A wavefront detection method based on the sparse aperture sampling

A wavefront detection method for large aperture optical system based on the sparse aperture sampling is proposed. The conversion matrix of Zernike coefficients between the sub-aperture and full aperture is derived. The full aperture wavefront is calculated by the wavefront of the sub-aperture and the conversion matrix. The condition number of the conversion matrix is applied to evaluate the accuracy of the full aperture wavefront. Numerical simulation is employed to verify the accuracy of wavefront detection. The simulation results indicate that the wavefront RMS of the full aperture decreases with increasing the fill factor, sub-aperture number and sub-aperture baseline length of the sparse aperture. The accuracy of the full aperture wavefront can also be improved by our detection method.