Open AccessReconstruction of partial envelope of interference pattern based on chirp Z-transform
Author(s) -
Dong Wei,
Meiyun Chen
Publication year - 2019
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.27.013803
Subject(s) - envelope (radar) , interference (communication) , chirp , optics , position (finance) , fourier transform , physics , algorithm , computer science , telecommunications , radar , channel (broadcasting) , laser , finance , quantum mechanics , economics
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 envelope 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 envelope determination.