Propagation of an Airy-Gaussian beam in defected photonic lattices

TL;DR

This study numerically explores how Airy-Gaussian beams propagate in defected photonic lattices, revealing control over beam trajectory, shape, and localization through lattice parameters and nonlinearity, including soliton formation.

Contribution

It provides new insights into beam dynamics in defected photonic lattices, especially regarding the effects of defects and nonlinearity on beam behavior.

Findings

Positive defects induce oscillation and localization of AiG beams.

Negative defects cause beam diffusion.

Self-focusing nonlinearity can lead to soliton formation.

Abstract

We investigate numerically that a finite Airy-Gaussian (AiG) beam varies its trajectory and shape in the defected photonic lattices. The propagation properties and beam self-bending are controlled with modulation depth and period of the photonic lattices, positive and negative defects, beam distribution factor and nonlinearity change. For positive defects, the pseudo-period oscillation and localization of the AiG beam may be formed under a certain condition, while the beam is diffused for negative defects. Moreover, the solitons may appear during the propagation process when the self-focusing nonlinearity is introduced.