Fig. 1. B integral versus the exponential truncation factor a

Fig. 2. Maximum intensity I_max versus the propagation distance z, P/P_cr=6500. (a) An Airy beam; (b) a Gaussian beam

Fig. 3. For different values of exponential truncation factor a, the maximum intensity I_max versus the propagation distance z

Fig. 4. For different values of beam power, F_pre versus a

Fig. 5. Intensity distributions at the target (a=0.05, P/P_cr=6000). (a) Without preliminary defocusing; (b) with preliminary defocusing

Fig. 6. For different values of beam power, intensity profile along x axis versus the propagation distance z (a=0.06)

Fig. 7. Transverse position x₀ of the intensity maximum versus the propagation distance z (a=0.06)

Fig. 8. Intensity distributions at the target (P/P_cr=9000). (a) An Airy beam; (b) a Gaussian beam