Fig. 1. Calculation area and observation window

Fig. 2. Mach number distributions at different time. (a) Iso-value lines; (b) cloud chart

Fig. 3. Density variation and power spectrum distribution at point B. (a) Density variation; (b) power spectrum

Fig. 4. Wavefront distributions at different time. (a) Original; (b) de-tilt; (c) reconstruction

Fig. 5. Zernike polynomial coefficient

Fig. 6. Wavefront residual

Fig. 7. Comparison between steady-state wavefront and 1^st mode. (a) Steady-state wavefront; (b) 1^st mode

Fig. 8. 2^nd to 5^th mode distributions of wavefront

Fig. 9. Wavefront reconstruction with different modes. (a) 10; (b) 49; (c) 217

Fig. 10. Characteristic values and energy percentage distribution of each mode

Fig. 11. Variation and power spectrum distribution of mode weighting coefficient. (a) Variation with time; (b) power spectrum distribution