Multi-directional shearing synchronous polarization phase- shifting interferometer and its interferometry system experimental verification

Multi-directional shearing synchronous polarization phase- shifting interferometer and its interferometry system experimental verification | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Article Multi-directional shearing synchronous polarization phase- shifting interferometer and its interferometry system experimental verification Yahui zhu, Ailing tian, Hongjun wang, Bingcai liu, Kai wang This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-5173273/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 22 Jan, 2025 Read the published version in Scientific Reports → Version 1 posted 10 You are reading this latest preprint version Abstract This paper explores a multi-directional shearing synchronous polarization phase-shifting interferometer utilizing a birefringent crystal displacer. This design effectively mitigates nonlinear issues and environmental influences commonly encountered in synchronous phase-shifting interferometry. Additionally, it facilitates the acquisition of shear wavefront information from multiple directions. By solving for the coefficients of the measured wavefront using multi-directional differential wavefront information, this system performs fitting coefficient to reconstruct the wavefront. The characteristics of crystal birefringence beam modulation, phase grating diffraction, and polarization phase-shifting array for synchronous phase-shifting interferometry are investigated based on the specific implementation methods of multi-directional shearing and synchronous polarization phase-shifting. Subsequently, the preprocessing method for the multi-directional shearing phase-shifting interferogram was presented, followed by a detailed explanation of the spatial position registration technique for the shearing interferogram and the calculation method of the shear amount. The construction system of the interferometer was experimentally tested using a spherical optical component and was compared with the test results obtained from ZYGO to verify its correctness and testing accuracy. Lateral shearing of crystals multi-directional shearing interferometry synchronous polarization phase-shifting Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 22 Jan, 2025 Read the published version in Scientific Reports → Version 1 posted Editorial decision: Revision requested 18 Nov, 2024 Reviews received at journal 17 Nov, 2024 Reviews received at journal 11 Nov, 2024 Reviewers agreed at journal 29 Oct, 2024 Reviewers agreed at journal 24 Oct, 2024 Reviewers invited by journal 21 Oct, 2024 Editor assigned by journal 21 Oct, 2024 Editor invited by journal 21 Oct, 2024 Submission checks completed at journal 17 Oct, 2024 First submitted to journal 29 Sep, 2024 You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-5173273","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":379355669,"identity":"26c3872e-7559-497e-b9a8-7e56a0cca819","order_by":0,"name":"Yahui zhu","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAsUlEQVRIiWNgGAWjYFACHgZmBgYbHn7+BtK0pMlIzjhAmpbDNgYNCURqkJ+Re0y6sO08jwHDAcYPH3OI0MI4Iy/ZeGbbbR5z5gZmyZnbiNDCLJFj+JgXqMWy4QAbMy8xWtgkcgwO87ad4zE4kECkFh6ILQdI0CLB88bYmOdcMo/kjIPNxPlFvj3HTJqnzM6en7/54IePxGhhEEiAsRgbiFEPBPwHiFQ4CkbBKBgFIxcAACcWL6mu2nwFAAAAAElFTkSuQmCC","orcid":"","institution":"Huaiyin Normal University","correspondingAuthor":true,"prefix":"","firstName":"Yahui","middleName":"","lastName":"zhu","suffix":""},{"id":379355670,"identity":"40038c0d-72a3-40a6-aa2b-287739c40506","order_by":1,"name":"Ailing tian","email":"","orcid":"","institution":"Xi’an Technological University","correspondingAuthor":false,"prefix":"","firstName":"Ailing","middleName":"","lastName":"tian","suffix":""},{"id":379355673,"identity":"d0a006ef-9a70-4068-b77e-26d785c29829","order_by":2,"name":"Hongjun wang","email":"","orcid":"","institution":"Xi’an Technological University","correspondingAuthor":false,"prefix":"","firstName":"Hongjun","middleName":"","lastName":"wang","suffix":""},{"id":379355675,"identity":"ddeb5ce9-1710-476e-bebe-ada0e4967661","order_by":3,"name":"Bingcai liu","email":"","orcid":"","institution":"Xi’an Technological University","correspondingAuthor":false,"prefix":"","firstName":"Bingcai","middleName":"","lastName":"liu","suffix":""},{"id":379355676,"identity":"4c15af6e-7808-4347-928e-a244ee048551","order_by":4,"name":"Kai wang","email":"","orcid":"","institution":"Xi’an Technological University","correspondingAuthor":false,"prefix":"","firstName":"Kai","middleName":"","lastName":"wang","suffix":""}],"badges":[],"createdAt":"2024-09-29 06:38:07","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-5173273/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-5173273/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1038/s41598-025-86370-8","type":"published","date":"2025-01-22T15:56:51+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":74858248,"identity":"5d56fb2b-97f4-4ee5-b1d5-c28cf55e8d2d","added_by":"auto","created_at":"2025-01-27 16:01:28","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":2187668,"visible":true,"origin":"","legend":"","description":"","filename":"RevisedManuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-5173273/v1_covered_c84eacc1-5831-4967-af0b-bf85137d60f8.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Multi-directional shearing synchronous polarization phase- shifting interferometer and its interferometry system experimental verification","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"scientific-reports","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"scirep","sideBox":"Learn more about [Scientific Reports](http://www.nature.com/srep/)","snPcode":"","submissionUrl":"","title":"Scientific Reports","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Scientific Reports","inReviewEnabled":true,"inReviewRevisionsEnabled":true},"keywords":"Lateral shearing of crystals, multi-directional shearing interferometry, synchronous polarization phase-shifting","lastPublishedDoi":"10.21203/rs.3.rs-5173273/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-5173273/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThis paper explores a multi-directional shearing synchronous polarization phase-shifting interferometer utilizing a birefringent crystal displacer. 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