Anharmonic Bloch Oscillations in the Optical Waveguide Array

TL;DR

This paper analytically investigates anharmonic Bloch oscillations of light in optical waveguide arrays using a second-order coupling model, providing explicit predictions of beam paths and confirming them with numerical simulations.

Contribution

It introduces an analytical formula for anharmonic Bloch oscillations in optical waveguides considering second-order interactions, advancing understanding of light dynamics in such systems.

Findings

Analytical formula accurately predicts beam paths.

Explicit determination of turning points in oscillations.

Confirmed agreement between theory and numerical simulation.

Abstract

The anharmonic Bloch oscillations of a light beam in the array of optical waveguides are considered. The coupling modes model (CMM) with the second order interaction is used to describe the effect analytically. The formula obtained predicts explicitly the path of the optical beam, in particular, the positions of the turning points are found. A total agreement of this formula with the numerical simulation is confirmed.