Wavefront reconstruction with tilt from two shearing interferograms

摘要

An algorithm is proposed to reconstruct one-dimensional wavefront on the basis of phase differences from two lateral shearing interferograms with tilt errors using discrete Fourier transform. The influence of the tilt errors in two phase differences is analyzed and the calibration process is illustrated in the presence of noise. The tilt errors can be canceled completely and the evaluated wavefront can be recovered with high accuracy even when the random errors exist. The error propagation of noise is investigated by means of Monte Carlo method, and its stability is presented. Finally, the computer simulation is carried out, the result of which demonstrated the capability of the proposed algorithm.