Fig. 1. Normalized coordinate diagram of rectangular aperture

Fig. 2. Distributions of primary aberration terms in non-circular Zernike polynomial. (a)‒(c) Rectangular aperture; (d)‒(f) square aperture; (g)‒(i) annular aperture

Fig. 3. Schematic diagram of interference for quadriwave lateral shearing interferometer and definition of shearing direction

Fig. 4. Simulation flowchart of DZPF-AA

Fig. 5. Original wavefront under different apertures. (a) Annular aperture; (b) square aperture; (c) rectangular aperture

Fig. 6. Reconstructed wavefront, reconstruction error, and reconstruction coefficient error of DZPF-AA in annular, square, and rectangular apertures. (a)‒(c) Distribution diagrams of reconstructed wavefront; (d)‒(f) distribution diagrams of reconstruction error; (g)‒(i) diagrams of reconstruction coefficient error

Fig. 7. Variations of relative reconstruction error δ with noise level NL under different apertures. (a) Annular aperture; (b) square aperture; (c) rectangular aperture

Fig. 8. When the noise level is at 30%, variations in relative reconstruction error δ with shearing amount s. (a) Annular aperture; (b) square aperture; (c) rectangular aperture

Fig. 9. In absence of noise, variations of relative reconstruction error δ with the reconstructed single-term aberration. (a) Annular aperture; (b) square aperture; (c) rectangular aperture

Fig. 10. When the noise level is 30%, variations of relative reconstruction error δ with the reconstructed single-term aberration. (a) Annular aperture; (b) square aperture; (c) rectangular aperture

Fig. 11. Layout of null test experiment using quadriwave lateral shearing interferometer

Fig. 12. Interferogram of null test experiment using quadriwave lateral shearing interferometer

Fig. 13. Effective interferograms of different apertures. (a) Annular aperture; (b) square aperture; (c) rectangular aperture

Fig. 14. Wavefront reconstruction results for different apertures, when using the DZPF-AA for null test experiment. (a) Annular aperture; (b) square aperture; (c) rectangular aperture

Fig. 15. Experiment on aberration test for wavefront reconstruction with arbitrary aperture. (a) Optical path schematic; (b) experimental setup diagram

Fig. 16. Quadriwave lateral shearing interferogram corresponding to wavefront with aberrations

Fig. 17. Experimental results of testing wavefront with aberrations under different apertures. (a)‒(c) Wavefronts measured by Shack-Hartmann sensor corresponding to respective apertures; (d)‒(f) wavefronts reconstructed by quadriwave lateral shearing interferometer using DZPF-AA; (g)‒(i) errors of reconstructed wavefronts relative to wavefronts obtained by Shack-Hartmann sensor