Fig. 1. Evolution of the intensity distribution for the two dimensional Airy beam with ax=ay=0.2. Propagation distance is as follows: (a) z=0, (b) L/16, (c) L/8, (d) 3L/16, (e) L/4, (f) 5L/16, (g) 3L/8, (h) 7L/16, and (i) L/2.

Fig. 2. Intensity distribution of the beam at the plane z=L/16 for different values of ax=ay. Values of ax or ay are chosen as follows: (a) 0.1, (b) 0.25, (c) 0.4, (d) 0.5, (e) 0.63, (f) 0.83, (g) 0.9, (h) 1.2, and (i) 1.3.

Fig. 3. Centroid position of one-dimensional finite energy Airy beam with different value of ax. Values of ax=0.25 (solid red line), 0.3 (solid green line), 0.45 (solid blue line), 0.63 (solid black line), ax=0.9 (dashed red line), 1.0 (dashed green line), and 1.2 (dashed blue line).

Fig. 4. Beam width of one-dimensional finite energy Airy beam with different value of ax. Values of ax=0.25 (solid red line), 0.3 (solid green line), 0.45 (solid blue line), 0.63 (solid black line), ax=0.9 (dashed red line), 1.0 (dashed green line), and 1.2 (dashed blue line).