Interaction of Airy-Gaussian beams in photonic lattices with defects

摘要

We investigate numerically the interaction between two finite Airy-Gaussian (AiG) beams in different mediawith the defected photonic lattices in one transverse dimension.We discuss that the beamswith different intensitiesand phases launch into the different lattice structures but accelerate in opposite directions. During interactions, theinterference fringe, breathers, and soliton pairs are observed. In the linear media, the initial deflection direction ofthe 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 depthand phase shift. While the nonlinearity is introduced, the breathers is generated. Especially in the self-defocusingmedia, the appropriate AiG beam amplitude and lattice depth may lead to the formation of soliton pairs, On thecontrary, the interaction of two Gaussian beams is diffraction.