The effect of higher-order coupling on Bloch oscillations in optical waveguide arrays

In this paper the effect of higher order couplings on Bloch oscillations in an optical waveguide array is investigated. The analytical results show that although spatial Bloch oscillation period is not affected by higher order interactions, the reflected waves, which result from the direct coupling to higher order neighbors, oscillate with frequency larger than Bloch frequency. This phenomenon leads to multiple partial recursion of wave to its excited sites along to spatial Bloch period. Moreover, according to our numerical results, the symmetric properties of propagation pattern can be affected by input profile.