Abstract

We elucidate the properties of mixed-gap vector surface solitons supported by the interface between a uniform medium and an optical lattice imprinted in a Kerr-type nonlinear media. The components of such mixed-gap solitons emerge from different gaps of lattice spectrum and their mutual trapping results in the formation of stable vector states. The unstable soliton component is stabilized by the cross-coupling with the stable component. We show that vector mixed-gap surface solitons exhibit a new combination of properties of vectorial surface waves and gap solitons.

© 2006 Optical Society of America

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    [CrossRef] [PubMed]
  4. Z. Chen, M. Segev, T. H. Coskun, D. N. Christodoulides, and Y. S. Kivshar, "Coupled photorefractive spatial-soliton pairs," J. Opt. Soc. Am. B 14, 3066 (1997).
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  7. E. A. Ostrovskaya, Y. S. Kivshar, D. V. Skryabin, and W. J. Firth, "Stability of multihump optical solitons," Phys. Rev. Lett. 83, 296 (1999).
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2006 (2)

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

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

2005 (2)

2004 (2)

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

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

2003 (4)

J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Dis-crete vector solitons in Kerr nonlinear waveguide arrays," Phys. Rev. Lett. 91, 143907 (2003).
[CrossRef] [PubMed]

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Observation of mutually trapped multiband optical breathers in waveguide arrays," Phys. Rev. Lett. 90, 253902 (2003).
[CrossRef] [PubMed]

O. Cohen, T. Schwartz, J. W. Fleischer, M. Segev, and D. N. Christodoulides, "Multiband vector lattice solitons," Phys. Rev. Lett. 91, 113901 (2003).
[CrossRef] [PubMed]

A. A. Sukhorukov and Y. S. Kivshar, "Multigap discrete vector solitons," Phys. Rev. Lett. 91, 113902 (2003).
[CrossRef] [PubMed]

1999 (2)

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

J. Schöllmann, R. Scheibenzuber, A. S. Kovalev, A. P. Mayer, and A. A. Maradudin, "Stability of stationary gap solitary waves at periodically modulated surfaces," Phys. Rev. E 59, 4618 (1999).
[CrossRef]

1998 (3)

N. Akhmediev, W. Krolikowski, and A. W. Snyder, "Partially coherent solitons of variable shape," Phys. Rev. Lett. 81, 4632 (1998).
[CrossRef]

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

S. Darmanyan, A. Kobyakov, E. Schmidt, and F. Lederer, "Strongly localized vectorial modes in nonlinear wave-guide arrays," Phys. Rev. E 57, 3520 (1998).
[CrossRef]

1997 (2)

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 (1996).
[CrossRef] [PubMed]

1995 (1)

1989 (1)

D. Mihalache, M. Bertolotti, and C. Sibilia, "Nonlinear wave propagation in planar structures," Prog. Opt. 27, 229 (1989).

1988 (1)

1978 (1)

P. Yeh, A. Yariv, and A. Y. Cho, "Optical surface waves in periodic layered media," Appl. Phys. Lett. 32, 104 (1978).
[CrossRef]

1974 (1)

V. Manakov, "On the theory of two-dimensional stationary self-focusing of electromagnetic waves," Sov. Phys. JETP 38, 248 (1974).

Aitchison, J. S.

J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Dis-crete vector solitons in Kerr nonlinear waveguide arrays," Phys. Rev. Lett. 91, 143907 (2003).
[CrossRef] [PubMed]

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Observation of mutually trapped multiband optical breathers in waveguide arrays," Phys. Rev. Lett. 90, 253902 (2003).
[CrossRef] [PubMed]

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 (1996).
[CrossRef] [PubMed]

Akhmediev, N.

N. Akhmediev, W. Krolikowski, and A. W. Snyder, "Partially coherent solitons of variable shape," Phys. Rev. Lett. 81, 4632 (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 (1996).
[CrossRef] [PubMed]

Bertolotti, M.

D. Mihalache, M. Bertolotti, and C. Sibilia, "Nonlinear wave propagation in planar structures," Prog. Opt. 27, 229 (1989).

Bezryadina, A.

Chen, Z.

Cho, A. Y.

P. Yeh, A. Yariv, and A. Y. Cho, "Optical surface waves in periodic layered media," Appl. Phys. Lett. 32, 104 (1978).
[CrossRef]

Christodoulides, D.

J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Dis-crete vector solitons in Kerr nonlinear waveguide arrays," Phys. Rev. Lett. 91, 143907 (2003).
[CrossRef] [PubMed]

Christodoulides, D. N.

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

K. G. Makris, S. Suntsov, D. N. Christodoulides, and G. I. Stegeman, "Discrete surface solitons," Opt. Lett. 30, 2466 (2005).
[CrossRef] [PubMed]

J. Hudock, S. Suntsov, D. N. Christodoulides, and G. I. Stegeman, "Vector discrete nonlinear surface waves," Opt. Express 13, 7720 (2005).
[CrossRef] [PubMed]

O. Cohen, T. Schwartz, J. W. Fleischer, M. Segev, and D. N. Christodoulides, "Multiband vector lattice solitons," Phys. Rev. Lett. 91, 113901 (2003).
[CrossRef] [PubMed]

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

Z. Chen, M. Segev, T. H. Coskun, D. N. Christodoulides, and Y. S. Kivshar, "Coupled photorefractive spatial-soliton pairs," J. Opt. Soc. Am. B 14, 3066 (1997).
[CrossRef]

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

Cohen, O.

O. Cohen, T. Schwartz, J. W. Fleischer, M. Segev, and D. N. Christodoulides, "Multiband vector lattice solitons," Phys. Rev. Lett. 91, 113901 (2003).
[CrossRef] [PubMed]

Coskun, T. H.

Cronin Golomb, M.

Darmanyan, S.

S. Darmanyan, A. Kobyakov, E. Schmidt, and F. Lederer, "Strongly localized vectorial modes in nonlinear wave-guide arrays," Phys. Rev. E 57, 3520 (1998).
[CrossRef]

Eisenberg, H. S.

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Observation of mutually trapped multiband optical breathers in waveguide arrays," Phys. Rev. Lett. 90, 253902 (2003).
[CrossRef] [PubMed]

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 (1999).
[CrossRef]

Fleischer, J. W.

O. Cohen, T. Schwartz, J. W. Fleischer, M. Segev, and D. N. Christodoulides, "Multiband vector lattice solitons," Phys. Rev. Lett. 91, 113901 (2003).
[CrossRef] [PubMed]

Hache, A.

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

Hudock, J.

J. Hudock, S. Suntsov, D. N. Christodoulides, and G. I. Stegeman, "Vector discrete nonlinear surface waves," Opt. Express 13, 7720 (2005).
[CrossRef] [PubMed]

J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Dis-crete vector solitons in Kerr nonlinear waveguide arrays," Phys. Rev. Lett. 91, 143907 (2003).
[CrossRef] [PubMed]

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 (1996).
[CrossRef] [PubMed]

Kartashov, Y. V.

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

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

Kivshar, Y. S.

A. A. Sukhorukov and Y. S. Kivshar, "Multigap discrete vector solitons," Phys. Rev. Lett. 91, 113902 (2003).
[CrossRef] [PubMed]

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

Z. Chen, M. Segev, T. H. Coskun, D. N. Christodoulides, and Y. S. Kivshar, "Coupled photorefractive spatial-soliton pairs," J. Opt. Soc. Am. B 14, 3066 (1997).
[CrossRef]

Kobyakov, A.

S. Darmanyan, A. Kobyakov, E. Schmidt, and F. Lederer, "Strongly localized vectorial modes in nonlinear wave-guide arrays," Phys. Rev. E 57, 3520 (1998).
[CrossRef]

Kovalev, A. S.

J. Schöllmann, R. Scheibenzuber, A. S. Kovalev, A. P. Mayer, and A. A. Maradudin, "Stability of stationary gap solitary waves at periodically modulated surfaces," Phys. Rev. E 59, 4618 (1999).
[CrossRef]

Krolikowski, W.

N. Akhmediev, W. Krolikowski, and A. W. Snyder, "Partially coherent solitons of variable shape," Phys. Rev. Lett. 81, 4632 (1998).
[CrossRef]

Lederer, F.

S. Darmanyan, A. Kobyakov, E. Schmidt, and F. Lederer, "Strongly localized vectorial modes in nonlinear wave-guide arrays," Phys. Rev. E 57, 3520 (1998).
[CrossRef]

Makasyuk, I.

Makris, K. G.

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

K. G. Makris, S. Suntsov, D. N. Christodoulides, and G. I. Stegeman, "Discrete surface solitons," Opt. Lett. 30, 2466 (2005).
[CrossRef] [PubMed]

Manakov, V.

V. Manakov, "On the theory of two-dimensional stationary self-focusing of electromagnetic waves," Sov. Phys. JETP 38, 248 (1974).

Mandelik, D.

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Observation of mutually trapped multiband optical breathers in waveguide arrays," Phys. Rev. Lett. 90, 253902 (2003).
[CrossRef] [PubMed]

Maradudin, A. A.

J. Schöllmann, R. Scheibenzuber, A. S. Kovalev, A. P. Mayer, and A. A. Maradudin, "Stability of stationary gap solitary waves at periodically modulated surfaces," Phys. Rev. E 59, 4618 (1999).
[CrossRef]

Mayer, A. P.

J. Schöllmann, R. Scheibenzuber, A. S. Kovalev, A. P. Mayer, and A. A. Maradudin, "Stability of stationary gap solitary waves at periodically modulated surfaces," Phys. Rev. E 59, 4618 (1999).
[CrossRef]

Meier, J.

J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Dis-crete vector solitons in Kerr nonlinear waveguide arrays," Phys. Rev. Lett. 91, 143907 (2003).
[CrossRef] [PubMed]

Mihalache, D.

D. Mihalache, M. Bertolotti, and C. Sibilia, "Nonlinear wave propagation in planar structures," Prog. Opt. 27, 229 (1989).

Mitchell, M.

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

Morandotti, R.

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

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Observation of mutually trapped multiband optical breathers in waveguide arrays," Phys. Rev. Lett. 90, 253902 (2003).
[CrossRef] [PubMed]

J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Dis-crete vector solitons in Kerr nonlinear waveguide arrays," Phys. Rev. Lett. 91, 143907 (2003).
[CrossRef] [PubMed]

Ostrovskaya, E. A.

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

Salamo, G.

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

Scheibenzuber, R.

J. Schöllmann, R. Scheibenzuber, A. S. Kovalev, A. P. Mayer, and A. A. Maradudin, "Stability of stationary gap solitary waves at periodically modulated surfaces," Phys. Rev. E 59, 4618 (1999).
[CrossRef]

Schmidt, E.

S. Darmanyan, A. Kobyakov, E. Schmidt, and F. Lederer, "Strongly localized vectorial modes in nonlinear wave-guide arrays," Phys. Rev. E 57, 3520 (1998).
[CrossRef]

Schöllmann, J.

J. Schöllmann, R. Scheibenzuber, A. S. Kovalev, A. P. Mayer, and A. A. Maradudin, "Stability of stationary gap solitary waves at periodically modulated surfaces," Phys. Rev. E 59, 4618 (1999).
[CrossRef]

Schwartz, T.

O. Cohen, T. Schwartz, J. W. Fleischer, M. Segev, and D. N. Christodoulides, "Multiband vector lattice solitons," Phys. Rev. Lett. 91, 113901 (2003).
[CrossRef] [PubMed]

Segev, M.

O. Cohen, T. Schwartz, J. W. Fleischer, M. Segev, and D. N. Christodoulides, "Multiband vector lattice solitons," Phys. Rev. Lett. 91, 113901 (2003).
[CrossRef] [PubMed]

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

Z. Chen, M. Segev, T. H. Coskun, D. N. Christodoulides, and Y. S. Kivshar, "Coupled photorefractive spatial-soliton pairs," J. Opt. Soc. Am. B 14, 3066 (1997).
[CrossRef]

Sibilia, C.

D. Mihalache, M. Bertolotti, and C. Sibilia, "Nonlinear wave propagation in planar structures," Prog. Opt. 27, 229 (1989).

Silberberg, Y.

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Observation of mutually trapped multiband optical breathers in waveguide arrays," Phys. Rev. Lett. 90, 253902 (2003).
[CrossRef] [PubMed]

J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Dis-crete vector solitons in Kerr nonlinear waveguide arrays," Phys. Rev. Lett. 91, 143907 (2003).
[CrossRef] [PubMed]

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 (1999).
[CrossRef]

Snyder, A. W.

N. Akhmediev, W. Krolikowski, and A. W. Snyder, "Partially coherent solitons of variable shape," Phys. Rev. Lett. 81, 4632 (1998).
[CrossRef]

Sorel, M.

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

Stegeman, G.

J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Dis-crete vector solitons in Kerr nonlinear waveguide arrays," Phys. Rev. Lett. 91, 143907 (2003).
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S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Hache, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, "Observation of discrete surface solitons," Phys. Rev. Lett. 96, 063901 (2006).
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[CrossRef] [PubMed]

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[CrossRef] [PubMed]

Suntsov, S.

Torner, L.

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

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

Vysloukh, V. A.

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

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

Yang, H.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Hache, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, "Observation of discrete surface solitons," Phys. Rev. Lett. 96, 063901 (2006).
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Yang, J.

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P. Yeh, A. Yariv, and A. Y. Cho, "Optical surface waves in periodic layered media," Appl. Phys. Lett. 32, 104 (1978).
[CrossRef]

Zelenina, A. S.

Y. V. Kartashov, A. S. Zelenina, V. A. Vysloukh, and L. Torner, "Stabilization of vector solitons in optical latti-ces," Phys. Rev. E 70, 066623 (2004).
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Appl. Phys. Lett. (1)

P. Yeh, A. Yariv, and A. Y. Cho, "Optical surface waves in periodic layered media," Appl. Phys. Lett. 32, 104 (1978).
[CrossRef]

J. Opt. Soc. Am. B (1)

Opt. Express (1)

Opt. Lett. (4)

Phys. Rev. E (3)

Y. V. Kartashov, A. S. Zelenina, V. A. Vysloukh, and L. Torner, "Stabilization of vector solitons in optical latti-ces," Phys. Rev. E 70, 066623 (2004).
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Phys. Rev. Lett. (10)

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

J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Dis-crete vector solitons in Kerr nonlinear waveguide arrays," Phys. Rev. Lett. 91, 143907 (2003).
[CrossRef] [PubMed]

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Observation of mutually trapped multiband optical breathers in waveguide arrays," Phys. Rev. Lett. 90, 253902 (2003).
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A. A. Sukhorukov and Y. S. Kivshar, "Multigap discrete vector solitons," Phys. Rev. Lett. 91, 113902 (2003).
[CrossRef] [PubMed]

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 (1996).
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S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Hache, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, "Observation of discrete surface solitons," Phys. Rev. Lett. 96, 063901 (2006).
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Physica D (1)

J. Yang, "Classification of the solitary waves in coupled nonlinear Schrödinger equations," Physica D 108, 92 (1997).
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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," arXiv: physics/0603202 (2006).

I. L. Garanovich, A. A. Sukhorukov, Y. S. Kivshar, and M. Molina, "Surface multi-gap vector solitons," arxiv: physics/0604031 (2006).

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Figures (4)

Fig. 1.
Fig. 1.

(a) Schematic representation of the loci of the nonlinear propagation constants of the vector surface soliton components in the band-gap lattice spectrum. (b) Total energy flow vs b 2 at p=5. (c) Domain of existence of vector surface solitons at the (b 1,b 2) plane at p=5. (d) Energy sharing between soliton components vs b 2 at b 1=8 and p=5. Focusing medium. Here and throughout the paper we set Ω=4.

Fig. 2.
Fig. 2.

Profiles of mixed-gap vector surface solitons at different propagation constant values. (a) b 1=8, b 2=1.05, (b) b 1=14, b 2=3, (c) b 1=14, b 2=5.7, (d) b 1=5.8, b 2=0.1, (e) b 1=9, b 2=1, (f) b 1=12, b 2=2.6. Panels (a)–(c) correspond to p=5 and focusing medium. Panels (d)–(f) correspond to p=10 and defocusing medium. In gray regions R(η)>1, while in white regions R(η)≤1.

Fig. 3.
Fig. 3.

(a) Representation of the loci of the propagation constants of the vector surface soliton components in the band-gap lattice spectrum. (b) Total energy flow vs b 2 at p=10. (c) Domain of existence of vector surface solitons at the (b 1,b 2) plane at p=10. (d) Energy sharing between soliton components vs b 2 at b 1=12 and p=10. Defocusing medium.

Fig. 4.
Fig. 4.

Stable propagation of mixed-gap surface vector solitons in the presence of white input random perturbations with variance σnoise2=0.01 added to the exact soliton profiles. Panels (a) and (b) show the modulus of the first and second components for a soliton in focusing media with b 1=14, b 2=3, p=5. Panels (c) and (d) show the modulus of the first and second components for a soliton in defocusing media with b 1=9, b 2=1, p=10. Vertical scales are the same for panels (a) and (b) and for panels (c) and (d).

Equations (2)

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i q 1 , 2 ∂ξ = 1 2 2 q 1 , 2 η 2 + σ q 1 , 2 ( q 1 2 + q 2 2 ) p R ( η ) q 1 , 2 .
U = U 1 + U 2 = ( q 1 2 + q 2 2 ) d η .

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