Mathieu-Bragg photonic lattices

TL;DR

This paper demonstrates that Bragg diffraction can be modeled using classical light in photonic lattices with a specific refractive index profile, revealing integrable dynamics and allowing for closed-form solutions.

Contribution

It introduces a novel modeling approach for Bragg diffraction using photonic lattices with a square power law refractive index, providing analytical solutions.

Findings

Bragg diffraction modeled by classical light in specific photonic lattices.

The dynamics are fully integrable and solvable in closed form.

Trajectories of light in these structures are characterized.

Abstract

We show that Bragg diffraction may be modeled by classical light propagation in photonic lattices having a square power law for the refraction index coefficient. The dynamics is shown to be fully integrable and therefore described in closed form. We examine the trajectories of classical light propagating in such structures.