Tunable Airy beam and its propagation properties

Having dealt with the diffraction effects of a propagating laser, the Airy beam is a new kind of beam with nondiffraction. In our paper, based on the Airytransformation technique, we introduced a novel Airy beam with the tunable tail, which could be generated from the elliptical flattopped Gaussian beam. Through calculation, the Airy beam with the single tail was obtained by adjusting the ration of the beam width of elliptical flattopped Gaussian beam.And the tail length of Airy beam was controlled by the order N of incident beam.Research results show that the acceleration direction of Airy beam is 45 along x axis with p=1, being 31 with p=1/2, and being x positive direction with p=1/3. It can be seen that the acceleration direction of Airy beam could be adjusted by changing the values of p.