Bloch Oscillations in the Optical Waveguide Array

The multiple scattering formalism is proposed describing the guided modes in the optical waveguide array within the framework of macroscopic electrodynamics. It is shown that, under sufficiently general assumptions, our approach justifies the phenomenological model used widely to treat various physical phenomena in the optical micro- and nano-structures. It is found that the theory developed in this paper describes the real experiments in which the the Bloch oscillations are observed. Surprisingly, not only qualitative but also reasonably quantitative agreement is found.