We predict that surface optical Bloch oscillations can exist in semi-infinite waveguide arrays with a linear index variation, if the array parameters close to the boundary are appropriately perturbed. The perturbation is such that the surface states obtain the Wannier–Stark ladder eigenvalues of the unperturbed infinite array. The number of waveguides, whose parameters need to be controlled, decreases with increasing ratio of index gradient over coupling. The configuration can find applications as a “matched” termination of waveguide arrays to eliminate the distortion of Bloch oscillations due to reflection on the boundaries.
© 2012 Optical Society of America
Original Manuscript: February 16, 2012
Revised Manuscript: March 2, 2012
Manuscript Accepted: March 3, 2012
Published: May 23, 2012
I. D. Chremmos and N. K. Efremidis, "Surface optical Bloch oscillations in semi-infinite waveguide arrays," Opt. Lett. 37, 1892-1894 (2012)