Harmonic oscillations and their switching in elliptical optical waveguide arrays

TL;DR

This paper explores harmonic oscillations in elliptical optical waveguide arrays with engineered coupling, demonstrating long-lasting oscillations and controllable switching for potential optical signal applications.

Contribution

It introduces a novel elliptical waveguide array design with Kac matrix coupling enabling controlled oscillation switching and long-lived Bloch and dipole oscillations.

Findings

Long-living Bloch and dipole oscillations achieved

Switching between oscillation types demonstrated

Potential for optical signal transmission and routing

Abstract

We have studied harmonic oscillations in an elliptical optical waveguide array in which the coupling between neighboring waveguides is varied in accord with a Kac matrix so that the propagation constant eigenvalues can take equally spaced values. As a result, long-living Bloch oscillation (BO) and dipole oscillation (DO) are obtained when a linear gradient in the propagation constant is applied. Moreover, we achieve a switching from DO to BO or vice versa by ramping up the gradient profile. The various optical oscillations as well as their switching are investigated by field evolution analysis and confirmed by Hamiltonian optics. The equally spaced eigenvalues in the propagation constant allow viable applications in transmitting images, switching and routing of optical signals.