The parameter estimation of interference fringes with quadratic phase based on FRFT/DCFT

Ruo Qi Xing, Xin Liang, De Ming Shen, Hong Tao Wei, Sai Hui Fan, Er Zhuo Liu, Ming Feng Lu*, Jin Min Wu, Ran Tao

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Interferometry technology has a wide range of applications because of high accuracy and sensitivity, the core of which is the processing of interference fringe pattern. The interference fringes with quadratic phase are very common in interferometry measurement, which means that any sophisticated interference fringes can be decomposed or approximatively decomposed by them. Newton’s rings are typical interference fringes with quadratic phase, the physical parameters such as curvature radius and position of ring’s center are included in the pattern. The parameter estimation algorithm of Newton’s rings based on FRFT/DCFT needs only one pattern to realize the estimation through the method of signal processing with advantages of easy operation, high accuracy, high speed and strong anti-noise performance, for reason that the Newton’s ring is actually a two-dimension Chirp signal.

Original languageEnglish
Title of host publication5th Optics Young Scientist Summit, OYSS 2022
EditorsChao-Yang Lu, Yangjian Cai, Feng Chen, Zhaohui Li
PublisherSPIE
ISBN (Electronic)9781510660014
DOIs
Publication statusPublished - 2022
Event5th Optics Young Scientist Summit, OYSS 2022 - Fuzhou, China
Duration: 16 Sept 202219 Sept 2022

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume12448
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X

Conference

Conference5th Optics Young Scientist Summit, OYSS 2022
Country/TerritoryChina
CityFuzhou
Period16/09/2219/09/22

Keywords

  • Discrete Chirp Fourier transform(DCFT)
  • Fractional Fourier transform(FRFT)
  • Newton’s rings
  • Parameter estimation

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