Wavelength filtering and optical tunneling due to Bloch oscillators in curved waveguide arrays

Summary form only given. Bloch oscillations (BO) arise in a periodic potential superimposed on a linear potential, e.g., an ideal crystal under a static electric field. Observations of BO only recently become feasible using semiconductor superlattices (excitonic BO) and accelerating optical potentials (atomic BO). Landau-Zener tunneling in our geometry manifests itself as radiation losses on a side of the array where the effective refractive index is greater. The rate of the tunneling is given. We numerically calculate the amount of radiation losses in the array for three different propagation distances and observe oscillatory dependence under certain conditions.