Linear and nonlinear discrete light propagation in weakly modulated large-area two-dimensional photonic lattice slab in LiNbO3:Fe crystal
Optics Express, Vol. 17, Issue 25, pp. 23078-23084 (2009)
http://dx.doi.org/10.1364/OE.17.023078
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Abstract
A weakly modulated large-area two-dimensional square photonic lattice slab was fabricated through optical induction technique in a photorefractive photovoltaic LiNbO3:Fe crystal. Bragg-matched diffraction technique was used to characterize the square photonic lattice slab. Interestingly, linear discrete diffraction typical for waveguide arrays was observed in such a square photonic lattice slab, indicating that the lattice slab can be viewed effectively as a one-dimensional waveguide array. Furthermore, discrete soliton was demonstrated in the photonic lattice slab due to a saturable self-defocusing nonlinearity arising from the bulk photorefractive photovoltaic effect of LiNbO3:Fe.
© 2009 Optical Society of America
OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(190.5330) Nonlinear optics : Photorefractive optics
(190.6135) Nonlinear optics : Spatial solitons
ToC Category:
Photonic Crystals
History
Original Manuscript: September 22, 2009
Revised Manuscript: November 19, 2009
Manuscript Accepted: November 19, 2009
Published: December 2, 2009
Citation
Xinyuan Qi, Guoquan Zhang, Ningning Xu, Yiling Qi, Bin Han, Yulan Fu, Changsha Duan, and Jingjun Xu, "Linear and nonlinear discrete light propagation in weakly modulated large-area two-dimensional photonic lattice slab in LiNbO3:Fe crystal," Opt. Express 17, 23078-23084 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-25-23078
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References
- K. Gallo and G. Assanto, "All-optical diode based on second-harmonic generation in an asymmetric waveguide," J. Opt. Soc. Am. B 16, 267-269 (1999). [CrossRef]
- D. N. Christodoulides, F. Lederer, and Y. Silberberg, "Discretizing light behavior in linear and nonlinear waveguide lattices," Nature (London) 424, 817-823 (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, 093902 (2002). [CrossRef]
- H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Self-collimating phenomena in photonic crystals," Appl. Phys. Lett. 74, 1212-1214 (1999). [CrossRef]
- L. J. Wu, M. Mazilu, and T. F. Krauss, "Beam steering in planar-photonic crystals: from superprism to supercollimator," J. Lightwave Technol. 21, 561-566 (2003). [CrossRef]
- D. M. Pustai, S. Y. Shi, C. H. Chen, A. Sharkawy, and D. W. Prather, "Analysis of splitters for self-collimated beams in planar photonic crystals," Opt. Express 12, 1823-1831 (2004). [CrossRef] [PubMed]
- P. T. Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacic, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, "Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal," Nature (London) 5, 93-96 (2006). [CrossRef]
- D. N. Christodoulides and R. I. Joseph, "Discrete self-focusing in nonlinear arrays of coupled waveguides," Opt. Lett. 19, 794-796 (1988). [CrossRef]
- G. I. Stegeman and C. T. Seaton, "Nonlinear integrated optics," J. Appl. Phys. 58, R57-R78 (1985). [CrossRef]
- H. S. Eisenberg, Y. Silberberg, Y. Morandotti, R. Boyd, and J. S. Aitchison, "Discrete spatial optical solitons in waveguide arrays," Phys. Rev. Lett. 81, 3383-3386 (1998). [CrossRef]
- Y. S. Kivshar, "Self-localization in arrays of defocusing waveguides," Opt. Lett. 20, 1147-1149 (1993). [CrossRef]
- J. Feng, "Alternative scheme for studying gap solitons in infinite periodic Kerr media," Opt. Lett. 20, 1302-1304 (1993). [CrossRef]
- J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of discrete solitons in optically induced real time waveguide arrays," Phys. Rev. Lett. 90, 023902 (2003). [CrossRef] [PubMed]
- J.W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices," Nature (London) 422, 147-150 (2003). [CrossRef]
- F. Chen, M. Stepić, Christian E. Rüter, D. Runde, D. Kip, V. Shandarov, O. Manela, and M. Segev, "Discrete diffraction and spatial gap solitons in photovoltaic LiNbO3 waveguide arrays," Opt. Express 13, 4314-4324 (2005). [CrossRef] [PubMed]
- T. Song, S. Liu, R. Guo, Z. Liu, N. Zhu, and Y. Gao, "Observation of composite gap solitons in optically induced nonlinear lattices in LiNbO3:Fe crystal," Opt. Express 14, 1924-1932 (2006). [CrossRef] [PubMed]
- X. Qi, S. Liu, G. Zhang, R. Guo, Z. Liu, L. Zhou, and Y. Li, "Gap solitons in optically induced two-dimensional square photonic lattices in LiNbO3:Fe crystals," Appl. Phys. Lett. 91, 131111 (2007). [CrossRef]
- S. Darmanyan, A. Kobyakov, and F. Lederer, "Stability of strongly localized excitations in discrete media with cubic nonlinearity," J. Exp. Theor. Phys. 86, 682-686 (1998). [CrossRef]
- D. Neshev, E. Ostrovskaya, Y. Kivshar, and W. Krolikowski, "Spatial solitons in optically induced gratings," Opt. Lett. 28, 710-712 (2003). [CrossRef] [PubMed]
- O. Cohen, T. Schwartz, J.W. Fleischer, M. Segev, and D. N. Christodoulides, "Multiband vector lattice solitons," Phys. Rev. Lett. 91, 113901 (2003). [CrossRef] [PubMed]
- A. A. Sukhorukov and Y. S. Kivshar, "Multigap discrete vector solitons," Phys. Rev. Lett. 91, 113902 (2003). [CrossRef] [PubMed]
- Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Soliton trains in photonic lattices," Opt. Express 12, 2831-2837 (2004). [CrossRef] [PubMed]
- K. G. Makris, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and A. Hache, "Discrete surface solitons," Opt. Lett. 30, 2466-2468 (2005). [CrossRef] [PubMed]
- S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Hache, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, "Observation of discrete surface solitons," Phys. Rev. Lett. 96, 063901 (2006). [CrossRef] [PubMed]
- E. Smirnov, M. Stepic, C. E. Ruter, D. Kip, and V. Shandarov, "Observation of staggered surface solitary waves in one-dimensional waveguide arrays," Opt. Lett. 31, 2338-2340 (2006). [CrossRef] [PubMed]
- C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, "Observation of surface gap solitons in semi-infinite waveguide arrays," Phys. Rev. Lett. 97, 083901 (2006). [CrossRef] [PubMed]
- G. A. Swartzlander, Jr., and C. T. Law, "Optical vortex solitons observed in Kerr nonlinear media," Phys. Rev. Lett. 69, 2503-2506 (1992). [CrossRef] [PubMed]
- L. P. Pitaevskii, "Vortex lines in an imperfect Bose gas," J. Exp. Theor. Phys. 13, 451-454 (1961).
- M. R. Matthews, B. P. Anderson, P. C. Haljan, D. S. Hall, C. E. Wieman, and E. A. Cornell, "Vortices in a Bose-Einstein condensate," Phys. Rev. Lett. 83, 2498-2501 (1999). [CrossRef]
- S. Longhi, D. Janner, M. Marano, and P. Laporta, "Quantum-mechanical analogy of beam propagation in waveguides with a bent axis: Dynamic-mode stabilization and radiation-loss suppression," Phys. Rev. E 67, 036601 (2003). [CrossRef]
- A. Draude, H. Franke, and R. A. Lessard, "Two-dimensional refractive index patterns with crystalline symmetry," J. Phys. D: Appl. Phys. 38, 974-980 (2005). [CrossRef]
- H. Kogelnik, "Coupled wave theory for thick hologram gratings," Bell Syst. Tech. J. 48, 2909-2947 (1969).
- X. Qi, S. Liu, R. Guo, Y. Lu, Z. Liua, L. Zhou, and Y. Li, "Defect solitons in optically induced one-dimensional photonic lattices in LiNbO3:Fe crystal," Opt. Commun. 272, 387-390 (2007). [CrossRef]
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