Crossover from self-defocusing to discrete trapping in nonlinear waveguide arrays

Optics Express

Volumn 14, Issue 1, 2006, Pages 254-259

  Matuszewski, Michal ^a,b   Rosberg, Christian R ^a   Neshev, Dragomir N ^a   Sukhorukov, Audrey A ^a   Mitchell, Arnan ^d   Trippenbach, Marek ^b,c   Austin, Michael W ^d   Krolikowski, Wieslaw ^a   Kivshar, Yuri S ^a  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

^b UNIVERSITY OF WARSAW   (Poland)

^c SOLTAN INSTITUTE FOR NUCLEAR STUDIES   (Poland)

^d RMIT UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

ARRAYS; DISCRETE TIME CONTROL SYSTEMS; FOCUSING; NONLINEAR OPTICS; REFRACTIVE INDEX; TIME VARYING SYSTEMS;

DISCRETE TRAPPING; GAUSSIAN BEAM; PHOTONIC LATTICES; WAVEGUIDE ARRAYS;

OPTICAL WAVEGUIDES;

EID: 30344445349     PISSN: 10944087     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OPEX.14.000254     Document Type: Article

References (18)

1. D. N. Christodoulides, F. Lederer, and Y. Silberberg, "Discretizing light behaviour in linear and nonlinear waveguide lattices," Nature 424, 817-823 (2003).
2. H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Diffraction management," Phys. Rev. Lett. 85, 1863-1866 (2000).
3. R. Morandotti, H. S. Eisenberg, Y. Silberberg, M. Sorel, and J. S. Aitchison, "Self-focusing and defocusing in waveguide arrays," Phys. Rev. Lett. 86, 3296-3299 (2001).
4. 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, 3383-3386 (1998).
5. 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, 113902-4 (2004).
6. 3 waveguide arrays," Opt. Express 13, 4314-4324 (2005), http://www.opticsexpress.org/abstracl.cfm?URI=OPEX-13-11-4314.
7. A. Fratalocchi, G. Assanto, K. A. Brzdakiewicz, and M. A. Karpierz, "Discrete propagation and spatial solitons in nematic liquid crystals," Opt. Lett. 29, 1530-1532 (2004).
8. J. W. Fleischer, T. Cannon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of discrete solitons in optically induced real time waveguide arrays," Phys. Rev. Lett. 90, 023902-4 (2003).
9. 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 422, 147-150 (2003).
10. D. Neshev, E. Ostrovskaya, Y. Kivshar, and W. Krolikowski, "Spatial solitons in optically induced gratings," Opt. Lett. 28, 710-712 (2003).
11. H. Martin, E. D. Eugenieva, Z. G. Chen, and D. N. Christodoulides, "Discrete solitons and soliton-induced dislocations in partially coherent photonic lattices," Phys. Rev. Lett. 92, 123902-4 (2004).
12. N. W. Ashcroft and N. D. Mermin, Solid State Physics (Holt, Rinehart And Winston, New York, 1976).
13. D. N. Christodoulides and R. I. Joseph, "Discrete self-focusing in nonlinear arrays of coupled wave- guides," Opt. Lett. 13, 794-796 (1988).
14. Yu. S. Kivshar, "Self-localization in arrays of defocusing wave-guides," Opt. Lett. 18, 1147-1149 (1993).
15. G. L. Alfimov, P. G. Kevrekidis, V. V. Konotop, and M. Salerno, "Wannier functions analysis of the nonlinear Schrodinger equation with a periodic potential," Phys. Rev. E 66, 46608-6 (2002).
16. Yu. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic Press, San Diego, 2003).
17. G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, and M. C. Bashaw, "Dark and bright photovoltaic spatial solitons," Phys. Rev. A 50, R4457-R4460 (1994).
18. A. A. Sukhorukov, D. Neshev, W. Krolikowski, and Yu. S. Kivshar, "Nonlinear Bloch-wave interaction and Bragg scattering in optically induced lattices," Phys. Rev. Lett. 92, 093901-4 (2004).