Interaction of Airy-Gaussian beams in defected photonic lattices

TL;DR

This paper explores how Airy-Gaussian beams interact within defected photonic lattices, revealing phenomena like interference fringes, breathers, and soliton pairs, influenced by lattice structure, phase shifts, and nonlinearity.

Contribution

It provides new insights into beam interactions in defected photonic lattices, including the formation of soliton pairs and the effects of phase shifts and lattice defects.

Findings

Interference fringes, breathers, and soliton pairs are observed during interactions.

Adjusting phase shift and beam interval changes the initial deflection direction.

Nonlinearity leads to breather and soliton pair formation.

Abstract

We investigate interactions by means of direct numerical simulations between two finite Airy-Gaussian (AiG) beams in different media with the defected photonic lattices in one transverse dimension. We discuss different lattice structures in which the beams with different intensities and phases are launched into the medium, but accelerate in opposite directions. During interactions we see the interference fringe, breathers and soliton pairs generated that are not accelerating. In the linear media, the initial deflection direction of the accelerated beams is changed by adjusting the phase shift and the beam interval. For a certain lattice period, the periodic interference fringe can form. A constructive or destructive interference can vary with the defect depth and phase shift. While the nonlinearity is introduced, the breathers is generated. Especially, the appropriate beam amplitude and lattice depth may lead to the formation of soliton pairs.