrovskaya, and Y. S. Kivshar, “Vector solitons in (2+1) dimensions,” Opt. Lett. 25, 643–645 (2000).
[CrossRef]

W. Krolikowski, E. A. Ostrovskaya, C. Weilnau, M. Geisser, G. McCarthy, Y. S. Kivshar, C. Denz, and B. Luther-Davies, “Observation of dipole-mode vector solitons,” Phys. Rev. Lett. 85, 1424–1427 (2000).
[CrossRef]

E. A. Ostrovskaya, Y. S. Kivshar, D. V. Skryabin, and W. J. Firth, “Stability of multihump optical solitons,” Phys. Rev. Lett. 83, 296–299 (1999).
[CrossRef]

Y. S. Kivshar and B. A. Malomed, “Raman-induced optical shocks in nonlinear fibers,” Opt. Lett. 18, 485–487 (1993).
[CrossRef]

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

Koh, J.

D. Rand, I. Glesk, C.-S. Brés, D. A. Nolan, X. Chen, J. Koh, J. W. Fleischer, K. Steiglitz, and P. R. Prucnal, “Observation of temporal vector soliton propagation and collision in birefringent fiber,” Phys. Rev. Lett. 98, 053902 (2007).
[CrossRef]

Kominis, Y.

Y. Kominis and K. Hizanidis, “Power-dependent reflection, transmission, and trapping dynamics of lattice solitons at interfaces,” Phys. Rev. Lett. 102, 133903 (2009).
[CrossRef]

Krolikowski, W.

W. Krolikowski, E. A. Ostrovskaya, C. Weilnau, M. Geisser, G. McCarthy, Y. S. Kivshar, C. Denz, and B. Luther-Davies, “Observation of dipole-mode vector solitons,” Phys. Rev. Lett. 85, 1424–1427 (2000).
[CrossRef]

Królikowski, W.

N. Akhmediev, W. Królikowski, and A. W. Snyder, “Partially coherent solitons of variable shape,” Phys. Rev. Lett. 81, 4632–4635 (1998).
[CrossRef]

Lederer, F.

Lisak, M.

Luther-Davies, B.

W. Krolikowski, E. A. Ostrovskaya, C. Weilnau, M. Geisser, G. McCarthy, Y. S. Kivshar, C. Denz, and B. Luther-Davies, “Observation of dipole-mode vector solitons,” Phys. Rev. Lett. 85, 1424–1427 (2000).
[CrossRef]

Makasyuk, I.

Makris, K. G.

Malmberg, J. N.

Malomed, B. A.

Manela, O.

Mazilu, D.

McCarthy, G.

W. Krolikowski, E. A. Ostrovskaya, C. Weilnau, M. Geisser, G. McCarthy, Y. S. Kivshar, C. Denz, and B. Luther-Davies, “Observation of dipole-mode vector solitons,” Phys. Rev. Lett. 85, 1424–1427 (2000).
[CrossRef]

Michinel, H.

M. I. Rodas-Verde, H. Michinel, and Y. S. Kivshar, “Dynamics of vector solitons and vortices in two-dimensional photonic lattices,” Opt. Lett. 31, 607–609 (2006).
[CrossRef]

J. Babarro, M. J. Paz-Alonso, H. Michinel, J. R. Salgueiro, and D. N. Olivieri, “Controllable scattering of vector Bose–Einstein solitons,” Phys. Rev. A 71, 043608 (2005).
[CrossRef]

G. D. Montesinos, V. M. Pérez-García, and H. Michinel, “Stabilized two-dimensional vector solitons,” Phys. Rev. Lett. 92, 133901 (2004).
[CrossRef]

Mihalache, D.

Mitchell, M.

M. Mitchell, M. Segev, and D. N. Christodoulides, “Observation of multihump multimode solitons,” Phys. Rev. Lett. 80, 4657–4660 (1998).
[CrossRef]

Molina, M.

Molina, M. I.

Montesinos, G. D.

G. D. Montesinos, V. M. Pérez-García, and H. Michinel, “Stabilized two-dimensional vector solitons,” Phys. Rev. Lett. 92, 133901 (2004).
[CrossRef]

Nolan, D. A.

D. Rand, I. Glesk, C.-S. Brés, D. A. Nolan, X. Chen, J. Koh, J. W. Fleischer, K. Steiglitz, and P. R. Prucnal, “Observation of temporal vector soliton propagation and collision in birefringent fiber,” Phys. Rev. Lett. 98, 053902 (2007).
[CrossRef]

Olivieri, D. N.

J. Babarro, M. J. Paz-Alonso, H. Michinel, J. R. Salgueiro, and D. N. Olivieri, “Controllable scattering of vector Bose–Einstein solitons,” Phys. Rev. A 71, 043608 (2005).
[CrossRef]

Ostrovskaya, E. A.

W. Krolikowski, E. A. Ostrovskaya, C. Weilnau, M. Geisser, G. McCarthy, Y. S. Kivshar, C. Denz, and B. Luther-Davies, “Observation of dipole-mode vector solitons,” Phys. Rev. Lett. 85, 1424–1427 (2000).
[CrossRef]

J. N. Malmberg, A. H. Carlsson, D. Anderson, M. Lisak, E. A. Ostrovskaya, and Y. S. Kivshar, “Vector solitons in (2+1) dimensions,” Opt. Lett. 25, 643–645 (2000).
[CrossRef]

E. A. Ostrovskaya, Y. S. Kivshar, D. V. Skryabin, and W. J. Firth, “Stability of multihump optical solitons,” Phys. Rev. Lett. 83, 296–299 (1999).
[CrossRef]

Paz-Alonso, M. J.

J. Babarro, M. J. Paz-Alonso, H. Michinel, J. R. Salgueiro, and D. N. Olivieri, “Controllable scattering of vector Bose–Einstein solitons,” Phys. Rev. A 71, 043608 (2005).
[CrossRef]

Pelinovsky, D. E.

J. Yang and D. E. Pelinovsky, “Stable vortex and dipole vector solitons in a saturable nonlinear medium,” Phys. Rev. E 67, 016608 (2003).
[CrossRef]

Pérez-García, V. M.

G. D. Montesinos, V. M. Pérez-García, and H. Michinel, “Stabilized two-dimensional vector solitons,” Phys. Rev. Lett. 92, 133901 (2004).
[CrossRef]

Prucnal, P. R.

D. Rand, I. Glesk, C.-S. Brés, D. A. Nolan, X. Chen, J. Koh, J. W. Fleischer, K. Steiglitz, and P. R. Prucnal, “Observation of temporal vector soliton propagation and collision in birefringent fiber,” Phys. Rev. Lett. 98, 053902 (2007).
[CrossRef]

Rand, D.

D. Rand, I. Glesk, C.-S. Brés, D. A. Nolan, X. Chen, J. Koh, J. W. Fleischer, K. Steiglitz, and P. R. Prucnal, “Observation of temporal vector soliton propagation and collision in birefringent fiber,” Phys. Rev. Lett. 98, 053902 (2007).
[CrossRef]

Rodas-Verde, M. I.

Salgueiro, J. R.

J. Babarro, M. J. Paz-Alonso, H. Michinel, J. R. Salgueiro, and D. N. Olivieri, “Controllable scattering of vector Bose–Einstein solitons,” Phys. Rev. A 71, 043608 (2005).
[CrossRef]

Segev, M.

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

G. I. Stegeman and M. Segev, “Optical spatial solitons and their interactions: universality and diversity,” Science 286, 1518–1523 (1999).
[CrossRef]

M. Mitchell, M. Segev, and D. N. Christodoulides, “Observation of multihump multimode solitons,” Phys. Rev. Lett. 80, 4657–4660 (1998).
[CrossRef]

Skryabin, D. V.

E. A. Ostrovskaya, Y. S. Kivshar, D. V. Skryabin, and W. J. Firth, “Stability of multihump optical solitons,” Phys. Rev. Lett. 83, 296–299 (1999).
[CrossRef]

Snyder, A. W.

N. Akhmediev, W. Królikowski, and A. W. Snyder, “Partially coherent solitons of variable shape,” Phys. Rev. Lett. 81, 4632–4635 (1998).
[CrossRef]

Stegeman, G. I.

X. Wang, A. Bezryadina, Z. Chen, K. G. Makris, D. N. Christodoulides, and G. I. Stegeman, “Observation of two-dimensional surface solitons,” Phys. Rev. Lett. 98, 123903 (2007).
[CrossRef]

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

K. G. Makris, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and A. Hache, “Discrete surface solitons,” Opt. Lett. 30, 2466–2468 (2005).
[CrossRef]

G. I. Stegeman and M. Segev, “Optical spatial solitons and their interactions: universality and diversity,” Science 286, 1518–1523 (1999).
[CrossRef]

J. U. Kang, G. I. Stegeman, J. S. Aitchison, and N. Akhmediev, “Observation of Manakov spatial solitons in AlGaAs planar waveguides,” Phys. Rev. Lett. 76, 3699–3702 (1996).
[CrossRef]

Steiglitz, K.

D. Rand, I. Glesk, C.-S. Brés, D. A. Nolan, X. Chen, J. Koh, J. W. Fleischer, K. Steiglitz, and P. R. Prucnal, “Observation of temporal vector soliton propagation and collision in birefringent fiber,” Phys. Rev. Lett. 98, 053902 (2007).
[CrossRef]

Sukhorukov, A. A.

Suntsov, S.

Tan, Y.

J. Yang and Y. Tan, “Fractal structure in the collision of vector solitons,” Phys. Rev. Lett. 85, 3624–3627 (2000).
[CrossRef]

Tang, D. Y.

D. Y. Tang, H. Zhang, L. M. Zhao, and X. Wu, “Observation of high-order polarization-locked vector solitons in a fiber laser,” Phys. Rev. Lett. 101, 153904 (2008).
[CrossRef]

Torner, L.

Vysloukh, V. A.

Wabnitz, S.

Wang, H. Z.

Wang, X.

X. Wang, A. Bezryadina, Z. Chen, K. G. Makris, D. N. Christodoulides, and G. I. Stegeman, “Observation of two-dimensional surface solitons,” Phys. Rev. Lett. 98, 123903 (2007).
[CrossRef]

Weilnau, C.

W. Krolikowski, E. A. Ostrovskaya, C. Weilnau, M. Geisser, G. McCarthy, Y. S. Kivshar, C. Denz, and B. Luther-Davies, “Observation of dipole-mode vector solitons,” Phys. Rev. Lett. 85, 1424–1427 (2000).
[CrossRef]

Wu, X.

D. Y. Tang, H. Zhang, L. M. Zhao, and X. Wu, “Observation of high-order polarization-locked vector solitons in a fiber laser,” Phys. Rev. Lett. 101, 153904 (2008).
[CrossRef]

Yang, J.

Z. Chen, A. Bezryadina, I. Makasyuk, and J. Yang, “Observation of two-dimensional lattice vector solitons,” Opt. Lett. 29, 1656–1658 (2004).
[CrossRef]

J. Yang and D. E. Pelinovsky, “Stable vortex and dipole vector solitons in a saturable nonlinear medium,” Phys. Rev. E 67, 016608 (2003).
[CrossRef]

J. Yang and Y. Tan, “Fractal structure in the collision of vector solitons,” Phys. Rev. Lett. 85, 3624–3627 (2000).
[CrossRef]

Ye, F.

Zelenina, A. S.

Y. V. Kartashov, A. S. Zelenina, V. A. Vysloukh, and L. Torner, “Stabilization of vector solitons in optical lattices,” Phys. Rev. E 70, 066623 (2004).
[CrossRef]

Zhang, H.

D. Y. Tang, H. Zhang, L. M. Zhao, and X. Wu, “Observation of high-order polarization-locked vector solitons in a fiber laser,” Phys. Rev. Lett. 101, 153904 (2008).
[CrossRef]

Zhao, L. M.

D. Y. Tang, H. Zhang, L. M. Zhao, and X. Wu, “Observation of high-order polarization-locked vector solitons in a fiber laser,” Phys. Rev. Lett. 101, 153904 (2008).
[CrossRef]

Zheng, J.

C. Huang, J. Zheng, S. Zhong, and L. Dong, “Interface kink solitons in defocusing saturable nonlinear media,” Opt. Commun. 284, 4225–4228 (2011).
[CrossRef]

Zhong, S.

C. Huang, J. Zheng, S. Zhong, and L. Dong, “Interface kink solitons in defocusing saturable nonlinear media,” Opt. Commun. 284, 4225–4228 (2011).
[CrossRef]

Opt. Commun. (1)

C. Huang, J. Zheng, S. Zhong, and L. Dong, “Interface kink solitons in defocusing saturable nonlinear media,” Opt. Commun. 284, 4225–4228 (2011).
[CrossRef]

Opt. Express (5)

Opt. Lett. (14)

F. Ye, Y. V. Kartashov, and L. Torner, “Vector soliton fission by reflection at nonlinear interfaces,” Opt. Lett. 32, 394–396 (2007).
[CrossRef]

D. Mihalache, D. Mazilu, F. Lederer, and Y. S. Kivshar, “Spatiotemporal surface solitons in two-dimensional photonic lattices,” Opt. Lett. 32, 3173–3175 (2007).
[CrossRef]

S. Wabnitz, “Chiral polarization solitons in elliptically birefringent spun optical fibers,” Opt. Lett. 34, 908–910 (2009).
[CrossRef]

Y. V. Kartashov, B. A. Malomed, V. A. Vysloukh, and L. Torner, “Vector solitons in nonlinear lattices,” Opt. Lett. 34, 3625–3627 (2009).
[CrossRef]

Y. He, D. Mihalache, and B. Hu, “Soliton drift, rebound, penetration, and trapping at the interface between media with uniform and spatially modulated nonlinearities,” Opt. Lett. 35, 1716–1718 (2010).
[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, D. Mihalache, and L. Torner, “Generation of surface soliton arrays,” Opt. Lett. 31, 2329–2331(2006).
[CrossRef]

M. I. Molina, I. L. Garanovich, A. A. Sukhorukov, and Y. S. Kivshar, “Discrete surface solitons in semi-infinite binary waveguide arrays,” Opt. Lett. 31, 2332–2334 (2006).
[CrossRef]

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

J. N. Malmberg, A. H. Carlsson, D. Anderson, M. Lisak, E. A. Ostrovskaya, and Y. S. Kivshar, “Vector solitons in (2+1) dimensions,” Opt. Lett. 25, 643–645 (2000).
[CrossRef]

D. N. Christodoulides and R. I. Joseph, “Vector solitons in birefringent nonlinear dispersive media,” Opt. Lett. 13, 53–55 (1988).
[CrossRef]

Y. S. Kivshar and B. A. Malomed, “Raman-induced optical shocks in nonlinear fibers,” Opt. Lett. 18, 485–487 (1993).
[CrossRef]

Z. Chen, A. Bezryadina, I. Makasyuk, and J. Yang, “Observation of two-dimensional lattice vector solitons,” Opt. Lett. 29, 1656–1658 (2004).
[CrossRef]

K. G. Makris, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and A. Hache, “Discrete surface solitons,” Opt. Lett. 30, 2466–2468 (2005).
[CrossRef]

M. I. Rodas-Verde, H. Michinel, and Y. S. Kivshar, “Dynamics of vector solitons and vortices in two-dimensional photonic lattices,” Opt. Lett. 31, 607–609 (2006).
[CrossRef]

Phys. Rev. A (1)

J. Babarro, M. J. Paz-Alonso, H. Michinel, J. R. Salgueiro, and D. N. Olivieri, “Controllable scattering of vector Bose–Einstein solitons,” Phys. Rev. A 71, 043608 (2005).
[CrossRef]

Phys. Rev. E (2)

J. Yang and D. E. Pelinovsky, “Stable vortex and dipole vector solitons in a saturable nonlinear medium,” Phys. Rev. E 67, 016608 (2003).
[CrossRef]

Y. V. Kartashov, A. S. Zelenina, V. A. Vysloukh, and L. Torner, “Stabilization of vector solitons in optical lattices,” Phys. Rev. E 70, 066623 (2004).
[CrossRef]

Phys. Rev. Lett. (12)

J. U. Kang, G. I. Stegeman, J. S. Aitchison, and N. Akhmediev, “Observation of Manakov spatial solitons in AlGaAs planar waveguides,” Phys. Rev. Lett. 76, 3699–3702 (1996).
[CrossRef]

N. Akhmediev, W. Królikowski, and A. W. Snyder, “Partially coherent solitons of variable shape,” Phys. Rev. Lett. 81, 4632–4635 (1998).
[CrossRef]

W. Krolikowski, E. A. Ostrovskaya, C. Weilnau, M. Geisser, G. McCarthy, Y. S. Kivshar, C. Denz, and B. Luther-Davies, “Observation of dipole-mode vector solitons,” Phys. Rev. Lett. 85, 1424–1427 (2000).
[CrossRef]

D. Rand, I. Glesk, C.-S. Brés, D. A. Nolan, X. Chen, J. Koh, J. W. Fleischer, K. Steiglitz, and P. R. Prucnal, “Observation of temporal vector soliton propagation and collision in birefringent fiber,” Phys. Rev. Lett. 98, 053902 (2007).
[CrossRef]

D. Y. Tang, H. Zhang, L. M. Zhao, and X. Wu, “Observation of high-order polarization-locked vector solitons in a fiber laser,” Phys. Rev. Lett. 101, 153904 (2008).
[CrossRef]

J. Yang and Y. Tan, “Fractal structure in the collision of vector solitons,” Phys. Rev. Lett. 85, 3624–3627 (2000).
[CrossRef]

E. A. Ostrovskaya, Y. S. Kivshar, D. V. Skryabin, and W. J. Firth, “Stability of multihump optical solitons,” Phys. Rev. Lett. 83, 296–299 (1999).
[CrossRef]

M. Mitchell, M. Segev, and D. N. Christodoulides, “Observation of multihump multimode solitons,” Phys. Rev. Lett. 80, 4657–4660 (1998).
[CrossRef]

G. D. Montesinos, V. M. Pérez-García, and H. Michinel, “Stabilized two-dimensional vector solitons,” Phys. Rev. Lett. 92, 133901 (2004).
[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Surface gap solitons,” Phys. Rev. Lett. 96, 073901 (2006).
[CrossRef]

X. Wang, A. Bezryadina, Z. Chen, K. G. Makris, D. N. Christodoulides, and G. I. Stegeman, “Observation of two-dimensional surface solitons,” Phys. Rev. Lett. 98, 123903 (2007).
[CrossRef]

Y. Kominis and K. Hizanidis, “Power-dependent reflection, transmission, and trapping dynamics of lattice solitons at interfaces,” Phys. Rev. Lett. 102, 133903 (2009).
[CrossRef]

Rom. Rep. Phys. (1)

D. Mihalache, “Discrete light bullets in one- and two-dimensional photonic lattices: collision scenarios,” Rom. Rep. Phys. 62, 99–114 (2010).

Science (1)

G. I. Stegeman and M. Segev, “Optical spatial solitons and their interactions: universality and diversity,” Science 286, 1518–1523 (1999).
[CrossRef]

Other (2)

G. P. Agrawal, Nonlinear Fiber Optics (Academic, 1995).

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

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Figures (5)

Fig. 1.
Fig. 1.

(a) Bandgap lattice spectrum. Bands are shown in gray; gaps are shown in white. (b) Domains of stability and instability (shaded) on the (p, b1) plane for vector kink solitons. (c) Total reduced energy versus b1 at different p values. (d) Reduced energy sharing between the soliton components versus b1 at p=4.0. (e), (f) Profiles of vector kink solitons marked in (d). Gray regions correspond to R(x)>1; white regions correspond to R(x)1. b2=1.5 in (b)–(f) and Ω=6 in all panels.

Fig. 2.
Fig. 2.

Spectra of the linearization operator for vector solitons at p=2.25 (a) and 4.5 (c) marked by solid circles in Fig. 1(b). (b), (d) Propagation simulations corresponding to (a), (c). b1=1.6, b2=1.5 in all panels.

Fig. 3.
Fig. 3.

(a) Domains of existence and instability (shaded) on the (p, b1) plane for vector solitons. Dashed lines denote the critical b1 values. (b) Total reduced energy versus b1 at different p values. (c) Reduced energy sharing between the soliton components versus b1 at p=3.4. (d)–(f) Profiles of vector solitons marked in (c). (g) Perturbation growth rate versus b1 at p=2.79. (h) Spectrum of the linearization operator for soliton marked in (g). b2=1.5 in all panels.

Fig. 4.
Fig. 4.

(a) Domains of stability and instability (shaded) on the (b1, b2) plane for vector solitons. (b) Total reduced energy versus b2 at different b1. (c) Reduced energy sharing between the soliton components versus b2 at b1=1.2. (d) Perturbation growth rates versus b2 at b1=1.5 and 0.6 (inset). (e), (f) Profiles of vector solitons marked in (c). p=5 in (a)–(f).

Fig. 5.
Fig. 5.

(a) Spectrum of the linearization operator for vector soliton. Propagation simulations of unstable (b) and stable (c) vector kink solitons marked in Fig. 4(a). (a), (b) b1=1.5, b2=0.38. (c) b1=0.2, b2=0.01. (d) Pedestal height of the first and second components of three families of vector solitons at b2=1.5 versus b1. p=5 in (a)–(c).

Equations (4)

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iq1z=122q1x2+q1(|q1|2+C|q2|2)pR(x)q1,iq2z=122q2x2+q2(C|q1|2+|q2|2)pR(x)q2,
12d2w1dx2b1w1w1(|w1|2+C|w2|2)+pRw1=0,12d2w2dx2b2w2w2(C|w1|2+|w2|2)+pRw2=0.
λu1=12d2v1dx2+(w12+Cw22+b1)v1pRv1,λv1=12d2u1dx2(3w12+Cw22+b1)u12Cw1w2u2+pRu1,λu2=12d2v2dx2+(w22+Cw12+b2)v2pRv2,λv2=12d2u2dx2(3w22+Cw12+b2)u22Cw1w2u1+pRu2.
Ur=Ur1+Ur2=[w1(x)PH1·H(x)]2dx+[w2(x)PH2·H(x)]2dx

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