Abstract

We numerically study the propagation of Gaussian beams in four different types of transverse separation modulated photonic lattices. We find the modulation obeying hyperbolic secant or rectangular functions can act as optical potentials, and the light waves can be localized or recur in the regions between such two positive potentials, respectively. While the beams decay in the regions between such two negative potentials since these structures could not support localized modes. Our results provide new ways for light controlling and manipulation in photonic lattices.

© 2012 OSA

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  1. H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, “Diffraction management,” Phys. Rev. Lett. 85, 1863–1866 (2000).
    [CrossRef] [PubMed]
  2. T. Pertsch, T. Zentgraf, U. Peschel, A. Bräuer, and F. Lederer, “Anomalous refraction and diffraction in discrete optical systems,” Phys. Rev. Lett. 88, 093901 (2002).
    [CrossRef] [PubMed]
  3. J. Hudock, N.K. Efremidis, and D.N. Christodoulides, “Anisotropic diffraction elliptic discrete solitons in two-dimensional waveguide arrays,” Opt. Lett. 29268–270 (2004).
    [CrossRef] [PubMed]
  4. J. K. Yang and Z. H. Musslimani, “Fundamental and vortex solitons in a two-dimensional optical lattice,” Opt. Lett. 28, 212094–212097 (2003).
    [CrossRef]
  5. P. Zhang, N. K. Efremidis, A. Miller, P Ni, and Z. Chen, “Reconfigurable 3D photonic lattices by optical induction for optical control of beam propagation,” Appl. Phys. B. 104, 553–560 (2011).
    [CrossRef]
  6. M. J. Ablowitz and Z. H. Musslimani, “Discrete diffraction managed spatial solitons,” Phys. Rev. Lett. 87, 254102 (2003).
    [CrossRef]
  7. I. L. Garanovich, S. Longhi, A. A. Sukorukov, and Y. S. Kivshar, “Light propagation and localization in modulated photonic lattices and waveguides,” Phys. Rep., submitted (2012).
    [CrossRef]
  8. Y. L. Qi and G. Q. Zhang, “Linear discrete diffraction and transverse localization of light in two-dimensional backbone lattices,” Opt. Express. 18, 20170–20182 (2010).
    [CrossRef] [PubMed]
  9. X. Qi, I. L. Garanovich, Z. Xu, A. A. Sukhorukov, W. Krolikowski, A. Mitchell, G. Zhang, D. N. Neshev, and Y. S. Kivshar, “Observation of nonlinear surface waves in modulated waveguide arrays,” Opt. Lett. 34, 2751–2753 (2009).
    [CrossRef] [PubMed]
  10. A. A. Sukhorukov, “Reflectionless potentials and cavities in waveguide arrays and coupled-resonator structures,” Opt. Lett. 35, 989–991 (2010).
    [CrossRef] [PubMed]
  11. A. Szameit, F. Dreisow, M. Heinrich, S. Nolte, and A. A. Sukhorukov, “Realization of reflectionless potentials in photonic lattices,” Phys. Rev. Lett. 106, 193903 (2011).
    [CrossRef] [PubMed]
  12. A. A. Sukhorukov, D. N. Neshev, A. Dreischuh, R. Fischer, S. Ha, W. Krolikowski, J. Bolger, A. Mitchell, B. J. Eggleton, and Y. S. Kivshar, “Polychromatic nonlinear surface modes generated by super continuum light,” Opt. Express. 14, 11265–11270 (2006).
    [CrossRef] [PubMed]
  13. A. Yariv and P. Yeh, Photonics, Optical Electronics in Modern Communications, 6th ed. (Oxford U. Press, 2006).
  14. C. M. Soukoulis and E. N. Economou, “Off-diagonal disorder in one-dimensional systems,” Phys. Rev. B. 24, 5698–5702 (1981).
    [CrossRef]
  15. Y. Lahini, Y. Bromberg, Y. Shechtman, A. Szameit, D. N. Christodoulides, R. Morandotti, and Y. Silberberg, “Hanbury Brown and Twiss correlations of Anderson localized waves,” Phys. Rev. A. 84, 041806 (2011).
    [CrossRef]
  16. R. Keil, Y. Lahini, Y. Shechtman, M. Heinrich, R. Pugatch, F. Dreisow, A. Tünnermann, S. Nolte, and A. Szameit, “Perfect imaging through a disordered waveguide lattice,” Opt. Lett. 37, 809–811 (2012).
    [CrossRef] [PubMed]

2012 (1)

2011 (3)

P. Zhang, N. K. Efremidis, A. Miller, P Ni, and Z. Chen, “Reconfigurable 3D photonic lattices by optical induction for optical control of beam propagation,” Appl. Phys. B. 104, 553–560 (2011).
[CrossRef]

A. Szameit, F. Dreisow, M. Heinrich, S. Nolte, and A. A. Sukhorukov, “Realization of reflectionless potentials in photonic lattices,” Phys. Rev. Lett. 106, 193903 (2011).
[CrossRef] [PubMed]

Y. Lahini, Y. Bromberg, Y. Shechtman, A. Szameit, D. N. Christodoulides, R. Morandotti, and Y. Silberberg, “Hanbury Brown and Twiss correlations of Anderson localized waves,” Phys. Rev. A. 84, 041806 (2011).
[CrossRef]

2010 (2)

Y. L. Qi and G. Q. Zhang, “Linear discrete diffraction and transverse localization of light in two-dimensional backbone lattices,” Opt. Express. 18, 20170–20182 (2010).
[CrossRef] [PubMed]

A. A. Sukhorukov, “Reflectionless potentials and cavities in waveguide arrays and coupled-resonator structures,” Opt. Lett. 35, 989–991 (2010).
[CrossRef] [PubMed]

2009 (1)

2006 (1)

A. A. Sukhorukov, D. N. Neshev, A. Dreischuh, R. Fischer, S. Ha, W. Krolikowski, J. Bolger, A. Mitchell, B. J. Eggleton, and Y. S. Kivshar, “Polychromatic nonlinear surface modes generated by super continuum light,” Opt. Express. 14, 11265–11270 (2006).
[CrossRef] [PubMed]

2004 (1)

2003 (2)

J. K. Yang and Z. H. Musslimani, “Fundamental and vortex solitons in a two-dimensional optical lattice,” Opt. Lett. 28, 212094–212097 (2003).
[CrossRef]

M. J. Ablowitz and Z. H. Musslimani, “Discrete diffraction managed spatial solitons,” Phys. Rev. Lett. 87, 254102 (2003).
[CrossRef]

2002 (1)

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

1981 (1)

C. M. Soukoulis and E. N. Economou, “Off-diagonal disorder in one-dimensional systems,” Phys. Rev. B. 24, 5698–5702 (1981).
[CrossRef]

Ablowitz, M. J.

M. J. Ablowitz and Z. H. Musslimani, “Discrete diffraction managed spatial solitons,” Phys. Rev. Lett. 87, 254102 (2003).
[CrossRef]

Aitchison, J. S.

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

Bolger, J.

A. A. Sukhorukov, D. N. Neshev, A. Dreischuh, R. Fischer, S. Ha, W. Krolikowski, J. Bolger, A. Mitchell, B. J. Eggleton, and Y. S. Kivshar, “Polychromatic nonlinear surface modes generated by super continuum light,” Opt. Express. 14, 11265–11270 (2006).
[CrossRef] [PubMed]

Bräuer, A.

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

Bromberg, Y.

Y. Lahini, Y. Bromberg, Y. Shechtman, A. Szameit, D. N. Christodoulides, R. Morandotti, and Y. Silberberg, “Hanbury Brown and Twiss correlations of Anderson localized waves,” Phys. Rev. A. 84, 041806 (2011).
[CrossRef]

Chen, Z.

P. Zhang, N. K. Efremidis, A. Miller, P Ni, and Z. Chen, “Reconfigurable 3D photonic lattices by optical induction for optical control of beam propagation,” Appl. Phys. B. 104, 553–560 (2011).
[CrossRef]

Christodoulides, D. N.

Y. Lahini, Y. Bromberg, Y. Shechtman, A. Szameit, D. N. Christodoulides, R. Morandotti, and Y. Silberberg, “Hanbury Brown and Twiss correlations of Anderson localized waves,” Phys. Rev. A. 84, 041806 (2011).
[CrossRef]

Christodoulides, D.N.

Dreischuh, A.

A. A. Sukhorukov, D. N. Neshev, A. Dreischuh, R. Fischer, S. Ha, W. Krolikowski, J. Bolger, A. Mitchell, B. J. Eggleton, and Y. S. Kivshar, “Polychromatic nonlinear surface modes generated by super continuum light,” Opt. Express. 14, 11265–11270 (2006).
[CrossRef] [PubMed]

Dreisow, F.

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

A. Szameit, F. Dreisow, M. Heinrich, S. Nolte, and A. A. Sukhorukov, “Realization of reflectionless potentials in photonic lattices,” Phys. Rev. Lett. 106, 193903 (2011).
[CrossRef] [PubMed]

Economou, E. N.

C. M. Soukoulis and E. N. Economou, “Off-diagonal disorder in one-dimensional systems,” Phys. Rev. B. 24, 5698–5702 (1981).
[CrossRef]

Efremidis, N. K.

P. Zhang, N. K. Efremidis, A. Miller, P Ni, and Z. Chen, “Reconfigurable 3D photonic lattices by optical induction for optical control of beam propagation,” Appl. Phys. B. 104, 553–560 (2011).
[CrossRef]

Efremidis, N.K.

Eggleton, B. J.

A. A. Sukhorukov, D. N. Neshev, A. Dreischuh, R. Fischer, S. Ha, W. Krolikowski, J. Bolger, A. Mitchell, B. J. Eggleton, and Y. S. Kivshar, “Polychromatic nonlinear surface modes generated by super continuum light,” Opt. Express. 14, 11265–11270 (2006).
[CrossRef] [PubMed]

Eisenberg, H. S.

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

Fischer, R.

A. A. Sukhorukov, D. N. Neshev, A. Dreischuh, R. Fischer, S. Ha, W. Krolikowski, J. Bolger, A. Mitchell, B. J. Eggleton, and Y. S. Kivshar, “Polychromatic nonlinear surface modes generated by super continuum light,” Opt. Express. 14, 11265–11270 (2006).
[CrossRef] [PubMed]

Garanovich, I. L.

X. Qi, I. L. Garanovich, Z. Xu, A. A. Sukhorukov, W. Krolikowski, A. Mitchell, G. Zhang, D. N. Neshev, and Y. S. Kivshar, “Observation of nonlinear surface waves in modulated waveguide arrays,” Opt. Lett. 34, 2751–2753 (2009).
[CrossRef] [PubMed]

I. L. Garanovich, S. Longhi, A. A. Sukorukov, and Y. S. Kivshar, “Light propagation and localization in modulated photonic lattices and waveguides,” Phys. Rep., submitted (2012).
[CrossRef]

Ha, S.

A. A. Sukhorukov, D. N. Neshev, A. Dreischuh, R. Fischer, S. Ha, W. Krolikowski, J. Bolger, A. Mitchell, B. J. Eggleton, and Y. S. Kivshar, “Polychromatic nonlinear surface modes generated by super continuum light,” Opt. Express. 14, 11265–11270 (2006).
[CrossRef] [PubMed]

Heinrich, M.

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

A. Szameit, F. Dreisow, M. Heinrich, S. Nolte, and A. A. Sukhorukov, “Realization of reflectionless potentials in photonic lattices,” Phys. Rev. Lett. 106, 193903 (2011).
[CrossRef] [PubMed]

Hudock, J.

Keil, R.

Kivshar, Y. S.

X. Qi, I. L. Garanovich, Z. Xu, A. A. Sukhorukov, W. Krolikowski, A. Mitchell, G. Zhang, D. N. Neshev, and Y. S. Kivshar, “Observation of nonlinear surface waves in modulated waveguide arrays,” Opt. Lett. 34, 2751–2753 (2009).
[CrossRef] [PubMed]

A. A. Sukhorukov, D. N. Neshev, A. Dreischuh, R. Fischer, S. Ha, W. Krolikowski, J. Bolger, A. Mitchell, B. J. Eggleton, and Y. S. Kivshar, “Polychromatic nonlinear surface modes generated by super continuum light,” Opt. Express. 14, 11265–11270 (2006).
[CrossRef] [PubMed]

I. L. Garanovich, S. Longhi, A. A. Sukorukov, and Y. S. Kivshar, “Light propagation and localization in modulated photonic lattices and waveguides,” Phys. Rep., submitted (2012).
[CrossRef]

Krolikowski, W.

X. Qi, I. L. Garanovich, Z. Xu, A. A. Sukhorukov, W. Krolikowski, A. Mitchell, G. Zhang, D. N. Neshev, and Y. S. Kivshar, “Observation of nonlinear surface waves in modulated waveguide arrays,” Opt. Lett. 34, 2751–2753 (2009).
[CrossRef] [PubMed]

A. A. Sukhorukov, D. N. Neshev, A. Dreischuh, R. Fischer, S. Ha, W. Krolikowski, J. Bolger, A. Mitchell, B. J. Eggleton, and Y. S. Kivshar, “Polychromatic nonlinear surface modes generated by super continuum light,” Opt. Express. 14, 11265–11270 (2006).
[CrossRef] [PubMed]

Lahini, Y.

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

Y. Lahini, Y. Bromberg, Y. Shechtman, A. Szameit, D. N. Christodoulides, R. Morandotti, and Y. Silberberg, “Hanbury Brown and Twiss correlations of Anderson localized waves,” Phys. Rev. A. 84, 041806 (2011).
[CrossRef]

Lederer, F.

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

Longhi, S.

I. L. Garanovich, S. Longhi, A. A. Sukorukov, and Y. S. Kivshar, “Light propagation and localization in modulated photonic lattices and waveguides,” Phys. Rep., submitted (2012).
[CrossRef]

Miller, A.

P. Zhang, N. K. Efremidis, A. Miller, P Ni, and Z. Chen, “Reconfigurable 3D photonic lattices by optical induction for optical control of beam propagation,” Appl. Phys. B. 104, 553–560 (2011).
[CrossRef]

Mitchell, A.

X. Qi, I. L. Garanovich, Z. Xu, A. A. Sukhorukov, W. Krolikowski, A. Mitchell, G. Zhang, D. N. Neshev, and Y. S. Kivshar, “Observation of nonlinear surface waves in modulated waveguide arrays,” Opt. Lett. 34, 2751–2753 (2009).
[CrossRef] [PubMed]

A. A. Sukhorukov, D. N. Neshev, A. Dreischuh, R. Fischer, S. Ha, W. Krolikowski, J. Bolger, A. Mitchell, B. J. Eggleton, and Y. S. Kivshar, “Polychromatic nonlinear surface modes generated by super continuum light,” Opt. Express. 14, 11265–11270 (2006).
[CrossRef] [PubMed]

Morandotti, R.

Y. Lahini, Y. Bromberg, Y. Shechtman, A. Szameit, D. N. Christodoulides, R. Morandotti, and Y. Silberberg, “Hanbury Brown and Twiss correlations of Anderson localized waves,” Phys. Rev. A. 84, 041806 (2011).
[CrossRef]

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

Musslimani, Z. H.

M. J. Ablowitz and Z. H. Musslimani, “Discrete diffraction managed spatial solitons,” Phys. Rev. Lett. 87, 254102 (2003).
[CrossRef]

J. K. Yang and Z. H. Musslimani, “Fundamental and vortex solitons in a two-dimensional optical lattice,” Opt. Lett. 28, 212094–212097 (2003).
[CrossRef]

Neshev, D. N.

X. Qi, I. L. Garanovich, Z. Xu, A. A. Sukhorukov, W. Krolikowski, A. Mitchell, G. Zhang, D. N. Neshev, and Y. S. Kivshar, “Observation of nonlinear surface waves in modulated waveguide arrays,” Opt. Lett. 34, 2751–2753 (2009).
[CrossRef] [PubMed]

A. A. Sukhorukov, D. N. Neshev, A. Dreischuh, R. Fischer, S. Ha, W. Krolikowski, J. Bolger, A. Mitchell, B. J. Eggleton, and Y. S. Kivshar, “Polychromatic nonlinear surface modes generated by super continuum light,” Opt. Express. 14, 11265–11270 (2006).
[CrossRef] [PubMed]

Ni, P

P. Zhang, N. K. Efremidis, A. Miller, P Ni, and Z. Chen, “Reconfigurable 3D photonic lattices by optical induction for optical control of beam propagation,” Appl. Phys. B. 104, 553–560 (2011).
[CrossRef]

Nolte, S.

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

A. Szameit, F. Dreisow, M. Heinrich, S. Nolte, and A. A. Sukhorukov, “Realization of reflectionless potentials in photonic lattices,” Phys. Rev. Lett. 106, 193903 (2011).
[CrossRef] [PubMed]

Pertsch, T.

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

Peschel, U.

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

Pugatch, R.

Qi, X.

Qi, Y. L.

Y. L. Qi and G. Q. Zhang, “Linear discrete diffraction and transverse localization of light in two-dimensional backbone lattices,” Opt. Express. 18, 20170–20182 (2010).
[CrossRef] [PubMed]

Shechtman, Y.

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

Y. Lahini, Y. Bromberg, Y. Shechtman, A. Szameit, D. N. Christodoulides, R. Morandotti, and Y. Silberberg, “Hanbury Brown and Twiss correlations of Anderson localized waves,” Phys. Rev. A. 84, 041806 (2011).
[CrossRef]

Silberberg, Y.

Y. Lahini, Y. Bromberg, Y. Shechtman, A. Szameit, D. N. Christodoulides, R. Morandotti, and Y. Silberberg, “Hanbury Brown and Twiss correlations of Anderson localized waves,” Phys. Rev. A. 84, 041806 (2011).
[CrossRef]

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

Soukoulis, C. M.

C. M. Soukoulis and E. N. Economou, “Off-diagonal disorder in one-dimensional systems,” Phys. Rev. B. 24, 5698–5702 (1981).
[CrossRef]

Sukhorukov, A. A.

A. Szameit, F. Dreisow, M. Heinrich, S. Nolte, and A. A. Sukhorukov, “Realization of reflectionless potentials in photonic lattices,” Phys. Rev. Lett. 106, 193903 (2011).
[CrossRef] [PubMed]

A. A. Sukhorukov, “Reflectionless potentials and cavities in waveguide arrays and coupled-resonator structures,” Opt. Lett. 35, 989–991 (2010).
[CrossRef] [PubMed]

X. Qi, I. L. Garanovich, Z. Xu, A. A. Sukhorukov, W. Krolikowski, A. Mitchell, G. Zhang, D. N. Neshev, and Y. S. Kivshar, “Observation of nonlinear surface waves in modulated waveguide arrays,” Opt. Lett. 34, 2751–2753 (2009).
[CrossRef] [PubMed]

A. A. Sukhorukov, D. N. Neshev, A. Dreischuh, R. Fischer, S. Ha, W. Krolikowski, J. Bolger, A. Mitchell, B. J. Eggleton, and Y. S. Kivshar, “Polychromatic nonlinear surface modes generated by super continuum light,” Opt. Express. 14, 11265–11270 (2006).
[CrossRef] [PubMed]

Sukorukov, A. A.

I. L. Garanovich, S. Longhi, A. A. Sukorukov, and Y. S. Kivshar, “Light propagation and localization in modulated photonic lattices and waveguides,” Phys. Rep., submitted (2012).
[CrossRef]

Szameit, A.

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

Y. Lahini, Y. Bromberg, Y. Shechtman, A. Szameit, D. N. Christodoulides, R. Morandotti, and Y. Silberberg, “Hanbury Brown and Twiss correlations of Anderson localized waves,” Phys. Rev. A. 84, 041806 (2011).
[CrossRef]

A. Szameit, F. Dreisow, M. Heinrich, S. Nolte, and A. A. Sukhorukov, “Realization of reflectionless potentials in photonic lattices,” Phys. Rev. Lett. 106, 193903 (2011).
[CrossRef] [PubMed]

Tünnermann, A.

Xu, Z.

Yang, J. K.

J. K. Yang and Z. H. Musslimani, “Fundamental and vortex solitons in a two-dimensional optical lattice,” Opt. Lett. 28, 212094–212097 (2003).
[CrossRef]

Yariv, A.

A. Yariv and P. Yeh, Photonics, Optical Electronics in Modern Communications, 6th ed. (Oxford U. Press, 2006).

Yeh, P.

A. Yariv and P. Yeh, Photonics, Optical Electronics in Modern Communications, 6th ed. (Oxford U. Press, 2006).

Zentgraf, T.

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

Zhang, G.

Zhang, G. Q.

Y. L. Qi and G. Q. Zhang, “Linear discrete diffraction and transverse localization of light in two-dimensional backbone lattices,” Opt. Express. 18, 20170–20182 (2010).
[CrossRef] [PubMed]

Zhang, P.

P. Zhang, N. K. Efremidis, A. Miller, P Ni, and Z. Chen, “Reconfigurable 3D photonic lattices by optical induction for optical control of beam propagation,” Appl. Phys. B. 104, 553–560 (2011).
[CrossRef]

Appl. Phys. B. (1)

P. Zhang, N. K. Efremidis, A. Miller, P Ni, and Z. Chen, “Reconfigurable 3D photonic lattices by optical induction for optical control of beam propagation,” Appl. Phys. B. 104, 553–560 (2011).
[CrossRef]

Opt. Express. (2)

A. A. Sukhorukov, D. N. Neshev, A. Dreischuh, R. Fischer, S. Ha, W. Krolikowski, J. Bolger, A. Mitchell, B. J. Eggleton, and Y. S. Kivshar, “Polychromatic nonlinear surface modes generated by super continuum light,” Opt. Express. 14, 11265–11270 (2006).
[CrossRef] [PubMed]

Y. L. Qi and G. Q. Zhang, “Linear discrete diffraction and transverse localization of light in two-dimensional backbone lattices,” Opt. Express. 18, 20170–20182 (2010).
[CrossRef] [PubMed]

Opt. Lett. (5)

Phys. Rev. A. (1)

Y. Lahini, Y. Bromberg, Y. Shechtman, A. Szameit, D. N. Christodoulides, R. Morandotti, and Y. Silberberg, “Hanbury Brown and Twiss correlations of Anderson localized waves,” Phys. Rev. A. 84, 041806 (2011).
[CrossRef]

Phys. Rev. B. (1)

C. M. Soukoulis and E. N. Economou, “Off-diagonal disorder in one-dimensional systems,” Phys. Rev. B. 24, 5698–5702 (1981).
[CrossRef]

Phys. Rev. Lett. (4)

M. J. Ablowitz and Z. H. Musslimani, “Discrete diffraction managed spatial solitons,” Phys. Rev. Lett. 87, 254102 (2003).
[CrossRef]

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. Bräuer, and F. Lederer, “Anomalous refraction and diffraction in discrete optical systems,” Phys. Rev. Lett. 88, 093901 (2002).
[CrossRef] [PubMed]

A. Szameit, F. Dreisow, M. Heinrich, S. Nolte, and A. A. Sukhorukov, “Realization of reflectionless potentials in photonic lattices,” Phys. Rev. Lett. 106, 193903 (2011).
[CrossRef] [PubMed]

Other (2)

I. L. Garanovich, S. Longhi, A. A. Sukorukov, and Y. S. Kivshar, “Light propagation and localization in modulated photonic lattices and waveguides,” Phys. Rep., submitted (2012).
[CrossRef]

A. Yariv and P. Yeh, Photonics, Optical Electronics in Modern Communications, 6th ed. (Oxford U. Press, 2006).

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Figures (5)

Fig. 1
Fig. 1

The separation profiles of PLs with (a), 1D HWA, (b), double hyperbolic secant potential wells and (c), double rectangular potentials wells. The blue and red triangular lines in (b, c) indicate positive and negative potential wells, respectively. A = 5μm is the amplitude.

Fig. 2
Fig. 2

Two localized modes (a), (b) and their corresponding evolutions of Gaussian beams in PHSP wells (c) and PRP wells (d) in 1D PLs, respectively. (e), the reflectionless transmission through double NHSPs and (f), the light decaying in NRP wells.

Fig. 3
Fig. 3

The propagation dynamics of a Gaussian beam in 2D lattice with four PHSPs. (ad), the transverse intensity profiles at different z connected by the dash lines with (f), the longitudinal intensity profile. (e), the refractive index distribution of the lattice. The black arrow represents the input position. Δn, the potential depth. Site n, the waveguide numbers in the transverse directions.

Fig. 4
Fig. 4

The propagation dynamics of a Gaussian beam in 2D lattice with four PRPs. (ad), the transverse intensity profiles at different z connected by the dash lines with (f), the longitudinal intensity profile. (e), the refractive index distribution of the lattice. The black arrow represents the input position. Δn, the potential depth. Site n, the waveguide numbers in the transverse directions.

Fig. 5
Fig. 5

The propagation dynamics of a Gaussian beam in 2D lattice with four NHSPs. (ad), the transverse intensity profiles at different z connected by the dash lines with (f), the longitudinal intensity profile. (e), the refractive index distribution of the lattice. The black arrow represents the input position. Δn, the potential depth. Site n, the waveguide numbers in the transverse directions.

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