{"title":"Generalized ripple suppression algorithm for phase-shift interferometric wavefronts","authors":"Yuqing Liu, Donghui Zheng, Lei Chen, Zhe Zhang","doi":"10.1016/j.optlaseng.2026.109674","DOIUrl":null,"url":null,"abstract":"<div><div>In phase-shifting interferometry using narrow-bandwidth light sources, ripple noise introduced by multiple error sources is one of the key factors limiting its wavefront calculation accuracy, this study proposed a generalized ripple suppression algorithm (GRSA) in its standard measurement scenarios. The distribution law of ripple errors caused by different error sources were investigated, and a mathematical model was established to decompose the wavefront shape components. The ripple components in wavefronts can be calculated and directly subtracted via two least-squares fittings on multiple wavefronts containing different ripple errors. Feasibility of the GRSA was verified through simulations and experiments, and the root mean square error of the simulated wavefront reaches 2.1 × 10<sup>−5</sup>λ. Factors affecting the accuracy of phase calculation and several special cases were analyzed, and optimization schemes for algorithm parameters were provided based on the analysis results. The experimental and simulation results show that the GRSA can effectively improve measurement accuracy and repeatability by suppressing the ripple error in the wavefront.</div></div>","PeriodicalId":49719,"journal":{"name":"Optics and Lasers in Engineering","volume":"201 ","pages":"Article 109674"},"PeriodicalIF":3.7000,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Optics and Lasers in Engineering","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0143816626000795","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2026/2/4 0:00:00","PubModel":"Epub","JCR":"Q2","JCRName":"OPTICS","Score":null,"Total":0}
引用次数: 0
Abstract
In phase-shifting interferometry using narrow-bandwidth light sources, ripple noise introduced by multiple error sources is one of the key factors limiting its wavefront calculation accuracy, this study proposed a generalized ripple suppression algorithm (GRSA) in its standard measurement scenarios. The distribution law of ripple errors caused by different error sources were investigated, and a mathematical model was established to decompose the wavefront shape components. The ripple components in wavefronts can be calculated and directly subtracted via two least-squares fittings on multiple wavefronts containing different ripple errors. Feasibility of the GRSA was verified through simulations and experiments, and the root mean square error of the simulated wavefront reaches 2.1 × 10−5λ. Factors affecting the accuracy of phase calculation and several special cases were analyzed, and optimization schemes for algorithm parameters were provided based on the analysis results. The experimental and simulation results show that the GRSA can effectively improve measurement accuracy and repeatability by suppressing the ripple error in the wavefront.
期刊介绍:
Optics and Lasers in Engineering aims at providing an international forum for the interchange of information on the development of optical techniques and laser technology in engineering. Emphasis is placed on contributions targeted at the practical use of methods and devices, the development and enhancement of solutions and new theoretical concepts for experimental methods.
Optics and Lasers in Engineering reflects the main areas in which optical methods are being used and developed for an engineering environment. Manuscripts should offer clear evidence of novelty and significance. Papers focusing on parameter optimization or computational issues are not suitable. Similarly, papers focussed on an application rather than the optical method fall outside the journal''s scope. The scope of the journal is defined to include the following:
-Optical Metrology-
Optical Methods for 3D visualization and virtual engineering-
Optical Techniques for Microsystems-
Imaging, Microscopy and Adaptive Optics-
Computational Imaging-
Laser methods in manufacturing-
Integrated optical and photonic sensors-
Optics and Photonics in Life Science-
Hyperspectral and spectroscopic methods-
Infrared and Terahertz techniques