Light controlling in transverse separation modulated photonic lattices

doi:10.1364/OE.20.019119

Light controlling in transverse separation modulated photonic lattices

Zheng Cao, Xinyuan Qi, Xuanqi Feng, Zhaoyu Ren, Guoquan Zhang, and Jintao Bai »View Author Affiliations

Optics Express, Vol. 20, Issue 17, pp. 19119-19124 (2012)
http://dx.doi.org/10.1364/OE.20.019119

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Abstract
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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.

OCIS Codes
(050.1950) Diffraction and gratings : Diffraction gratings
(050.5298) Diffraction and gratings : Photonic crystals
(070.7345) Fourier optics and signal processing : Wave propagation

ToC Category:
Photonic Crystals

History
Original Manuscript: April 27, 2012
Revised Manuscript: July 17, 2012
Manuscript Accepted: July 30, 2012
Published: August 6, 2012

Citation
Zheng Cao, Xinyuan Qi, Xuanqi Feng, Zhaoyu Ren, Guoquan Zhang, and Jintao Bai, "Light controlling in transverse separation modulated photonic lattices," Opt. Express 20, 19119-19124 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-17-19119

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References

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]
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]
J. K. Yang and Z. H. Musslimani, “Fundamental and vortex solitons in a two-dimensional optical lattice,” Opt. Lett. 28, 212094–212097 (2003). [CrossRef]
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]
M. J. Ablowitz and Z. H. Musslimani, “Discrete diffraction managed spatial solitons,” Phys. Rev. Lett. 87, 254102 (2003). [CrossRef]
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]
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]
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, “Reflectionless potentials and cavities in waveguide arrays and coupled-resonator structures,” Opt. Lett. 35, 989–991 (2010). [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]
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]
A. Yariv and P. Yeh, Photonics, Optical Electronics in Modern Communications, 6th ed. (Oxford U. Press, 2006).
C. M. Soukoulis and E. N. Economou, “Off-diagonal disorder in one-dimensional systems,” Phys. Rev. B. 24, 5698–5702 (1981). [CrossRef]
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]
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]

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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]

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Light controlling in transverse separation modulated photonic lattices