Fig. 1. Parabolic relationship between the input aberration and the metric function.

Fig. 2. Mean correction accuracy varied with the wavefront error RMS.

Fig. 3. Residual wavefront error varied with the iteration number.

Fig. 4. Experimental system layout.

Fig. 5. First 10 DM eigenmodes and the corresponding fitting errors.

Fig. 6. First 10 Lukosz modes and the corresponding fitting errors.

Fig. 7. (a) Initial spot, RMS=0.34λ; (b) the corrected spot using the traditional method, RMS=0.084λ; (c) the corrected spot using the improved method, RMS=0.041λ.