Under the influence of the next-nearest-neighbor interaction, we theoretically investigate the occurrence of Bloch oscillations in zigzag waveguide arrays. Because of the special topological configuration of the lattice itself, the second-order coupling (SOC) can be enhanced significantly and leads to the band alteration beyond the nearest-neighbor model, i.e., the offset of minimum value from the band edge. Contrary to the behavior in the vanishing SOC, the oscillation patterns exhibit new features, namely, a double turning-back occurs when the beam approaches the band edge. Our results can be applied to some ordered-lattice systems.
© 2010 Optical Society of America
Original Manuscript: January 4, 2010
Revised Manuscript: April 24, 2010
Manuscript Accepted: April 30, 2010
Published: May 28, 2010
Gang Wang, Ji Ping Huang, and Kin Wah Yu, "Nontrivial Bloch oscillations in waveguide arrays with second-order coupling," Opt. Lett. 35, 1908-1910 (2010)