A novel wavefront reconstruction algorithm based on interpolation coefficient matrix for radial shearing interferometry

•An algorithm is proposed to reconstruct the wavefront for RSI.•An interpolation coefficient matrix is adopted to calculate the test wavefront.•The interpolation coefficient matrix is simple and easy to establish.•The proposed algorithm can avoid the mode cross-talk and aliasing error.•The proposed algorithm is more accurate and stable than the previous methods.

A novel wavefront reconstruction algorithm for radial shearing interferometer (RSI) is proposed in this paper. Based on the shearing relationship of RSI, an interpolation coefficient matrix is established by the radial shearing ratio and the number of discrete points of test wavefront. Accordingly, the expanded wavefront is characterized by the interpolation coefficient matrix and the test wavefront. Consequently the test wavefront can be calculated from the phase difference wavefront. The numerical simulation is conducted to confirm the correctness of the proposed algorithm. Compared with the previous wavefront reconstruction methods, the proposed algorithm is more accurate and stable.