  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.

Optics