Abstract

We generate experimentally different types of two-dimensional Bloch waves of a square photonic lattice by employing the phase imprinting technique. We probe the local dispersion of the Bloch modes in the photonic lattice by analyzing the linear diffraction of beams associated with the high-symmetry points of the Brillouin zone, and also distinguish the regimes of normal, anomalous, and anisotropic diffraction through observations of nonlinear self-action effects.

© 2006 Optical Society of America

Full Article  |  PDF Article
Related Articles
Photonic crystals for matter waves: Bose-Einstein condensates in optical lattices

Elena A. Ostrovskaya and Yuri S. Kivshar
Opt. Express 12(1) 19-29 (2004)

Spatial photonics in nonlinear waveguide arrays

Jason W. Fleischer, Guy Bartal, Oren Cohen, Tal Schwartz, Ofer Manela, Barak Freedman, Mordechai Segev, Hrvoje Buljan, and Nikolaos K. Efremidis
Opt. Express 13(6) 1780-1796 (2005)

Discrete interband mutual focusing in nonlinear photonic lattices

Christian R. Rosberg, Brendan Hanna, Dragomir N. Neshev, Andrey A. Sukhorukov, Wieslaw Krolikowski, and Yuri S. Kivshar
Opt. Express 13(14) 5369-5376 (2005)

References

  • View by:
  • |
  • |
  • |

  1. J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton University Press, Princeton, 1995).
  2. P. S. Russell, “Bloch wave analysis of dispersion and pulse-propagation in pure distributed feedback structures,” J. Mod. Opt. 38, 1599–1619 (1991).
    [Crossref]
  3. P. St. J. Russell, T. A. Birks, and F. D. Lloyd Lucas, “Photonic Bloch waves and photonic band gaps,” in Confined Electrons and Photons, E. Burstein and C. Weisbuch, eds., (1995), pp. 585–633.
    [Crossref]
  4. H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Diffraction management,” Phys. Rev. Lett. 85, 1863–1866 (2000).
    [Crossref] [PubMed]
  5. T. Pertsch, T. Zentgraf, U. Peschel, A. Brauer, and F. Lederer, “Anomalous refraction and diffraction in discrete optical systems,” Phys. Rev. Lett. 88, 093901–4 (2002).
    [Crossref] [PubMed]
  6. M. Lončar, D. NedeljkoviĆ, T. P. Pearsall, J. VučkoviĆ, A. Scherer, S. Kuchinsky, and D. C. Allan, “Experimental and theoretical confirmation of Bloch-mode light propagation in planar photonic crystal waveguides,” Appl. Phys. Lett. 80, 1689–1691 (2002).
    [Crossref]
  7. P. E. Barclay, K. Srinivasan, M. Borselli, and O. Painter, “Probing the dispersive and spatial properties of photonic crystal waveguides via highly efficient coupling from fiber tapers,” Appl. Phys. Lett. 85, 4–6 (2004).
    [Crossref]
  8. S. I. Bozhevolnyi, V. S. Volkov, T. Sondergaard, A. Boltasseva, P. I. Borel, and M. Kristensen, “Near-field imaging of light propagation in photonic crystal waveguides: explicit role of Bloch harmonics,” Phys. Rev. B 66, 235204–9 (2002).
    [Crossref]
  9. H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. Hulst van, T. F. Krauss, and L. Kuipers, “Direct observation of Bloch harmonics and negative phase velocity in photonic crystal waveguides,” Phys. Rev. Lett. 94, 123901–4 (2005).
    [Crossref] [PubMed]
  10. R. J. P. Engelen, T. J. Karle, H. Gersen, J. P. Korterik, T. F. Krauss, L. Kuipers, and N. F. Hulst van, “Local probing of Bloch mode dispersion in a photonic crystal waveguide,” Opt. Express 13, 4457–4464 (2005), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-12-4457.
    [Crossref] [PubMed]
  11. Yu. I. Voloshchenko, Yu. N. Ryzhov, and V. E. Sotin, “Stationary waves in non-linear, periodically modulated media with higher group retardation,” Zh. Tekh. Fiz. 51, 902–907 (1981) (in Russian) [English translation: Tech. Phys. 26, 541-544 (1981)].
  12. W. Chen and D. L. Mills, “Gap solitons and the nonlinear optical-response of superlattices,” Phys. Rev. Lett. 58, 160–163 (1987).
    [Crossref] [PubMed]
  13. D. N. Christodoulides and R. I. Joseph, “Discrete self-focusing in nonlinear arrays of coupled wave-guides,” Opt. Lett. 13, 794–796 (1988).
    [Crossref] [PubMed]
  14. C. M. de Sterke and J. E. Sipe, “Gap solitons,” in Progress in Optics, E. Wolf, ed., (North-Holland, Amsterdam, 1994), Vol. XXXIII, pp. 203–260.
  15. J. Feng, “Alternative scheme for studying gap solitons in an infinite periodic Kerr medium,” Opt. Lett. 18, 1302–1304 (1993).
    [Crossref] [PubMed]
  16. R. F. Nabiev, P. Yeh, and D. Botez, “Spatial gap solitons in periodic nonlinear structures,” Opt. Lett. 18, 1612–1614 (1993).
    [Crossref] [PubMed]
  17. S. John and N. Akozbek, “Nonlinear-optical solitary waves in a photonic band-gap,” Phys. Rev. Lett. 71, 1168–1171 (1993).
    [Crossref] [PubMed]
  18. N. Akozbek and S. John, “Optical solitary waves in two- and three-dimensional nonlinear photonic band-gap structures,” Phys. Rev. E 57, 2287–2319 (1998).
    [Crossref]
  19. S. F. Mingaleev and Yu. S. Kivshar, “Self-trapping and stable localized modes in nonlinear photonic crystals,” Phys. Rev. Lett. 86, 5474–5477 (2001).
    [Crossref] [PubMed]
  20. B. J. Eggleton, C. M. de Sterke, and R. E. Slusher, “Nonlinear pulse propagation in Bragg gratings,” J. Opt. Soc. Am. B 14, 2980–2993 (1997).
    [Crossref]
  21. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton trains in photonic lattices,” Opt. Express 12, 2831 (2004), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-13-2831.
    [Crossref] [PubMed]
  22. J. Hudock, N. K. Efremidis, and D. N. Christodoulides, “Anisotropic diffraction and elliptic discrete solitons in two-dimensional waveguide arrays,” Opt. Lett. 29, 268–270 (2004).
    [Crossref] [PubMed]
  23. 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, 053902–4 (2003).
    [Crossref] [PubMed]
  24. A. A. Sukhorukov, D. Neshev, W. Królikowski, and Yu. S. Kivshar, “Nonlinear Bloch-wave interaction and Bragg scattering in optically induced lattices,” Phys. Rev. Lett. 92, 093901–4 (2004).
    [Crossref] [PubMed]
  25. C. M. de Sterke, “Theory of modulational instability in fiber Bragg gratings,” J. Opt. Soc. Am. B 15, 2660–2667 (1998).
    [Crossref]
  26. J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotti, H. Yang, G. Salamo, M. Sorel, and J. S. Aitchison, “Experimental observation of discrete modulational instability,” Phys. Rev. Lett. 92, 163902–4 (2004).
    [Crossref] [PubMed]
  27. R. Iwanow, G. I. Stegeman, R. Schiek, Y. Min, and W. Sohler, “Discrete modulational instability in periodically poled lithium niobate waveguide arrays,” Opt. Express 13, 7794–7799 (2005), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-20-7794.
    [Crossref] [PubMed]
  28. M. StepiĆ, C. Wirth, C. Rüter, and D. Kip, “Experimental observation of modulational instability in self-defocusing nonlinear waveguide arrays,” Opt. Lett. 31, 247–249 (2006).
    [Crossref] [PubMed]
  29. M. Chauvet, G. Fu, G. Salamo, J. W. Fleischer, and M. Segev, “Experimental Observation of Discrete Modulation Instability in 1-D Nonlinear Waveguide Arrays,” In Nonlinear Guided Waves and Their Applications, Postconference ed. OSA p. WD39 (Optical Society of America, Washington DC, 2005).
  30. B. J. Eggleton, C. M. de Sterke, A. B. Aceves, J. E. Sipe, T. A. Strasser, and R. E. Slusher, “Modulational instability and tunable multiple soliton generation in apodized fiber gratings,” Opt. Commun. 149, 267–271 (1998).
    [Crossref]
  31. G. Bartal, O. Cohen, H. Buljan, J. W. Fleischer, O. Manela, and M. Segev, “Brillouin zone spectroscopy of nonlinear photonic lattices,” Phys. Rev. Lett. 94, 163902–4 (2005).
    [Crossref] [PubMed]
  32. N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, “Discrete solitons in photore-fractive optically induced photonic lattices,” Phys. Rev. E 66, 046602–5 (2002).
    [Crossref]
  33. Nonlinear Photonic Crystals, Vol.  10 of Springer Series in Photonics, R. E. Slusher and B. J. Eggleton, eds., (Springer-Verlag, Berlin, 2003).
  34. J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422, 147–150 (2003).
    [Crossref] [PubMed]
  35. H. Martin, E. D. Eugenieva, Z. G. Chen, and D. N. Christodoulides, “Discrete solitons and soliton-induced dislocations in partially coherent photonic lattices,” Phys. Rev. Lett. 92, 123902–4 (2004).
    [Crossref] [PubMed]
  36. O. Cohen, B. Freedman, J. W. Fleischer, M. Segev, and D. N. Christodoulides, “Grating-mediated waveguiding,” Phys. Rev. Lett. 93, 103902–4 (2004).
    [Crossref] [PubMed]
  37. B. Freedman, O. Cohen, O. Manela, M. Segev, J. W. Fleischer, and D. N. Christodoulides, “Grating-mediated wave guiding and holographic solitons,” J. Opt. Soc. Am. B 22, 1349–1355 (2005).
    [Crossref]
  38. R. Fischer, D. Träger, D. N. Neshev, A. A. Sukhorukov, W. Królikowski, C. Denz, and Yu. S. Kivshar, “Reduced-symmetry two-dimensional solitons in photonic lattices,” Phys. Rev. Lett. 96, 023905–4 (2006).
    [Crossref] [PubMed]
  39. O. Manela, O. Cohen, G. Bartal, J. W. Fleischer, and M. Segev, “Two-dimensional higher-band vortex lattice solitons,” Opt. Lett. 29, 2049–2051 (2004).
    [Crossref] [PubMed]
  40. G. Bartal, O. Manela, O. Cohen, J. W. Fleischer, and M. Segev, “Observation of second-band vortex solitons in 2D photonic lattices,” Phys. Rev. Lett. 95, 053904–4 (2005).
    [Crossref] [PubMed]

2006 (2)

M. StepiĆ, C. Wirth, C. Rüter, and D. Kip, “Experimental observation of modulational instability in self-defocusing nonlinear waveguide arrays,” Opt. Lett. 31, 247–249 (2006).
[Crossref] [PubMed]

R. Fischer, D. Träger, D. N. Neshev, A. A. Sukhorukov, W. Królikowski, C. Denz, and Yu. S. Kivshar, “Reduced-symmetry two-dimensional solitons in photonic lattices,” Phys. Rev. Lett. 96, 023905–4 (2006).
[Crossref] [PubMed]

2005 (7)

R. Iwanow, G. I. Stegeman, R. Schiek, Y. Min, and W. Sohler, “Discrete modulational instability in periodically poled lithium niobate waveguide arrays,” Opt. Express 13, 7794–7799 (2005), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-20-7794.
[Crossref] [PubMed]

B. Freedman, O. Cohen, O. Manela, M. Segev, J. W. Fleischer, and D. N. Christodoulides, “Grating-mediated wave guiding and holographic solitons,” J. Opt. Soc. Am. B 22, 1349–1355 (2005).
[Crossref]

M. Chauvet, G. Fu, G. Salamo, J. W. Fleischer, and M. Segev, “Experimental Observation of Discrete Modulation Instability in 1-D Nonlinear Waveguide Arrays,” In Nonlinear Guided Waves and Their Applications, Postconference ed. OSA p. WD39 (Optical Society of America, Washington DC, 2005).

G. Bartal, O. Cohen, H. Buljan, J. W. Fleischer, O. Manela, and M. Segev, “Brillouin zone spectroscopy of nonlinear photonic lattices,” Phys. Rev. Lett. 94, 163902–4 (2005).
[Crossref] [PubMed]

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. Hulst van, T. F. Krauss, and L. Kuipers, “Direct observation of Bloch harmonics and negative phase velocity in photonic crystal waveguides,” Phys. Rev. Lett. 94, 123901–4 (2005).
[Crossref] [PubMed]

R. J. P. Engelen, T. J. Karle, H. Gersen, J. P. Korterik, T. F. Krauss, L. Kuipers, and N. F. Hulst van, “Local probing of Bloch mode dispersion in a photonic crystal waveguide,” Opt. Express 13, 4457–4464 (2005), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-12-4457.
[Crossref] [PubMed]

G. Bartal, O. Manela, O. Cohen, J. W. Fleischer, and M. Segev, “Observation of second-band vortex solitons in 2D photonic lattices,” Phys. Rev. Lett. 95, 053904–4 (2005).
[Crossref] [PubMed]

2004 (8)

P. E. Barclay, K. Srinivasan, M. Borselli, and O. Painter, “Probing the dispersive and spatial properties of photonic crystal waveguides via highly efficient coupling from fiber tapers,” Appl. Phys. Lett. 85, 4–6 (2004).
[Crossref]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton trains in photonic lattices,” Opt. Express 12, 2831 (2004), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-13-2831.
[Crossref] [PubMed]

J. Hudock, N. K. Efremidis, and D. N. Christodoulides, “Anisotropic diffraction and elliptic discrete solitons in two-dimensional waveguide arrays,” Opt. Lett. 29, 268–270 (2004).
[Crossref] [PubMed]

A. A. Sukhorukov, D. Neshev, W. Królikowski, and Yu. S. Kivshar, “Nonlinear Bloch-wave interaction and Bragg scattering in optically induced lattices,” Phys. Rev. Lett. 92, 093901–4 (2004).
[Crossref] [PubMed]

J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotti, H. Yang, G. Salamo, M. Sorel, and J. S. Aitchison, “Experimental observation of discrete modulational instability,” Phys. Rev. Lett. 92, 163902–4 (2004).
[Crossref] [PubMed]

O. Manela, O. Cohen, G. Bartal, J. W. Fleischer, and M. Segev, “Two-dimensional higher-band vortex lattice solitons,” Opt. Lett. 29, 2049–2051 (2004).
[Crossref] [PubMed]

H. Martin, E. D. Eugenieva, Z. G. Chen, and D. N. Christodoulides, “Discrete solitons and soliton-induced dislocations in partially coherent photonic lattices,” Phys. Rev. Lett. 92, 123902–4 (2004).
[Crossref] [PubMed]

O. Cohen, B. Freedman, J. W. Fleischer, M. Segev, and D. N. Christodoulides, “Grating-mediated waveguiding,” Phys. Rev. Lett. 93, 103902–4 (2004).
[Crossref] [PubMed]

2003 (3)

Nonlinear Photonic Crystals, Vol.  10 of Springer Series in Photonics, R. E. Slusher and B. J. Eggleton, eds., (Springer-Verlag, Berlin, 2003).

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422, 147–150 (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, 053902–4 (2003).
[Crossref] [PubMed]

2002 (4)

S. I. Bozhevolnyi, V. S. Volkov, T. Sondergaard, A. Boltasseva, P. I. Borel, and M. Kristensen, “Near-field imaging of light propagation in photonic crystal waveguides: explicit role of Bloch harmonics,” Phys. Rev. B 66, 235204–9 (2002).
[Crossref]

T. Pertsch, T. Zentgraf, U. Peschel, A. Brauer, and F. Lederer, “Anomalous refraction and diffraction in discrete optical systems,” Phys. Rev. Lett. 88, 093901–4 (2002).
[Crossref] [PubMed]

M. Lončar, D. NedeljkoviĆ, T. P. Pearsall, J. VučkoviĆ, A. Scherer, S. Kuchinsky, and D. C. Allan, “Experimental and theoretical confirmation of Bloch-mode light propagation in planar photonic crystal waveguides,” Appl. Phys. Lett. 80, 1689–1691 (2002).
[Crossref]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, “Discrete solitons in photore-fractive optically induced photonic lattices,” Phys. Rev. E 66, 046602–5 (2002).
[Crossref]

2001 (1)

S. F. Mingaleev and Yu. S. Kivshar, “Self-trapping and stable localized modes in nonlinear photonic crystals,” Phys. Rev. Lett. 86, 5474–5477 (2001).
[Crossref] [PubMed]

2000 (1)

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

1998 (3)

B. J. Eggleton, C. M. de Sterke, A. B. Aceves, J. E. Sipe, T. A. Strasser, and R. E. Slusher, “Modulational instability and tunable multiple soliton generation in apodized fiber gratings,” Opt. Commun. 149, 267–271 (1998).
[Crossref]

N. Akozbek and S. John, “Optical solitary waves in two- and three-dimensional nonlinear photonic band-gap structures,” Phys. Rev. E 57, 2287–2319 (1998).
[Crossref]

C. M. de Sterke, “Theory of modulational instability in fiber Bragg gratings,” J. Opt. Soc. Am. B 15, 2660–2667 (1998).
[Crossref]

1997 (1)

1993 (3)

1991 (1)

P. S. Russell, “Bloch wave analysis of dispersion and pulse-propagation in pure distributed feedback structures,” J. Mod. Opt. 38, 1599–1619 (1991).
[Crossref]

1988 (1)

1987 (1)

W. Chen and D. L. Mills, “Gap solitons and the nonlinear optical-response of superlattices,” Phys. Rev. Lett. 58, 160–163 (1987).
[Crossref] [PubMed]

1981 (1)

Yu. I. Voloshchenko, Yu. N. Ryzhov, and V. E. Sotin, “Stationary waves in non-linear, periodically modulated media with higher group retardation,” Zh. Tekh. Fiz. 51, 902–907 (1981) (in Russian) [English translation: Tech. Phys. 26, 541-544 (1981)].

Aceves, A. B.

B. J. Eggleton, C. M. de Sterke, A. B. Aceves, J. E. Sipe, T. A. Strasser, and R. E. Slusher, “Modulational instability and tunable multiple soliton generation in apodized fiber gratings,” Opt. Commun. 149, 267–271 (1998).
[Crossref]

Aitchison, J. S.

J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotti, H. Yang, G. Salamo, M. Sorel, and J. S. Aitchison, “Experimental observation of discrete modulational instability,” Phys. Rev. Lett. 92, 163902–4 (2004).
[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, 053902–4 (2003).
[Crossref] [PubMed]

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

Akozbek, N.

N. Akozbek and S. John, “Optical solitary waves in two- and three-dimensional nonlinear photonic band-gap structures,” Phys. Rev. E 57, 2287–2319 (1998).
[Crossref]

S. John and N. Akozbek, “Nonlinear-optical solitary waves in a photonic band-gap,” Phys. Rev. Lett. 71, 1168–1171 (1993).
[Crossref] [PubMed]

Allan, D. C.

M. Lončar, D. NedeljkoviĆ, T. P. Pearsall, J. VučkoviĆ, A. Scherer, S. Kuchinsky, and D. C. Allan, “Experimental and theoretical confirmation of Bloch-mode light propagation in planar photonic crystal waveguides,” Appl. Phys. Lett. 80, 1689–1691 (2002).
[Crossref]

Barclay, P. E.

P. E. Barclay, K. Srinivasan, M. Borselli, and O. Painter, “Probing the dispersive and spatial properties of photonic crystal waveguides via highly efficient coupling from fiber tapers,” Appl. Phys. Lett. 85, 4–6 (2004).
[Crossref]

Bartal, G.

G. Bartal, O. Cohen, H. Buljan, J. W. Fleischer, O. Manela, and M. Segev, “Brillouin zone spectroscopy of nonlinear photonic lattices,” Phys. Rev. Lett. 94, 163902–4 (2005).
[Crossref] [PubMed]

G. Bartal, O. Manela, O. Cohen, J. W. Fleischer, and M. Segev, “Observation of second-band vortex solitons in 2D photonic lattices,” Phys. Rev. Lett. 95, 053904–4 (2005).
[Crossref] [PubMed]

O. Manela, O. Cohen, G. Bartal, J. W. Fleischer, and M. Segev, “Two-dimensional higher-band vortex lattice solitons,” Opt. Lett. 29, 2049–2051 (2004).
[Crossref] [PubMed]

Birks, T. A.

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

Bogaerts, W.

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. Hulst van, T. F. Krauss, and L. Kuipers, “Direct observation of Bloch harmonics and negative phase velocity in photonic crystal waveguides,” Phys. Rev. Lett. 94, 123901–4 (2005).
[Crossref] [PubMed]

Boltasseva, A.

S. I. Bozhevolnyi, V. S. Volkov, T. Sondergaard, A. Boltasseva, P. I. Borel, and M. Kristensen, “Near-field imaging of light propagation in photonic crystal waveguides: explicit role of Bloch harmonics,” Phys. Rev. B 66, 235204–9 (2002).
[Crossref]

Borel, P. I.

S. I. Bozhevolnyi, V. S. Volkov, T. Sondergaard, A. Boltasseva, P. I. Borel, and M. Kristensen, “Near-field imaging of light propagation in photonic crystal waveguides: explicit role of Bloch harmonics,” Phys. Rev. B 66, 235204–9 (2002).
[Crossref]

Borselli, M.

P. E. Barclay, K. Srinivasan, M. Borselli, and O. Painter, “Probing the dispersive and spatial properties of photonic crystal waveguides via highly efficient coupling from fiber tapers,” Appl. Phys. Lett. 85, 4–6 (2004).
[Crossref]

Botez, D.

Bozhevolnyi, S. I.

S. I. Bozhevolnyi, V. S. Volkov, T. Sondergaard, A. Boltasseva, P. I. Borel, and M. Kristensen, “Near-field imaging of light propagation in photonic crystal waveguides: explicit role of Bloch harmonics,” Phys. Rev. B 66, 235204–9 (2002).
[Crossref]

Brauer, A.

T. Pertsch, T. Zentgraf, U. Peschel, A. Brauer, and F. Lederer, “Anomalous refraction and diffraction in discrete optical systems,” Phys. Rev. Lett. 88, 093901–4 (2002).
[Crossref] [PubMed]

Buljan, H.

G. Bartal, O. Cohen, H. Buljan, J. W. Fleischer, O. Manela, and M. Segev, “Brillouin zone spectroscopy of nonlinear photonic lattices,” Phys. Rev. Lett. 94, 163902–4 (2005).
[Crossref] [PubMed]

Chauvet, M.

M. Chauvet, G. Fu, G. Salamo, J. W. Fleischer, and M. Segev, “Experimental Observation of Discrete Modulation Instability in 1-D Nonlinear Waveguide Arrays,” In Nonlinear Guided Waves and Their Applications, Postconference ed. OSA p. WD39 (Optical Society of America, Washington DC, 2005).

Chen, W.

W. Chen and D. L. Mills, “Gap solitons and the nonlinear optical-response of superlattices,” Phys. Rev. Lett. 58, 160–163 (1987).
[Crossref] [PubMed]

Chen, Z. G.

H. Martin, E. D. Eugenieva, Z. G. Chen, and D. N. Christodoulides, “Discrete solitons and soliton-induced dislocations in partially coherent photonic lattices,” Phys. Rev. Lett. 92, 123902–4 (2004).
[Crossref] [PubMed]

Christodoulides, D. N.

B. Freedman, O. Cohen, O. Manela, M. Segev, J. W. Fleischer, and D. N. Christodoulides, “Grating-mediated wave guiding and holographic solitons,” J. Opt. Soc. Am. B 22, 1349–1355 (2005).
[Crossref]

H. Martin, E. D. Eugenieva, Z. G. Chen, and D. N. Christodoulides, “Discrete solitons and soliton-induced dislocations in partially coherent photonic lattices,” Phys. Rev. Lett. 92, 123902–4 (2004).
[Crossref] [PubMed]

O. Cohen, B. Freedman, J. W. Fleischer, M. Segev, and D. N. Christodoulides, “Grating-mediated waveguiding,” Phys. Rev. Lett. 93, 103902–4 (2004).
[Crossref] [PubMed]

J. Hudock, N. K. Efremidis, and D. N. Christodoulides, “Anisotropic diffraction and elliptic discrete solitons in two-dimensional waveguide arrays,” Opt. Lett. 29, 268–270 (2004).
[Crossref] [PubMed]

J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotti, H. Yang, G. Salamo, M. Sorel, and J. S. Aitchison, “Experimental observation of discrete modulational instability,” Phys. Rev. Lett. 92, 163902–4 (2004).
[Crossref] [PubMed]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422, 147–150 (2003).
[Crossref] [PubMed]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, “Discrete solitons in photore-fractive optically induced photonic lattices,” Phys. Rev. E 66, 046602–5 (2002).
[Crossref]

D. N. Christodoulides and R. I. Joseph, “Discrete self-focusing in nonlinear arrays of coupled wave-guides,” Opt. Lett. 13, 794–796 (1988).
[Crossref] [PubMed]

Cohen, O.

G. Bartal, O. Manela, O. Cohen, J. W. Fleischer, and M. Segev, “Observation of second-band vortex solitons in 2D photonic lattices,” Phys. Rev. Lett. 95, 053904–4 (2005).
[Crossref] [PubMed]

G. Bartal, O. Cohen, H. Buljan, J. W. Fleischer, O. Manela, and M. Segev, “Brillouin zone spectroscopy of nonlinear photonic lattices,” Phys. Rev. Lett. 94, 163902–4 (2005).
[Crossref] [PubMed]

B. Freedman, O. Cohen, O. Manela, M. Segev, J. W. Fleischer, and D. N. Christodoulides, “Grating-mediated wave guiding and holographic solitons,” J. Opt. Soc. Am. B 22, 1349–1355 (2005).
[Crossref]

O. Manela, O. Cohen, G. Bartal, J. W. Fleischer, and M. Segev, “Two-dimensional higher-band vortex lattice solitons,” Opt. Lett. 29, 2049–2051 (2004).
[Crossref] [PubMed]

O. Cohen, B. Freedman, J. W. Fleischer, M. Segev, and D. N. Christodoulides, “Grating-mediated waveguiding,” Phys. Rev. Lett. 93, 103902–4 (2004).
[Crossref] [PubMed]

Denz, C.

R. Fischer, D. Träger, D. N. Neshev, A. A. Sukhorukov, W. Królikowski, C. Denz, and Yu. S. Kivshar, “Reduced-symmetry two-dimensional solitons in photonic lattices,” Phys. Rev. Lett. 96, 023905–4 (2006).
[Crossref] [PubMed]

Efremidis, N. K.

J. Hudock, N. K. Efremidis, and D. N. Christodoulides, “Anisotropic diffraction and elliptic discrete solitons in two-dimensional waveguide arrays,” Opt. Lett. 29, 268–270 (2004).
[Crossref] [PubMed]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422, 147–150 (2003).
[Crossref] [PubMed]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, “Discrete solitons in photore-fractive optically induced photonic lattices,” Phys. Rev. E 66, 046602–5 (2002).
[Crossref]

Eggleton, B. J.

B. J. Eggleton, C. M. de Sterke, A. B. Aceves, J. E. Sipe, T. A. Strasser, and R. E. Slusher, “Modulational instability and tunable multiple soliton generation in apodized fiber gratings,” Opt. Commun. 149, 267–271 (1998).
[Crossref]

B. J. Eggleton, C. M. de Sterke, and R. E. Slusher, “Nonlinear pulse propagation in Bragg gratings,” J. Opt. Soc. Am. B 14, 2980–2993 (1997).
[Crossref]

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, 053902–4 (2003).
[Crossref] [PubMed]

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

Engelen, R. J. P.

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. Hulst van, T. F. Krauss, and L. Kuipers, “Direct observation of Bloch harmonics and negative phase velocity in photonic crystal waveguides,” Phys. Rev. Lett. 94, 123901–4 (2005).
[Crossref] [PubMed]

R. J. P. Engelen, T. J. Karle, H. Gersen, J. P. Korterik, T. F. Krauss, L. Kuipers, and N. F. Hulst van, “Local probing of Bloch mode dispersion in a photonic crystal waveguide,” Opt. Express 13, 4457–4464 (2005), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-12-4457.
[Crossref] [PubMed]

Eugenieva, E. D.

H. Martin, E. D. Eugenieva, Z. G. Chen, and D. N. Christodoulides, “Discrete solitons and soliton-induced dislocations in partially coherent photonic lattices,” Phys. Rev. Lett. 92, 123902–4 (2004).
[Crossref] [PubMed]

Feng, J.

Fischer, R.

R. Fischer, D. Träger, D. N. Neshev, A. A. Sukhorukov, W. Królikowski, C. Denz, and Yu. S. Kivshar, “Reduced-symmetry two-dimensional solitons in photonic lattices,” Phys. Rev. Lett. 96, 023905–4 (2006).
[Crossref] [PubMed]

Fleischer, J. W.

G. Bartal, O. Cohen, H. Buljan, J. W. Fleischer, O. Manela, and M. Segev, “Brillouin zone spectroscopy of nonlinear photonic lattices,” Phys. Rev. Lett. 94, 163902–4 (2005).
[Crossref] [PubMed]

G. Bartal, O. Manela, O. Cohen, J. W. Fleischer, and M. Segev, “Observation of second-band vortex solitons in 2D photonic lattices,” Phys. Rev. Lett. 95, 053904–4 (2005).
[Crossref] [PubMed]

M. Chauvet, G. Fu, G. Salamo, J. W. Fleischer, and M. Segev, “Experimental Observation of Discrete Modulation Instability in 1-D Nonlinear Waveguide Arrays,” In Nonlinear Guided Waves and Their Applications, Postconference ed. OSA p. WD39 (Optical Society of America, Washington DC, 2005).

B. Freedman, O. Cohen, O. Manela, M. Segev, J. W. Fleischer, and D. N. Christodoulides, “Grating-mediated wave guiding and holographic solitons,” J. Opt. Soc. Am. B 22, 1349–1355 (2005).
[Crossref]

O. Manela, O. Cohen, G. Bartal, J. W. Fleischer, and M. Segev, “Two-dimensional higher-band vortex lattice solitons,” Opt. Lett. 29, 2049–2051 (2004).
[Crossref] [PubMed]

O. Cohen, B. Freedman, J. W. Fleischer, M. Segev, and D. N. Christodoulides, “Grating-mediated waveguiding,” Phys. Rev. Lett. 93, 103902–4 (2004).
[Crossref] [PubMed]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422, 147–150 (2003).
[Crossref] [PubMed]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, “Discrete solitons in photore-fractive optically induced photonic lattices,” Phys. Rev. E 66, 046602–5 (2002).
[Crossref]

Freedman, B.

B. Freedman, O. Cohen, O. Manela, M. Segev, J. W. Fleischer, and D. N. Christodoulides, “Grating-mediated wave guiding and holographic solitons,” J. Opt. Soc. Am. B 22, 1349–1355 (2005).
[Crossref]

O. Cohen, B. Freedman, J. W. Fleischer, M. Segev, and D. N. Christodoulides, “Grating-mediated waveguiding,” Phys. Rev. Lett. 93, 103902–4 (2004).
[Crossref] [PubMed]

Fu, G.

M. Chauvet, G. Fu, G. Salamo, J. W. Fleischer, and M. Segev, “Experimental Observation of Discrete Modulation Instability in 1-D Nonlinear Waveguide Arrays,” In Nonlinear Guided Waves and Their Applications, Postconference ed. OSA p. WD39 (Optical Society of America, Washington DC, 2005).

Gersen, H.

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. Hulst van, T. F. Krauss, and L. Kuipers, “Direct observation of Bloch harmonics and negative phase velocity in photonic crystal waveguides,” Phys. Rev. Lett. 94, 123901–4 (2005).
[Crossref] [PubMed]

R. J. P. Engelen, T. J. Karle, H. Gersen, J. P. Korterik, T. F. Krauss, L. Kuipers, and N. F. Hulst van, “Local probing of Bloch mode dispersion in a photonic crystal waveguide,” Opt. Express 13, 4457–4464 (2005), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-12-4457.
[Crossref] [PubMed]

Hudock, J.

Iwanow, R.

Joannopoulos, J. D.

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton University Press, Princeton, 1995).

John, S.

N. Akozbek and S. John, “Optical solitary waves in two- and three-dimensional nonlinear photonic band-gap structures,” Phys. Rev. E 57, 2287–2319 (1998).
[Crossref]

S. John and N. Akozbek, “Nonlinear-optical solitary waves in a photonic band-gap,” Phys. Rev. Lett. 71, 1168–1171 (1993).
[Crossref] [PubMed]

Joseph, R. I.

Karle, T. J.

R. J. P. Engelen, T. J. Karle, H. Gersen, J. P. Korterik, T. F. Krauss, L. Kuipers, and N. F. Hulst van, “Local probing of Bloch mode dispersion in a photonic crystal waveguide,” Opt. Express 13, 4457–4464 (2005), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-12-4457.
[Crossref] [PubMed]

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. Hulst van, T. F. Krauss, and L. Kuipers, “Direct observation of Bloch harmonics and negative phase velocity in photonic crystal waveguides,” Phys. Rev. Lett. 94, 123901–4 (2005).
[Crossref] [PubMed]

Kartashov, Y. V.

Kip, D.

Kivshar, Yu. S.

R. Fischer, D. Träger, D. N. Neshev, A. A. Sukhorukov, W. Królikowski, C. Denz, and Yu. S. Kivshar, “Reduced-symmetry two-dimensional solitons in photonic lattices,” Phys. Rev. Lett. 96, 023905–4 (2006).
[Crossref] [PubMed]

A. A. Sukhorukov, D. Neshev, W. Królikowski, and Yu. S. Kivshar, “Nonlinear Bloch-wave interaction and Bragg scattering in optically induced lattices,” Phys. Rev. Lett. 92, 093901–4 (2004).
[Crossref] [PubMed]

S. F. Mingaleev and Yu. S. Kivshar, “Self-trapping and stable localized modes in nonlinear photonic crystals,” Phys. Rev. Lett. 86, 5474–5477 (2001).
[Crossref] [PubMed]

Korterik, J. P.

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. Hulst van, T. F. Krauss, and L. Kuipers, “Direct observation of Bloch harmonics and negative phase velocity in photonic crystal waveguides,” Phys. Rev. Lett. 94, 123901–4 (2005).
[Crossref] [PubMed]

R. J. P. Engelen, T. J. Karle, H. Gersen, J. P. Korterik, T. F. Krauss, L. Kuipers, and N. F. Hulst van, “Local probing of Bloch mode dispersion in a photonic crystal waveguide,” Opt. Express 13, 4457–4464 (2005), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-12-4457.
[Crossref] [PubMed]

Krauss, T. F.

R. J. P. Engelen, T. J. Karle, H. Gersen, J. P. Korterik, T. F. Krauss, L. Kuipers, and N. F. Hulst van, “Local probing of Bloch mode dispersion in a photonic crystal waveguide,” Opt. Express 13, 4457–4464 (2005), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-12-4457.
[Crossref] [PubMed]

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. Hulst van, T. F. Krauss, and L. Kuipers, “Direct observation of Bloch harmonics and negative phase velocity in photonic crystal waveguides,” Phys. Rev. Lett. 94, 123901–4 (2005).
[Crossref] [PubMed]

Kristensen, M.

S. I. Bozhevolnyi, V. S. Volkov, T. Sondergaard, A. Boltasseva, P. I. Borel, and M. Kristensen, “Near-field imaging of light propagation in photonic crystal waveguides: explicit role of Bloch harmonics,” Phys. Rev. B 66, 235204–9 (2002).
[Crossref]

Królikowski, W.

R. Fischer, D. Träger, D. N. Neshev, A. A. Sukhorukov, W. Królikowski, C. Denz, and Yu. S. Kivshar, “Reduced-symmetry two-dimensional solitons in photonic lattices,” Phys. Rev. Lett. 96, 023905–4 (2006).
[Crossref] [PubMed]

A. A. Sukhorukov, D. Neshev, W. Królikowski, and Yu. S. Kivshar, “Nonlinear Bloch-wave interaction and Bragg scattering in optically induced lattices,” Phys. Rev. Lett. 92, 093901–4 (2004).
[Crossref] [PubMed]

Kuchinsky, S.

M. Lončar, D. NedeljkoviĆ, T. P. Pearsall, J. VučkoviĆ, A. Scherer, S. Kuchinsky, and D. C. Allan, “Experimental and theoretical confirmation of Bloch-mode light propagation in planar photonic crystal waveguides,” Appl. Phys. Lett. 80, 1689–1691 (2002).
[Crossref]

Kuipers, L.

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. Hulst van, T. F. Krauss, and L. Kuipers, “Direct observation of Bloch harmonics and negative phase velocity in photonic crystal waveguides,” Phys. Rev. Lett. 94, 123901–4 (2005).
[Crossref] [PubMed]

R. J. P. Engelen, T. J. Karle, H. Gersen, J. P. Korterik, T. F. Krauss, L. Kuipers, and N. F. Hulst van, “Local probing of Bloch mode dispersion in a photonic crystal waveguide,” Opt. Express 13, 4457–4464 (2005), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-12-4457.
[Crossref] [PubMed]

Lederer, F.

T. Pertsch, T. Zentgraf, U. Peschel, A. Brauer, and F. Lederer, “Anomalous refraction and diffraction in discrete optical systems,” Phys. Rev. Lett. 88, 093901–4 (2002).
[Crossref] [PubMed]

Loncar, M.

M. Lončar, D. NedeljkoviĆ, T. P. Pearsall, J. VučkoviĆ, A. Scherer, S. Kuchinsky, and D. C. Allan, “Experimental and theoretical confirmation of Bloch-mode light propagation in planar photonic crystal waveguides,” Appl. Phys. Lett. 80, 1689–1691 (2002).
[Crossref]

Lucas, F. D. Lloyd

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

Mandelik, D.

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, 053902–4 (2003).
[Crossref] [PubMed]

Manela, O.

G. Bartal, O. Cohen, H. Buljan, J. W. Fleischer, O. Manela, and M. Segev, “Brillouin zone spectroscopy of nonlinear photonic lattices,” Phys. Rev. Lett. 94, 163902–4 (2005).
[Crossref] [PubMed]

G. Bartal, O. Manela, O. Cohen, J. W. Fleischer, and M. Segev, “Observation of second-band vortex solitons in 2D photonic lattices,” Phys. Rev. Lett. 95, 053904–4 (2005).
[Crossref] [PubMed]

B. Freedman, O. Cohen, O. Manela, M. Segev, J. W. Fleischer, and D. N. Christodoulides, “Grating-mediated wave guiding and holographic solitons,” J. Opt. Soc. Am. B 22, 1349–1355 (2005).
[Crossref]

O. Manela, O. Cohen, G. Bartal, J. W. Fleischer, and M. Segev, “Two-dimensional higher-band vortex lattice solitons,” Opt. Lett. 29, 2049–2051 (2004).
[Crossref] [PubMed]

Martin, H.

H. Martin, E. D. Eugenieva, Z. G. Chen, and D. N. Christodoulides, “Discrete solitons and soliton-induced dislocations in partially coherent photonic lattices,” Phys. Rev. Lett. 92, 123902–4 (2004).
[Crossref] [PubMed]

Meade, R. D.

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton University Press, Princeton, 1995).

Meier, J.

J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotti, H. Yang, G. Salamo, M. Sorel, and J. S. Aitchison, “Experimental observation of discrete modulational instability,” Phys. Rev. Lett. 92, 163902–4 (2004).
[Crossref] [PubMed]

Mills, D. L.

W. Chen and D. L. Mills, “Gap solitons and the nonlinear optical-response of superlattices,” Phys. Rev. Lett. 58, 160–163 (1987).
[Crossref] [PubMed]

Min, Y.

Mingaleev, S. F.

S. F. Mingaleev and Yu. S. Kivshar, “Self-trapping and stable localized modes in nonlinear photonic crystals,” Phys. Rev. Lett. 86, 5474–5477 (2001).
[Crossref] [PubMed]

Morandotti, R.

J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotti, H. Yang, G. Salamo, M. Sorel, and J. S. Aitchison, “Experimental observation of discrete modulational instability,” Phys. Rev. Lett. 92, 163902–4 (2004).
[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, 053902–4 (2003).
[Crossref] [PubMed]

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

Nabiev, R. F.

NedeljkoviC, D.

M. Lončar, D. NedeljkoviĆ, T. P. Pearsall, J. VučkoviĆ, A. Scherer, S. Kuchinsky, and D. C. Allan, “Experimental and theoretical confirmation of Bloch-mode light propagation in planar photonic crystal waveguides,” Appl. Phys. Lett. 80, 1689–1691 (2002).
[Crossref]

Neshev, D.

A. A. Sukhorukov, D. Neshev, W. Królikowski, and Yu. S. Kivshar, “Nonlinear Bloch-wave interaction and Bragg scattering in optically induced lattices,” Phys. Rev. Lett. 92, 093901–4 (2004).
[Crossref] [PubMed]

Neshev, D. N.

R. Fischer, D. Träger, D. N. Neshev, A. A. Sukhorukov, W. Królikowski, C. Denz, and Yu. S. Kivshar, “Reduced-symmetry two-dimensional solitons in photonic lattices,” Phys. Rev. Lett. 96, 023905–4 (2006).
[Crossref] [PubMed]

Painter, O.

P. E. Barclay, K. Srinivasan, M. Borselli, and O. Painter, “Probing the dispersive and spatial properties of photonic crystal waveguides via highly efficient coupling from fiber tapers,” Appl. Phys. Lett. 85, 4–6 (2004).
[Crossref]

Pearsall, T. P.

M. Lončar, D. NedeljkoviĆ, T. P. Pearsall, J. VučkoviĆ, A. Scherer, S. Kuchinsky, and D. C. Allan, “Experimental and theoretical confirmation of Bloch-mode light propagation in planar photonic crystal waveguides,” Appl. Phys. Lett. 80, 1689–1691 (2002).
[Crossref]

Pertsch, T.

T. Pertsch, T. Zentgraf, U. Peschel, A. Brauer, and F. Lederer, “Anomalous refraction and diffraction in discrete optical systems,” Phys. Rev. Lett. 88, 093901–4 (2002).
[Crossref] [PubMed]

Peschel, U.

T. Pertsch, T. Zentgraf, U. Peschel, A. Brauer, and F. Lederer, “Anomalous refraction and diffraction in discrete optical systems,” Phys. Rev. Lett. 88, 093901–4 (2002).
[Crossref] [PubMed]

Russell, P. S.

P. S. Russell, “Bloch wave analysis of dispersion and pulse-propagation in pure distributed feedback structures,” J. Mod. Opt. 38, 1599–1619 (1991).
[Crossref]

Russell, P. St. J.

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

Rüter, C.

Ryzhov, Yu. N.

Yu. I. Voloshchenko, Yu. N. Ryzhov, and V. E. Sotin, “Stationary waves in non-linear, periodically modulated media with higher group retardation,” Zh. Tekh. Fiz. 51, 902–907 (1981) (in Russian) [English translation: Tech. Phys. 26, 541-544 (1981)].

Salamo, G.

M. Chauvet, G. Fu, G. Salamo, J. W. Fleischer, and M. Segev, “Experimental Observation of Discrete Modulation Instability in 1-D Nonlinear Waveguide Arrays,” In Nonlinear Guided Waves and Their Applications, Postconference ed. OSA p. WD39 (Optical Society of America, Washington DC, 2005).

J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotti, H. Yang, G. Salamo, M. Sorel, and J. S. Aitchison, “Experimental observation of discrete modulational instability,” Phys. Rev. Lett. 92, 163902–4 (2004).
[Crossref] [PubMed]

Scherer, A.

M. Lončar, D. NedeljkoviĆ, T. P. Pearsall, J. VučkoviĆ, A. Scherer, S. Kuchinsky, and D. C. Allan, “Experimental and theoretical confirmation of Bloch-mode light propagation in planar photonic crystal waveguides,” Appl. Phys. Lett. 80, 1689–1691 (2002).
[Crossref]

Schiek, R.

Sears, S.

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, “Discrete solitons in photore-fractive optically induced photonic lattices,” Phys. Rev. E 66, 046602–5 (2002).
[Crossref]

Segev, M.

G. Bartal, O. Cohen, H. Buljan, J. W. Fleischer, O. Manela, and M. Segev, “Brillouin zone spectroscopy of nonlinear photonic lattices,” Phys. Rev. Lett. 94, 163902–4 (2005).
[Crossref] [PubMed]

G. Bartal, O. Manela, O. Cohen, J. W. Fleischer, and M. Segev, “Observation of second-band vortex solitons in 2D photonic lattices,” Phys. Rev. Lett. 95, 053904–4 (2005).
[Crossref] [PubMed]

M. Chauvet, G. Fu, G. Salamo, J. W. Fleischer, and M. Segev, “Experimental Observation of Discrete Modulation Instability in 1-D Nonlinear Waveguide Arrays,” In Nonlinear Guided Waves and Their Applications, Postconference ed. OSA p. WD39 (Optical Society of America, Washington DC, 2005).

B. Freedman, O. Cohen, O. Manela, M. Segev, J. W. Fleischer, and D. N. Christodoulides, “Grating-mediated wave guiding and holographic solitons,” J. Opt. Soc. Am. B 22, 1349–1355 (2005).
[Crossref]

O. Manela, O. Cohen, G. Bartal, J. W. Fleischer, and M. Segev, “Two-dimensional higher-band vortex lattice solitons,” Opt. Lett. 29, 2049–2051 (2004).
[Crossref] [PubMed]

O. Cohen, B. Freedman, J. W. Fleischer, M. Segev, and D. N. Christodoulides, “Grating-mediated waveguiding,” Phys. Rev. Lett. 93, 103902–4 (2004).
[Crossref] [PubMed]

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422, 147–150 (2003).
[Crossref] [PubMed]

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, “Discrete solitons in photore-fractive optically induced photonic lattices,” Phys. Rev. E 66, 046602–5 (2002).
[Crossref]

Silberberg, Y.

J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotti, H. Yang, G. Salamo, M. Sorel, and J. S. Aitchison, “Experimental observation of discrete modulational instability,” Phys. Rev. Lett. 92, 163902–4 (2004).
[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, 053902–4 (2003).
[Crossref] [PubMed]

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

Sipe, J. E.

B. J. Eggleton, C. M. de Sterke, A. B. Aceves, J. E. Sipe, T. A. Strasser, and R. E. Slusher, “Modulational instability and tunable multiple soliton generation in apodized fiber gratings,” Opt. Commun. 149, 267–271 (1998).
[Crossref]

C. M. de Sterke and J. E. Sipe, “Gap solitons,” in Progress in Optics, E. Wolf, ed., (North-Holland, Amsterdam, 1994), Vol. XXXIII, pp. 203–260.

Slusher, R. E.

B. J. Eggleton, C. M. de Sterke, A. B. Aceves, J. E. Sipe, T. A. Strasser, and R. E. Slusher, “Modulational instability and tunable multiple soliton generation in apodized fiber gratings,” Opt. Commun. 149, 267–271 (1998).
[Crossref]

B. J. Eggleton, C. M. de Sterke, and R. E. Slusher, “Nonlinear pulse propagation in Bragg gratings,” J. Opt. Soc. Am. B 14, 2980–2993 (1997).
[Crossref]

Sohler, W.

Sondergaard, T.

S. I. Bozhevolnyi, V. S. Volkov, T. Sondergaard, A. Boltasseva, P. I. Borel, and M. Kristensen, “Near-field imaging of light propagation in photonic crystal waveguides: explicit role of Bloch harmonics,” Phys. Rev. B 66, 235204–9 (2002).
[Crossref]

Sorel, M.

J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotti, H. Yang, G. Salamo, M. Sorel, and J. S. Aitchison, “Experimental observation of discrete modulational instability,” Phys. Rev. Lett. 92, 163902–4 (2004).
[Crossref] [PubMed]

Sotin, V. E.

Yu. I. Voloshchenko, Yu. N. Ryzhov, and V. E. Sotin, “Stationary waves in non-linear, periodically modulated media with higher group retardation,” Zh. Tekh. Fiz. 51, 902–907 (1981) (in Russian) [English translation: Tech. Phys. 26, 541-544 (1981)].

Srinivasan, K.

P. E. Barclay, K. Srinivasan, M. Borselli, and O. Painter, “Probing the dispersive and spatial properties of photonic crystal waveguides via highly efficient coupling from fiber tapers,” Appl. Phys. Lett. 85, 4–6 (2004).
[Crossref]

Stegeman, G. I.

R. Iwanow, G. I. Stegeman, R. Schiek, Y. Min, and W. Sohler, “Discrete modulational instability in periodically poled lithium niobate waveguide arrays,” Opt. Express 13, 7794–7799 (2005), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-20-7794.
[Crossref] [PubMed]

J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotti, H. Yang, G. Salamo, M. Sorel, and J. S. Aitchison, “Experimental observation of discrete modulational instability,” Phys. Rev. Lett. 92, 163902–4 (2004).
[Crossref] [PubMed]

StepiC, M.

Sterke, C. M. de

B. J. Eggleton, C. M. de Sterke, A. B. Aceves, J. E. Sipe, T. A. Strasser, and R. E. Slusher, “Modulational instability and tunable multiple soliton generation in apodized fiber gratings,” Opt. Commun. 149, 267–271 (1998).
[Crossref]

C. M. de Sterke, “Theory of modulational instability in fiber Bragg gratings,” J. Opt. Soc. Am. B 15, 2660–2667 (1998).
[Crossref]

B. J. Eggleton, C. M. de Sterke, and R. E. Slusher, “Nonlinear pulse propagation in Bragg gratings,” J. Opt. Soc. Am. B 14, 2980–2993 (1997).
[Crossref]

C. M. de Sterke and J. E. Sipe, “Gap solitons,” in Progress in Optics, E. Wolf, ed., (North-Holland, Amsterdam, 1994), Vol. XXXIII, pp. 203–260.

Strasser, T. A.

B. J. Eggleton, C. M. de Sterke, A. B. Aceves, J. E. Sipe, T. A. Strasser, and R. E. Slusher, “Modulational instability and tunable multiple soliton generation in apodized fiber gratings,” Opt. Commun. 149, 267–271 (1998).
[Crossref]

Sukhorukov, A. A.

R. Fischer, D. Träger, D. N. Neshev, A. A. Sukhorukov, W. Królikowski, C. Denz, and Yu. S. Kivshar, “Reduced-symmetry two-dimensional solitons in photonic lattices,” Phys. Rev. Lett. 96, 023905–4 (2006).
[Crossref] [PubMed]

A. A. Sukhorukov, D. Neshev, W. Królikowski, and Yu. S. Kivshar, “Nonlinear Bloch-wave interaction and Bragg scattering in optically induced lattices,” Phys. Rev. Lett. 92, 093901–4 (2004).
[Crossref] [PubMed]

Torner, L.

Träger, D.

R. Fischer, D. Träger, D. N. Neshev, A. A. Sukhorukov, W. Królikowski, C. Denz, and Yu. S. Kivshar, “Reduced-symmetry two-dimensional solitons in photonic lattices,” Phys. Rev. Lett. 96, 023905–4 (2006).
[Crossref] [PubMed]

van, N. F. Hulst

R. J. P. Engelen, T. J. Karle, H. Gersen, J. P. Korterik, T. F. Krauss, L. Kuipers, and N. F. Hulst van, “Local probing of Bloch mode dispersion in a photonic crystal waveguide,” Opt. Express 13, 4457–4464 (2005), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-12-4457.
[Crossref] [PubMed]

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. Hulst van, T. F. Krauss, and L. Kuipers, “Direct observation of Bloch harmonics and negative phase velocity in photonic crystal waveguides,” Phys. Rev. Lett. 94, 123901–4 (2005).
[Crossref] [PubMed]

Volkov, V. S.

S. I. Bozhevolnyi, V. S. Volkov, T. Sondergaard, A. Boltasseva, P. I. Borel, and M. Kristensen, “Near-field imaging of light propagation in photonic crystal waveguides: explicit role of Bloch harmonics,” Phys. Rev. B 66, 235204–9 (2002).
[Crossref]

Voloshchenko, Yu. I.

Yu. I. Voloshchenko, Yu. N. Ryzhov, and V. E. Sotin, “Stationary waves in non-linear, periodically modulated media with higher group retardation,” Zh. Tekh. Fiz. 51, 902–907 (1981) (in Russian) [English translation: Tech. Phys. 26, 541-544 (1981)].

VuckoviC, J.

M. Lončar, D. NedeljkoviĆ, T. P. Pearsall, J. VučkoviĆ, A. Scherer, S. Kuchinsky, and D. C. Allan, “Experimental and theoretical confirmation of Bloch-mode light propagation in planar photonic crystal waveguides,” Appl. Phys. Lett. 80, 1689–1691 (2002).
[Crossref]

Vysloukh, V. A.

Winn, J. N.

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton University Press, Princeton, 1995).

Wirth, C.

Yang, H.

J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotti, H. Yang, G. Salamo, M. Sorel, and J. S. Aitchison, “Experimental observation of discrete modulational instability,” Phys. Rev. Lett. 92, 163902–4 (2004).
[Crossref] [PubMed]

Yeh, P.

Zentgraf, T.

T. Pertsch, T. Zentgraf, U. Peschel, A. Brauer, and F. Lederer, “Anomalous refraction and diffraction in discrete optical systems,” Phys. Rev. Lett. 88, 093901–4 (2002).
[Crossref] [PubMed]

Appl. Phys. Lett. (2)

M. Lončar, D. NedeljkoviĆ, T. P. Pearsall, J. VučkoviĆ, A. Scherer, S. Kuchinsky, and D. C. Allan, “Experimental and theoretical confirmation of Bloch-mode light propagation in planar photonic crystal waveguides,” Appl. Phys. Lett. 80, 1689–1691 (2002).
[Crossref]

P. E. Barclay, K. Srinivasan, M. Borselli, and O. Painter, “Probing the dispersive and spatial properties of photonic crystal waveguides via highly efficient coupling from fiber tapers,” Appl. Phys. Lett. 85, 4–6 (2004).
[Crossref]

J. Mod. Opt. (1)

P. S. Russell, “Bloch wave analysis of dispersion and pulse-propagation in pure distributed feedback structures,” J. Mod. Opt. 38, 1599–1619 (1991).
[Crossref]

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

Nature (1)

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices,” Nature 422, 147–150 (2003).
[Crossref] [PubMed]

Opt. Commun. (1)

B. J. Eggleton, C. M. de Sterke, A. B. Aceves, J. E. Sipe, T. A. Strasser, and R. E. Slusher, “Modulational instability and tunable multiple soliton generation in apodized fiber gratings,” Opt. Commun. 149, 267–271 (1998).
[Crossref]

Opt. Express (3)

Opt. Lett. (6)

Phys. Rev. B (1)

S. I. Bozhevolnyi, V. S. Volkov, T. Sondergaard, A. Boltasseva, P. I. Borel, and M. Kristensen, “Near-field imaging of light propagation in photonic crystal waveguides: explicit role of Bloch harmonics,” Phys. Rev. B 66, 235204–9 (2002).
[Crossref]

Phys. Rev. E (2)

N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, “Discrete solitons in photore-fractive optically induced photonic lattices,” Phys. Rev. E 66, 046602–5 (2002).
[Crossref]

N. Akozbek and S. John, “Optical solitary waves in two- and three-dimensional nonlinear photonic band-gap structures,” Phys. Rev. E 57, 2287–2319 (1998).
[Crossref]

Phys. Rev. Lett. (14)

S. F. Mingaleev and Yu. S. Kivshar, “Self-trapping and stable localized modes in nonlinear photonic crystals,” Phys. Rev. Lett. 86, 5474–5477 (2001).
[Crossref] [PubMed]

J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotti, H. Yang, G. Salamo, M. Sorel, and J. S. Aitchison, “Experimental observation of discrete modulational instability,” Phys. Rev. Lett. 92, 163902–4 (2004).
[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, 053902–4 (2003).
[Crossref] [PubMed]

A. A. Sukhorukov, D. Neshev, W. Królikowski, and Yu. S. Kivshar, “Nonlinear Bloch-wave interaction and Bragg scattering in optically induced lattices,” Phys. Rev. Lett. 92, 093901–4 (2004).
[Crossref] [PubMed]

H. Martin, E. D. Eugenieva, Z. G. Chen, and D. N. Christodoulides, “Discrete solitons and soliton-induced dislocations in partially coherent photonic lattices,” Phys. Rev. Lett. 92, 123902–4 (2004).
[Crossref] [PubMed]

O. Cohen, B. Freedman, J. W. Fleischer, M. Segev, and D. N. Christodoulides, “Grating-mediated waveguiding,” Phys. Rev. Lett. 93, 103902–4 (2004).
[Crossref] [PubMed]

G. Bartal, O. Cohen, H. Buljan, J. W. Fleischer, O. Manela, and M. Segev, “Brillouin zone spectroscopy of nonlinear photonic lattices,” Phys. Rev. Lett. 94, 163902–4 (2005).
[Crossref] [PubMed]

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. Hulst van, T. F. Krauss, and L. Kuipers, “Direct observation of Bloch harmonics and negative phase velocity in photonic crystal waveguides,” Phys. Rev. Lett. 94, 123901–4 (2005).
[Crossref] [PubMed]

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

T. Pertsch, T. Zentgraf, U. Peschel, A. Brauer, and F. Lederer, “Anomalous refraction and diffraction in discrete optical systems,” Phys. Rev. Lett. 88, 093901–4 (2002).
[Crossref] [PubMed]

S. John and N. Akozbek, “Nonlinear-optical solitary waves in a photonic band-gap,” Phys. Rev. Lett. 71, 1168–1171 (1993).
[Crossref] [PubMed]

W. Chen and D. L. Mills, “Gap solitons and the nonlinear optical-response of superlattices,” Phys. Rev. Lett. 58, 160–163 (1987).
[Crossref] [PubMed]

G. Bartal, O. Manela, O. Cohen, J. W. Fleischer, and M. Segev, “Observation of second-band vortex solitons in 2D photonic lattices,” Phys. Rev. Lett. 95, 053904–4 (2005).
[Crossref] [PubMed]

R. Fischer, D. Träger, D. N. Neshev, A. A. Sukhorukov, W. Królikowski, C. Denz, and Yu. S. Kivshar, “Reduced-symmetry two-dimensional solitons in photonic lattices,” Phys. Rev. Lett. 96, 023905–4 (2006).
[Crossref] [PubMed]

Zh. Tekh. Fiz. (1)

Yu. I. Voloshchenko, Yu. N. Ryzhov, and V. E. Sotin, “Stationary waves in non-linear, periodically modulated media with higher group retardation,” Zh. Tekh. Fiz. 51, 902–907 (1981) (in Russian) [English translation: Tech. Phys. 26, 541-544 (1981)].

Other (5)

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton University Press, Princeton, 1995).

C. M. de Sterke and J. E. Sipe, “Gap solitons,” in Progress in Optics, E. Wolf, ed., (North-Holland, Amsterdam, 1994), Vol. XXXIII, pp. 203–260.

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

M. Chauvet, G. Fu, G. Salamo, J. W. Fleischer, and M. Segev, “Experimental Observation of Discrete Modulation Instability in 1-D Nonlinear Waveguide Arrays,” In Nonlinear Guided Waves and Their Applications, Postconference ed. OSA p. WD39 (Optical Society of America, Washington DC, 2005).

Nonlinear Photonic Crystals, Vol.  10 of Springer Series in Photonics, R. E. Slusher and B. J. Eggleton, eds., (Springer-Verlag, Berlin, 2003).

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 (8)

Fig. 1.
Fig. 1.

(a) Experimental image of a two-dimensional optically-induced photonic lattice, that is spatially periodic in the transverse directions (x,y) and stationary along the longitudinal direction z. (b) Calculated bandgap dispersion β(K). Dots indicate the main symmetry points. Inset in (b) depicts the corresponding first Brillouin zone.

Fig. 2.
Fig. 2.

Intensity (top) and phase (bottom) of different Bloch modes from the high symmetry points of the first and second band of a square lattice. The blue color for the phase distribution corresponds to the zero phase, while the red color corresponds to the π phase.

Fig. 3.
Fig. 3.

Experimental setup for the excitation of two-dimensional Bloch modes: HV: High voltage, CCD: camera, FF: Fourier filter mask, λ/2: half wave plate; PPM: Programmable phase modulator, DOE: Diffractive optical element to produce four coherent beams, PBS: Polarizing beam splitter. Left inset: Geometry of the two-dimensional optical lattice. Right inset: Example of a phase and amplitude engineered wave in the optical lattice.

Fig. 4.
Fig. 4.

Experimental data (top row) and numerical results (bottom) for the excitation of the two-dimensional Bloch waves from the Γ point of the first spectral band (Γ1). (a) Input beam; (b-e) outputs for input powers of 25nW, 125 nW, 250 nW, and 375 nW, respectively.

Fig. 5.
Fig. 5.

Experimental data (top row) and numerical results (bottom) for the excitation of the two-dimensional Bloch waves from the X point of the first spectral band (X1). (a) Input beam; (b,c) outputs for input powers of 25nW and 375 nW, respectively.

Fig. 6.
Fig. 6.

Experimental data (top row) and numerical results (bottom) for the excitation of the two-dimensional Bloch waves from the M point of the first spectral band (M1). (a) Input beam; (b-e) outputs for input powers of 40nW, 125nW, 300nW, and 850nW, respectively.

Fig. 7.
Fig. 7.

Experimental data (top row) and numerical results (bottom) for the excitation of the two-dimensional Bloch waves from the X point of the second spectral band (X2). (a) Input beam; (b-e) outputs for input powers of 20nW, 50nW, 100nW, and 200nW, respectively.

Fig. 8.
Fig. 8.

Experimental data (top row) and numerical results (bottom) for the excitation of the two-dimensional Bloch waves from the M point of the second spectral band (M2). (a) Input beam; (b-e) outputs for input powers of 25nW, 90nW, 270nW, and 660nW, respectively.

Equations (9)

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

I p x y = I g { cos [ π ( x + y ) d ] + cos [ π ( x y ) d ] } 2 ,
i E z + D ( 2 E x 2 + 2 E y 2 ) + x y E 2 E = 0 ,
x y E 2 = γ I b + I p x y + E 2
E x y z = ψ x y exp ( iβz + i K x x + i K y y ) ,
E x y = A exp ( x 2 w x 2 y 2 w y 2 ) ,
E x y = A cos ( Kx ) exp ( x 2 w x 2 y 2 w y 2 ) ,
E x y = A cos ( Kx ) cos ( Ky ) exp ( x 2 w x 2 y 2 w y 2 ) ,
E x y = A cos [ K ( x d 2 ) ] exp ( x 2 w x 2 y 2 w y 2 ) ,
E x y = A cos ( Kx + Ky ) exp ( x 2 w x 2 y 2 w y 2 ) ,

Metrics