Partial phase reconstruction for zero optical path difference determination using a chirp Z-transform-based algorithm

A new adaptive algorithm for partial phase reconstruction using a chirp Z-transform-based algorithm is proposed. In this algorithm, a digital interference fringe signal is transformed into the frequency domain using a linear transformation. After selecting the spectral components of the signal in the frequency domain, the partially wrapped phase signal is selected and reconstructed in the time domain using chirp Z-transformation, which is utilized to determine the zero phase-crossing point near the point of interest, and the point is used to determine the relative position zero optical path length difference between the two mirrors in the interferometer. Both the qualitative and quantitative results clearly demonstrate the superiority of our method over the standard discrete Fourier transform pair algorithm.