Exact dynamic localization in curved AlGaAs optical waveguide arrays

Optics Express

Volumn 15, Issue 6, 2007, Pages 3212-3223

  Iyer, Rajiv ^a   Aitchison, J Stewart ^a   Wan, Jun ^b   Dignam, Marc M ^b   De Sterke, C Martijn ^c  

^a UNIVERSITY OF TORONTO   (Canada)

^b QUEEN S UNIVERSITY   (Canada)

^c UNIVERSITY OF SYDNEY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

BINDING ENERGY; OPTICAL SYSTEMS; PERIODIC STRUCTURES; PHOTONIC BAND GAP; SEMICONDUCTING ALUMINUM COMPOUNDS;

DYNAMIC LOCALIZATION; OPTICAL WAVEGUIDE ARRAYS;

WAVEGUIDES;

EID: 33947391668     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.15.003212     Document Type: Article

References (29)

1. D. H. Dunlap and V. M. Kenkre, "Dynamic localization of a charged-particle moving under the influence of an electric-field," Phys. Rev. B 34, 3625-3633 (1986).
2. M. Holthaus, "Collapse of minibands in far-infrared irradiated superlattices," Phys. Rev. Lett. 69, 351-354 (1992).
3. X. G. Zhao, "Motion of Bloch electrons in time-dependent electric-fields with off-diagonal effects," Phys. Lett. A 167, 291-294 (1992).
4. A. W. Ghosh, A. V. Kuznetsov, and J. W. Wilkins, "Reflection of THz radiation by a superlattice," Phys. Rev. Lett. 79, 3494-3497 (1997).
5. W. X. Yan, S. Q. Bao, X. G. Zhao, and J. Q. Liang, "Dynamic localization versus photon-assisted transport in semiconductor superlattices driven by dc-ac fields," Phys. Rev. B 61, 7269-7272 (2000).
6. M. M. Dignam and C. M. de Sterke, "Conditions for Dynamic localization in generalized ac electric fields," Phys. Rev. Lett. 88, 046806-1-046806-4 (2002).
7. A. Z. Zhang, L. J. Yang, and M. M. Dignam, "Influence of excitonic effects on dynamic localization in semiconductor superlattices in combined dc and ac electric fields," Phys. Rev. B 67, 205318-1-205318-7 (2003).
8. F. Bloch, "Uber die Quantenmechanik der Elektronen in Kristallgittern," Z. Phys. A: Hadrons Nucl. 52, 555-600 (1928).
9. C. Zener, "A theory of the electrical breakdown of solid dielectrics," Proc. R. Soc. London, Ser. A, Containing Papers of a Mathematical and Physical Character 145, 523-529 (1934).
10. H. M. James, "Electronic states in perturbed periodic systems," Phys. Rev. 76, 1611-1624 (1949).
11. J. Feldmann, K. Leo, J. Shah, D. A. B. Miller, J. E. Cunningham, T. Meier, G. von Hessen, A. Schulze, P. Thomas, and S. Schmitt-Rink, "Optical investigation of Bloch oscillations in a semiconductor superlattice," Phys. Rev. B 46, 7252-7255 (1992).
12. R.-B. Liu and B.-F. Zhu, "Degenerate four-wave-mixing signals from a dc and ac-driven semiconductor superlattice," Phys. Rev. B 59, 5759-5769 (1999).
13. C. Waschke, H. G. Roskos, R. Schwedler, K. Leo, H. Kurz, and K. Kohler, "Coherent submillimeter-wave emission from Bloch oscillations in a semiconductor superlattice," Phys. Rev. Lett. 70, 3319-3322 (1993).
14. K. W. Madison, M. C. Fischer, R. B. Diener, Q. Niu, and M. O. Raizen, "Dynamical Bloch band suppression in an optical lattice," Phys. Rev. Lett. 81, 5093-5096 (1998).
15. G. Lenz, R. Parker, M. C. Wanke, and C. M. de Sterke, "Dynamic localization and ac Bloch oscillations in periodic optical waveguide arrays," Opt. Commun. 218, 87-92 (2003).
16. 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).
17. 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, 243901-1-243901-4 (2006).
18. T. Pertsch, P. Dannberg, W. Elflein, A. Brauer, and F. Lederer, "Optical Bloch oscillations in temperature tuned waveguide arrays," Phys. Rev. Lett. 83, 4752-4755 ( 1999).
19. 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).
20. 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).
21. M. Heiblum and J. H. Harris, "Analysis of curved optical-waveguides by conformal transformation," IEEE J. Quantum Electron. 11, 75-83 (1975).
22. K. S. Chiang, "Dual effective-index method for the analysis of rectangular dielectric wave-guides," Appl. Opt. 25, 2169-2174 (1986).
23. D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Band-gap structure of wave-guide arrays and excitation of Floquet-Bloch solitons," Phys. Rev. Lett. 90, 053902-1-053902-4 (2003).
24. J. W. Fleischer, G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, "Spatial photonics in nonlinear waveguide arrays," Opt. Express 13, 1780-1796 (2005).
25. K. Drese and M. Holthaus, "Anderson localization in an ac-driven two-band model," J. Phys.: Condens. Matter 8, 1193-1206 (1996).
26. S. Longhi, M. Lobino, M. Marangoni, R. Ramponi, P. Laporta, E. Cianci, and V. Foglietti, "Semiclassical motion of a multiband Bloch particle in a time-dependent field: Optical visualization," Phys. Rev. B 74, 155116-1-11 (2006).
27. 1-xAs below the band gap: Accurate determination and empirical modeling," J. Appl. Phys. 87, 7825-7837 (2000).
28. P. Domachuk, C. M. de Sterke, J. Wan, and M. M. Dignam, "Dynamic localization in continuous ac electric fields," Phys. Rev. B 66, 165313-1-165313-10 (2002).
29. N. Chiodo, G. Della Valle, R. Osellame, S. Longhi, G. Cerullo, R. Ramponi, and U. Laporta, P. Morgner, "Imaging of Bloch oscillations in erbium-doped curved waveguide arrays," Opt. Lett. 31, 1651-1653 (2006).