Fig. 1. Schematic diagram of 1D accelerating beams

Fig. 2. Optical field propagation evolution of 1D accelerating beams. (a) Circular trajectory beam when x0=0 and z0=r=50μm;(b) power function trajectory beam when an=20 and n=2

Fig. 3. Schematic diagram of circular trajectory beam propagation

Fig. 4. Optical field propagation of accelerating array beam with circular trajectory. (a1)-(a3) Intensity distributions at distances of 0, 20, and 44 μm when n=4; (b1)-(b3) intensity distributions at distances of 0, 20, and 44 μm when n=32

Fig. 5. Optical field propagation of accelerating array beam when n=256. (a) z=0 μm; (b) z=30 μm; (c) z=34 μm; (d) z=44 μm

Fig. 6. Intensity of accelerating array beams varying with propagation distance under different n values for z0=0, x0=r=100 μm,and c=10 μm. (a) Intensity curves; (b) curves of focus factor M

Fig. 7. Side views of accelerating beam propagation with n=32. (a) z0=0, x0=r=100 μm, c=10 μm; (b) z0=20 μm, x0=r=100 μm, c=10 μm; (c) z0=0, x0=80 μm, r=100 μm, c=10 μm; (d) z0=0, x0=100 μm, r=120 μm, c=10 μm