Fig. 1. Schematic of model of spatiotemporal focusing multistep propagation algorithm for PM

Fig. 2. Schematic of focusing system with PM for high-power ultrashort laser. (a) Propagation; (b) inhomogeneous plasma expansion

Fig. 3. Schematic of focusing multistep propagation

Fig. 4. Simulation results of example. (a) Spatial distribution of intensity; (b) spatial distribution of phase; (c) focal spot without PM; (d) focal spot with PM; (e) encircled power

Fig. 5. Influence of plasma expansion time on focal spot deterioration. (a) Strehl ratios; (b) encircled power in bucket for first-order dark-pattern diffraction angle

Fig. 6. Influence of amplitude of wavefront error on focal spot deterioration. (a) Focal spot with 0.1λ; (b) focal spot with 0.3λ; (c) focal spot with 0.5λ; (d) encircled power in bucket

Fig. 7. Influence of spatial frequency of wavefront error on focal spot deterioration. (a) Focal spot with low spatial frequency; (b) focal spot with medium spatial frequency; (c) focal spot with high spatial frequency; (d) encircled power in bucket; (e) encircled power in bucket corresponding to expansion time for first-order dark-pattern diffraction angle