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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 10 — May. 14, 2007
  • pp: 6324–6329

Higher-band modulational instability in photonic lattices

Christian E. Rüter, Jürgen Wisniewski, Milutin Stepić, and Detlef Kip  »View Author Affiliations


Optics Express, Vol. 15, Issue 10, pp. 6324-6329 (2007)
http://dx.doi.org/10.1364/OE.15.006324


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Abstract

Propagation of extended Floquet-Bloch modes in the first three bands of a one-dimensional photonic lattice possessing a self-defocusing saturable nonlinearity is studied experimentally and numerically on the example of waveguide arrays in lithium niobate. Discrete modulation instability is observed in all bands in the region of anomalous diffraction, whereas modes propagate stable in the normal diffraction regime.

© 2007 Optical Society of America

OCIS Codes
(190.4420) Nonlinear optics : Nonlinear optics, transverse effects in
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(230.7370) Optical devices : Waveguides

ToC Category:
Nonlinear Optics

History
Original Manuscript: March 23, 2007
Revised Manuscript: May 2, 2007
Manuscript Accepted: May 2, 2007
Published: May 7, 2007

Citation
Christian E. Rüter, Jürgen Wisniewski, Milutin Stepic, and Detlef Kip, "Higher-band modulational instability in photonic lattices," Opt. Express 15, 6324-6329 (2007)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-10-6324


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References

  1. A. Hasegawa, "Theory and computer experiment on self-trapping instability of plasma cyclotron," Phys. Fluids 15, 870 (1972). [CrossRef]
  2. T. B. Benjamin and J. E. Feir, "Disintegration of wave trains on deep water," J. Fluid Mech. 27, 417 (1967). [CrossRef]
  3. P. Marquie, J. M. Bilbaut, and M. Remoissenet, "Generation of envelope and hole solitons in an experimental transmission line," Phys. Rev. E 49, 828 (1994). [CrossRef]
  4. K. E. Strecker, G. B. Partridge, A. G. Truscott, and R. G. Hulet, "Formation and propagation of matter-wave soliton trains," Nature 417, 150 (2002). [CrossRef] [PubMed]
  5. K. Tai, A. Hasegawa, and A. Tomita, "Observation of modulational instability in optical fibers," Phys. Rev. Lett. 56, 135 (1986). [CrossRef] [PubMed]
  6. M. I. Carvalho, S. R. Singh, and D. N. Christodoulides, "Modulational instability of quasi-plane-wave optical beams biased in photorefractive crystals," Opt. Commun. 126, 167 (1996). [CrossRef]
  7. D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, "Modulation instability and pattern formation in spatially incoherent light beams," Science 290, 495 (2000). [CrossRef] [PubMed]
  8. D. N. Christodoulides, F. Lederer, and Y. Silberberg, "Discretizing light behavior in linear and nonlinear waveguide lattices," Nature 424, 817 (2003). [CrossRef] [PubMed]
  9. Yu. S. Kivshar and M. Peyrard, "Modulation instabilities in discrete lattices," Phys. Rev. A 46, 3198 (1992). [CrossRef] [PubMed]
  10. D. N. Christodoulides and R. I. Joseph, "Discrete self-focusing in nonlinear arrays of coupled waveguides," Opt. Lett. 19, 794 (1988). [CrossRef]
  11. H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, "Discrete spatial optical solitons in waveguide arrays," Phys. Rev. Lett. 81, 3383 (1998). [CrossRef]
  12. F. Chen, M. Stepić, C. 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 (2005). [CrossRef] [PubMed]
  13. D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Band-gap structure of waveguide arrays and excitation of Floquet-Bloch solitons," Phys. Rev. Lett. 90, 053902 (2003). [CrossRef] [PubMed]
  14. J.  Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotti, H. Yang, G. Salamo, M. Sorel, J. S. Aitchison, "Observation of discrete modulational instability," Phys. Rev. Lett. 92, 163902 (2004). [CrossRef] [PubMed]
  15. M. Stepić, C. Wirth, C. E. Rüter, and D. Kip, "Observation of modulation instability in discrete media with self-defocusing nonlinearity," Opt. Lett. 31, 247 (2006). [CrossRef] [PubMed]
  16. C. E. Rüter, J. Wisniewski, and D. Kip, "Prism coupling method to excite and analyze Floquet-Bloch modes in linear and nonlinear waveguide arrays," Opt. Lett. 31, 2768 (2006). [CrossRef] [PubMed]
  17. J. Vollmer, J. P. Nisius, P. Hertel, and E. Krätzig, "Refractive index profiles of LiNbO3:Ti waveguides," Appl. Phys. A 32, 125 (1983). [CrossRef]
  18. M. Stepić, C. E. Rüter, D. Kip, A. Maluckov, and Lj. Hadžievski, "Modulational instability in one-dimen-sional saturable waveguide arrays: comparison with Kerr nonlinearity," Opt. Commun. 267, 229 (2006). [CrossRef]

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