Reconstruction of partial envelope of interference pattern based on chirp Z-transform

This paper presents a novel algorithm for the partial reconstruction of interference pattern envelopes. In multi-pulse train interferometers, the exact determination of the peak position of the envelope of interference fringes is of paramount importance. The estimation of the interference pattern en elope usually involves the use of discrete Fourier transform (DFT). The proposed algorithm is based on the chirp Z-transform (CZT) instead of DFT and avoids estimating the entire envelope of the interference pattern. It is sufficient for determining part of the envelope around the peak value position. The proposed approach is presented and illustrated for the first time by means of optical fringes. The experimental results demonstrate that this approach is reliable for partial elope determination. (C) 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement