Abstract
Anomalous Bloch oscillations in arrays of coupled waveguides have been investigated using two different approaches: multiple scattering formalism and coupled-mode model. Both approaches are shown to yield identical results. Formulas for the parameters of the coupled-mode model are derived. An analytical expression for the optical beam path is obtained, and the condition for the existence of anomalous Bloch oscillations is found.
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References
S. Longhi, “Quantum-Optical Analogies Using Photonic Structures,” Laser Photon. Rev. 3, 243 (2009).
U. Peschel, T. Pertsch, and F. Lederer, “Optical Bloch Oscillations in Waveguide Arrays,” Opt. Lett. 23, 1701 (1998).
T. Pertsch, P. Dannberg, W. Elflein, and A. Braüer, “Optical Bloch Oscillations in Temperature Tuned Waveguide Arrays,” Phys. Rev. Lett. 83, 4752 (1999).
T. Pertsch, T. Zentgraf, U. Peschel, A. Braüer, and F. Lederer, “Beam Steering in Waveguide Arrays,” Appl. Phys. Lett. 30, 3247 (2002).
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 (2006).
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).
G. Wang, J. P. Huang, and K. W. Yu, “Nontrivial Bloch Oscillations inWaveguide Arrays with Second-Order Coupling,” Opt. Lett. 35, 1908 (2010).
F. Dreisow, G. Wang, M. Heinrich, R. Keil, A. Tünnermann, S. Nolte, and A. Szameit, “Observation of Anharmonic Bloch Oscillations,” Opt. Lett. 36, 3963 (2011).
M. I. Gozman, Yu. I. Polishchuk, I. Ya. Polishchuk, and E. A. Tsivkunova, “Anomalous Optical Bloch Oscillations,” Solid State Commun. 213-214, 16 (2015).
M. I. Gozman, Yu. I. Polishchuk, and I. Ya. Polishchuk, “On the Theory of the Optical Bloch Oscillations,” Opt. Eng. 53, 071806 (2014).
M. I. Gozman and I. Ya. Polishchuk, “Band Structure of Photonic Crystals and Optical Bloch Oscillations,” in 16th International Conference on Transparent Optical Networks (ICTON2014) (Graz, Austria, July 6-10, 2014),We. D6. 6.
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Gozman, M.I., Polishchuk, I.Y. & Polishchuk, Y.I. Anomalous Bloch oscillations in arrays of coupled waveguides. Phys. Wave Phen. 24, 11–16 (2016). https://doi.org/10.3103/S1541308X16010039
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DOI: https://doi.org/10.3103/S1541308X16010039