Abstract

We have studied theoretically and experimentally the properties of optical surface modes at the hetero-interface between two meta-materials. These meta-materials consisted of two 1D AlGaAs waveguide arrays with different band structures.

© 2007 Optical Society of America

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References

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  1. I. Tamm, Phys. Z. Sowjetunion1, 733 (1932).
  2. W. Shockley, “On the Surface States Associated with a Periodic Potential,” Phys. Rev. 56, 317-23 (1939).
    [Crossref]
  3. A. A. Maradudin and G. I. Stegeman, “Surface Acoustic Waves,” in Surface Phonons, W. Kress and F. W. De Wette, eds. (Springer-Verlag, Berlin, 1991), pp. 5–35.
  4. V.M. Agranovich and D. L. Mills, Surface Polaritons (North Holland, Amsterdam, 1984).
  5. D.N. Christodoulides, F. Lederer, and Y. Silberberg, “Discretizing light behavior in linear and nonlinear waveguide lattices,” Nature 424, 817 (2003).
    [Crossref] [PubMed]
  6. A.L. Jones, “Coupling of Optical Fibers and Scattering in Fibers,” J. Opt. Soc. Am. 55, 261 (1965).
    [Crossref]
  7. S. Somekh, E. Garmire, A. Yariv, H. Garvin, and R. Hunsperger, “Channel Optical Waveguide Directional Couplers,” Appl. Phys. Lett. 22, 46–48 (1973).
    [Crossref]
  8. P. Yeh, A. Yariv, and A. Y. Cho, “Optical surface waves in periodic layered media,” Appl. Phys. Lett. 32(2), 104–105 (1978).
    [Crossref]
  9. R. Morandotti, H. S. Eisenberg, Y. Silberberg, M. Sorel, and J. S. Aitchison, “Self-Focusing and Defocusing in Waveguide Arrays,” Phys. Rev. Lett. 86, 3296-9 (2001).
    [Crossref] [PubMed]
  10. D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison,“Band-gap structure of waveguide arrays and excitation of Floquet-Bloch Solitons,” Phys. Rev. Lett. 90, 053902 (2003).
    [Crossref] [PubMed]
  11. R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, “Experimental Observation of Linear and Nonlinear Optical Bloch Oscillations,” Phys. Rev. Lett. 83, 4756-9 (1999).
    [Crossref]
  12. R. Iwanow, D. A. May-Arrioja, D. N. Christodoulides, G. I. Stegeman, Y-H Min, and W. Sohler, “Discrete Talbot Effect,” Phys. Rev. Lett. 95, 053902 (2005).
    [Crossref] [PubMed]
  13. U. Peschel, R. Morandotti, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, “Nonlinearly induced escape from a defect state in waveguide arrays,” Appl. Phys. Lett. 75, 1348-50 (1999).
    [Crossref]
  14. R. Morandotti, H. S. Eisenberg, D. Mandelik, Y. Silberberg, D. Modotto, M. Sorel, C. R. Stanley, and J. S. Aitchison, “Interactions of discrete solitons with structural defects,” Opt. Lett. 28, 834–836 (2003).
    [Crossref] [PubMed]
  15. Henrike Trompeter, Ulf Peschel, Thomas Pertsch, Falk Lederer, Ulrich Streppel, Dirk Michaelis, and Andreas Bräuer, “Tailoring guided modes in waveguide arrays,” Opt. Express 11, 3404-11 (2003).
    [Crossref] [PubMed]
  16. K. G. Makris, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and Alain Hache, “Discrete surface solitons,” Opt. Lett. 30, 2466-68 (2005).
    [Crossref] [PubMed]
  17. S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Hache, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, “Observation of surface discrete solitons,” Phys. Rev. Lett. 96, 063901 (2006).
    [Crossref] [PubMed]
  18. G. A. Siviloglou, K. G. Makris, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, Y.-H. Min, and W. Sohler, “Observation of discrete quadratic surface solitons,” Opt. Express 14, 5508-16 (2006).
    [Crossref] [PubMed]
  19. 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, 2338–2340 (2006).
    [Crossref] [PubMed]
  20. C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Yu. S. Kivshar, “Observation of surface gap solitons in semi-infinite waveguide arrays,” Phys. Rev. Lett. 97, 083901 (2006).
    [Crossref] [PubMed]
  21. A. A. Maradudin, “Nonlinear surface electromagnetic waves,” in Optical and Acoustic Waves in Solids-Modern Topics, (World Scientific, Singapore, 1983), pp. 72–142.
  22. U. Langbein, F. Lederer, and H. E. Ponath, “A new type of nonlinear slab-guided waves,” Opt. Commun. 46, 167–169 (1983).
    [Crossref]
  23. N. N. Akhmediev, V. I. Korneev, and Y. V. Kuz’menko, “Excitation of nonlinear surface waves by Gaussian light beams,” Sov. Phys. JETP 61, 62–67 (1985).
  24. K.G. Makris, J. Hudock, D.N. Christodoulides, G.I. Stegeman, O. Manela, and M. Segev, “Surface lattice solitons,” Opt. Lett. 31, 2774-6 (2006).
    [Crossref] [PubMed]
  25. K. Okamoto, Fundamentals of Optical Waveguides (Academic, 2000).
  26. J. Meier, D. Christodoulides, G. I. Stegeman, H. Yang, G. Salamo, R. Morandotti, J. S. Aitchison, and Y. Silberberg, “Wide Beam Stabilities and Instabilities in One Dimensional Arrays of Kerr-Nonlinear Channel Waveguides,” Journal of Optoelectronics Review 13, 75–84 (2005).

2006 (5)

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

G. A. Siviloglou, K. G. Makris, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, Y.-H. Min, and W. Sohler, “Observation of discrete quadratic surface solitons,” Opt. Express 14, 5508-16 (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, 2338–2340 (2006).
[Crossref] [PubMed]

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

K.G. Makris, J. Hudock, D.N. Christodoulides, G.I. Stegeman, O. Manela, and M. Segev, “Surface lattice solitons,” Opt. Lett. 31, 2774-6 (2006).
[Crossref] [PubMed]

2005 (3)

J. Meier, D. Christodoulides, G. I. Stegeman, H. Yang, G. Salamo, R. Morandotti, J. S. Aitchison, and Y. Silberberg, “Wide Beam Stabilities and Instabilities in One Dimensional Arrays of Kerr-Nonlinear Channel Waveguides,” Journal of Optoelectronics Review 13, 75–84 (2005).

K. G. Makris, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and Alain Hache, “Discrete surface solitons,” Opt. Lett. 30, 2466-68 (2005).
[Crossref] [PubMed]

R. Iwanow, D. A. May-Arrioja, D. N. Christodoulides, G. I. Stegeman, Y-H Min, and W. Sohler, “Discrete Talbot Effect,” Phys. Rev. Lett. 95, 053902 (2005).
[Crossref] [PubMed]

2003 (4)

R. Morandotti, H. S. Eisenberg, D. Mandelik, Y. Silberberg, D. Modotto, M. Sorel, C. R. Stanley, and J. S. Aitchison, “Interactions of discrete solitons with structural defects,” Opt. Lett. 28, 834–836 (2003).
[Crossref] [PubMed]

Henrike Trompeter, Ulf Peschel, Thomas Pertsch, Falk Lederer, Ulrich Streppel, Dirk Michaelis, and Andreas Bräuer, “Tailoring guided modes in waveguide arrays,” Opt. Express 11, 3404-11 (2003).
[Crossref] [PubMed]

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

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison,“Band-gap structure of waveguide arrays and excitation of Floquet-Bloch Solitons,” Phys. Rev. Lett. 90, 053902 (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, 3296-9 (2001).
[Crossref] [PubMed]

1999 (2)

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, “Experimental Observation of Linear and Nonlinear Optical Bloch Oscillations,” Phys. Rev. Lett. 83, 4756-9 (1999).
[Crossref]

U. Peschel, R. Morandotti, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, “Nonlinearly induced escape from a defect state in waveguide arrays,” Appl. Phys. Lett. 75, 1348-50 (1999).
[Crossref]

1985 (1)

N. N. Akhmediev, V. I. Korneev, and Y. V. Kuz’menko, “Excitation of nonlinear surface waves by Gaussian light beams,” Sov. Phys. JETP 61, 62–67 (1985).

1983 (1)

U. Langbein, F. Lederer, and H. E. Ponath, “A new type of nonlinear slab-guided waves,” Opt. Commun. 46, 167–169 (1983).
[Crossref]

1978 (1)

P. Yeh, A. Yariv, and A. Y. Cho, “Optical surface waves in periodic layered media,” Appl. Phys. Lett. 32(2), 104–105 (1978).
[Crossref]

1973 (1)

S. Somekh, E. Garmire, A. Yariv, H. Garvin, and R. Hunsperger, “Channel Optical Waveguide Directional Couplers,” Appl. Phys. Lett. 22, 46–48 (1973).
[Crossref]

1965 (1)

1939 (1)

W. Shockley, “On the Surface States Associated with a Periodic Potential,” Phys. Rev. 56, 317-23 (1939).
[Crossref]

Agranovich, V.M.

V.M. Agranovich and D. L. Mills, Surface Polaritons (North Holland, Amsterdam, 1984).

Aitchison, J. S.

J. Meier, D. Christodoulides, G. I. Stegeman, H. Yang, G. Salamo, R. Morandotti, J. S. Aitchison, and Y. Silberberg, “Wide Beam Stabilities and Instabilities in One Dimensional Arrays of Kerr-Nonlinear Channel Waveguides,” Journal of Optoelectronics Review 13, 75–84 (2005).

R. Morandotti, H. S. Eisenberg, D. Mandelik, Y. Silberberg, D. Modotto, M. Sorel, C. R. Stanley, and J. S. Aitchison, “Interactions of discrete solitons with structural defects,” Opt. Lett. 28, 834–836 (2003).
[Crossref] [PubMed]

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison,“Band-gap structure of waveguide arrays and excitation of Floquet-Bloch Solitons,” Phys. Rev. Lett. 90, 053902 (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, 3296-9 (2001).
[Crossref] [PubMed]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, “Experimental Observation of Linear and Nonlinear Optical Bloch Oscillations,” Phys. Rev. Lett. 83, 4756-9 (1999).
[Crossref]

U. Peschel, R. Morandotti, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, “Nonlinearly induced escape from a defect state in waveguide arrays,” Appl. Phys. Lett. 75, 1348-50 (1999).
[Crossref]

Akhmediev, N. N.

N. N. Akhmediev, V. I. Korneev, and Y. V. Kuz’menko, “Excitation of nonlinear surface waves by Gaussian light beams,” Sov. Phys. JETP 61, 62–67 (1985).

Bräuer, Andreas

Cho, A. Y.

P. Yeh, A. Yariv, and A. Y. Cho, “Optical surface waves in periodic layered media,” Appl. Phys. Lett. 32(2), 104–105 (1978).
[Crossref]

Christodoulides, D.

J. Meier, D. Christodoulides, G. I. Stegeman, H. Yang, G. Salamo, R. Morandotti, J. S. Aitchison, and Y. Silberberg, “Wide Beam Stabilities and Instabilities in One Dimensional Arrays of Kerr-Nonlinear Channel Waveguides,” Journal of Optoelectronics Review 13, 75–84 (2005).

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 surface discrete solitons,” Phys. Rev. Lett. 96, 063901 (2006).
[Crossref] [PubMed]

G. A. Siviloglou, K. G. Makris, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, Y.-H. Min, and W. Sohler, “Observation of discrete quadratic surface solitons,” Opt. Express 14, 5508-16 (2006).
[Crossref] [PubMed]

K. G. Makris, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and Alain Hache, “Discrete surface solitons,” Opt. Lett. 30, 2466-68 (2005).
[Crossref] [PubMed]

R. Iwanow, D. A. May-Arrioja, D. N. Christodoulides, G. I. Stegeman, Y-H Min, and W. Sohler, “Discrete Talbot Effect,” Phys. Rev. Lett. 95, 053902 (2005).
[Crossref] [PubMed]

Christodoulides, D.N.

K.G. Makris, J. Hudock, D.N. Christodoulides, G.I. Stegeman, O. Manela, and M. Segev, “Surface lattice solitons,” Opt. Lett. 31, 2774-6 (2006).
[Crossref] [PubMed]

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

Eisenberg, H. S.

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison,“Band-gap structure of waveguide arrays and excitation of Floquet-Bloch Solitons,” Phys. Rev. Lett. 90, 053902 (2003).
[Crossref] [PubMed]

R. Morandotti, H. S. Eisenberg, D. Mandelik, Y. Silberberg, D. Modotto, M. Sorel, C. R. Stanley, and J. S. Aitchison, “Interactions of discrete solitons with structural defects,” Opt. Lett. 28, 834–836 (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, 3296-9 (2001).
[Crossref] [PubMed]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, “Experimental Observation of Linear and Nonlinear Optical Bloch Oscillations,” Phys. Rev. Lett. 83, 4756-9 (1999).
[Crossref]

U. Peschel, R. Morandotti, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, “Nonlinearly induced escape from a defect state in waveguide arrays,” Appl. Phys. Lett. 75, 1348-50 (1999).
[Crossref]

Garmire, E.

S. Somekh, E. Garmire, A. Yariv, H. Garvin, and R. Hunsperger, “Channel Optical Waveguide Directional Couplers,” Appl. Phys. Lett. 22, 46–48 (1973).
[Crossref]

Garvin, H.

S. Somekh, E. Garmire, A. Yariv, H. Garvin, and R. Hunsperger, “Channel Optical Waveguide Directional Couplers,” Appl. Phys. Lett. 22, 46–48 (1973).
[Crossref]

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 surface discrete solitons,” Phys. Rev. Lett. 96, 063901 (2006).
[Crossref] [PubMed]

Hache, Alain

Hudock, J.

Hunsperger, R.

S. Somekh, E. Garmire, A. Yariv, H. Garvin, and R. Hunsperger, “Channel Optical Waveguide Directional Couplers,” Appl. Phys. Lett. 22, 46–48 (1973).
[Crossref]

Iwanow, R.

Jones, A.L.

Kip, D.

Kivshar, Yu. S.

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

Korneev, V. I.

N. N. Akhmediev, V. I. Korneev, and Y. V. Kuz’menko, “Excitation of nonlinear surface waves by Gaussian light beams,” Sov. Phys. JETP 61, 62–67 (1985).

Krolikowski, W.

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

Kuz’menko, Y. V.

N. N. Akhmediev, V. I. Korneev, and Y. V. Kuz’menko, “Excitation of nonlinear surface waves by Gaussian light beams,” Sov. Phys. JETP 61, 62–67 (1985).

Langbein, U.

U. Langbein, F. Lederer, and H. E. Ponath, “A new type of nonlinear slab-guided waves,” Opt. Commun. 46, 167–169 (1983).
[Crossref]

Lederer, F.

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

U. Langbein, F. Lederer, and H. E. Ponath, “A new type of nonlinear slab-guided waves,” Opt. Commun. 46, 167–169 (1983).
[Crossref]

Lederer, Falk

Makris, K. G.

Makris, K.G.

Mandelik, D.

R. Morandotti, H. S. Eisenberg, D. Mandelik, Y. Silberberg, D. Modotto, M. Sorel, C. R. Stanley, and J. S. Aitchison, “Interactions of discrete solitons with structural defects,” Opt. Lett. 28, 834–836 (2003).
[Crossref] [PubMed]

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison,“Band-gap structure of waveguide arrays and excitation of Floquet-Bloch Solitons,” Phys. Rev. Lett. 90, 053902 (2003).
[Crossref] [PubMed]

Manela, O.

Maradudin, A. A.

A. A. Maradudin and G. I. Stegeman, “Surface Acoustic Waves,” in Surface Phonons, W. Kress and F. W. De Wette, eds. (Springer-Verlag, Berlin, 1991), pp. 5–35.

A. A. Maradudin, “Nonlinear surface electromagnetic waves,” in Optical and Acoustic Waves in Solids-Modern Topics, (World Scientific, Singapore, 1983), pp. 72–142.

May-Arrioja, D. A.

R. Iwanow, D. A. May-Arrioja, D. N. Christodoulides, G. I. Stegeman, Y-H Min, and W. Sohler, “Discrete Talbot Effect,” Phys. Rev. Lett. 95, 053902 (2005).
[Crossref] [PubMed]

Meier, J.

J. Meier, D. Christodoulides, G. I. Stegeman, H. Yang, G. Salamo, R. Morandotti, J. S. Aitchison, and Y. Silberberg, “Wide Beam Stabilities and Instabilities in One Dimensional Arrays of Kerr-Nonlinear Channel Waveguides,” Journal of Optoelectronics Review 13, 75–84 (2005).

Michaelis, Dirk

Mills, D. L.

V.M. Agranovich and D. L. Mills, Surface Polaritons (North Holland, Amsterdam, 1984).

Min, Y.-H.

Min, Y-H

R. Iwanow, D. A. May-Arrioja, D. N. Christodoulides, G. I. Stegeman, Y-H Min, and W. Sohler, “Discrete Talbot Effect,” Phys. Rev. Lett. 95, 053902 (2005).
[Crossref] [PubMed]

Mitchell, A.

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

Modotto, D.

Molina, M. I.

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

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 surface discrete solitons,” Phys. Rev. Lett. 96, 063901 (2006).
[Crossref] [PubMed]

J. Meier, D. Christodoulides, G. I. Stegeman, H. Yang, G. Salamo, R. Morandotti, J. S. Aitchison, and Y. Silberberg, “Wide Beam Stabilities and Instabilities in One Dimensional Arrays of Kerr-Nonlinear Channel Waveguides,” Journal of Optoelectronics Review 13, 75–84 (2005).

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison,“Band-gap structure of waveguide arrays and excitation of Floquet-Bloch Solitons,” Phys. Rev. Lett. 90, 053902 (2003).
[Crossref] [PubMed]

R. Morandotti, H. S. Eisenberg, D. Mandelik, Y. Silberberg, D. Modotto, M. Sorel, C. R. Stanley, and J. S. Aitchison, “Interactions of discrete solitons with structural defects,” Opt. Lett. 28, 834–836 (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, 3296-9 (2001).
[Crossref] [PubMed]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, “Experimental Observation of Linear and Nonlinear Optical Bloch Oscillations,” Phys. Rev. Lett. 83, 4756-9 (1999).
[Crossref]

U. Peschel, R. Morandotti, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, “Nonlinearly induced escape from a defect state in waveguide arrays,” Appl. Phys. Lett. 75, 1348-50 (1999).
[Crossref]

Neshev, D. N.

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

Okamoto, K.

K. Okamoto, Fundamentals of Optical Waveguides (Academic, 2000).

Pertsch, Thomas

Peschel, U.

U. Peschel, R. Morandotti, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, “Nonlinearly induced escape from a defect state in waveguide arrays,” Appl. Phys. Lett. 75, 1348-50 (1999).
[Crossref]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, “Experimental Observation of Linear and Nonlinear Optical Bloch Oscillations,” Phys. Rev. Lett. 83, 4756-9 (1999).
[Crossref]

Peschel, Ulf

Ponath, H. E.

U. Langbein, F. Lederer, and H. E. Ponath, “A new type of nonlinear slab-guided waves,” Opt. Commun. 46, 167–169 (1983).
[Crossref]

Rosberg, C. R.

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

Rüter, C. E.

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 surface discrete solitons,” Phys. Rev. Lett. 96, 063901 (2006).
[Crossref] [PubMed]

J. Meier, D. Christodoulides, G. I. Stegeman, H. Yang, G. Salamo, R. Morandotti, J. S. Aitchison, and Y. Silberberg, “Wide Beam Stabilities and Instabilities in One Dimensional Arrays of Kerr-Nonlinear Channel Waveguides,” Journal of Optoelectronics Review 13, 75–84 (2005).

Schiek, R.

Segev, M.

Shandarov, V.

Shockley, W.

W. Shockley, “On the Surface States Associated with a Periodic Potential,” Phys. Rev. 56, 317-23 (1939).
[Crossref]

Silberberg, Y.

J. Meier, D. Christodoulides, G. I. Stegeman, H. Yang, G. Salamo, R. Morandotti, J. S. Aitchison, and Y. Silberberg, “Wide Beam Stabilities and Instabilities in One Dimensional Arrays of Kerr-Nonlinear Channel Waveguides,” Journal of Optoelectronics Review 13, 75–84 (2005).

R. Morandotti, H. S. Eisenberg, D. Mandelik, Y. Silberberg, D. Modotto, M. Sorel, C. R. Stanley, and J. S. Aitchison, “Interactions of discrete solitons with structural defects,” Opt. Lett. 28, 834–836 (2003).
[Crossref] [PubMed]

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

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison,“Band-gap structure of waveguide arrays and excitation of Floquet-Bloch Solitons,” Phys. Rev. Lett. 90, 053902 (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, 3296-9 (2001).
[Crossref] [PubMed]

U. Peschel, R. Morandotti, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, “Nonlinearly induced escape from a defect state in waveguide arrays,” Appl. Phys. Lett. 75, 1348-50 (1999).
[Crossref]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, “Experimental Observation of Linear and Nonlinear Optical Bloch Oscillations,” Phys. Rev. Lett. 83, 4756-9 (1999).
[Crossref]

Siviloglou, G. A.

Smirnov, E.

Sohler, W.

Somekh, S.

S. Somekh, E. Garmire, A. Yariv, H. Garvin, and R. Hunsperger, “Channel Optical Waveguide Directional Couplers,” Appl. Phys. Lett. 22, 46–48 (1973).
[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 surface discrete solitons,” Phys. Rev. Lett. 96, 063901 (2006).
[Crossref] [PubMed]

R. Morandotti, H. S. Eisenberg, D. Mandelik, Y. Silberberg, D. Modotto, M. Sorel, C. R. Stanley, and J. S. Aitchison, “Interactions of discrete solitons with structural defects,” Opt. Lett. 28, 834–836 (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, 3296-9 (2001).
[Crossref] [PubMed]

Stanley, C. R.

Stegeman, G. I.

G. A. Siviloglou, K. G. Makris, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, Y.-H. Min, and W. Sohler, “Observation of discrete quadratic surface solitons,” Opt. Express 14, 5508-16 (2006).
[Crossref] [PubMed]

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

J. Meier, D. Christodoulides, G. I. Stegeman, H. Yang, G. Salamo, R. Morandotti, J. S. Aitchison, and Y. Silberberg, “Wide Beam Stabilities and Instabilities in One Dimensional Arrays of Kerr-Nonlinear Channel Waveguides,” Journal of Optoelectronics Review 13, 75–84 (2005).

R. Iwanow, D. A. May-Arrioja, D. N. Christodoulides, G. I. Stegeman, Y-H Min, and W. Sohler, “Discrete Talbot Effect,” Phys. Rev. Lett. 95, 053902 (2005).
[Crossref] [PubMed]

K. G. Makris, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and Alain Hache, “Discrete surface solitons,” Opt. Lett. 30, 2466-68 (2005).
[Crossref] [PubMed]

A. A. Maradudin and G. I. Stegeman, “Surface Acoustic Waves,” in Surface Phonons, W. Kress and F. W. De Wette, eds. (Springer-Verlag, Berlin, 1991), pp. 5–35.

Stegeman, G.I.

Stepic, M.

Streppel, Ulrich

Suntsov, S.

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

K. G. Makris, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and Alain Hache, “Discrete surface solitons,” Opt. Lett. 30, 2466-68 (2005).
[Crossref] [PubMed]

Tamm, I.

I. Tamm, Phys. Z. Sowjetunion1, 733 (1932).

Trompeter, Henrike

Vicencio, R. A.

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

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 surface discrete solitons,” Phys. Rev. Lett. 96, 063901 (2006).
[Crossref] [PubMed]

J. Meier, D. Christodoulides, G. I. Stegeman, H. Yang, G. Salamo, R. Morandotti, J. S. Aitchison, and Y. Silberberg, “Wide Beam Stabilities and Instabilities in One Dimensional Arrays of Kerr-Nonlinear Channel Waveguides,” Journal of Optoelectronics Review 13, 75–84 (2005).

Yariv, A.

P. Yeh, A. Yariv, and A. Y. Cho, “Optical surface waves in periodic layered media,” Appl. Phys. Lett. 32(2), 104–105 (1978).
[Crossref]

S. Somekh, E. Garmire, A. Yariv, H. Garvin, and R. Hunsperger, “Channel Optical Waveguide Directional Couplers,” Appl. Phys. Lett. 22, 46–48 (1973).
[Crossref]

Yeh, P.

P. Yeh, A. Yariv, and A. Y. Cho, “Optical surface waves in periodic layered media,” Appl. Phys. Lett. 32(2), 104–105 (1978).
[Crossref]

Appl. Phys. Lett. (3)

S. Somekh, E. Garmire, A. Yariv, H. Garvin, and R. Hunsperger, “Channel Optical Waveguide Directional Couplers,” Appl. Phys. Lett. 22, 46–48 (1973).
[Crossref]

P. Yeh, A. Yariv, and A. Y. Cho, “Optical surface waves in periodic layered media,” Appl. Phys. Lett. 32(2), 104–105 (1978).
[Crossref]

U. Peschel, R. Morandotti, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, “Nonlinearly induced escape from a defect state in waveguide arrays,” Appl. Phys. Lett. 75, 1348-50 (1999).
[Crossref]

J. Opt. Soc. Am. (1)

Journal of Optoelectronics Review (1)

J. Meier, D. Christodoulides, G. I. Stegeman, H. Yang, G. Salamo, R. Morandotti, J. S. Aitchison, and Y. Silberberg, “Wide Beam Stabilities and Instabilities in One Dimensional Arrays of Kerr-Nonlinear Channel Waveguides,” Journal of Optoelectronics Review 13, 75–84 (2005).

Nature (1)

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

Opt. Commun. (1)

U. Langbein, F. Lederer, and H. E. Ponath, “A new type of nonlinear slab-guided waves,” Opt. Commun. 46, 167–169 (1983).
[Crossref]

Opt. Express (2)

Opt. Lett. (4)

Phys. Rev. (1)

W. Shockley, “On the Surface States Associated with a Periodic Potential,” Phys. Rev. 56, 317-23 (1939).
[Crossref]

Phys. Rev. Lett. (6)

R. Morandotti, H. S. Eisenberg, Y. Silberberg, M. Sorel, and J. S. Aitchison, “Self-Focusing and Defocusing in Waveguide Arrays,” Phys. Rev. Lett. 86, 3296-9 (2001).
[Crossref] [PubMed]

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison,“Band-gap structure of waveguide arrays and excitation of Floquet-Bloch Solitons,” Phys. Rev. Lett. 90, 053902 (2003).
[Crossref] [PubMed]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, “Experimental Observation of Linear and Nonlinear Optical Bloch Oscillations,” Phys. Rev. Lett. 83, 4756-9 (1999).
[Crossref]

R. Iwanow, D. A. May-Arrioja, D. N. Christodoulides, G. I. Stegeman, Y-H Min, and W. Sohler, “Discrete Talbot Effect,” Phys. Rev. Lett. 95, 053902 (2005).
[Crossref] [PubMed]

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

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

Sov. Phys. JETP (1)

N. N. Akhmediev, V. I. Korneev, and Y. V. Kuz’menko, “Excitation of nonlinear surface waves by Gaussian light beams,” Sov. Phys. JETP 61, 62–67 (1985).

Other (5)

K. Okamoto, Fundamentals of Optical Waveguides (Academic, 2000).

A. A. Maradudin, “Nonlinear surface electromagnetic waves,” in Optical and Acoustic Waves in Solids-Modern Topics, (World Scientific, Singapore, 1983), pp. 72–142.

A. A. Maradudin and G. I. Stegeman, “Surface Acoustic Waves,” in Surface Phonons, W. Kress and F. W. De Wette, eds. (Springer-Verlag, Berlin, 1991), pp. 5–35.

V.M. Agranovich and D. L. Mills, Surface Polaritons (North Holland, Amsterdam, 1984).

I. Tamm, Phys. Z. Sowjetunion1, 733 (1932).

Supplementary Material (1)

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Figures (9)

Fig. 1
Fig. 1

(a) AlGaAs hetero-interface waveguide array composition. (b) Details of the dimensions of the two arrays where d is the separation between the two dissimilar arrays.

Fig. 2.
Fig. 2.

BPM simulations for d = 4 μm when a single boundary channel of the left (a) and right (b) arrays was excited, respectively. The position of the interface is shown by a dashed line; Z is the propagation distance.

Fig. 3.
Fig. 3.

Simulated discrete diffraction intensity patterns when the distance between arrays is decreased. (a), (b) d = 3 μm; (c), (d) d = 2 μm. Boundary channel of the left-side (a), (c) and right-side (b), (d) arrays was excited.

Fig. 4.
Fig. 4.

Intensity patterns observed at the output facet of AlGaAs samples for different separations between two arrays for (a) d = 4 μm, (b) d = 3 μm, and (c) d = 2 μm. Intensity distributions when the first channel of the left (blue curves) and of the right (red curves) array is excited are shown. The position of the interface is shown by a dotted line.

Fig. 5.
Fig. 5.

(a) Band structure of the composite array showing the first order bands of the right-side array (red, top) and of the left-side array (blue, middle), and part of the second order band (red, bottom) of the right-side array. (b) Electric field distribution associated with the interface mode.

Fig. 6.
Fig. 6.

(a) Intensity distribution associated with the interface mode. (b),(d) Numerically obtained BPM results: (b) output intensity and (d) propagation of the beam as would be seen from the top. (c) Intensity pattern of an interface mode observed experimentally at the output of AlGaAs sample.

Fig. 7.
Fig. 7.

(a) The derivative of the first band measured in the middle of the right-side array. (b) The structure of the derivatives of the first bands of the left-side array and of the right-side array with an input beam overlapping the interface. This array showed no interface mode, in agreement with theory. (c) Same as (b) but in an array showing an interface mode identified by the yellow ellipses.

Fig. 8.
Fig. 8.

Movie showing the dependence of the output intensity distribution from a composite array when the relative phase between adjacent channels was varied. Here d = 2 μm. [Media 1]

Fig. 9.
Fig. 9.

The regions of existence for interface modes with unstaggered-unstaggered, staggered-staggered and unstaggered-staggered field distributions for coupled arrays such as AlGaAs hetero-structure at 1550 nm. The position of the experimentally investigated interface mode is shown by a red dot.

Equations (1)

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i U z + 1 2 k 2 U x 2 + k 0 V ( x ) U = 0 ,

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