Author Affiliations
1 Key Laboratory of Adaptive Optics, Chinese Academy of Sciences, Chengdu, Sichuan 610209, China2 University of Chinese Academy of Sciences, Beijing 100049, China3 Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu, Sichuan 610209, Chinashow less
Fig. 1. Optical setup for wavefront measurement
Fig. 2. Walsh functions. (a) Segments formed by divided unit circle; (b) Walsh functions in polar coordinates (Black areas are assigned value of 1, white areas are assigned value of -1)
Fig. 3. Equivalent matrix of wavefront
Fig. 4. Mean value of absolute value of Walsh function coefficient
Fig. 5. Incident wavefront (PV is 1.43λ,RMS is 0.31λ)
Fig. 6. RMS of residual wavefront reconstructed with different number of Walsh functions
Fig. 7. Reconstructed real part of optical field
Fig. 8. Reconstructed imaginary part of optical field with selected 64 Walsh functions. (a) Absolute value of reconstructed imaginary part of optical field; (b) reconstructed imaginary part of optical field
Fig. 9. Reconstructed discrete wavefront. (a) Wrapped wavefront; (b) unwrapped wavefront
Fig. 10. (a) Wavefront after smoothing; (b) residual wavefront (PV is 0.074λ,RMS is 0.0086λ)
Fig. 11. Wavefront reconstructed with the first 256 Walsh functions. (a) Reconstructed wavefront; (b) residual wavefront (PV is 2.30×10-3λ,RMS is 1.58×10-4λ)
Fig. 12. Wavefront reconstructed results when signal-to-noise ratio of thermal noise is 30 dB. (a) Unwrapped discrete wavefront; (b) reconstructed wavefront; (c) residual wavefront between unwrapped discrete wavefront and incident wavefront; (d) residual wavefront of reconstructed wavefront (PV is 0.47λ,RMS is 0.045λ)