Abstract

We propose photonic lattices with segmentation-based linear self imaging as integrated optical limiters. Starting from unity transmission in the linear regime, nonlinear delocalization leads to a continuous decrease of the overall transmission for increasing input powers. The diffractive propagation between input and output port offers the additional benefit of substantially decreased nonlinear spectral distortions. The functionality is demonstrated experimentally in a waveguide lattice realized in bulk fused silica with the femtosecond laser writing technique.

© 2012 OSA

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. B. J. Eggleton, B. Luther-Davies, and K. Richardson, “Chalcogenide photonics,” Nature Photon.5, 141–148 (2011).
  2. T. Vo, J. Schröder, B. Corcoran, J. V. Erps, S. J. Madden, D.-Y. Choi, D. A. P. Bulla, B. Luther-Davies, M. D. Pelusi, and B. J. Eggleton, “Photonic-chip-based ultrafast waveform analysis and optical performance monitoring,” IEEE J. Sel. Top. Quantum Electron.18, 834–846 (2012).
    [CrossRef]
  3. H. Ji, M. Galili, H. Hu, M. Pu, L. K. Oxenløwe, K. Yvind, J. M. Hvam, and P. Jeppesen, “1.28-tb/s demultiplexing of an otdm dpsk data signal using a silicon waveguide,” IEEE Photon. Technol. Lett.22, 1762–1764 (2010).
    [CrossRef]
  4. L. W. Tutt and T. F. Boggess, “A review of optical limiting mechanisms and devices using organics, fullerenes, semiconductors and other materials,” Prog. Quantum Electron.17, 299 (1993).
    [CrossRef]
  5. J. W. Perry, K. Mansour, I.-Y. S. Lee, X.-L. Wu, P. V. Bedworth, C.-T. Chen, D. Ng, S. R. Marder, P. Miles, T. Wada, M. Tian, and H. Sasabe, “Organic optical limiter with a strong nonlinear absorptive response,” Science273, 1533–1536 (1996).
    [CrossRef]
  6. D. E. Spence, P. N. Kean, and W. Sibbett, “60-fsec pulse generation from a self-mode-locked ti:sapphire laser,” Opt. Lett.16, 42–44 (1991).
    [CrossRef] [PubMed]
  7. R. C. C. Leite, S. P. S. Porto, and T. C. Damen, “The thermal lens effect as a powerlimiting device,” Appl. Phys. Lett.10, 100–101 (1967).
    [CrossRef]
  8. A. Szameit and S. Nolte, “Discrete optics in femtosecond laser-written photonic structures,” J. Phys. B43, 163001 (2010).
    [CrossRef]
  9. F. Lederer, G. Stegeman, D. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep.463, 1–126 (2008).
    [CrossRef]
  10. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton Shape and Mobility Control in Optical Lattices,” Prog. Opt.52, 63–148 (2009).
    [CrossRef]
  11. D. Christodoulides and R. Joseph, “Discrete self-focusing in nonlinear arrays of coupled waveguides,” Opt. Lett.13, 794–796 (1988).
    [CrossRef] [PubMed]
  12. Y. Kivshar, “Self-localization in arrays of defocusing waveguides,” Opt. Lett.18, 1147–1149 (1993).
    [CrossRef] [PubMed]
  13. D. Christodoulides and E. Eugenieva, “Blocking and routing discrete solitons in two-dimensional networks of nonlinear waveguide arrays,” Phys. Rev. Lett.87, 233901 (2001).
    [CrossRef] [PubMed]
  14. R. Keil, M. Heinrich, F. Dreisow, T. Pertsch, A. Tünnermann, S. Nolte, D. N. Christodoulides, and A. Szameit, “All-optical routing and switching for three-dimensional photonic circuitry,” Sci. Rep.1, 94 (2011).
    [CrossRef]
  15. J. Yang, P. Zhang, M. Yoshihara, Y. Hu, and Z. Chen, “Image transmission using stable solitons of arbitrary shapes in photonic lattices,” Opt. Lett.36, 772–774 (2011).
    [CrossRef] [PubMed]
  16. R. Iwanow, D. May-Arrioja, D. Christodoulides, G. Stegeman, Y. Min, and W. Sohler, “Discrete Talbot effect in waveguide arrays,” Phys. Rev. Lett.95, 053902 (2005).
    [CrossRef] [PubMed]
  17. F. Bloch, “Über die Quantenmechanik der Elektronen in Kristallgittern,” Z. Phys.52, 555–600 (1929).
    [CrossRef]
  18. R. Morandotti, U. Peschel, J. Aitchinson, H. Eisenberg, and Y. Silberberg, “Experimental observation of linear and nonlinear optical Bloch oscillations,” Phys. Rev. Lett.83, 4756–4759 (1999).
    [CrossRef]
  19. S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, “Observation of dynamic localization in periodically curved waveguide arrays,” Phys. Rev. Lett.96, 243901 (2006).
    [CrossRef] [PubMed]
  20. F. Dreisow, M. Heinrich, A. Szameit, S. Doering, S. Nolte, A. Tuennermann, S. Fahr, and F. Lederer, “Spectral resolved dynamic localization in curved fs laser written waveguide arrays,” Opt. Express16, 3474–3483 (2008).
    [CrossRef] [PubMed]
  21. P. Zhang, N. K. Efremidis, A. Miller, Y. Hu, and Z. Chen, “Observation of coherent destruction of tunneling and unusual beam dynamics due to negative coupling in three-dimensional photonic lattices,” Opt. Lett.35, 3252–3254 (2010).
    [CrossRef] [PubMed]
  22. S. Longhi, “Imaging reconstruction in segmented waveguide arrays,” Opt. Lett.33, 473–475 (2008).
    [CrossRef] [PubMed]
  23. A. Szameit, F. Dreisow, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, E. Suran, F. Louradour, A. Barthelemy, and S. Longhi, “Image reconstruction in segmented femtosecond laser-written waveguide arrays,” Appl. Phys. Lett.93, 181109 (2008).
    [CrossRef]
  24. R. Keil, Y. Lahini, Y. Shechtman, M. Heinrich, R. Pugatch, F. Dreisow, S. Nolte, and A. Szameit, “Perfect imaging through a disordered waveguide lattice,” Opt. Lett.37, 809–811 (2012).
    [CrossRef] [PubMed]
  25. M. Heinrich, R. Keil, Y. Lahini, U. Naether, F. Dreisow, A. Tünnermann, S. Nolte, and A. Szameit, “Disorder-enhanced nonlinear delocalization in segmented waveguide arrays,” New J. Phys.12, 073026 (2012).
    [CrossRef]
  26. K. Itoh, W. Watanabe, S. Nolte, and C. Schaffer, “Ultrafast processes for bulk modification of transparent materials,” MRS Bull.31, 620–625 (2006).
    [CrossRef]
  27. D. Christodoulides, F. Lederer, and Y. Silberberg, “Discretizing light behaviour in linear and nonlinear optical waveguide lattices,” Nature424, 817–823 (2003).
    [CrossRef] [PubMed]
  28. A. Jones, “Coupling of optical fibers and scattering in fibers,” J. Opt. Soc. Am.55, 261–271 (1965).
    [CrossRef]
  29. T. Schulte, S. Drenkelforth, G. Kleine Büning, W. Ertmer, J. Arlt, M. Lewenstein, and L. Santos, “Dynamics of Bloch oscillations in disordered lattice potentials,” Phys. Rev. A77, 023610 (2008).
    [CrossRef]
  30. I. Babushkin, A. Housakou, J. Herrmann, and Y. S. Kivshar, “Frequency-selective self-trapping and supercontinuum generation in arrays of coupled nonlinear waveguides,” Opt. Express15, 11978–11983 (2007).
    [CrossRef] [PubMed]
  31. F. Eilenberger, S. Minardi, A. Szameit, U. Röpke, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, L. Torner, F. Lederer, A. Tünnermann, and T. Pertsch, “Evolution dynamics of discrete-continuous light bullets,” Phys. Rev. A84, 013836 (2011).
    [CrossRef]
  32. M. Kolesik and J. V. Moloney, “Nonlinear optical pulse propagation simulation: From maxwell’s to unidirectional equations,” Phys. Rev. E70, 036604 (2004).
    [CrossRef]
  33. P. Kinsler, “Unidirectional optical pulse propagation equation for materials with both electric and magnetic responses,” Phys. Rev. A81, 023808 (2010).
    [CrossRef]
  34. M. Heinrich, A. Szameit, F. Dreisow, R. Keil, S. Minardi, T. Pertsch, S. Nolte, A. Tünnermann, and F. Lederer, “Erratum: Observation of three-dimensional discrete-continuous x waves in photonic lattices,” Phys. Rev. Lett.106, 029901 (2011).
    [CrossRef]
  35. G. Agrawal, Nonlinear Fiber Optics, 3rd ed. (Academic Press, 2001).
  36. F. Eilenberger, M. de Sterke, and B. J. Eggleton, “Soliton mediated optical quantization in the transmission of one-dimensional photonic crystals,” Opt. Express18, 12708–12718 (2010).
    [CrossRef] [PubMed]
  37. T. Fukuda, S. Ishikawa, T. Fujii, K. Sakuma, and H. Hosoya, “Low-loss optical waveguides written by femtosecond laser pulses for three-dimensional photonic devices,” Proc. SPIE5339, 524–538 (2004).
    [CrossRef]
  38. H. Eisenberg, Y. Silberberg, R. Morandotti, and J. Aitchison, “Diffraction management,” Phys. Rev. Lett.85, 1863–1866 (2000).
    [CrossRef] [PubMed]
  39. Y. Vlasov, “Silicon integrated nanophotonics: Road from scientific explorations to practical applications,” in Proceedings of CLEO/QELS, San Jose, CA, USA (2012).

2012 (3)

T. Vo, J. Schröder, B. Corcoran, J. V. Erps, S. J. Madden, D.-Y. Choi, D. A. P. Bulla, B. Luther-Davies, M. D. Pelusi, and B. J. Eggleton, “Photonic-chip-based ultrafast waveform analysis and optical performance monitoring,” IEEE J. Sel. Top. Quantum Electron.18, 834–846 (2012).
[CrossRef]

R. Keil, Y. Lahini, Y. Shechtman, M. Heinrich, R. Pugatch, F. Dreisow, S. Nolte, and A. Szameit, “Perfect imaging through a disordered waveguide lattice,” Opt. Lett.37, 809–811 (2012).
[CrossRef] [PubMed]

M. Heinrich, R. Keil, Y. Lahini, U. Naether, F. Dreisow, A. Tünnermann, S. Nolte, and A. Szameit, “Disorder-enhanced nonlinear delocalization in segmented waveguide arrays,” New J. Phys.12, 073026 (2012).
[CrossRef]

2011 (5)

F. Eilenberger, S. Minardi, A. Szameit, U. Röpke, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, L. Torner, F. Lederer, A. Tünnermann, and T. Pertsch, “Evolution dynamics of discrete-continuous light bullets,” Phys. Rev. A84, 013836 (2011).
[CrossRef]

M. Heinrich, A. Szameit, F. Dreisow, R. Keil, S. Minardi, T. Pertsch, S. Nolte, A. Tünnermann, and F. Lederer, “Erratum: Observation of three-dimensional discrete-continuous x waves in photonic lattices,” Phys. Rev. Lett.106, 029901 (2011).
[CrossRef]

R. Keil, M. Heinrich, F. Dreisow, T. Pertsch, A. Tünnermann, S. Nolte, D. N. Christodoulides, and A. Szameit, “All-optical routing and switching for three-dimensional photonic circuitry,” Sci. Rep.1, 94 (2011).
[CrossRef]

J. Yang, P. Zhang, M. Yoshihara, Y. Hu, and Z. Chen, “Image transmission using stable solitons of arbitrary shapes in photonic lattices,” Opt. Lett.36, 772–774 (2011).
[CrossRef] [PubMed]

B. J. Eggleton, B. Luther-Davies, and K. Richardson, “Chalcogenide photonics,” Nature Photon.5, 141–148 (2011).

2010 (5)

H. Ji, M. Galili, H. Hu, M. Pu, L. K. Oxenløwe, K. Yvind, J. M. Hvam, and P. Jeppesen, “1.28-tb/s demultiplexing of an otdm dpsk data signal using a silicon waveguide,” IEEE Photon. Technol. Lett.22, 1762–1764 (2010).
[CrossRef]

A. Szameit and S. Nolte, “Discrete optics in femtosecond laser-written photonic structures,” J. Phys. B43, 163001 (2010).
[CrossRef]

F. Eilenberger, M. de Sterke, and B. J. Eggleton, “Soliton mediated optical quantization in the transmission of one-dimensional photonic crystals,” Opt. Express18, 12708–12718 (2010).
[CrossRef] [PubMed]

P. Zhang, N. K. Efremidis, A. Miller, Y. Hu, and Z. Chen, “Observation of coherent destruction of tunneling and unusual beam dynamics due to negative coupling in three-dimensional photonic lattices,” Opt. Lett.35, 3252–3254 (2010).
[CrossRef] [PubMed]

P. Kinsler, “Unidirectional optical pulse propagation equation for materials with both electric and magnetic responses,” Phys. Rev. A81, 023808 (2010).
[CrossRef]

2009 (1)

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton Shape and Mobility Control in Optical Lattices,” Prog. Opt.52, 63–148 (2009).
[CrossRef]

2008 (5)

F. Lederer, G. Stegeman, D. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep.463, 1–126 (2008).
[CrossRef]

S. Longhi, “Imaging reconstruction in segmented waveguide arrays,” Opt. Lett.33, 473–475 (2008).
[CrossRef] [PubMed]

A. Szameit, F. Dreisow, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, E. Suran, F. Louradour, A. Barthelemy, and S. Longhi, “Image reconstruction in segmented femtosecond laser-written waveguide arrays,” Appl. Phys. Lett.93, 181109 (2008).
[CrossRef]

F. Dreisow, M. Heinrich, A. Szameit, S. Doering, S. Nolte, A. Tuennermann, S. Fahr, and F. Lederer, “Spectral resolved dynamic localization in curved fs laser written waveguide arrays,” Opt. Express16, 3474–3483 (2008).
[CrossRef] [PubMed]

T. Schulte, S. Drenkelforth, G. Kleine Büning, W. Ertmer, J. Arlt, M. Lewenstein, and L. Santos, “Dynamics of Bloch oscillations in disordered lattice potentials,” Phys. Rev. A77, 023610 (2008).
[CrossRef]

2007 (1)

2006 (2)

S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, “Observation of dynamic localization in periodically curved waveguide arrays,” Phys. Rev. Lett.96, 243901 (2006).
[CrossRef] [PubMed]

K. Itoh, W. Watanabe, S. Nolte, and C. Schaffer, “Ultrafast processes for bulk modification of transparent materials,” MRS Bull.31, 620–625 (2006).
[CrossRef]

2005 (1)

R. Iwanow, D. May-Arrioja, D. Christodoulides, G. Stegeman, Y. Min, and W. Sohler, “Discrete Talbot effect in waveguide arrays,” Phys. Rev. Lett.95, 053902 (2005).
[CrossRef] [PubMed]

2004 (2)

M. Kolesik and J. V. Moloney, “Nonlinear optical pulse propagation simulation: From maxwell’s to unidirectional equations,” Phys. Rev. E70, 036604 (2004).
[CrossRef]

T. Fukuda, S. Ishikawa, T. Fujii, K. Sakuma, and H. Hosoya, “Low-loss optical waveguides written by femtosecond laser pulses for three-dimensional photonic devices,” Proc. SPIE5339, 524–538 (2004).
[CrossRef]

2003 (1)

D. Christodoulides, F. Lederer, and Y. Silberberg, “Discretizing light behaviour in linear and nonlinear optical waveguide lattices,” Nature424, 817–823 (2003).
[CrossRef] [PubMed]

2001 (1)

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

2000 (1)

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

1999 (1)

R. Morandotti, U. Peschel, J. Aitchinson, H. Eisenberg, and Y. Silberberg, “Experimental observation of linear and nonlinear optical Bloch oscillations,” Phys. Rev. Lett.83, 4756–4759 (1999).
[CrossRef]

1996 (1)

J. W. Perry, K. Mansour, I.-Y. S. Lee, X.-L. Wu, P. V. Bedworth, C.-T. Chen, D. Ng, S. R. Marder, P. Miles, T. Wada, M. Tian, and H. Sasabe, “Organic optical limiter with a strong nonlinear absorptive response,” Science273, 1533–1536 (1996).
[CrossRef]

1993 (2)

L. W. Tutt and T. F. Boggess, “A review of optical limiting mechanisms and devices using organics, fullerenes, semiconductors and other materials,” Prog. Quantum Electron.17, 299 (1993).
[CrossRef]

Y. Kivshar, “Self-localization in arrays of defocusing waveguides,” Opt. Lett.18, 1147–1149 (1993).
[CrossRef] [PubMed]

1991 (1)

1988 (1)

1967 (1)

R. C. C. Leite, S. P. S. Porto, and T. C. Damen, “The thermal lens effect as a powerlimiting device,” Appl. Phys. Lett.10, 100–101 (1967).
[CrossRef]

1965 (1)

1929 (1)

F. Bloch, “Über die Quantenmechanik der Elektronen in Kristallgittern,” Z. Phys.52, 555–600 (1929).
[CrossRef]

Agrawal, G.

G. Agrawal, Nonlinear Fiber Optics, 3rd ed. (Academic Press, 2001).

Aitchinson, J.

R. Morandotti, U. Peschel, J. Aitchinson, H. Eisenberg, and Y. Silberberg, “Experimental observation of linear and nonlinear optical Bloch oscillations,” Phys. Rev. Lett.83, 4756–4759 (1999).
[CrossRef]

Aitchison, J.

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

Arlt, J.

T. Schulte, S. Drenkelforth, G. Kleine Büning, W. Ertmer, J. Arlt, M. Lewenstein, and L. Santos, “Dynamics of Bloch oscillations in disordered lattice potentials,” Phys. Rev. A77, 023610 (2008).
[CrossRef]

Assanto, G.

F. Lederer, G. Stegeman, D. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep.463, 1–126 (2008).
[CrossRef]

Babushkin, I.

Bartelt, H.

F. Eilenberger, S. Minardi, A. Szameit, U. Röpke, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, L. Torner, F. Lederer, A. Tünnermann, and T. Pertsch, “Evolution dynamics of discrete-continuous light bullets,” Phys. Rev. A84, 013836 (2011).
[CrossRef]

Barthelemy, A.

A. Szameit, F. Dreisow, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, E. Suran, F. Louradour, A. Barthelemy, and S. Longhi, “Image reconstruction in segmented femtosecond laser-written waveguide arrays,” Appl. Phys. Lett.93, 181109 (2008).
[CrossRef]

Bedworth, P. V.

J. W. Perry, K. Mansour, I.-Y. S. Lee, X.-L. Wu, P. V. Bedworth, C.-T. Chen, D. Ng, S. R. Marder, P. Miles, T. Wada, M. Tian, and H. Sasabe, “Organic optical limiter with a strong nonlinear absorptive response,” Science273, 1533–1536 (1996).
[CrossRef]

Bloch, F.

F. Bloch, “Über die Quantenmechanik der Elektronen in Kristallgittern,” Z. Phys.52, 555–600 (1929).
[CrossRef]

Boggess, T. F.

L. W. Tutt and T. F. Boggess, “A review of optical limiting mechanisms and devices using organics, fullerenes, semiconductors and other materials,” Prog. Quantum Electron.17, 299 (1993).
[CrossRef]

Bulla, D. A. P.

T. Vo, J. Schröder, B. Corcoran, J. V. Erps, S. J. Madden, D.-Y. Choi, D. A. P. Bulla, B. Luther-Davies, M. D. Pelusi, and B. J. Eggleton, “Photonic-chip-based ultrafast waveform analysis and optical performance monitoring,” IEEE J. Sel. Top. Quantum Electron.18, 834–846 (2012).
[CrossRef]

Chen, C.-T.

J. W. Perry, K. Mansour, I.-Y. S. Lee, X.-L. Wu, P. V. Bedworth, C.-T. Chen, D. Ng, S. R. Marder, P. Miles, T. Wada, M. Tian, and H. Sasabe, “Organic optical limiter with a strong nonlinear absorptive response,” Science273, 1533–1536 (1996).
[CrossRef]

Chen, Z.

Choi, D.-Y.

T. Vo, J. Schröder, B. Corcoran, J. V. Erps, S. J. Madden, D.-Y. Choi, D. A. P. Bulla, B. Luther-Davies, M. D. Pelusi, and B. J. Eggleton, “Photonic-chip-based ultrafast waveform analysis and optical performance monitoring,” IEEE J. Sel. Top. Quantum Electron.18, 834–846 (2012).
[CrossRef]

Christodoulides, D.

F. Lederer, G. Stegeman, D. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep.463, 1–126 (2008).
[CrossRef]

R. Iwanow, D. May-Arrioja, D. Christodoulides, G. Stegeman, Y. Min, and W. Sohler, “Discrete Talbot effect in waveguide arrays,” Phys. Rev. Lett.95, 053902 (2005).
[CrossRef] [PubMed]

D. Christodoulides, F. Lederer, and Y. Silberberg, “Discretizing light behaviour in linear and nonlinear optical waveguide lattices,” Nature424, 817–823 (2003).
[CrossRef] [PubMed]

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

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

Christodoulides, D. N.

R. Keil, M. Heinrich, F. Dreisow, T. Pertsch, A. Tünnermann, S. Nolte, D. N. Christodoulides, and A. Szameit, “All-optical routing and switching for three-dimensional photonic circuitry,” Sci. Rep.1, 94 (2011).
[CrossRef]

Cianci, E.

S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, “Observation of dynamic localization in periodically curved waveguide arrays,” Phys. Rev. Lett.96, 243901 (2006).
[CrossRef] [PubMed]

Corcoran, B.

T. Vo, J. Schröder, B. Corcoran, J. V. Erps, S. J. Madden, D.-Y. Choi, D. A. P. Bulla, B. Luther-Davies, M. D. Pelusi, and B. J. Eggleton, “Photonic-chip-based ultrafast waveform analysis and optical performance monitoring,” IEEE J. Sel. Top. Quantum Electron.18, 834–846 (2012).
[CrossRef]

Damen, T. C.

R. C. C. Leite, S. P. S. Porto, and T. C. Damen, “The thermal lens effect as a powerlimiting device,” Appl. Phys. Lett.10, 100–101 (1967).
[CrossRef]

de Sterke, M.

Doering, S.

Dreisow, F.

R. Keil, Y. Lahini, Y. Shechtman, M. Heinrich, R. Pugatch, F. Dreisow, S. Nolte, and A. Szameit, “Perfect imaging through a disordered waveguide lattice,” Opt. Lett.37, 809–811 (2012).
[CrossRef] [PubMed]

M. Heinrich, R. Keil, Y. Lahini, U. Naether, F. Dreisow, A. Tünnermann, S. Nolte, and A. Szameit, “Disorder-enhanced nonlinear delocalization in segmented waveguide arrays,” New J. Phys.12, 073026 (2012).
[CrossRef]

R. Keil, M. Heinrich, F. Dreisow, T. Pertsch, A. Tünnermann, S. Nolte, D. N. Christodoulides, and A. Szameit, “All-optical routing and switching for three-dimensional photonic circuitry,” Sci. Rep.1, 94 (2011).
[CrossRef]

M. Heinrich, A. Szameit, F. Dreisow, R. Keil, S. Minardi, T. Pertsch, S. Nolte, A. Tünnermann, and F. Lederer, “Erratum: Observation of three-dimensional discrete-continuous x waves in photonic lattices,” Phys. Rev. Lett.106, 029901 (2011).
[CrossRef]

A. Szameit, F. Dreisow, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, E. Suran, F. Louradour, A. Barthelemy, and S. Longhi, “Image reconstruction in segmented femtosecond laser-written waveguide arrays,” Appl. Phys. Lett.93, 181109 (2008).
[CrossRef]

F. Dreisow, M. Heinrich, A. Szameit, S. Doering, S. Nolte, A. Tuennermann, S. Fahr, and F. Lederer, “Spectral resolved dynamic localization in curved fs laser written waveguide arrays,” Opt. Express16, 3474–3483 (2008).
[CrossRef] [PubMed]

Drenkelforth, S.

T. Schulte, S. Drenkelforth, G. Kleine Büning, W. Ertmer, J. Arlt, M. Lewenstein, and L. Santos, “Dynamics of Bloch oscillations in disordered lattice potentials,” Phys. Rev. A77, 023610 (2008).
[CrossRef]

Efremidis, N. K.

Eggleton, B. J.

T. Vo, J. Schröder, B. Corcoran, J. V. Erps, S. J. Madden, D.-Y. Choi, D. A. P. Bulla, B. Luther-Davies, M. D. Pelusi, and B. J. Eggleton, “Photonic-chip-based ultrafast waveform analysis and optical performance monitoring,” IEEE J. Sel. Top. Quantum Electron.18, 834–846 (2012).
[CrossRef]

B. J. Eggleton, B. Luther-Davies, and K. Richardson, “Chalcogenide photonics,” Nature Photon.5, 141–148 (2011).

F. Eilenberger, M. de Sterke, and B. J. Eggleton, “Soliton mediated optical quantization in the transmission of one-dimensional photonic crystals,” Opt. Express18, 12708–12718 (2010).
[CrossRef] [PubMed]

Eilenberger, F.

F. Eilenberger, S. Minardi, A. Szameit, U. Röpke, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, L. Torner, F. Lederer, A. Tünnermann, and T. Pertsch, “Evolution dynamics of discrete-continuous light bullets,” Phys. Rev. A84, 013836 (2011).
[CrossRef]

F. Eilenberger, M. de Sterke, and B. J. Eggleton, “Soliton mediated optical quantization in the transmission of one-dimensional photonic crystals,” Opt. Express18, 12708–12718 (2010).
[CrossRef] [PubMed]

Eisenberg, H.

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

R. Morandotti, U. Peschel, J. Aitchinson, H. Eisenberg, and Y. Silberberg, “Experimental observation of linear and nonlinear optical Bloch oscillations,” Phys. Rev. Lett.83, 4756–4759 (1999).
[CrossRef]

Erps, J. V.

T. Vo, J. Schröder, B. Corcoran, J. V. Erps, S. J. Madden, D.-Y. Choi, D. A. P. Bulla, B. Luther-Davies, M. D. Pelusi, and B. J. Eggleton, “Photonic-chip-based ultrafast waveform analysis and optical performance monitoring,” IEEE J. Sel. Top. Quantum Electron.18, 834–846 (2012).
[CrossRef]

Ertmer, W.

T. Schulte, S. Drenkelforth, G. Kleine Büning, W. Ertmer, J. Arlt, M. Lewenstein, and L. Santos, “Dynamics of Bloch oscillations in disordered lattice potentials,” Phys. Rev. A77, 023610 (2008).
[CrossRef]

Eugenieva, E.

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

Fahr, S.

Foglietti, V.

S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, “Observation of dynamic localization in periodically curved waveguide arrays,” Phys. Rev. Lett.96, 243901 (2006).
[CrossRef] [PubMed]

Fujii, T.

T. Fukuda, S. Ishikawa, T. Fujii, K. Sakuma, and H. Hosoya, “Low-loss optical waveguides written by femtosecond laser pulses for three-dimensional photonic devices,” Proc. SPIE5339, 524–538 (2004).
[CrossRef]

Fukuda, T.

T. Fukuda, S. Ishikawa, T. Fujii, K. Sakuma, and H. Hosoya, “Low-loss optical waveguides written by femtosecond laser pulses for three-dimensional photonic devices,” Proc. SPIE5339, 524–538 (2004).
[CrossRef]

Galili, M.

H. Ji, M. Galili, H. Hu, M. Pu, L. K. Oxenløwe, K. Yvind, J. M. Hvam, and P. Jeppesen, “1.28-tb/s demultiplexing of an otdm dpsk data signal using a silicon waveguide,” IEEE Photon. Technol. Lett.22, 1762–1764 (2010).
[CrossRef]

Heinrich, M.

M. Heinrich, R. Keil, Y. Lahini, U. Naether, F. Dreisow, A. Tünnermann, S. Nolte, and A. Szameit, “Disorder-enhanced nonlinear delocalization in segmented waveguide arrays,” New J. Phys.12, 073026 (2012).
[CrossRef]

R. Keil, Y. Lahini, Y. Shechtman, M. Heinrich, R. Pugatch, F. Dreisow, S. Nolte, and A. Szameit, “Perfect imaging through a disordered waveguide lattice,” Opt. Lett.37, 809–811 (2012).
[CrossRef] [PubMed]

R. Keil, M. Heinrich, F. Dreisow, T. Pertsch, A. Tünnermann, S. Nolte, D. N. Christodoulides, and A. Szameit, “All-optical routing and switching for three-dimensional photonic circuitry,” Sci. Rep.1, 94 (2011).
[CrossRef]

M. Heinrich, A. Szameit, F. Dreisow, R. Keil, S. Minardi, T. Pertsch, S. Nolte, A. Tünnermann, and F. Lederer, “Erratum: Observation of three-dimensional discrete-continuous x waves in photonic lattices,” Phys. Rev. Lett.106, 029901 (2011).
[CrossRef]

A. Szameit, F. Dreisow, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, E. Suran, F. Louradour, A. Barthelemy, and S. Longhi, “Image reconstruction in segmented femtosecond laser-written waveguide arrays,” Appl. Phys. Lett.93, 181109 (2008).
[CrossRef]

F. Dreisow, M. Heinrich, A. Szameit, S. Doering, S. Nolte, A. Tuennermann, S. Fahr, and F. Lederer, “Spectral resolved dynamic localization in curved fs laser written waveguide arrays,” Opt. Express16, 3474–3483 (2008).
[CrossRef] [PubMed]

Herrmann, J.

Hosoya, H.

T. Fukuda, S. Ishikawa, T. Fujii, K. Sakuma, and H. Hosoya, “Low-loss optical waveguides written by femtosecond laser pulses for three-dimensional photonic devices,” Proc. SPIE5339, 524–538 (2004).
[CrossRef]

Housakou, A.

Hu, H.

H. Ji, M. Galili, H. Hu, M. Pu, L. K. Oxenløwe, K. Yvind, J. M. Hvam, and P. Jeppesen, “1.28-tb/s demultiplexing of an otdm dpsk data signal using a silicon waveguide,” IEEE Photon. Technol. Lett.22, 1762–1764 (2010).
[CrossRef]

Hu, Y.

Hvam, J. M.

H. Ji, M. Galili, H. Hu, M. Pu, L. K. Oxenløwe, K. Yvind, J. M. Hvam, and P. Jeppesen, “1.28-tb/s demultiplexing of an otdm dpsk data signal using a silicon waveguide,” IEEE Photon. Technol. Lett.22, 1762–1764 (2010).
[CrossRef]

Ishikawa, S.

T. Fukuda, S. Ishikawa, T. Fujii, K. Sakuma, and H. Hosoya, “Low-loss optical waveguides written by femtosecond laser pulses for three-dimensional photonic devices,” Proc. SPIE5339, 524–538 (2004).
[CrossRef]

Itoh, K.

K. Itoh, W. Watanabe, S. Nolte, and C. Schaffer, “Ultrafast processes for bulk modification of transparent materials,” MRS Bull.31, 620–625 (2006).
[CrossRef]

Iwanow, R.

R. Iwanow, D. May-Arrioja, D. Christodoulides, G. Stegeman, Y. Min, and W. Sohler, “Discrete Talbot effect in waveguide arrays,” Phys. Rev. Lett.95, 053902 (2005).
[CrossRef] [PubMed]

Jeppesen, P.

H. Ji, M. Galili, H. Hu, M. Pu, L. K. Oxenløwe, K. Yvind, J. M. Hvam, and P. Jeppesen, “1.28-tb/s demultiplexing of an otdm dpsk data signal using a silicon waveguide,” IEEE Photon. Technol. Lett.22, 1762–1764 (2010).
[CrossRef]

Ji, H.

H. Ji, M. Galili, H. Hu, M. Pu, L. K. Oxenløwe, K. Yvind, J. M. Hvam, and P. Jeppesen, “1.28-tb/s demultiplexing of an otdm dpsk data signal using a silicon waveguide,” IEEE Photon. Technol. Lett.22, 1762–1764 (2010).
[CrossRef]

Jones, A.

Joseph, R.

Kartashov, Y. V.

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton Shape and Mobility Control in Optical Lattices,” Prog. Opt.52, 63–148 (2009).
[CrossRef]

Kean, P. N.

Keil, R.

R. Keil, Y. Lahini, Y. Shechtman, M. Heinrich, R. Pugatch, F. Dreisow, S. Nolte, and A. Szameit, “Perfect imaging through a disordered waveguide lattice,” Opt. Lett.37, 809–811 (2012).
[CrossRef] [PubMed]

M. Heinrich, R. Keil, Y. Lahini, U. Naether, F. Dreisow, A. Tünnermann, S. Nolte, and A. Szameit, “Disorder-enhanced nonlinear delocalization in segmented waveguide arrays,” New J. Phys.12, 073026 (2012).
[CrossRef]

R. Keil, M. Heinrich, F. Dreisow, T. Pertsch, A. Tünnermann, S. Nolte, D. N. Christodoulides, and A. Szameit, “All-optical routing and switching for three-dimensional photonic circuitry,” Sci. Rep.1, 94 (2011).
[CrossRef]

M. Heinrich, A. Szameit, F. Dreisow, R. Keil, S. Minardi, T. Pertsch, S. Nolte, A. Tünnermann, and F. Lederer, “Erratum: Observation of three-dimensional discrete-continuous x waves in photonic lattices,” Phys. Rev. Lett.106, 029901 (2011).
[CrossRef]

Kinsler, P.

P. Kinsler, “Unidirectional optical pulse propagation equation for materials with both electric and magnetic responses,” Phys. Rev. A81, 023808 (2010).
[CrossRef]

Kivshar, Y.

Kivshar, Y. S.

Kleine Büning, G.

T. Schulte, S. Drenkelforth, G. Kleine Büning, W. Ertmer, J. Arlt, M. Lewenstein, and L. Santos, “Dynamics of Bloch oscillations in disordered lattice potentials,” Phys. Rev. A77, 023610 (2008).
[CrossRef]

Kobelke, J.

F. Eilenberger, S. Minardi, A. Szameit, U. Röpke, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, L. Torner, F. Lederer, A. Tünnermann, and T. Pertsch, “Evolution dynamics of discrete-continuous light bullets,” Phys. Rev. A84, 013836 (2011).
[CrossRef]

Kolesik, M.

M. Kolesik and J. V. Moloney, “Nonlinear optical pulse propagation simulation: From maxwell’s to unidirectional equations,” Phys. Rev. E70, 036604 (2004).
[CrossRef]

Lahini, Y.

M. Heinrich, R. Keil, Y. Lahini, U. Naether, F. Dreisow, A. Tünnermann, S. Nolte, and A. Szameit, “Disorder-enhanced nonlinear delocalization in segmented waveguide arrays,” New J. Phys.12, 073026 (2012).
[CrossRef]

R. Keil, Y. Lahini, Y. Shechtman, M. Heinrich, R. Pugatch, F. Dreisow, S. Nolte, and A. Szameit, “Perfect imaging through a disordered waveguide lattice,” Opt. Lett.37, 809–811 (2012).
[CrossRef] [PubMed]

Laporta, P.

S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, “Observation of dynamic localization in periodically curved waveguide arrays,” Phys. Rev. Lett.96, 243901 (2006).
[CrossRef] [PubMed]

Lederer, F.

F. Eilenberger, S. Minardi, A. Szameit, U. Röpke, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, L. Torner, F. Lederer, A. Tünnermann, and T. Pertsch, “Evolution dynamics of discrete-continuous light bullets,” Phys. Rev. A84, 013836 (2011).
[CrossRef]

M. Heinrich, A. Szameit, F. Dreisow, R. Keil, S. Minardi, T. Pertsch, S. Nolte, A. Tünnermann, and F. Lederer, “Erratum: Observation of three-dimensional discrete-continuous x waves in photonic lattices,” Phys. Rev. Lett.106, 029901 (2011).
[CrossRef]

F. Lederer, G. Stegeman, D. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep.463, 1–126 (2008).
[CrossRef]

F. Dreisow, M. Heinrich, A. Szameit, S. Doering, S. Nolte, A. Tuennermann, S. Fahr, and F. Lederer, “Spectral resolved dynamic localization in curved fs laser written waveguide arrays,” Opt. Express16, 3474–3483 (2008).
[CrossRef] [PubMed]

D. Christodoulides, F. Lederer, and Y. Silberberg, “Discretizing light behaviour in linear and nonlinear optical waveguide lattices,” Nature424, 817–823 (2003).
[CrossRef] [PubMed]

Lee, I.-Y. S.

J. W. Perry, K. Mansour, I.-Y. S. Lee, X.-L. Wu, P. V. Bedworth, C.-T. Chen, D. Ng, S. R. Marder, P. Miles, T. Wada, M. Tian, and H. Sasabe, “Organic optical limiter with a strong nonlinear absorptive response,” Science273, 1533–1536 (1996).
[CrossRef]

Leite, R. C. C.

R. C. C. Leite, S. P. S. Porto, and T. C. Damen, “The thermal lens effect as a powerlimiting device,” Appl. Phys. Lett.10, 100–101 (1967).
[CrossRef]

Lewenstein, M.

T. Schulte, S. Drenkelforth, G. Kleine Büning, W. Ertmer, J. Arlt, M. Lewenstein, and L. Santos, “Dynamics of Bloch oscillations in disordered lattice potentials,” Phys. Rev. A77, 023610 (2008).
[CrossRef]

Lobino, M.

S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, “Observation of dynamic localization in periodically curved waveguide arrays,” Phys. Rev. Lett.96, 243901 (2006).
[CrossRef] [PubMed]

Longhi, S.

A. Szameit, F. Dreisow, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, E. Suran, F. Louradour, A. Barthelemy, and S. Longhi, “Image reconstruction in segmented femtosecond laser-written waveguide arrays,” Appl. Phys. Lett.93, 181109 (2008).
[CrossRef]

S. Longhi, “Imaging reconstruction in segmented waveguide arrays,” Opt. Lett.33, 473–475 (2008).
[CrossRef] [PubMed]

S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, “Observation of dynamic localization in periodically curved waveguide arrays,” Phys. Rev. Lett.96, 243901 (2006).
[CrossRef] [PubMed]

Louradour, F.

A. Szameit, F. Dreisow, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, E. Suran, F. Louradour, A. Barthelemy, and S. Longhi, “Image reconstruction in segmented femtosecond laser-written waveguide arrays,” Appl. Phys. Lett.93, 181109 (2008).
[CrossRef]

Luther-Davies, B.

T. Vo, J. Schröder, B. Corcoran, J. V. Erps, S. J. Madden, D.-Y. Choi, D. A. P. Bulla, B. Luther-Davies, M. D. Pelusi, and B. J. Eggleton, “Photonic-chip-based ultrafast waveform analysis and optical performance monitoring,” IEEE J. Sel. Top. Quantum Electron.18, 834–846 (2012).
[CrossRef]

B. J. Eggleton, B. Luther-Davies, and K. Richardson, “Chalcogenide photonics,” Nature Photon.5, 141–148 (2011).

Madden, S. J.

T. Vo, J. Schröder, B. Corcoran, J. V. Erps, S. J. Madden, D.-Y. Choi, D. A. P. Bulla, B. Luther-Davies, M. D. Pelusi, and B. J. Eggleton, “Photonic-chip-based ultrafast waveform analysis and optical performance monitoring,” IEEE J. Sel. Top. Quantum Electron.18, 834–846 (2012).
[CrossRef]

Mansour, K.

J. W. Perry, K. Mansour, I.-Y. S. Lee, X.-L. Wu, P. V. Bedworth, C.-T. Chen, D. Ng, S. R. Marder, P. Miles, T. Wada, M. Tian, and H. Sasabe, “Organic optical limiter with a strong nonlinear absorptive response,” Science273, 1533–1536 (1996).
[CrossRef]

Marangoni, M.

S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, “Observation of dynamic localization in periodically curved waveguide arrays,” Phys. Rev. Lett.96, 243901 (2006).
[CrossRef] [PubMed]

Marder, S. R.

J. W. Perry, K. Mansour, I.-Y. S. Lee, X.-L. Wu, P. V. Bedworth, C.-T. Chen, D. Ng, S. R. Marder, P. Miles, T. Wada, M. Tian, and H. Sasabe, “Organic optical limiter with a strong nonlinear absorptive response,” Science273, 1533–1536 (1996).
[CrossRef]

May-Arrioja, D.

R. Iwanow, D. May-Arrioja, D. Christodoulides, G. Stegeman, Y. Min, and W. Sohler, “Discrete Talbot effect in waveguide arrays,” Phys. Rev. Lett.95, 053902 (2005).
[CrossRef] [PubMed]

Miles, P.

J. W. Perry, K. Mansour, I.-Y. S. Lee, X.-L. Wu, P. V. Bedworth, C.-T. Chen, D. Ng, S. R. Marder, P. Miles, T. Wada, M. Tian, and H. Sasabe, “Organic optical limiter with a strong nonlinear absorptive response,” Science273, 1533–1536 (1996).
[CrossRef]

Miller, A.

Min, Y.

R. Iwanow, D. May-Arrioja, D. Christodoulides, G. Stegeman, Y. Min, and W. Sohler, “Discrete Talbot effect in waveguide arrays,” Phys. Rev. Lett.95, 053902 (2005).
[CrossRef] [PubMed]

Minardi, S.

F. Eilenberger, S. Minardi, A. Szameit, U. Röpke, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, L. Torner, F. Lederer, A. Tünnermann, and T. Pertsch, “Evolution dynamics of discrete-continuous light bullets,” Phys. Rev. A84, 013836 (2011).
[CrossRef]

M. Heinrich, A. Szameit, F. Dreisow, R. Keil, S. Minardi, T. Pertsch, S. Nolte, A. Tünnermann, and F. Lederer, “Erratum: Observation of three-dimensional discrete-continuous x waves in photonic lattices,” Phys. Rev. Lett.106, 029901 (2011).
[CrossRef]

Moloney, J. V.

M. Kolesik and J. V. Moloney, “Nonlinear optical pulse propagation simulation: From maxwell’s to unidirectional equations,” Phys. Rev. E70, 036604 (2004).
[CrossRef]

Morandotti, R.

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

R. Morandotti, U. Peschel, J. Aitchinson, H. Eisenberg, and Y. Silberberg, “Experimental observation of linear and nonlinear optical Bloch oscillations,” Phys. Rev. Lett.83, 4756–4759 (1999).
[CrossRef]

Naether, U.

M. Heinrich, R. Keil, Y. Lahini, U. Naether, F. Dreisow, A. Tünnermann, S. Nolte, and A. Szameit, “Disorder-enhanced nonlinear delocalization in segmented waveguide arrays,” New J. Phys.12, 073026 (2012).
[CrossRef]

Ng, D.

J. W. Perry, K. Mansour, I.-Y. S. Lee, X.-L. Wu, P. V. Bedworth, C.-T. Chen, D. Ng, S. R. Marder, P. Miles, T. Wada, M. Tian, and H. Sasabe, “Organic optical limiter with a strong nonlinear absorptive response,” Science273, 1533–1536 (1996).
[CrossRef]

Nolte, S.

M. Heinrich, R. Keil, Y. Lahini, U. Naether, F. Dreisow, A. Tünnermann, S. Nolte, and A. Szameit, “Disorder-enhanced nonlinear delocalization in segmented waveguide arrays,” New J. Phys.12, 073026 (2012).
[CrossRef]

R. Keil, Y. Lahini, Y. Shechtman, M. Heinrich, R. Pugatch, F. Dreisow, S. Nolte, and A. Szameit, “Perfect imaging through a disordered waveguide lattice,” Opt. Lett.37, 809–811 (2012).
[CrossRef] [PubMed]

R. Keil, M. Heinrich, F. Dreisow, T. Pertsch, A. Tünnermann, S. Nolte, D. N. Christodoulides, and A. Szameit, “All-optical routing and switching for three-dimensional photonic circuitry,” Sci. Rep.1, 94 (2011).
[CrossRef]

M. Heinrich, A. Szameit, F. Dreisow, R. Keil, S. Minardi, T. Pertsch, S. Nolte, A. Tünnermann, and F. Lederer, “Erratum: Observation of three-dimensional discrete-continuous x waves in photonic lattices,” Phys. Rev. Lett.106, 029901 (2011).
[CrossRef]

F. Eilenberger, S. Minardi, A. Szameit, U. Röpke, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, L. Torner, F. Lederer, A. Tünnermann, and T. Pertsch, “Evolution dynamics of discrete-continuous light bullets,” Phys. Rev. A84, 013836 (2011).
[CrossRef]

A. Szameit and S. Nolte, “Discrete optics in femtosecond laser-written photonic structures,” J. Phys. B43, 163001 (2010).
[CrossRef]

A. Szameit, F. Dreisow, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, E. Suran, F. Louradour, A. Barthelemy, and S. Longhi, “Image reconstruction in segmented femtosecond laser-written waveguide arrays,” Appl. Phys. Lett.93, 181109 (2008).
[CrossRef]

F. Dreisow, M. Heinrich, A. Szameit, S. Doering, S. Nolte, A. Tuennermann, S. Fahr, and F. Lederer, “Spectral resolved dynamic localization in curved fs laser written waveguide arrays,” Opt. Express16, 3474–3483 (2008).
[CrossRef] [PubMed]

K. Itoh, W. Watanabe, S. Nolte, and C. Schaffer, “Ultrafast processes for bulk modification of transparent materials,” MRS Bull.31, 620–625 (2006).
[CrossRef]

Oxenløwe, L. K.

H. Ji, M. Galili, H. Hu, M. Pu, L. K. Oxenløwe, K. Yvind, J. M. Hvam, and P. Jeppesen, “1.28-tb/s demultiplexing of an otdm dpsk data signal using a silicon waveguide,” IEEE Photon. Technol. Lett.22, 1762–1764 (2010).
[CrossRef]

Pelusi, M. D.

T. Vo, J. Schröder, B. Corcoran, J. V. Erps, S. J. Madden, D.-Y. Choi, D. A. P. Bulla, B. Luther-Davies, M. D. Pelusi, and B. J. Eggleton, “Photonic-chip-based ultrafast waveform analysis and optical performance monitoring,” IEEE J. Sel. Top. Quantum Electron.18, 834–846 (2012).
[CrossRef]

Perry, J. W.

J. W. Perry, K. Mansour, I.-Y. S. Lee, X.-L. Wu, P. V. Bedworth, C.-T. Chen, D. Ng, S. R. Marder, P. Miles, T. Wada, M. Tian, and H. Sasabe, “Organic optical limiter with a strong nonlinear absorptive response,” Science273, 1533–1536 (1996).
[CrossRef]

Pertsch, T.

R. Keil, M. Heinrich, F. Dreisow, T. Pertsch, A. Tünnermann, S. Nolte, D. N. Christodoulides, and A. Szameit, “All-optical routing and switching for three-dimensional photonic circuitry,” Sci. Rep.1, 94 (2011).
[CrossRef]

F. Eilenberger, S. Minardi, A. Szameit, U. Röpke, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, L. Torner, F. Lederer, A. Tünnermann, and T. Pertsch, “Evolution dynamics of discrete-continuous light bullets,” Phys. Rev. A84, 013836 (2011).
[CrossRef]

M. Heinrich, A. Szameit, F. Dreisow, R. Keil, S. Minardi, T. Pertsch, S. Nolte, A. Tünnermann, and F. Lederer, “Erratum: Observation of three-dimensional discrete-continuous x waves in photonic lattices,” Phys. Rev. Lett.106, 029901 (2011).
[CrossRef]

A. Szameit, F. Dreisow, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, E. Suran, F. Louradour, A. Barthelemy, and S. Longhi, “Image reconstruction in segmented femtosecond laser-written waveguide arrays,” Appl. Phys. Lett.93, 181109 (2008).
[CrossRef]

Peschel, U.

R. Morandotti, U. Peschel, J. Aitchinson, H. Eisenberg, and Y. Silberberg, “Experimental observation of linear and nonlinear optical Bloch oscillations,” Phys. Rev. Lett.83, 4756–4759 (1999).
[CrossRef]

Porto, S. P. S.

R. C. C. Leite, S. P. S. Porto, and T. C. Damen, “The thermal lens effect as a powerlimiting device,” Appl. Phys. Lett.10, 100–101 (1967).
[CrossRef]

Pu, M.

H. Ji, M. Galili, H. Hu, M. Pu, L. K. Oxenløwe, K. Yvind, J. M. Hvam, and P. Jeppesen, “1.28-tb/s demultiplexing of an otdm dpsk data signal using a silicon waveguide,” IEEE Photon. Technol. Lett.22, 1762–1764 (2010).
[CrossRef]

Pugatch, R.

Ramponi, R.

S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, “Observation of dynamic localization in periodically curved waveguide arrays,” Phys. Rev. Lett.96, 243901 (2006).
[CrossRef] [PubMed]

Richardson, K.

B. J. Eggleton, B. Luther-Davies, and K. Richardson, “Chalcogenide photonics,” Nature Photon.5, 141–148 (2011).

Röpke, U.

F. Eilenberger, S. Minardi, A. Szameit, U. Röpke, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, L. Torner, F. Lederer, A. Tünnermann, and T. Pertsch, “Evolution dynamics of discrete-continuous light bullets,” Phys. Rev. A84, 013836 (2011).
[CrossRef]

Sakuma, K.

T. Fukuda, S. Ishikawa, T. Fujii, K. Sakuma, and H. Hosoya, “Low-loss optical waveguides written by femtosecond laser pulses for three-dimensional photonic devices,” Proc. SPIE5339, 524–538 (2004).
[CrossRef]

Santos, L.

T. Schulte, S. Drenkelforth, G. Kleine Büning, W. Ertmer, J. Arlt, M. Lewenstein, and L. Santos, “Dynamics of Bloch oscillations in disordered lattice potentials,” Phys. Rev. A77, 023610 (2008).
[CrossRef]

Sasabe, H.

J. W. Perry, K. Mansour, I.-Y. S. Lee, X.-L. Wu, P. V. Bedworth, C.-T. Chen, D. Ng, S. R. Marder, P. Miles, T. Wada, M. Tian, and H. Sasabe, “Organic optical limiter with a strong nonlinear absorptive response,” Science273, 1533–1536 (1996).
[CrossRef]

Schaffer, C.

K. Itoh, W. Watanabe, S. Nolte, and C. Schaffer, “Ultrafast processes for bulk modification of transparent materials,” MRS Bull.31, 620–625 (2006).
[CrossRef]

Schröder, J.

T. Vo, J. Schröder, B. Corcoran, J. V. Erps, S. J. Madden, D.-Y. Choi, D. A. P. Bulla, B. Luther-Davies, M. D. Pelusi, and B. J. Eggleton, “Photonic-chip-based ultrafast waveform analysis and optical performance monitoring,” IEEE J. Sel. Top. Quantum Electron.18, 834–846 (2012).
[CrossRef]

Schulte, T.

T. Schulte, S. Drenkelforth, G. Kleine Büning, W. Ertmer, J. Arlt, M. Lewenstein, and L. Santos, “Dynamics of Bloch oscillations in disordered lattice potentials,” Phys. Rev. A77, 023610 (2008).
[CrossRef]

Schuster, K.

F. Eilenberger, S. Minardi, A. Szameit, U. Röpke, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, L. Torner, F. Lederer, A. Tünnermann, and T. Pertsch, “Evolution dynamics of discrete-continuous light bullets,” Phys. Rev. A84, 013836 (2011).
[CrossRef]

Segev, M.

F. Lederer, G. Stegeman, D. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep.463, 1–126 (2008).
[CrossRef]

Shechtman, Y.

Sibbett, W.

Silberberg, Y.

F. Lederer, G. Stegeman, D. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep.463, 1–126 (2008).
[CrossRef]

D. Christodoulides, F. Lederer, and Y. Silberberg, “Discretizing light behaviour in linear and nonlinear optical waveguide lattices,” Nature424, 817–823 (2003).
[CrossRef] [PubMed]

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

R. Morandotti, U. Peschel, J. Aitchinson, H. Eisenberg, and Y. Silberberg, “Experimental observation of linear and nonlinear optical Bloch oscillations,” Phys. Rev. Lett.83, 4756–4759 (1999).
[CrossRef]

Sohler, W.

R. Iwanow, D. May-Arrioja, D. Christodoulides, G. Stegeman, Y. Min, and W. Sohler, “Discrete Talbot effect in waveguide arrays,” Phys. Rev. Lett.95, 053902 (2005).
[CrossRef] [PubMed]

Spence, D. E.

Stegeman, G.

F. Lederer, G. Stegeman, D. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep.463, 1–126 (2008).
[CrossRef]

R. Iwanow, D. May-Arrioja, D. Christodoulides, G. Stegeman, Y. Min, and W. Sohler, “Discrete Talbot effect in waveguide arrays,” Phys. Rev. Lett.95, 053902 (2005).
[CrossRef] [PubMed]

Suran, E.

A. Szameit, F. Dreisow, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, E. Suran, F. Louradour, A. Barthelemy, and S. Longhi, “Image reconstruction in segmented femtosecond laser-written waveguide arrays,” Appl. Phys. Lett.93, 181109 (2008).
[CrossRef]

Szameit, A.

M. Heinrich, R. Keil, Y. Lahini, U. Naether, F. Dreisow, A. Tünnermann, S. Nolte, and A. Szameit, “Disorder-enhanced nonlinear delocalization in segmented waveguide arrays,” New J. Phys.12, 073026 (2012).
[CrossRef]

R. Keil, Y. Lahini, Y. Shechtman, M. Heinrich, R. Pugatch, F. Dreisow, S. Nolte, and A. Szameit, “Perfect imaging through a disordered waveguide lattice,” Opt. Lett.37, 809–811 (2012).
[CrossRef] [PubMed]

R. Keil, M. Heinrich, F. Dreisow, T. Pertsch, A. Tünnermann, S. Nolte, D. N. Christodoulides, and A. Szameit, “All-optical routing and switching for three-dimensional photonic circuitry,” Sci. Rep.1, 94 (2011).
[CrossRef]

M. Heinrich, A. Szameit, F. Dreisow, R. Keil, S. Minardi, T. Pertsch, S. Nolte, A. Tünnermann, and F. Lederer, “Erratum: Observation of three-dimensional discrete-continuous x waves in photonic lattices,” Phys. Rev. Lett.106, 029901 (2011).
[CrossRef]

F. Eilenberger, S. Minardi, A. Szameit, U. Röpke, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, L. Torner, F. Lederer, A. Tünnermann, and T. Pertsch, “Evolution dynamics of discrete-continuous light bullets,” Phys. Rev. A84, 013836 (2011).
[CrossRef]

A. Szameit and S. Nolte, “Discrete optics in femtosecond laser-written photonic structures,” J. Phys. B43, 163001 (2010).
[CrossRef]

A. Szameit, F. Dreisow, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, E. Suran, F. Louradour, A. Barthelemy, and S. Longhi, “Image reconstruction in segmented femtosecond laser-written waveguide arrays,” Appl. Phys. Lett.93, 181109 (2008).
[CrossRef]

F. Dreisow, M. Heinrich, A. Szameit, S. Doering, S. Nolte, A. Tuennermann, S. Fahr, and F. Lederer, “Spectral resolved dynamic localization in curved fs laser written waveguide arrays,” Opt. Express16, 3474–3483 (2008).
[CrossRef] [PubMed]

Tian, M.

J. W. Perry, K. Mansour, I.-Y. S. Lee, X.-L. Wu, P. V. Bedworth, C.-T. Chen, D. Ng, S. R. Marder, P. Miles, T. Wada, M. Tian, and H. Sasabe, “Organic optical limiter with a strong nonlinear absorptive response,” Science273, 1533–1536 (1996).
[CrossRef]

Torner, L.

F. Eilenberger, S. Minardi, A. Szameit, U. Röpke, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, L. Torner, F. Lederer, A. Tünnermann, and T. Pertsch, “Evolution dynamics of discrete-continuous light bullets,” Phys. Rev. A84, 013836 (2011).
[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton Shape and Mobility Control in Optical Lattices,” Prog. Opt.52, 63–148 (2009).
[CrossRef]

Tuennermann, A.

Tünnermann, A.

M. Heinrich, R. Keil, Y. Lahini, U. Naether, F. Dreisow, A. Tünnermann, S. Nolte, and A. Szameit, “Disorder-enhanced nonlinear delocalization in segmented waveguide arrays,” New J. Phys.12, 073026 (2012).
[CrossRef]

R. Keil, M. Heinrich, F. Dreisow, T. Pertsch, A. Tünnermann, S. Nolte, D. N. Christodoulides, and A. Szameit, “All-optical routing and switching for three-dimensional photonic circuitry,” Sci. Rep.1, 94 (2011).
[CrossRef]

F. Eilenberger, S. Minardi, A. Szameit, U. Röpke, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, L. Torner, F. Lederer, A. Tünnermann, and T. Pertsch, “Evolution dynamics of discrete-continuous light bullets,” Phys. Rev. A84, 013836 (2011).
[CrossRef]

M. Heinrich, A. Szameit, F. Dreisow, R. Keil, S. Minardi, T. Pertsch, S. Nolte, A. Tünnermann, and F. Lederer, “Erratum: Observation of three-dimensional discrete-continuous x waves in photonic lattices,” Phys. Rev. Lett.106, 029901 (2011).
[CrossRef]

A. Szameit, F. Dreisow, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, E. Suran, F. Louradour, A. Barthelemy, and S. Longhi, “Image reconstruction in segmented femtosecond laser-written waveguide arrays,” Appl. Phys. Lett.93, 181109 (2008).
[CrossRef]

Tutt, L. W.

L. W. Tutt and T. F. Boggess, “A review of optical limiting mechanisms and devices using organics, fullerenes, semiconductors and other materials,” Prog. Quantum Electron.17, 299 (1993).
[CrossRef]

Vlasov, Y.

Y. Vlasov, “Silicon integrated nanophotonics: Road from scientific explorations to practical applications,” in Proceedings of CLEO/QELS, San Jose, CA, USA (2012).

Vo, T.

T. Vo, J. Schröder, B. Corcoran, J. V. Erps, S. J. Madden, D.-Y. Choi, D. A. P. Bulla, B. Luther-Davies, M. D. Pelusi, and B. J. Eggleton, “Photonic-chip-based ultrafast waveform analysis and optical performance monitoring,” IEEE J. Sel. Top. Quantum Electron.18, 834–846 (2012).
[CrossRef]

Vysloukh, V. A.

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton Shape and Mobility Control in Optical Lattices,” Prog. Opt.52, 63–148 (2009).
[CrossRef]

Wada, T.

J. W. Perry, K. Mansour, I.-Y. S. Lee, X.-L. Wu, P. V. Bedworth, C.-T. Chen, D. Ng, S. R. Marder, P. Miles, T. Wada, M. Tian, and H. Sasabe, “Organic optical limiter with a strong nonlinear absorptive response,” Science273, 1533–1536 (1996).
[CrossRef]

Watanabe, W.

K. Itoh, W. Watanabe, S. Nolte, and C. Schaffer, “Ultrafast processes for bulk modification of transparent materials,” MRS Bull.31, 620–625 (2006).
[CrossRef]

Wu, X.-L.

J. W. Perry, K. Mansour, I.-Y. S. Lee, X.-L. Wu, P. V. Bedworth, C.-T. Chen, D. Ng, S. R. Marder, P. Miles, T. Wada, M. Tian, and H. Sasabe, “Organic optical limiter with a strong nonlinear absorptive response,” Science273, 1533–1536 (1996).
[CrossRef]

Yang, J.

Yoshihara, M.

Yvind, K.

H. Ji, M. Galili, H. Hu, M. Pu, L. K. Oxenløwe, K. Yvind, J. M. Hvam, and P. Jeppesen, “1.28-tb/s demultiplexing of an otdm dpsk data signal using a silicon waveguide,” IEEE Photon. Technol. Lett.22, 1762–1764 (2010).
[CrossRef]

Zhang, P.

Appl. Phys. Lett. (2)

R. C. C. Leite, S. P. S. Porto, and T. C. Damen, “The thermal lens effect as a powerlimiting device,” Appl. Phys. Lett.10, 100–101 (1967).
[CrossRef]

A. Szameit, F. Dreisow, M. Heinrich, T. Pertsch, S. Nolte, A. Tünnermann, E. Suran, F. Louradour, A. Barthelemy, and S. Longhi, “Image reconstruction in segmented femtosecond laser-written waveguide arrays,” Appl. Phys. Lett.93, 181109 (2008).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron. (1)

T. Vo, J. Schröder, B. Corcoran, J. V. Erps, S. J. Madden, D.-Y. Choi, D. A. P. Bulla, B. Luther-Davies, M. D. Pelusi, and B. J. Eggleton, “Photonic-chip-based ultrafast waveform analysis and optical performance monitoring,” IEEE J. Sel. Top. Quantum Electron.18, 834–846 (2012).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

H. Ji, M. Galili, H. Hu, M. Pu, L. K. Oxenløwe, K. Yvind, J. M. Hvam, and P. Jeppesen, “1.28-tb/s demultiplexing of an otdm dpsk data signal using a silicon waveguide,” IEEE Photon. Technol. Lett.22, 1762–1764 (2010).
[CrossRef]

J. Opt. Soc. Am. (1)

J. Phys. B (1)

A. Szameit and S. Nolte, “Discrete optics in femtosecond laser-written photonic structures,” J. Phys. B43, 163001 (2010).
[CrossRef]

MRS Bull. (1)

K. Itoh, W. Watanabe, S. Nolte, and C. Schaffer, “Ultrafast processes for bulk modification of transparent materials,” MRS Bull.31, 620–625 (2006).
[CrossRef]

Nature (1)

D. Christodoulides, F. Lederer, and Y. Silberberg, “Discretizing light behaviour in linear and nonlinear optical waveguide lattices,” Nature424, 817–823 (2003).
[CrossRef] [PubMed]

Nature Photon. (1)

B. J. Eggleton, B. Luther-Davies, and K. Richardson, “Chalcogenide photonics,” Nature Photon.5, 141–148 (2011).

New J. Phys. (1)

M. Heinrich, R. Keil, Y. Lahini, U. Naether, F. Dreisow, A. Tünnermann, S. Nolte, and A. Szameit, “Disorder-enhanced nonlinear delocalization in segmented waveguide arrays,” New J. Phys.12, 073026 (2012).
[CrossRef]

Opt. Express (3)

Opt. Lett. (7)

Phys. Rep. (1)

F. Lederer, G. Stegeman, D. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep.463, 1–126 (2008).
[CrossRef]

Phys. Rev. A (3)

P. Kinsler, “Unidirectional optical pulse propagation equation for materials with both electric and magnetic responses,” Phys. Rev. A81, 023808 (2010).
[CrossRef]

F. Eilenberger, S. Minardi, A. Szameit, U. Röpke, J. Kobelke, K. Schuster, H. Bartelt, S. Nolte, L. Torner, F. Lederer, A. Tünnermann, and T. Pertsch, “Evolution dynamics of discrete-continuous light bullets,” Phys. Rev. A84, 013836 (2011).
[CrossRef]

T. Schulte, S. Drenkelforth, G. Kleine Büning, W. Ertmer, J. Arlt, M. Lewenstein, and L. Santos, “Dynamics of Bloch oscillations in disordered lattice potentials,” Phys. Rev. A77, 023610 (2008).
[CrossRef]

Phys. Rev. E (1)

M. Kolesik and J. V. Moloney, “Nonlinear optical pulse propagation simulation: From maxwell’s to unidirectional equations,” Phys. Rev. E70, 036604 (2004).
[CrossRef]

Phys. Rev. Lett. (6)

M. Heinrich, A. Szameit, F. Dreisow, R. Keil, S. Minardi, T. Pertsch, S. Nolte, A. Tünnermann, and F. Lederer, “Erratum: Observation of three-dimensional discrete-continuous x waves in photonic lattices,” Phys. Rev. Lett.106, 029901 (2011).
[CrossRef]

R. Morandotti, U. Peschel, J. Aitchinson, H. Eisenberg, and Y. Silberberg, “Experimental observation of linear and nonlinear optical Bloch oscillations,” Phys. Rev. Lett.83, 4756–4759 (1999).
[CrossRef]

S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, “Observation of dynamic localization in periodically curved waveguide arrays,” Phys. Rev. Lett.96, 243901 (2006).
[CrossRef] [PubMed]

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

R. Iwanow, D. May-Arrioja, D. Christodoulides, G. Stegeman, Y. Min, and W. Sohler, “Discrete Talbot effect in waveguide arrays,” Phys. Rev. Lett.95, 053902 (2005).
[CrossRef] [PubMed]

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

Proc. SPIE (1)

T. Fukuda, S. Ishikawa, T. Fujii, K. Sakuma, and H. Hosoya, “Low-loss optical waveguides written by femtosecond laser pulses for three-dimensional photonic devices,” Proc. SPIE5339, 524–538 (2004).
[CrossRef]

Prog. Opt. (1)

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton Shape and Mobility Control in Optical Lattices,” Prog. Opt.52, 63–148 (2009).
[CrossRef]

Prog. Quantum Electron. (1)

L. W. Tutt and T. F. Boggess, “A review of optical limiting mechanisms and devices using organics, fullerenes, semiconductors and other materials,” Prog. Quantum Electron.17, 299 (1993).
[CrossRef]

Sci. Rep. (1)

R. Keil, M. Heinrich, F. Dreisow, T. Pertsch, A. Tünnermann, S. Nolte, D. N. Christodoulides, and A. Szameit, “All-optical routing and switching for three-dimensional photonic circuitry,” Sci. Rep.1, 94 (2011).
[CrossRef]

Science (1)

J. W. Perry, K. Mansour, I.-Y. S. Lee, X.-L. Wu, P. V. Bedworth, C.-T. Chen, D. Ng, S. R. Marder, P. Miles, T. Wada, M. Tian, and H. Sasabe, “Organic optical limiter with a strong nonlinear absorptive response,” Science273, 1533–1536 (1996).
[CrossRef]

Z. Phys. (1)

F. Bloch, “Über die Quantenmechanik der Elektronen in Kristallgittern,” Z. Phys.52, 555–600 (1929).
[CrossRef]

Other (2)

G. Agrawal, Nonlinear Fiber Optics, 3rd ed. (Academic Press, 2001).

Y. Vlasov, “Silicon integrated nanophotonics: Road from scientific explorations to practical applications,” in Proceedings of CLEO/QELS, San Jose, CA, USA (2012).

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 (7)

Fig. 1
Fig. 1

(a) Power-dependence of the transmission of a uniform lattice [first column], a negative defect guide with β0 = −4C embedded in a uniform lattice [second column], a lattice with a transverse potential gradient that yields exactly one Bloch oscillation period [third column] and a segmented photonic lattice [fourth column]. In all cases, the sample length L = 1.28 LC is identical. (b) Linear diffraction and exemplary nonlinear propagation patterns corresponding to the points marked in the respective T (P) graphs in (a).

Fig. 2
Fig. 2

Schematic of the device. At half the overall propagation length, every second waveguide is segmented such that light in these channels experiences a phase shift of π compared to the neighboring channels. The resulting staggered phase front gives rise to perfect linear imaging between input and output port. For higher powers, the Kerr nonlinearity causes nonlinear delocalization at the segmented region, thus decreasing the fraction of light reaching the output port.

Fig. 3
Fig. 3

(a) Calculated overall transmission T̃ of a Gaussian input pulse in dependence of the peak power P̂. (b) Corresponding temporal pulse shape at the output port. The plot has been normalized with respect to the maximum value of each row. As P̂ increases, the optical limiting causes the high-intensity part of the pulse to be diverted from the excited waveguide. Above P̂ ≈ 5 relocalization after the segmented region leads to a more complex pulse shape.

Fig. 4
Fig. 4

Spectral stabilization: Simulated spectral broadening of 300 fs Gaussian pulses in (a) an isolated waveguide and (b) in the device. For reasons of visibility, the plots have been normalized with respect to the maxima in each row.

Fig. 5
Fig. 5

Optical limiting: (a) Observed power-dependent output pattern of the segmented lattice for excitation with 280 fs pulses. Each column has been normalized with respect to its total power. (b) Transmission through the device as measured by external power meters, corrected for propagation losses. The measurement error is indicated as shaded region around the data points. The non-unity transmission (T̃ = 74%) for P̄ = 0 can be attributed to the selective loss in the segmented waveguides.

Fig. 6
Fig. 6

Spectral stabilization: Measured spectral broadening of 280 fs pulses propagating through (a) an isolated waveguide and (b) a segmented photonic lattice. For reasons of visibility, the plots have been normalized with respect to the maxima of each row. The dashed lines mark the outline of the spectral distribution in the isolated guide. We attribute the pronounced asymmetry of the spectra to the influence of higher-order chirp in the input pulse.

Fig. 7
Fig. 7

Top: Ballistic propagation over 6 LC. Bottom: Reduction of the maximum intensity for discrete diffraction in the linear regime. The experimental propagation length of L/2 = 0.64 LC is indicated by a dashed line; it results in a ≈ 70% reduction of the peak intensity.

Equations (8)

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

i z φ n = C ( φ n + 1 + φ n 1 ) + ( β n + γ | φ n | 2 ) φ n .
P = n | φ n ( z ) | 2
T = | φ 0 ( L ) | 2 / n | φ n ( L ) | 2 ,
φ n ( L / 2 ) e in π φ n ( L / 2 ) .
i sgn ( ω ) z Φ n ( z , ω ) = [ β ( ω ) ω β 1 ] Φ n ( z , ω ) + C [ Φ n 1 ( z , ω ) + Φ n + 1 ( z , ω ) ] + 4 3 γ ˜ 𝒫 n ( z , ω )
𝒫 n ( z , t ) = Φ ( z , t ) [ ( 1 f ) Φ n 2 ( z , t ) + f 0 Φ n 2 ( z , t t ) h ( t ) d t ] .
h ( t ) = τ 1 2 + τ 2 2 τ 1 τ 2 2 e t / τ 2 sin ( t / τ 1 ) for t 0
T ˜ = + | φ 0 ( L , t ) | 2 d t / n + | φ n ( L , t ) | 2 d t .

Metrics