Jump to ContentJump to Main Navigation
Show Summary Details

Opto-Electronics Review

Editor-in-Chief: Jaroszewicz, Leszek


IMPACT FACTOR 2015: 1.611
Rank 98 out of 255 in category Electrical & Electronic Engineering and 43 out of 90 in Optics in the 2015 Thomson Reuters Journal Citation Report/Science Edition

SCImago Journal Rank (SJR) 2015: 0.624
Source Normalized Impact per Paper (SNIP) 2015: 1.387
Impact per Publication (IPP) 2015: 1.564

99,00 € / $149.00 / £75.00*

Online
ISSN
1896-3757
See all formats and pricing



Select Volume and Issue
Loading journal volume and issue information...

Light induced angular steering via Floquet-Bloch band-tunnelling in one-dimensional liquid crystalline photonic lattices

1University Roma Tre

2Warsaw University of Technology

© 2007 Versita Warsaw. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. (CC BY-NC-ND 3.0)

Citation Information: Opto-Electronics Review. Volume 15, Issue 4, Pages 210–214, ISSN (Online) 1896-3757, DOI: 10.2478/s11772-007-0022-8, December 2007

Publication History

Published Online:
2007-12-01

Abstract

We investigate all-optical Zener tunnelling in electro-optically tunable arrays of identical channel waveguides in undoped nematic liquid crystals. By all-optically inducing a refractive acceleration, we demonstrate a novel technique for band-to-band tunnelling, as well as a novel approach to light controlled steering and readdressing.

Keywords: liquid crystals; photonic lattices; discrete propagation; Zener tunnelling

  • [1] F. Lederer, S. Darmanyan, and A. Kobyakov, “Discrete solitons”, in Spatial Solitons, edited by S. Trillo and W. Torruellas, Wiley, New York, 2002.

  • [2] A.A. Sukhorukov, Y.S. Kivshar, H.S. Eisenberg, and Y. Silberberg, “Spatial optical solitons in waveguide arrays”, IEEE J. Quantum Electron. 39, 31 (2003). http://dx.doi.org/10.1109/JQE.2002.806184 [CrossRef]

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

  • [4] T. Pertsch, U. Peschel, and F. Lederer, “All-optical switching in quadratically nonlinear waveguide arrays”, Opt. Lett. 28, 102 (2003). http://dx.doi.org/10.1364/OL.28.000102 [CrossRef]

  • [5] O. Bang and P. Miller, “Exploiting discreteness for switching in waveguide arrays”, Opt. Lett. 21, 1105 (1996). http://dx.doi.org/10.1364/OL.21.001105 [CrossRef]

  • [6] N.K. Efremidis, S. Sears, D.N. Christodoulides, J.W. Fleischer, and M. Segev, “Discrete solitons in photorefractive optically induced photonic lattices”, Phys. Rev. E66, 046602 (2002).

  • [7] H.S. Eisenberg, Y. Silberberg, R. Morandotti, and J.S. Aitchison, “Diffraction management”, Phys. Rev. Lett. 85, 1863 (2000). http://dx.doi.org/10.1103/PhysRevLett.85.1863 [CrossRef]

  • [8] T. Pertsch, U. Peschel, F. Lederer, J. Burghoff, M. Will, S. Nolte, and A. Tunnermann, “Discrete diffraction in two-dimensional arrays of coupled waveguides in silica”, Opt. Lett. 29, 468 (2004). http://dx.doi.org/10.1364/OL.29.000468 [CrossRef]

  • [9] R. Iwanow, R. Schiek, G.I. Stegeman, T. Pertsch, F. Lederer, Y. Min, and W. Sohler, “Observation of discrete quadratic solitons”, Phys. Rev. Lett. 93, 113902 (2004). [CrossRef] [PubMed]

  • [10] J.W. Fleisher, M. Segev, N.K. Efremidis, and D.N. Christodoulides, “Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices”, Nature 422, 147 (2003). http://dx.doi.org/10.1038/nature01452 [CrossRef]

  • [11] A.A. Sukhorukov and Y.S. Kivshar, “Generation and stability of discrete gap solitons”, Opt. Lett. 28, 2345 (2003). http://dx.doi.org/10.1364/OL.28.002345 [CrossRef]

  • [12] D. Mandelik, H.S. Eisenberg, Y. Silberberg, R. Morandotti, and J.S. Aitchison, “Band structure of waveguide arrays and excitation of Floquet-Bloch solitons”, Phys. Rev. Lett. 90, 253902 (2003). [CrossRef]

  • [13] O. Cohen, T. Schwartz, J.W. Fleischer, M. Segev, and D.N. Christodoulides, “Multiband vector lattice solitons”, Phys. Rev. Lett. 91, 113901 (2003). [PubMed] [CrossRef]

  • [14] U. Peschel, T. Pertsch, and F. Lederer, “Optical Bloch oscillations in waveguide arrays”, Opt. Lett. 23, 1701 (1998). [CrossRef] [PubMed]

  • [15] R. Morandotti, U. Peschel, J.S. Aitchison, H.S. Eisenberg, and Y. Silberberg, “Experimental observation of linear and nonlinear optical Bloch oscillations”, Phys. Rev. Lett. 83, 4756 (1999). http://dx.doi.org/10.1103/PhysRevLett.83.4756 [CrossRef]

  • [16] T. Pertsch, P. Dannberg, W. Elflein, A. Bräuer, and F. Lederer, “Optical Bloch oscillations in temperature tuned waveguide arrays”, Phys. Rev. Lett. 83, 4752 (1999). http://dx.doi.org/10.1103/PhysRevLett.83.4752 [CrossRef]

  • [17] G. Lenz, R. Parker, M.C. Wanke, and C.M. de Sterke, “Dynamical localization and AC Bloch oscillations in periodic optical waveguide arrays”, Opt. Comm. 218, 87 (2003). http://dx.doi.org/10.1016/S0030-4018(03)01172-6 [CrossRef]

  • [18] R. Khomeriki and S. Ruffo, “Nonadiabatic Landau-Zener tunnelling in waveguide arrays with a step in the refractive index”, Phys. Rev. Lett. 94, 113904 (2005). [CrossRef]

  • [19] B. Wu and Q. Niu, “Nonlinear Landau-Zener tunnelling”, Phys. Rev. A61, 023402 (2000).

  • [20] V.V. Konotop, P.G. Kevrekidis, and M. Salerno, “Landau-Zener tunnelling of Bose-Einstein condensates in an optical lattice”, Phys. Rev. A72, 023611 (2005).

  • [21] H. Trompeter, W. Krolikowski, D.N. Neshev, A.S. Desyatnikov, A.A. Sukhorukov, Y.S. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, “Optical Bloch oscillations and Zener tunnelling in two-dimensional photonic lattices”, Top. Meet. on Nonlinear Guided Waves and their Applications, ThD1, Opt. Soc. Am., Dresden, Germany, 2005.

  • [22] K. Sakoda, Optical Properties of Photonic Crystals, Springer-Verlag, Berlin 2001.

  • [23] I.C. Khoo, Liquid Crystals: Physical Properties and Nonlinear Phenomena, Wiley, New York, 1995.

  • [24] F. Simoni, Nonlinear Optical Properties of Liquid Crystals, World Scientific Publ., London, 1997.

  • [25] M. Peccianti, C. Conti, G. Assanto, A. De Luca, and C. Umeton, “Routing of highly anisotropic spatial solitons and modulational instability in liquid crystals”, Nature 432, 733 (2004). http://dx.doi.org/10.1038/nature03101 [CrossRef]

  • [26] A. Fratalocchi, G. Assanto, K.A. Brzdąkiewicz, and M.A. Karpierz, “Discrete propagation and spatial solitons in nematic liquid crystals”, Opt. Lett. 29, 1530 (2004). http://dx.doi.org/10.1364/OL.29.001530 [CrossRef]

  • [27] A. Fratalocchi, G. Assanto, K.A. Brzdąkiewicz, and M.A. Karpierz, “Discrete light propagation and self-trapping in liquid crystals”, Opt. Expr. 13, 1808 (2005). http://dx.doi.org/10.1364/OPEX.13.001808 [CrossRef]

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

  • [29] A. Fratalocchi, G. Assanto, K.A. Brzdąkiewicz, and M.A. Karpierz, “Optical multiband vector breathers in tuneable waveguide arrays”, Opt. Lett. 30, 174 (2005). http://dx.doi.org/10.1364/OL.30.000174 [CrossRef]

  • [30] K.A. Brzdąkiewicz, M.A. Karpierz, A. Fratalocchi, and G. Assanto, “Bloch oscillations in nematic liquid crystals waveguide arrays”, Proc. SPIE 5949, 178 (2005).

  • [31] A. Fratalocchi and G. Assanto, “All-optical Landau-Zener tunnelling in waveguide arrays”, Opt. Express 14, 2021 (2006). http://dx.doi.org/10.1364/OE.14.002021 [CrossRef]

  • [32] A. Fratalocchi and G. Assanto, “Discrete light localization in one dimensional nonlinear lattices with arbitrary nonlocality”, Phys. Rev. E72, 066608 (2005).

  • [33] Y.S. Kivshar and G.P. Agrawal, Optical Solitons: from Fibers to Photonic Crystals, Academic Press, San Diego, 2003.

  • [34] C. Zener, “Non-adiabatic crossing of energy levels”, Proc. R. Soc. London A137, 696 (1932).

  • [35] A. Fratalocchi, G. Assanto, K.A. Brzdąkiewicz, and M.A. Karpierz, “Optically induced Zener tunnelling in one-dimensional lattices”, Opt. Lett. 31, 790 (2006). http://dx.doi.org/10.1364/OL.31.000790 [CrossRef]

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

[1]
Ming Jie Zheng, Yun San Chan, and Kin Wah Yu
Journal of the Optical Society of America B, 2011, Volume 28, Number 5, Page 1339

Comments (0)

Please log in or register to comment.