Abstract

Structuring the coupling constant in coupled waveguide arrays opens up a new route towards molding and controlling the flow of light in discrete structures. We show coupled mode theory is a reliable yet very simple and practical tool to design and explore new structures of patterned coupling constant. We validate our simulation and technological choices by successful fabrication of appropriate III-V semiconductor patterned waveguide arrays. We demonstrate confinement of light in designated areas of one-dimensional semi-conductor waveguide arrays.

© 2009 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. D. N. Christodoulides, F. Lederer, and Y. Silberberg, "Discretizing light behavior in linear and nonlinear waveguide lattices," Nature 424, 817-823 (2003).
    [CrossRef] [PubMed]
  2. J. Fleischer, G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. Efremidis, "Spatial photonics in nonlinear waveguide arrays," Opt. Express 13, 1780-1796 (2005), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-06-1780.
    [CrossRef] [PubMed]
  3. S. Somekh, E. Garmire, A. Yariv, H. L. Garvin, and R. G. Hunsperger, "Channel optical waveguide directional couplers," Appl. Phys. Lett. 22, 46 (1973).
    [CrossRef]
  4. D. N. Christodoulides and R. I. Joseph, "Discrete self-focusing in nonlinear arrays of coupled waveguides," Opt. Lett. 13, 794-796 (1988).
    [CrossRef] [PubMed]
  5. S. Longhi, "Transmission and localization control by ac fields in tight-binding lattices with an impurity," Phys. Rev. B 73, 193305 (2006).
    [CrossRef]
  6. A. Fratalocchi and G. Assanto, "Universal character of the discrete nonlinear Schrödinger equation," Phys. Rev. A 76, 042108 (2007).
    [CrossRef]
  7. T. Pertsch, P. Dannberg, W. Elflein, A. Brauer, and F. Lederer, "Optical Bloch oscillations in temperature tuned waveguide arrays," Phys. Rev. Lett. 83, 4752 (1999).
    [CrossRef]
  8. R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Experimental observation of linear and nonlinear optics Bloch oscillations," Phys. Rev. Lett. 83, 4756 (1999).
    [CrossRef]
  9. M. J. Ablowitz and Z. H. Musslimani, "Discrete diffraction managed spatial solitons," Phys. Rev. Lett. 87, 254102 (2001).
    [CrossRef] [PubMed]
  10. P. Millar, J. S. Aitchison, J. U. Kang, G. I. Stegeman, A. Villeneuve, G. T. Kennedy, and W. Sibbett, "Nonlinear waveguide arrays in AlGaAs," J. Opt. Soc. Am. B 14, 3224 (1997).
    [CrossRef]
  11. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Diffraction Management," Phys. Rev. Lett. 85, 1863 (2000).
    [CrossRef] [PubMed]
  12. A. B. Aceves, C. De Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, "Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays," Phys. Rev. E 53, 1172 (1996).
    [CrossRef]
  13. H. S. Eisenberg, Y. Silberberg, R. Morandotti, R. Boyd and J. S. Aitchison, "Discrete spatial optical solitons in waveguide arrays," Phys. Rev. Lett. 81, 3383-3386 (1998).
    [CrossRef]
  14. A. L. Jones, "Coupling of optical fibers and scattering in fibers," J. Opt. Soc. Am. 55, 261 (1965).
    [CrossRef]
  15. S. M. Jensen, "The nonlinear coherent coupler," IEEE J. Quantum Electron. QE- 18, 1580 (1982).
    [CrossRef]
  16. A. B. Aceves and M. Santagiustina, "Bistable and tristable soliton switching in collinear arrays of linearly coupled waveguides," Phys. Rev. E 56, 1113 (1997).
    [CrossRef]
  17. D. N. Christodoulides and E. D. Eugenieva, "Blocking and routing discrete solitons in two-dimensional networks of nonlinear waveguide arrays," Phys. Rev. Lett. 87, 233901 (2001).
    [CrossRef] [PubMed]
  18. W. Królikowski and Y. S. Kivshar, "Soliton-based optical switching in waveguide arrays," J. Opt. Soc. Am. B 13, 876-887 (1996).
    [CrossRef]
  19. W. Królikowski, U. Trutschel, M. Cronin-Golomb, and C. Schmidt-Hattenberger, "Solitonlike optical switching in a circular fiber array," Opt. Lett. 19, 320-322 (1994).
    [CrossRef] [PubMed]
  20. I. Garanovich, A. Sukhorukov, and Y. Kivshar, "Soliton control in modulated optically-induced photonic lattices," Opt. Express 13, 5704-5710 (2005), http://www.opticsexpress.org /abstract.cfm?URI=oe-13-15-5704.
    [CrossRef] [PubMed]
  21. L. Hadzievski, A. Maluckov, M. Stepic, and D. Kip, "Power controlled soliton stability and steering in lattices with saturable nonlinearity," Phys. Rev. Lett. 93, 033901 (2004).
    [CrossRef] [PubMed]
  22. A. B. Aceves, C. De Angelis, S. Trillo, and S. Wabnitz, "Storage and steering of self-trapped discrete solitons in nonlinear waveguide arrays," Opt. Lett. 19, 332-334 (1994).
    [CrossRef] [PubMed]
  23. C. Schmidt-Hattenberger, U. Trutschel, and F. Lederer, "Nonlinear switching in multiple-core couplers," 16, 294-296 (1991).
  24. A. Fratalocchi, G. Assanto, K. A. Brzdakiewicz, and M. A. Karpierz, "All-optical switching and beam steering in tunable waveguide arrays," Appl. Phys. Lett. 86, 051112 (2005).
    [CrossRef]
  25. 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 (1999).
    [CrossRef]
  26. R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Dynamics of discrete solitons in optical waveguide arrays," Phys. Rev. Lett. 83, 2726 (1999).
    [CrossRef]
  27. R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, "Switching of discrete optical solitons in engineered waveguide arrays," Phys. Rev. E 70, 026602 (2004).
    [CrossRef]
  28. O. Bang and P. D. Miller, "Exploiting discreteness for switching in waveguide arrays," Opt. Lett. 21, 1105 (1996).
    [CrossRef] [PubMed]
  29. R. R. A. Syms, "Approximate solution of eigenmode problems for layered coupled arrays," IEEE J. Quantum Electron. QE- 23, 525-532 (1987).
    [CrossRef]
  30. A. Szameit, H. Trompeter, M. Heinrich, F. Dreisow, U. Peschel, T. Pertsch, S. Nolte, F. Lederer, and A. Tünnermann, "Fresnel's laws in discrete optical media", New J. Phys. 10, 103020 (2008).
    [CrossRef]
  31. T. Pertsch, U. Peschel, and F. Lederer, "Discrete solitons in inhomogeneous waveguide arrays," Chaos 13, 744 (2003).
    [CrossRef] [PubMed]
  32. 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 (2003).
    [CrossRef] [PubMed]
  33. M. Matsumoto, S. Katayama, and A. Hasegawa, "Optical switching in nonlinear waveguide arrays with a longitudinally decreasing coupling coefficient," Opt. Lett. 20, 1758 (1995).
    [CrossRef] [PubMed]
  34. S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, Maïte 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, 4663-4670 (2007), http://www.opticsexpress.org/abstract.cfm?URI=oe-15-8-4663.
    [CrossRef] [PubMed]
  35. A. Locatelli, M. Conforti, D. Modotto, and C. De Angelis, "Discrete negative refraction in photonic crystal waveguide arrays," Opt. Lett. 31, 1343-1345 (2006).
    [CrossRef] [PubMed]
  36. D. Modotto, M. Conforti, A. Locatelli, and C. De Angelis, "Imaging properties of multimode photonic crystal waveguides and waveguide arrays," J. Lightwave Technol. 25, 402-409 (2007).
    [CrossRef]
  37. R. Muschall, C. Schmidt-Hattenberger, and F. Lederer, "Spatially solitary waves in arrays of nonlinear waveguides," Opt. Lett. 19, 323-325 (1994).
    [CrossRef] [PubMed]
  38. A. B. Aceves, C. De Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, "Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays," Phys. Rev. E 53, 1172-1189 (1996).
    [CrossRef]
  39. I. Makasyuk, Z. Chen, and J. Yang, "Band-Gap Guidance in Optically Induced Photonic Lattices with a Negative Defect," Phys. Rev. Lett. 96, 223903 (2006).
    [CrossRef] [PubMed]
  40. H. Zhuo, X. Fu, Y. Hu, and S. Wen, "Compensation of the influence of loss for a spatial soliton in a dissipative modulated Bessel optical lattice," J. Opt. Soc. Am. B 24, 2208-2212 (2007).
    [CrossRef]
  41. R. Burioni, D. Cassi, P. Sodano, A. Trombettoni, and A. Vezzani, "Propagation of discrete solitons in inhomogeneous networks," Chaos 15, 043501 (2005).
    [CrossRef]
  42. J. M. Moison and C. Minot, French Patent n° 07 54872 (2007).
  43. E. Kapon, J. Katz, and A. Yariv, "Supermode analysis of phase-locked arrays of semiconductor lasers," Opt. Lett. 9, 125 (1984).
    [CrossRef] [PubMed]
  44. J. M. Moison and C. Minot, French Patent n° 08 05307 (2008).

2008 (1)

A. Szameit, H. Trompeter, M. Heinrich, F. Dreisow, U. Peschel, T. Pertsch, S. Nolte, F. Lederer, and A. Tünnermann, "Fresnel's laws in discrete optical media", New J. Phys. 10, 103020 (2008).
[CrossRef]

2007 (4)

2006 (3)

S. Longhi, "Transmission and localization control by ac fields in tight-binding lattices with an impurity," Phys. Rev. B 73, 193305 (2006).
[CrossRef]

I. Makasyuk, Z. Chen, and J. Yang, "Band-Gap Guidance in Optically Induced Photonic Lattices with a Negative Defect," Phys. Rev. Lett. 96, 223903 (2006).
[CrossRef] [PubMed]

A. Locatelli, M. Conforti, D. Modotto, and C. De Angelis, "Discrete negative refraction in photonic crystal waveguide arrays," Opt. Lett. 31, 1343-1345 (2006).
[CrossRef] [PubMed]

2005 (4)

2004 (2)

R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, "Switching of discrete optical solitons in engineered waveguide arrays," Phys. Rev. E 70, 026602 (2004).
[CrossRef]

L. Hadzievski, A. Maluckov, M. Stepic, and D. Kip, "Power controlled soliton stability and steering in lattices with saturable nonlinearity," Phys. Rev. Lett. 93, 033901 (2004).
[CrossRef] [PubMed]

2003 (3)

D. N. Christodoulides, F. Lederer, and Y. Silberberg, "Discretizing light behavior in linear and nonlinear waveguide lattices," Nature 424, 817-823 (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 (2003).
[CrossRef] [PubMed]

T. Pertsch, U. Peschel, and F. Lederer, "Discrete solitons in inhomogeneous waveguide arrays," Chaos 13, 744 (2003).
[CrossRef] [PubMed]

2001 (2)

M. J. Ablowitz and Z. H. Musslimani, "Discrete diffraction managed spatial solitons," Phys. Rev. Lett. 87, 254102 (2001).
[CrossRef] [PubMed]

D. N. Christodoulides and E. D. Eugenieva, "Blocking and routing discrete solitons in two-dimensional networks of nonlinear waveguide arrays," Phys. Rev. Lett. 87, 233901 (2001).
[CrossRef] [PubMed]

2000 (1)

S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Diffraction Management," Phys. Rev. Lett. 85, 1863 (2000).
[CrossRef] [PubMed]

1999 (4)

T. Pertsch, P. Dannberg, W. Elflein, A. Brauer, and F. Lederer, "Optical Bloch oscillations in temperature tuned waveguide arrays," Phys. Rev. Lett. 83, 4752 (1999).
[CrossRef]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Experimental observation of linear and nonlinear optics Bloch oscillations," Phys. Rev. Lett. 83, 4756 (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 (1999).
[CrossRef]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Dynamics of discrete solitons in optical waveguide arrays," Phys. Rev. Lett. 83, 2726 (1999).
[CrossRef]

1998 (1)

H. S. Eisenberg, Y. Silberberg, R. Morandotti, R. Boyd and J. S. Aitchison, "Discrete spatial optical solitons in waveguide arrays," Phys. Rev. Lett. 81, 3383-3386 (1998).
[CrossRef]

1997 (2)

A. B. Aceves and M. Santagiustina, "Bistable and tristable soliton switching in collinear arrays of linearly coupled waveguides," Phys. Rev. E 56, 1113 (1997).
[CrossRef]

P. Millar, J. S. Aitchison, J. U. Kang, G. I. Stegeman, A. Villeneuve, G. T. Kennedy, and W. Sibbett, "Nonlinear waveguide arrays in AlGaAs," J. Opt. Soc. Am. B 14, 3224 (1997).
[CrossRef]

1996 (4)

O. Bang and P. D. Miller, "Exploiting discreteness for switching in waveguide arrays," Opt. Lett. 21, 1105 (1996).
[CrossRef] [PubMed]

A. B. Aceves, C. De Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, "Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays," Phys. Rev. E 53, 1172-1189 (1996).
[CrossRef]

W. Królikowski and Y. S. Kivshar, "Soliton-based optical switching in waveguide arrays," J. Opt. Soc. Am. B 13, 876-887 (1996).
[CrossRef]

A. B. Aceves, C. De Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, "Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays," Phys. Rev. E 53, 1172 (1996).
[CrossRef]

1995 (1)

1994 (3)

1988 (1)

1987 (1)

R. R. A. Syms, "Approximate solution of eigenmode problems for layered coupled arrays," IEEE J. Quantum Electron. QE- 23, 525-532 (1987).
[CrossRef]

1984 (1)

1982 (1)

S. M. Jensen, "The nonlinear coherent coupler," IEEE J. Quantum Electron. QE- 18, 1580 (1982).
[CrossRef]

1973 (1)

S. Somekh, E. Garmire, A. Yariv, H. L. Garvin, and R. G. Hunsperger, "Channel optical waveguide directional couplers," Appl. Phys. Lett. 22, 46 (1973).
[CrossRef]

1965 (1)

Ablowitz, M. J.

M. J. Ablowitz and Z. H. Musslimani, "Discrete diffraction managed spatial solitons," Phys. Rev. Lett. 87, 254102 (2001).
[CrossRef] [PubMed]

Aceves, A. B.

A. B. Aceves and M. Santagiustina, "Bistable and tristable soliton switching in collinear arrays of linearly coupled waveguides," Phys. Rev. E 56, 1113 (1997).
[CrossRef]

A. B. Aceves, C. De Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, "Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays," Phys. Rev. E 53, 1172 (1996).
[CrossRef]

A. B. Aceves, C. De Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, "Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays," Phys. Rev. E 53, 1172-1189 (1996).
[CrossRef]

A. B. Aceves, C. De Angelis, S. Trillo, and S. Wabnitz, "Storage and steering of self-trapped discrete solitons in nonlinear waveguide arrays," Opt. Lett. 19, 332-334 (1994).
[CrossRef] [PubMed]

Aitchison, J. S.

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 (2003).
[CrossRef] [PubMed]

S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Diffraction Management," Phys. Rev. Lett. 85, 1863 (2000).
[CrossRef] [PubMed]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Experimental observation of linear and nonlinear optics Bloch oscillations," Phys. Rev. Lett. 83, 4756 (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 (1999).
[CrossRef]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Dynamics of discrete solitons in optical waveguide arrays," Phys. Rev. Lett. 83, 2726 (1999).
[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, R. Boyd and J. S. Aitchison, "Discrete spatial optical solitons in waveguide arrays," Phys. Rev. Lett. 81, 3383-3386 (1998).
[CrossRef]

P. Millar, J. S. Aitchison, J. U. Kang, G. I. Stegeman, A. Villeneuve, G. T. Kennedy, and W. Sibbett, "Nonlinear waveguide arrays in AlGaAs," J. Opt. Soc. Am. B 14, 3224 (1997).
[CrossRef]

Assanto, G.

A. Fratalocchi and G. Assanto, "Universal character of the discrete nonlinear Schrödinger equation," Phys. Rev. A 76, 042108 (2007).
[CrossRef]

A. Fratalocchi, G. Assanto, K. A. Brzdakiewicz, and M. A. Karpierz, "All-optical switching and beam steering in tunable waveguide arrays," Appl. Phys. Lett. 86, 051112 (2005).
[CrossRef]

Bang, O.

Bartal, G.

Boyd, R.

H. S. Eisenberg, Y. Silberberg, R. Morandotti, R. Boyd and J. S. Aitchison, "Discrete spatial optical solitons in waveguide arrays," Phys. Rev. Lett. 81, 3383-3386 (1998).
[CrossRef]

Brauer, A.

T. Pertsch, P. Dannberg, W. Elflein, A. Brauer, and F. Lederer, "Optical Bloch oscillations in temperature tuned waveguide arrays," Phys. Rev. Lett. 83, 4752 (1999).
[CrossRef]

Brzdakiewicz, K. A.

A. Fratalocchi, G. Assanto, K. A. Brzdakiewicz, and M. A. Karpierz, "All-optical switching and beam steering in tunable waveguide arrays," Appl. Phys. Lett. 86, 051112 (2005).
[CrossRef]

Buljan, H.

Burioni, R.

R. Burioni, D. Cassi, P. Sodano, A. Trombettoni, and A. Vezzani, "Propagation of discrete solitons in inhomogeneous networks," Chaos 15, 043501 (2005).
[CrossRef]

Cassi, D.

R. Burioni, D. Cassi, P. Sodano, A. Trombettoni, and A. Vezzani, "Propagation of discrete solitons in inhomogeneous networks," Chaos 15, 043501 (2005).
[CrossRef]

Chen, Z.

I. Makasyuk, Z. Chen, and J. Yang, "Band-Gap Guidance in Optically Induced Photonic Lattices with a Negative Defect," Phys. Rev. Lett. 96, 223903 (2006).
[CrossRef] [PubMed]

Christodoulides, D. N.

Cohen, O.

Conforti, M.

Cronin-Golomb, M.

Dannberg, P.

T. Pertsch, P. Dannberg, W. Elflein, A. Brauer, and F. Lederer, "Optical Bloch oscillations in temperature tuned waveguide arrays," Phys. Rev. Lett. 83, 4752 (1999).
[CrossRef]

De Angelis, C.

D. Modotto, M. Conforti, A. Locatelli, and C. De Angelis, "Imaging properties of multimode photonic crystal waveguides and waveguide arrays," J. Lightwave Technol. 25, 402-409 (2007).
[CrossRef]

A. Locatelli, M. Conforti, D. Modotto, and C. De Angelis, "Discrete negative refraction in photonic crystal waveguide arrays," Opt. Lett. 31, 1343-1345 (2006).
[CrossRef] [PubMed]

A. B. Aceves, C. De Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, "Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays," Phys. Rev. E 53, 1172 (1996).
[CrossRef]

A. B. Aceves, C. De Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, "Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays," Phys. Rev. E 53, 1172-1189 (1996).
[CrossRef]

A. B. Aceves, C. De Angelis, S. Trillo, and S. Wabnitz, "Storage and steering of self-trapped discrete solitons in nonlinear waveguide arrays," Opt. Lett. 19, 332-334 (1994).
[CrossRef] [PubMed]

Dreisow, F.

A. Szameit, H. Trompeter, M. Heinrich, F. Dreisow, U. Peschel, T. Pertsch, S. Nolte, F. Lederer, and A. Tünnermann, "Fresnel's laws in discrete optical media", New J. Phys. 10, 103020 (2008).
[CrossRef]

Efremidis, N.

Eisenberg, H. S.

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 (2003).
[CrossRef] [PubMed]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Dynamics of discrete solitons in optical waveguide arrays," Phys. Rev. Lett. 83, 2726 (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 (1999).
[CrossRef]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Experimental observation of linear and nonlinear optics Bloch oscillations," Phys. Rev. Lett. 83, 4756 (1999).
[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, R. Boyd and J. S. Aitchison, "Discrete spatial optical solitons in waveguide arrays," Phys. Rev. Lett. 81, 3383-3386 (1998).
[CrossRef]

Eisenberg, S.

S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Diffraction Management," Phys. Rev. Lett. 85, 1863 (2000).
[CrossRef] [PubMed]

Elflein, W.

T. Pertsch, P. Dannberg, W. Elflein, A. Brauer, and F. Lederer, "Optical Bloch oscillations in temperature tuned waveguide arrays," Phys. Rev. Lett. 83, 4752 (1999).
[CrossRef]

Eugenieva, E. D.

D. N. Christodoulides and E. D. Eugenieva, "Blocking and routing discrete solitons in two-dimensional networks of nonlinear waveguide arrays," Phys. Rev. Lett. 87, 233901 (2001).
[CrossRef] [PubMed]

Fleischer, J.

Fratalocchi, A.

A. Fratalocchi and G. Assanto, "Universal character of the discrete nonlinear Schrödinger equation," Phys. Rev. A 76, 042108 (2007).
[CrossRef]

A. Fratalocchi, G. Assanto, K. A. Brzdakiewicz, and M. A. Karpierz, "All-optical switching and beam steering in tunable waveguide arrays," Appl. Phys. Lett. 86, 051112 (2005).
[CrossRef]

Freedman, B.

Fu, X.

Garanovich, I.

Garmire, E.

S. Somekh, E. Garmire, A. Yariv, H. L. Garvin, and R. G. Hunsperger, "Channel optical waveguide directional couplers," Appl. Phys. Lett. 22, 46 (1973).
[CrossRef]

Garvin, H. L.

S. Somekh, E. Garmire, A. Yariv, H. L. Garvin, and R. G. Hunsperger, "Channel optical waveguide directional couplers," Appl. Phys. Lett. 22, 46 (1973).
[CrossRef]

Hadzievski, L.

L. Hadzievski, A. Maluckov, M. Stepic, and D. Kip, "Power controlled soliton stability and steering in lattices with saturable nonlinearity," Phys. Rev. Lett. 93, 033901 (2004).
[CrossRef] [PubMed]

Hasegawa, A.

Heinrich, M.

A. Szameit, H. Trompeter, M. Heinrich, F. Dreisow, U. Peschel, T. Pertsch, S. Nolte, F. Lederer, and A. Tünnermann, "Fresnel's laws in discrete optical media", New J. Phys. 10, 103020 (2008).
[CrossRef]

Hu, Y.

Hunsperger, R. G.

S. Somekh, E. Garmire, A. Yariv, H. L. Garvin, and R. G. Hunsperger, "Channel optical waveguide directional couplers," Appl. Phys. Lett. 22, 46 (1973).
[CrossRef]

Jensen, S. M.

S. M. Jensen, "The nonlinear coherent coupler," IEEE J. Quantum Electron. QE- 18, 1580 (1982).
[CrossRef]

Jones, A. L.

Joseph, R. I.

Kang, J. U.

Kapon, E.

Karpierz, M. A.

A. Fratalocchi, G. Assanto, K. A. Brzdakiewicz, and M. A. Karpierz, "All-optical switching and beam steering in tunable waveguide arrays," Appl. Phys. Lett. 86, 051112 (2005).
[CrossRef]

Katayama, S.

Katz, J.

Kennedy, G. T.

Kip, D.

L. Hadzievski, A. Maluckov, M. Stepic, and D. Kip, "Power controlled soliton stability and steering in lattices with saturable nonlinearity," Phys. Rev. Lett. 93, 033901 (2004).
[CrossRef] [PubMed]

Kivshar, Y.

Kivshar, Y. S.

R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, "Switching of discrete optical solitons in engineered waveguide arrays," Phys. Rev. E 70, 026602 (2004).
[CrossRef]

W. Królikowski and Y. S. Kivshar, "Soliton-based optical switching in waveguide arrays," J. Opt. Soc. Am. B 13, 876-887 (1996).
[CrossRef]

Królikowski, W.

Lederer, F.

A. Szameit, H. Trompeter, M. Heinrich, F. Dreisow, U. Peschel, T. Pertsch, S. Nolte, F. Lederer, and A. Tünnermann, "Fresnel's laws in discrete optical media", New J. Phys. 10, 103020 (2008).
[CrossRef]

D. N. Christodoulides, F. Lederer, and Y. Silberberg, "Discretizing light behavior in linear and nonlinear waveguide lattices," Nature 424, 817-823 (2003).
[CrossRef] [PubMed]

T. Pertsch, U. Peschel, and F. Lederer, "Discrete solitons in inhomogeneous waveguide arrays," Chaos 13, 744 (2003).
[CrossRef] [PubMed]

T. Pertsch, P. Dannberg, W. Elflein, A. Brauer, and F. Lederer, "Optical Bloch oscillations in temperature tuned waveguide arrays," Phys. Rev. Lett. 83, 4752 (1999).
[CrossRef]

A. B. Aceves, C. De Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, "Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays," Phys. Rev. E 53, 1172 (1996).
[CrossRef]

A. B. Aceves, C. De Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, "Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays," Phys. Rev. E 53, 1172-1189 (1996).
[CrossRef]

R. Muschall, C. Schmidt-Hattenberger, and F. Lederer, "Spatially solitary waves in arrays of nonlinear waveguides," Opt. Lett. 19, 323-325 (1994).
[CrossRef] [PubMed]

Locatelli, A.

Longhi, S.

S. Longhi, "Transmission and localization control by ac fields in tight-binding lattices with an impurity," Phys. Rev. B 73, 193305 (2006).
[CrossRef]

Maïte Volatier, R.

Makasyuk, I.

I. Makasyuk, Z. Chen, and J. Yang, "Band-Gap Guidance in Optically Induced Photonic Lattices with a Negative Defect," Phys. Rev. Lett. 96, 223903 (2006).
[CrossRef] [PubMed]

Makris, K. G.

Maluckov, A.

L. Hadzievski, A. Maluckov, M. Stepic, and D. Kip, "Power controlled soliton stability and steering in lattices with saturable nonlinearity," Phys. Rev. Lett. 93, 033901 (2004).
[CrossRef] [PubMed]

Mandelik, D.

Manela, O.

Matsumoto, M.

Millar, P.

Miller, P. D.

Modotto, D.

Molina, M. I.

R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, "Switching of discrete optical solitons in engineered waveguide arrays," Phys. Rev. E 70, 026602 (2004).
[CrossRef]

Morandotti, R.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, Maïte 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, 4663-4670 (2007), http://www.opticsexpress.org/abstract.cfm?URI=oe-15-8-4663.
[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 (2003).
[CrossRef] [PubMed]

S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Diffraction Management," Phys. Rev. Lett. 85, 1863 (2000).
[CrossRef] [PubMed]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Experimental observation of linear and nonlinear optics Bloch oscillations," Phys. Rev. Lett. 83, 4756 (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 (1999).
[CrossRef]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Dynamics of discrete solitons in optical waveguide arrays," Phys. Rev. Lett. 83, 2726 (1999).
[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, R. Boyd and J. S. Aitchison, "Discrete spatial optical solitons in waveguide arrays," Phys. Rev. Lett. 81, 3383-3386 (1998).
[CrossRef]

Muschall, R.

A. B. Aceves, C. De Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, "Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays," Phys. Rev. E 53, 1172 (1996).
[CrossRef]

A. B. Aceves, C. De Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, "Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays," Phys. Rev. E 53, 1172-1189 (1996).
[CrossRef]

R. Muschall, C. Schmidt-Hattenberger, and F. Lederer, "Spatially solitary waves in arrays of nonlinear waveguides," Opt. Lett. 19, 323-325 (1994).
[CrossRef] [PubMed]

Musslimani, Z. H.

M. J. Ablowitz and Z. H. Musslimani, "Discrete diffraction managed spatial solitons," Phys. Rev. Lett. 87, 254102 (2001).
[CrossRef] [PubMed]

Nolte, S.

A. Szameit, H. Trompeter, M. Heinrich, F. Dreisow, U. Peschel, T. Pertsch, S. Nolte, F. Lederer, and A. Tünnermann, "Fresnel's laws in discrete optical media", New J. Phys. 10, 103020 (2008).
[CrossRef]

Pertsch, T.

A. Szameit, H. Trompeter, M. Heinrich, F. Dreisow, U. Peschel, T. Pertsch, S. Nolte, F. Lederer, and A. Tünnermann, "Fresnel's laws in discrete optical media", New J. Phys. 10, 103020 (2008).
[CrossRef]

T. Pertsch, U. Peschel, and F. Lederer, "Discrete solitons in inhomogeneous waveguide arrays," Chaos 13, 744 (2003).
[CrossRef] [PubMed]

T. Pertsch, P. Dannberg, W. Elflein, A. Brauer, and F. Lederer, "Optical Bloch oscillations in temperature tuned waveguide arrays," Phys. Rev. Lett. 83, 4752 (1999).
[CrossRef]

Peschel, T.

A. B. Aceves, C. De Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, "Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays," Phys. Rev. E 53, 1172 (1996).
[CrossRef]

A. B. Aceves, C. De Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, "Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays," Phys. Rev. E 53, 1172-1189 (1996).
[CrossRef]

Peschel, U.

A. Szameit, H. Trompeter, M. Heinrich, F. Dreisow, U. Peschel, T. Pertsch, S. Nolte, F. Lederer, and A. Tünnermann, "Fresnel's laws in discrete optical media", New J. Phys. 10, 103020 (2008).
[CrossRef]

T. Pertsch, U. Peschel, and F. Lederer, "Discrete solitons in inhomogeneous waveguide arrays," Chaos 13, 744 (2003).
[CrossRef] [PubMed]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Dynamics of discrete solitons in optical waveguide arrays," Phys. Rev. Lett. 83, 2726 (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 (1999).
[CrossRef]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Experimental observation of linear and nonlinear optics Bloch oscillations," Phys. Rev. Lett. 83, 4756 (1999).
[CrossRef]

Santagiustina, M.

A. B. Aceves and M. Santagiustina, "Bistable and tristable soliton switching in collinear arrays of linearly coupled waveguides," Phys. Rev. E 56, 1113 (1997).
[CrossRef]

Schmidt-Hattenberger, C.

Schwartz, T.

Segev, M.

Sibbett, W.

Silberberg, Y.

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 (2003).
[CrossRef] [PubMed]

D. N. Christodoulides, F. Lederer, and Y. Silberberg, "Discretizing light behavior in linear and nonlinear waveguide lattices," Nature 424, 817-823 (2003).
[CrossRef] [PubMed]

S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Diffraction Management," Phys. Rev. Lett. 85, 1863 (2000).
[CrossRef] [PubMed]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Experimental observation of linear and nonlinear optics Bloch oscillations," Phys. Rev. Lett. 83, 4756 (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 (1999).
[CrossRef]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Dynamics of discrete solitons in optical waveguide arrays," Phys. Rev. Lett. 83, 2726 (1999).
[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, R. Boyd and J. S. Aitchison, "Discrete spatial optical solitons in waveguide arrays," Phys. Rev. Lett. 81, 3383-3386 (1998).
[CrossRef]

Sodano, P.

R. Burioni, D. Cassi, P. Sodano, A. Trombettoni, and A. Vezzani, "Propagation of discrete solitons in inhomogeneous networks," Chaos 15, 043501 (2005).
[CrossRef]

Somekh, S.

S. Somekh, E. Garmire, A. Yariv, H. L. Garvin, and R. G. Hunsperger, "Channel optical waveguide directional couplers," Appl. Phys. Lett. 22, 46 (1973).
[CrossRef]

Sorel, M.

Stanley, C. R.

Stegeman, G. I.

Stepic, M.

L. Hadzievski, A. Maluckov, M. Stepic, and D. Kip, "Power controlled soliton stability and steering in lattices with saturable nonlinearity," Phys. Rev. Lett. 93, 033901 (2004).
[CrossRef] [PubMed]

Sukhorukov, A.

Suntsov, S.

Syms, R. R. A.

R. R. A. Syms, "Approximate solution of eigenmode problems for layered coupled arrays," IEEE J. Quantum Electron. QE- 23, 525-532 (1987).
[CrossRef]

Szameit, A.

A. Szameit, H. Trompeter, M. Heinrich, F. Dreisow, U. Peschel, T. Pertsch, S. Nolte, F. Lederer, and A. Tünnermann, "Fresnel's laws in discrete optical media", New J. Phys. 10, 103020 (2008).
[CrossRef]

Trillo, S.

A. B. Aceves, C. De Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, "Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays," Phys. Rev. E 53, 1172 (1996).
[CrossRef]

A. B. Aceves, C. De Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, "Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays," Phys. Rev. E 53, 1172-1189 (1996).
[CrossRef]

A. B. Aceves, C. De Angelis, S. Trillo, and S. Wabnitz, "Storage and steering of self-trapped discrete solitons in nonlinear waveguide arrays," Opt. Lett. 19, 332-334 (1994).
[CrossRef] [PubMed]

Trombettoni, A.

R. Burioni, D. Cassi, P. Sodano, A. Trombettoni, and A. Vezzani, "Propagation of discrete solitons in inhomogeneous networks," Chaos 15, 043501 (2005).
[CrossRef]

Trompeter, H.

A. Szameit, H. Trompeter, M. Heinrich, F. Dreisow, U. Peschel, T. Pertsch, S. Nolte, F. Lederer, and A. Tünnermann, "Fresnel's laws in discrete optical media", New J. Phys. 10, 103020 (2008).
[CrossRef]

Trutschel, U.

Tünnermann, A.

A. Szameit, H. Trompeter, M. Heinrich, F. Dreisow, U. Peschel, T. Pertsch, S. Nolte, F. Lederer, and A. Tünnermann, "Fresnel's laws in discrete optical media", New J. Phys. 10, 103020 (2008).
[CrossRef]

Vezzani, A.

R. Burioni, D. Cassi, P. Sodano, A. Trombettoni, and A. Vezzani, "Propagation of discrete solitons in inhomogeneous networks," Chaos 15, 043501 (2005).
[CrossRef]

Vicencio, R. A.

R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, "Switching of discrete optical solitons in engineered waveguide arrays," Phys. Rev. E 70, 026602 (2004).
[CrossRef]

Villeneuve, A.

Wabnitz, S.

A. B. Aceves, C. De Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, "Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays," Phys. Rev. E 53, 1172-1189 (1996).
[CrossRef]

A. B. Aceves, C. De Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, "Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays," Phys. Rev. E 53, 1172 (1996).
[CrossRef]

A. B. Aceves, C. De Angelis, S. Trillo, and S. Wabnitz, "Storage and steering of self-trapped discrete solitons in nonlinear waveguide arrays," Opt. Lett. 19, 332-334 (1994).
[CrossRef] [PubMed]

Wen, S.

Yang, J.

I. Makasyuk, Z. Chen, and J. Yang, "Band-Gap Guidance in Optically Induced Photonic Lattices with a Negative Defect," Phys. Rev. Lett. 96, 223903 (2006).
[CrossRef] [PubMed]

Yariv, A.

E. Kapon, J. Katz, and A. Yariv, "Supermode analysis of phase-locked arrays of semiconductor lasers," Opt. Lett. 9, 125 (1984).
[CrossRef] [PubMed]

S. Somekh, E. Garmire, A. Yariv, H. L. Garvin, and R. G. Hunsperger, "Channel optical waveguide directional couplers," Appl. Phys. Lett. 22, 46 (1973).
[CrossRef]

Zhuo, H.

Appl. Phys. Lett. (3)

S. Somekh, E. Garmire, A. Yariv, H. L. Garvin, and R. G. Hunsperger, "Channel optical waveguide directional couplers," Appl. Phys. Lett. 22, 46 (1973).
[CrossRef]

A. Fratalocchi, G. Assanto, K. A. Brzdakiewicz, and M. A. Karpierz, "All-optical switching and beam steering in tunable waveguide arrays," Appl. Phys. Lett. 86, 051112 (2005).
[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 (1999).
[CrossRef]

Chaos (2)

T. Pertsch, U. Peschel, and F. Lederer, "Discrete solitons in inhomogeneous waveguide arrays," Chaos 13, 744 (2003).
[CrossRef] [PubMed]

R. Burioni, D. Cassi, P. Sodano, A. Trombettoni, and A. Vezzani, "Propagation of discrete solitons in inhomogeneous networks," Chaos 15, 043501 (2005).
[CrossRef]

IEEE J. Quantum Electron. QE (2)

R. R. A. Syms, "Approximate solution of eigenmode problems for layered coupled arrays," IEEE J. Quantum Electron. QE- 23, 525-532 (1987).
[CrossRef]

S. M. Jensen, "The nonlinear coherent coupler," IEEE J. Quantum Electron. QE- 18, 1580 (1982).
[CrossRef]

J. Lightwave Technol. (1)

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. B (3)

Nature (1)

D. N. Christodoulides, F. Lederer, and Y. Silberberg, "Discretizing light behavior in linear and nonlinear waveguide lattices," Nature 424, 817-823 (2003).
[CrossRef] [PubMed]

New J. Phys. (1)

A. Szameit, H. Trompeter, M. Heinrich, F. Dreisow, U. Peschel, T. Pertsch, S. Nolte, F. Lederer, and A. Tünnermann, "Fresnel's laws in discrete optical media", New J. Phys. 10, 103020 (2008).
[CrossRef]

Opt. Express (3)

Opt. Lett. (9)

A. Locatelli, M. Conforti, D. Modotto, and C. De Angelis, "Discrete negative refraction in photonic crystal waveguide arrays," Opt. Lett. 31, 1343-1345 (2006).
[CrossRef] [PubMed]

E. Kapon, J. Katz, and A. Yariv, "Supermode analysis of phase-locked arrays of semiconductor lasers," Opt. Lett. 9, 125 (1984).
[CrossRef] [PubMed]

D. N. Christodoulides and R. I. Joseph, "Discrete self-focusing in nonlinear arrays of coupled waveguides," Opt. Lett. 13, 794-796 (1988).
[CrossRef] [PubMed]

W. Królikowski, U. Trutschel, M. Cronin-Golomb, and C. Schmidt-Hattenberger, "Solitonlike optical switching in a circular fiber array," Opt. Lett. 19, 320-322 (1994).
[CrossRef] [PubMed]

R. Muschall, C. Schmidt-Hattenberger, and F. Lederer, "Spatially solitary waves in arrays of nonlinear waveguides," Opt. Lett. 19, 323-325 (1994).
[CrossRef] [PubMed]

A. B. Aceves, C. De Angelis, S. Trillo, and S. Wabnitz, "Storage and steering of self-trapped discrete solitons in nonlinear waveguide arrays," Opt. Lett. 19, 332-334 (1994).
[CrossRef] [PubMed]

M. Matsumoto, S. Katayama, and A. Hasegawa, "Optical switching in nonlinear waveguide arrays with a longitudinally decreasing coupling coefficient," Opt. Lett. 20, 1758 (1995).
[CrossRef] [PubMed]

O. Bang and P. D. Miller, "Exploiting discreteness for switching in waveguide arrays," Opt. Lett. 21, 1105 (1996).
[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 (2003).
[CrossRef] [PubMed]

Phys. Rev. A (1)

A. Fratalocchi and G. Assanto, "Universal character of the discrete nonlinear Schrödinger equation," Phys. Rev. A 76, 042108 (2007).
[CrossRef]

Phys. Rev. B (1)

S. Longhi, "Transmission and localization control by ac fields in tight-binding lattices with an impurity," Phys. Rev. B 73, 193305 (2006).
[CrossRef]

Phys. Rev. E (4)

A. B. Aceves, C. De Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, "Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays," Phys. Rev. E 53, 1172 (1996).
[CrossRef]

R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, "Switching of discrete optical solitons in engineered waveguide arrays," Phys. Rev. E 70, 026602 (2004).
[CrossRef]

A. B. Aceves and M. Santagiustina, "Bistable and tristable soliton switching in collinear arrays of linearly coupled waveguides," Phys. Rev. E 56, 1113 (1997).
[CrossRef]

A. B. Aceves, C. De Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, "Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays," Phys. Rev. E 53, 1172-1189 (1996).
[CrossRef]

Phys. Rev. Lett. (9)

I. Makasyuk, Z. Chen, and J. Yang, "Band-Gap Guidance in Optically Induced Photonic Lattices with a Negative Defect," Phys. Rev. Lett. 96, 223903 (2006).
[CrossRef] [PubMed]

D. N. Christodoulides and E. D. Eugenieva, "Blocking and routing discrete solitons in two-dimensional networks of nonlinear waveguide arrays," Phys. Rev. Lett. 87, 233901 (2001).
[CrossRef] [PubMed]

L. Hadzievski, A. Maluckov, M. Stepic, and D. Kip, "Power controlled soliton stability and steering in lattices with saturable nonlinearity," Phys. Rev. Lett. 93, 033901 (2004).
[CrossRef] [PubMed]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Dynamics of discrete solitons in optical waveguide arrays," Phys. Rev. Lett. 83, 2726 (1999).
[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, R. Boyd and J. S. Aitchison, "Discrete spatial optical solitons in waveguide arrays," Phys. Rev. Lett. 81, 3383-3386 (1998).
[CrossRef]

T. Pertsch, P. Dannberg, W. Elflein, A. Brauer, and F. Lederer, "Optical Bloch oscillations in temperature tuned waveguide arrays," Phys. Rev. Lett. 83, 4752 (1999).
[CrossRef]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, "Experimental observation of linear and nonlinear optics Bloch oscillations," Phys. Rev. Lett. 83, 4756 (1999).
[CrossRef]

M. J. Ablowitz and Z. H. Musslimani, "Discrete diffraction managed spatial solitons," Phys. Rev. Lett. 87, 254102 (2001).
[CrossRef] [PubMed]

S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Diffraction Management," Phys. Rev. Lett. 85, 1863 (2000).
[CrossRef] [PubMed]

Other (3)

C. Schmidt-Hattenberger, U. Trutschel, and F. Lederer, "Nonlinear switching in multiple-core couplers," 16, 294-296 (1991).

J. M. Moison and C. Minot, French Patent n° 07 54872 (2007).

J. M. Moison and C. Minot, French Patent n° 08 05307 (2008).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (4)

Fig. 1.
Fig. 1.

Modes of perfectly confined channels. Left: Comparison of the dimensionless kz given by the analytical coupled mode theory (CMT) (kz CMT, blue bars with dotted lines joining modes of the same order as guide to the eye) and the adjusted finite element method (FEM) numerical solutions ([βFEM - β0]/C1, red dots) as a function of the number of guides N in the channel (the C-pattern of type 1); the adjustment is done via Eq. (1) using a single set of parameters (C1=1.51 mm-1, β0=13.095μm-1). Right: Comparison of the CMT (dots) and the FEM (lines) normalized amplitude of the electric field along X for the 4 lowest-order modes of a N=9 guide channel; integer abscissas correspond to the centers of the waveguides. In both figures, the layered structure implemented in FEM is the actual experimental epitaxial structure described in section 3, with an inter-guide spacing s similar to the type I zone of the actual sample (s=5 μm).

Fig. 2.
Fig. 2.

Views of C-patterned arrays defining channels. Left top: Optical microscopy image of 2, 4 and 6-guide-wide channels. Left bottom: Scanning electron microscope view of the cleaved input face of the sample. Right: Enlargement of the 6-guide-wide channel.

Fig. 3.
Fig. 3.

Left: Top view of the experimental setup: a microlensed fiber injects light into a 6-guide-wide channel. Inside the channel, the ridge separation is s=5 μm. On both barrier sides, the less strongly coupled waveguides are separated by 9 μm. Right: Output intensity maps for various sizes {N} of channels (N more strongly coupled waveguides). Special care has been taken to keep the injection constant (w0=8.75 μm, see text) for all channels. Bottom: output of a homogeneous array with s=5 μm. Please note that a different microscope objective (MO) and different injection (w0=5 μm) have been used to image the homogeneous array sample {∞}.

Fig. 4.
Fig. 4.

Comparison of sections of the experimental output intensity images of Fig. 3 (solid gray lines) with the CMT results (taking am values only at the waveguide centers, shown as black vertical bars whose height represents the CMT intensity). Data are shown for a 8.75 μm wide injection in N more strongly coupled waveguides (designated by {N}) forming a channel of coupling constant C1=2C2. The sample is 3.4 mm long (i.e. ~5 coupling lengths in C1 units). A schematic view of the channel (analog of a waveguide for photons) of increasing width is given above each subplot. The position of the centers of the ridges is indicated by the position of each bar of the CMT simulation. Additionally the positions of the corresponding ridges are shown at the top of the N=2 plot.

Equations (1)

Equations on this page are rendered with MathJax. Learn more.

k z = β β 0 C 1

Metrics