Fig. 1. Relative distortion parameter versus β₀

Fig. 2. Intensity distributions of elliptical Gaussian beam. (a) β₀＝0.25，z＝0，P＝25 kW; (b) β₀＝0.49，z＝0，P＝25 kW; (c) β₀＝1.00，z＝0，P＝25 kW; (d) N＝0.3025, z＝2 km, P＝25 kW; (e) N＝0.1102，z＝2 km，P＝25 kW; (f) N＝0.0378，z＝2 km, P＝25 kW; (g) β₀＝4.00，z＝0，P＝250 kW; (h) β₀＝1.69，z＝0，P＝250 kW; (i) β₀＝1.00, z＝0, P＝250 kW; (j) N＝0.0473，z＝2 km，P＝250 kW; (k) N＝0.1721，z＝2 km，P＝250 kW; (l) N＝0.3781，z＝2 km，P＝250 kW

Fig. 3. Normalized intensity profiles at target and displacement of peak intensity. (a) Normalized intensity profiles in wind direction; (b) displacement of peak intensity versus β₀ at P＝25 kW

Fig. 4. Spots of focused elliptical Gaussian beam at different propagation distances. (a1)(b4) β₀＝0.25; (c1)(d4) β₀＝1.00; (e1)(f4) β₀＝4.00

Fig. 5. Beam symmetry versus propagation distance. (a) In free space; (b) in atmosphere，v＝10 m/s; (c) in atmosphere，v＝4 m/s

Fig. 6. Astigmatic parameter at target surface versus different parameters. (a) β_0;(b) v (solid line indicates that beam is transmitted in atmosphere, while dashed line indicates that beam is transmitted in free space. Only marked solid curve corresponds to w_x/w_y,and other curves correspond to w_y/w_x)

Fig. 7. w_86.5% versus propagation distance. (a) In free space; (b) in atmosphere

Fig. 8. Focal shift versus β₀

Fig. 9. Centroid position at target surface versus β₀

Fig. 10. Steady-state time of thermal blooming. (a) Centroid position at target surface versus time; (b) steady-state time t_s versus β₀