Diffraction control in periodically curved two-dimensional waveguide arrays

Optics Express

Volumn 15, Issue 15, 2007, Pages 9737-9747

  Garanovich, Ivan L ^a   Szameit, Alexander ^b   Sukhorukov, Andrey A ^a   Pertsch, Thomas ^b   Krolikowski, Wieslaw ^a   Nolte, Stefan ^b   Neshev, Dragomir ^a   Tuennermann, Andreas ^b   Kivshar, Yuri S ^a  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

^b FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL GEOMETRY; CRYSTAL LATTICES; PHOTONIC CRYSTALS; WAVEGUIDES;

DIFFRACTION CONTROL; LIGHT BEAMS; PHOTONIC LATTICES; TWO DIMENSIONAL WAVEGUIDE ARRAYS;

ELECTROMAGNETIC WAVE DIFFRACTION;

EID: 34547403247     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.15.009737     Document Type: Article

References (33)

1. D. N. Christodoulides, F. Lederer, and Y. Silberberg, "Discretizing light behaviour in linear and nonlinear waveguide lattices," Nature 424, 817-823 (2003).
2. A. L. Jones, "Coupling of optical fibers and scattering in fibers," J. Opt. Soc. Am. 55, 261 (1965).
3. S. Somekh, E. Garmire, A. Yariv, H. L. Garvin, and R. G. Hunsperger, "Channel optical waveguide directional couplers," Appl. Phys. Lett. 22, 46-47 (1973).
4. T. Pertsch, P. Dannberg, W. Elfiein, A. Brauer, and F. Lederer, "Optical. Bloch oscillations in temperature tuned waveguide arrays," Phys. Rev. Lett. 83, 4752-4755 (1999).
5. R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and K. Silberberg, "Experimental observation of linear and nonlinear optical Bloch oscillations," Phys. Rev. Lett. 83, 4756-4759 (1999).
6. N. Chiodo, G. Della Valle, R. Osellame, S. Longhi, G. Cerullo, R. Ramponi, P. Laporta, and U. Morgner, "Imaging of Bloch oscillations in erbium-doped curved waveguide arrays," Opt. Lett. 31, 1651-1653 (2006).
7. H. Trompeter, T. Pertsch, F. Lederer, D. Michaelis, U. Streppel, A. Brauer, and U. Peschel, "Visual observation of Zener tunneling," Phys. Rev. Lett. 96, 023901-4 (2006).
8. H. Trompeter, W. Krolikowski, D. N. Neshev, A. S. Desyatnikov, A. A. Sukhorukov, Yu. S. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, "Bloch oscillations and Zener tunneling in two-dimensional photonic lattices," Phys. Rev. Lett. 96, 053903-4 (2006).
9. A. Fratalocchi, G. Assanto, K. A. Brzdakiewicz, and M. A. Karpierz, "Optically induced Zener tunneling in one-dimensional lattices," Opt. Lett. 31, 790-792 (2006).
10. S. Longhi, M. Marangoni, M. Lobino, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, "Observation of dynamic localization in periodically curved waveguide arrays," Phys. Rev. Lett. 96, 243901-4 (2006).
11. R. Iyer, J. S. Aitchison, J. Wan, M. M. Dignam, and C. M., de Sterke, "Exact dynamic localization in curved AlGaAs optical waveguide arrays," Opt. Express 15, 3212-3223 (2007), http://www. opticsinfobase.org/abstract.cfm?URI=oe-15-6-3212.
12. G. Lenz, I. Talanina, and C. M. de Sterke, "Bloch oscillations in an array of curved optical waveguides," Phys. Rev. Lett. 83, 963-966 (1999).
13. H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Diffraction management," Phys. Rev. Lett. 85, 1863-1866 (2000).
14. G. Lenz, R. Parker, M. C. Wanke, and C. M. de Sterke, "Dynamical localization and AC Bloch oscillations in periodic optical waveguide arrays," Opt. Commun. 218, 87-92 (2003).
15. S. Longhi, "Self-imaging and modulational instability in an array of periodically curved waveguides," Opt. Lett. 30, 2137-2139 (2005).
16. I. L. Garanovich, A. A. Sukhorukov, and Yu. S. Kivshar, "Broadband diffraction management and self-collimation of white light in photonic lattices," Phys. Rev. E 74, 066609-4 (2006).
17. J. Wan, M. Laforest, C. M. de Sterke, and M. M. Dignam, "Optical filters based on dynamic localization in curved coupled optical waveguides," Opt. Commun. 247, 353-365 (2005).
18. J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton University Press, Princeton, 1995).
19. H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tainainura, T. Sato, and S. Kawakami, "Self-collimating phenomena in photonic crystals," Appl. Phys. Lett. 74, 1212-1214 (1999).
20. D. N. Chigrin, S. Enoch, C. M. S. Torres, and G. Tayeb, "Self-guiding in two-dimensional photonic crystals," Opt. Express 11, 1203-1211 (2003), http://www.opticsinfobase.org/abstract.cfm?URI= oe-11-10-1203.
21. 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," Nat. Mater. 5, 93-96 (2006).
22. U. Ropke, H. Bartelt, S. Unger, K. Schuster, and J. Kobelke, "Two-dimensional high-precision fiber waveguide arrays for coherent light propagation," Opt. Express 15, 6894-6899 (2007), http://www.opticsinfobase.org/abstract.cfm?URI=oe-15-11-6894.
23. Y. G. Han and S. B. Lee, "Tunable dispersion compensator based on uniform fiber Bragg grating and its application to tunable pulse repetition-rate multiplication," Opt. Express 13, 9224-9229 (2005), http://www.opticsinfobase.org/abstract.cfm?URI=oe-13-23-9224.
24. S. Nolte, M. Will, J. Burghoff, and A. Tuennermann, "Femtosecond waveguide writing: a new avenue to three-dimensional integrated optics," Appl. Phys. A 77, 109-111 (2003).
25. 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, 468-470 (2004).
26. A. Szameit, D. Blomer, J. Burghoff, T. Schreiber, T. Pertsch, S. Nolte, A. Tunnermann, and F. Lederer, "Discrete nonlinear localization in femtosecond laser written waveguides in fused silica," Opt. Express 13, 10552-10557 (2005), http://www.opticsinfobase.org/abstract.cfm? URI=oe-13-26-10552.
27. A. Szameit, D. Blomer, J. Burghoff, T. Pertsch, S. Nolte, and A. Tunnermann, "Hexagonal waveguide arrays written with fs-laser pulses," Appl. Phys. B 82, 507-512 (2006).
28. P. G. Kevrekidis, B. A. Malomed, and Y. B. Gaididei, "Solitons in triangular and honeycomb dynamical lattices with the cubic nonlinearity," Phys. Rev. E 66, 016609-10 (2002).
29. A. Szameit, T. Pertsch, F. Dreisow, S. Nolte, A. Tunnermann, U. Peschel, and F. Lederer, "Light evolution in arbitrary two-dimensional waveguide arrays," Phys. Rev. A 75, 053814-14 (2007).
30. Y. V. Kartashov, L. Torner, and D. N. Christodoulides, "Soliton dragging by dynamic optical, lattices," Opt. Lett. 30, 1378-1380 (2005).
31. I. L. Garanovich, A. A. Sukhorukov, and Yu. S. Kivshar, "Soliton control in modulated optically-induced photonic lattices," Opt. Express 13, 5704-5710 (2005), http://www.opticsinfobase.org/abstract.cfm?URI= oe-13-15-5704.
32. C. R. Rosberg, I. L. Garanovich, A. A. Sukhorukov, D. N. Neshev, W. Krolikowski, and Yu. S. Kivshar, "Demonstration of all-optical beam steering in modulated photonic lattices," Opt. Lett. 31, 1498-1500 (2006).
33. C. Zener, Proc. R. Soc. London A 145, 523-529 (1934).