Mobility of localized beams in non-homogeneous photonic lattices

TL;DR

This paper investigates the existence, stability, and mobility of localized beams in one-dimensional non-homogeneous photonic lattices with a nonlinear impurity, revealing conditions for robust beam transmission and filtering.

Contribution

It introduces a detailed analysis of beam mobility and impurity interactions in non-homogeneous photonic lattices, highlighting new conditions for stable and controllable light propagation.

Findings

Identified parameter regimes for stable, mobile localized beams.

Demonstrated impurity acts as a variable filter for localized beams.

Provided insights into maintaining information integrity in optical devices.

Abstract

Waveguide arrays offer enormous potential to design circuit elements essential to fabricate optical devices capable to processing information codified by light. In this work we study the existence and stability of localized beams in one dimensional photonic lattices composed by a Kerr type waveguide array. We analyzed the case where discrete translation symmetry is broken in as much as one of the waveguides lacks a nonlinear response. Specifically, we determined the space of parameters where a coherent and robust mobility across the lattice is achieved. Moreover, we calculate the reflection and transmission coefficients when localized beams interact directly with the impurity, finding that it behaves as a variable filter depending of system parameters. Our results would shed light on develop solutions to keep unaltered information during its transmission within future optical devices.