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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry van Driel
  • Vol. 28, Iss. 5 — May. 1, 2011
  • pp: 1339–1343

Photonic Bloch–dipole–Zener oscillations in binary parabolic optical waveguide arrays

Ming Jie Zheng, Yun San Chan, and Kin Wah Yu  »View Author Affiliations


JOSA B, Vol. 28, Issue 5, pp. 1339-1343 (2011)
http://dx.doi.org/10.1364/JOSAB.28.001339


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Abstract

We have studied the propagation and Zener tunneling of light in a binary parabolic optical waveguide array (BPOWA), which consists of two evanescently coupled dissimilar optical waveguides. Because of Bragg reflections, the BPOWA attains two minibands separated by a minigap at the zone boundary. Various coherent superpositions of optical oscillations and Zener tunneling occur for different parameters on the phase diagram. In particular, Bloch–Zener oscillation and a different type of Bloch–dipole–Zener oscillation are obtained by field-evolution analysis. The results may have potential applications in optical splitting and waveguiding devices and may shed light on the coherent phenomena in optical lattices.

© 2011 Optical Society of America

OCIS Codes
(230.1360) Optical devices : Beam splitters
(230.7370) Optical devices : Waveguides
(350.5500) Other areas of optics : Propagation
(130.4815) Integrated optics : Optical switching devices

ToC Category:
Optical Devices

History
Original Manuscript: January 4, 2011
Manuscript Accepted: February 18, 2011
Published: April 29, 2011

Citation
Ming Jie Zheng, Yun San Chan, and Kin Wah Yu, "Photonic Bloch–dipole–Zener oscillations in binary parabolic optical waveguide arrays," J. Opt. Soc. Am. B 28, 1339-1343 (2011)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-28-5-1339


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References

  1. F. Bloch, “Quantum mechanics of electrons in crystals,” Z. Phys. 52, 555–600 (1928). [CrossRef]
  2. C. Menotti, A. Smerzi, and A. Trombettoni, “Superfluid dynamics of a Bose-Einstein condensate in a periodic potential,” New J. Phys. 5, 112 (2003). [CrossRef]
  3. C. Zener, “A theory of electrical breakdown of solid dielectrics,” Proc. R. Soc. London Series A 145, 523–529 (1934). [CrossRef]
  4. N. K. Efremidis and D. N. Christodoulides, “Bloch oscillations in optical dissipative lattices,” Opt. Lett. 29, 2485–2487 (2004). [CrossRef] [PubMed]
  5. S. Longhi, “Bloch oscillations in tight-binding lattices with defects,” Phys. Rev. B 81, 195118 (2010). [CrossRef]
  6. H. Trompeter, W. Krolikowski, D. N. Neshev, A. S. Desyatnikov, A. A. Sukhorukov, Y. S. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, “Bloch oscillations and Zener tunneling in two-dimensional photonic lattices,” Phys. Rev. Lett. 96, 053903(2006). [CrossRef] [PubMed]
  7. A. V. Ponomarev and A. R. Kolovsky, “Dipole and Bloch oscillations of cold atoms in a parabolic lattice,” Laser Phys. 16, 367–370 (2006). [CrossRef]
  8. T. Dekorsy, P. Leisching, K. Khler, and H. Kurz, “Electro-optic detection of Bloch oscillations,” Phys. Rev. B 50, 8106–8109(1994). [CrossRef]
  9. R. Sapienza, P. Costantino, D. Wiersma, M. Ghulinyan, C. J. Oton, and L. Pavesi, “Optical analogue of electronic Bloch oscillations,” Phys. Rev. Lett. 91, 263902 (2003). [CrossRef]
  10. U. Peschel, T. Pertsch, and F. Lederer, “Optical Bloch oscillations in waveguide arrays,” Opt. Lett. 23, 1701–1703(1998). [CrossRef]
  11. 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). [CrossRef]
  12. R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, “Experimental observation of linear and nonlinear optical Bloch oscillations,” Phys. Rev. Lett. 83, 4756–4759(1999). [CrossRef]
  13. W. Lin and G. P. Wang, “Metal heterowaveguide superlattices for a plasmonic analog to electronic Bloch oscillations,” Appl. Phys. Lett. 91, 143121 (2007). [CrossRef]
  14. W. Lin, X. Zhou, G. P. Wang, and C. T. Chan, “Spatial Bloch oscillations of plasmons in nanoscale metal waveguide arrays,” Appl. Phys. Lett. 91, 243113 (2007). [CrossRef]
  15. A. R. Davoyan, I. V. Shadrivov, A. A. Sukhorukov, and Y. S. Kivshar, “Plasmonic Bloch oscillations in chirped metal-dielectric structures,” Appl. Phys. Lett. 94, 161105 (2009). [CrossRef]
  16. H. Sanchis-Alepuz, Y. A. Kosevich, and J. Sanchez-Dehesa, “Acoustic analogue of electronic Bloch oscillations and resonant Zener tunneling in ultrasonic superlattices,” Phys. Rev. Lett. 98, 134301 (2007). [CrossRef] [PubMed]
  17. B. M. Breid, D. Witthaut, and H. J. Korsch, “Manipulation of matter waves using Bloch and Bloch-Zener oscillations,” New J. Phys. 9, 62 (2007). [CrossRef]
  18. B. M. Breid, D. Witthaut, and H. J. Korsch, “Bloch-Zener oscillations,” New J. Phys. 8, 110 (2006). [CrossRef]
  19. S. Longhi, “Optical Zener-Bloch oscillations in binary waveguide arrays,” Europhys. Lett. 76, 416–421 (2006). [CrossRef]
  20. S. Longhi, “Optical Bloch oscillations and Zener tunneling with nonclassical light,” Phys. Rev. Lett. 101, 193902 (2008). [CrossRef] [PubMed]
  21. H. Trompeter, T. Pertsch, F. Lederer, D. Michaelis, U. Streppel, and A. Brauer, “Visual observation of Zener tunneling,” Phys. Rev. Lett. 96, 023901 (2006). [CrossRef] [PubMed]
  22. F. Dreisow, A. Szameit, M. Heinrich, T. Pertsch, S. Nolte, A. Tunnermann, and S. Longhi, “Bloch-Zener oscillations in binary superlattices,” Phys. Rev. Lett. 102, 076802 (2009). [CrossRef] [PubMed]
  23. M. J. Zheng, G. Wang, and K. W. Yu, “Tunable hybridization at mid zone and anomalous Bloch-Zener oscillations in optical waveguide ladders,” Opt. Lett. 35, 3865–3867 (2010). [CrossRef] [PubMed]
  24. M. J. Zheng, Y. S. Chan, and K. W. Yu, “Steering between Bloch oscillation and dipole oscillation in parabolic optical waveguide arrays,” J. Opt. Soc. Am. B 27, 1299–1304 (2010). [CrossRef]
  25. M. J. Zheng, J. J. Xiao, and K. W. Yu, “Controllable optical Bloch oscillation in planar graded optical waveguide arrays,” Phys. Rev. A 81, 033829 (2010). [CrossRef]
  26. A. Fratalocchi, K. A. Rutkowska, M. A. Karpierz, and G. Assanto, “Light induced angular steering via Floquet-Bloch band-tunnelling in one-dimensional liquid crystalline photonic lattices,” Opto-Electron. Rev. 15, 210–214 (2007). [CrossRef]

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