Exact recovery of wavefront from multishearing interferograms in spatial domain

An exact algorithm based on the multishearing interferograms has been proposed to reconstruct a two-dimensional wavefront. It allows large shears and high resolution of the reconstructed wavefront to be achieved. In this paper, we use simultaneous linear equations to express the relationship between difference wavefronts and the unknown original wavefront, and then the least-squares method is applied to reconstruct the wavefront. To solve the memory problem, an improved wavefront reconstruction algorithm based on virtual subaperture stitching was proposed to improve the calculation efficiency. Lastly, numerical simulations are implemented and the proposed algorithm is compared with another modal and zonal method. The results indicate that the proposed algorithm is capable of reconstructing continuous or discontinuous wavefronts exactly with a large grid. Numerical simulation also shows high accuracy recovery capability of the proposed method in the existence of mixed noise.