Heuristic investigation for valid application of the Tinkham formula in the Drude metal thin film

Heuristic investigation for valid application of the Tinkham formula in the Drude metal thin film | 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 Research Article Heuristic investigation for valid application of the Tinkham formula in the Drude metal thin film Young Sun Lee, Sang Youn Ahn, Sung Ju Hong, Young-Mi Bahk This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6544929/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 12 You are reading this latest preprint version Abstract The Tinkham formula has been used to approximately study transmission characteristics of electromagnetic waves through thin conducting films. For valid application of the formula, features of thin films such as thickness and electrical conductivity are restricted. Herein, we investigate applicable conditions of the Tinkham formula for various metal films of which electrical and optical properties satisfy the Drude model. Especially, we compare analytic and numerical results for the transmission of terahertz wave through various metal films, providing appropriate application conditions for the Tinkham formula. Terahertz spectroscopy complex electrical conductivity Tinkham formula Drude metal nano film Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Review Version 1 posted Editorial decision: Revision requested 02 Jun, 2025 Reviews received at journal 02 Jun, 2025 Reviews received at journal 30 May, 2025 Reviews received at journal 23 May, 2025 Reviewers agreed at journal 21 May, 2025 Reviewers agreed at journal 21 May, 2025 Reviewers agreed at journal 19 May, 2025 Reviewers agreed at journal 19 May, 2025 Reviewers invited by journal 19 May, 2025 Editor assigned by journal 12 May, 2025 Submission checks completed at journal 08 May, 2025 First submitted to journal 28 Apr, 2025 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-6544929","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":458514686,"identity":"440c4ae1-c6a9-414d-ba8f-b325b9e6cffc","order_by":0,"name":"Young Sun Lee","email":"","orcid":"","institution":"Incheon National University","correspondingAuthor":false,"prefix":"","firstName":"Young","middleName":"Sun","lastName":"Lee","suffix":""},{"id":458514687,"identity":"04efa535-7d65-4cc5-82df-19d0eb5a5a56","order_by":1,"name":"Sang Youn Ahn","email":"","orcid":"","institution":"Incheon National University","correspondingAuthor":false,"prefix":"","firstName":"Sang","middleName":"Youn","lastName":"Ahn","suffix":""},{"id":458514692,"identity":"179d4c7f-ff19-4621-9218-33a264dcfc59","order_by":2,"name":"Sung Ju Hong","email":"","orcid":"","institution":"Kangwon National University","correspondingAuthor":false,"prefix":"","firstName":"Sung","middleName":"Ju","lastName":"Hong","suffix":""},{"id":458514694,"identity":"b4031b54-fca7-4401-937f-72b5be78aee7","order_by":3,"name":"Young-Mi Bahk","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAn0lEQVRIiWNgGAWjYFACHsYHCRAWM9FamA1I1sImwUCSFoNrZ49VPNxxmIG//QCzcQVRWm7npd1IPHOYQeJMAnPiGeK05JjdSGw7zMBwg4H5YAOxWgpAWuRJ0sIA0mIA1JJIlBbJ23nJEolt6TyGZxKbDYnSwnc79+DHn23WcnLHDx+WJEqLwgEIzcPAwEiUBgYGeSLVjYJRMApGwUgGAAStMfX0+1D2AAAAAElFTkSuQmCC","orcid":"","institution":"Incheon National University","correspondingAuthor":true,"prefix":"","firstName":"Young-Mi","middleName":"","lastName":"Bahk","suffix":""}],"badges":[],"createdAt":"2025-04-28 07:23:08","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-6544929/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-6544929/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":83128406,"identity":"a59a3c96-fc1d-4193-8642-25c3b00f5974","added_by":"auto","created_at":"2025-05-20 09:55:24","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":620435,"visible":true,"origin":"","legend":"","description":"","filename":"202504282maintext.pdf","url":"https://assets-eu.researchsquare.com/files/rs-6544929/v1_covered_db03f29c-0367-4f9b-9a2c-29fc008e06b8.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Heuristic investigation for valid application of the Tinkham formula in the Drude metal thin film","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":"journal-of-the-korean-physical-society","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"","sideBox":"Learn more about [Journal of the Korean Physical Society](https://link.springer.com/journal/40042)","snPcode":"40042","submissionUrl":"https://submission.springernature.com/new-submission/40042/3","title":"Journal of the Korean Physical Society","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"Terahertz spectroscopy, complex electrical conductivity, Tinkham formula, Drude metal, nano film","lastPublishedDoi":"10.21203/rs.3.rs-6544929/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-6544929/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThe Tinkham formula has been used to approximately study transmission characteristics of electromagnetic waves through thin conducting films. 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