Bloch Oscillations in the Optical Waveguide Array

TL;DR

This paper develops a multiple scattering formalism to describe guided modes in optical waveguide arrays, successfully explaining and quantitatively matching experimental observations of Bloch oscillations in micro- and nano-structures.

Contribution

It introduces a general theoretical framework that justifies phenomenological models and accurately describes Bloch oscillations in optical waveguide arrays.

Findings

The formalism aligns well with experimental data.

Qualitative and quantitative agreement with observed Bloch oscillations.

Provides a foundation for analyzing optical micro- and nano-structures.

Abstract

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.