Effects of High-Order Nonlinearities on Phononic Frequency Combs

Effects of High-Order Nonlinearities on Phononic Frequency Combs | 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 Effects of High-Order Nonlinearities on Phononic Frequency Combs Adarsh Ganesan, Priya Tiwari This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4702404/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract Phononic frequency combs (PFC) hold promise for bringing the utility of celebrated optical frequency combs into the domain of phonons. The interactions of multiple phonon modes in a nonlinear medium result in the generation of PFC. Previous work established the existence conditions of PFC for two-modal interactions via quadratic nonlinearity. However, in real situations, higher-order nonlinearities could also play a role in comb generation. To this end, this work derives multiple analytical expressions to quantify the effects of high-order nonlinearities on PFC and their existence boundaries. The odd-order nonlinearities affect the amplitude parameters of existence boundary curve and the even-order nonlinearities modulate the frequency parameters. The frequency and amplitude parameters of existence boundary curve are analytically derived and the effects of high-order nonlinearities on the existence boundaries of PFC are quantified for a published experimental case. Full Text Additional Declarations No competing interests reported. Supplementary Files Supplementary.docx Cite Share Download PDF Status: Posted Version 1 posted 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. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. 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-4702404","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":325388316,"identity":"128ce05b-4cd5-4016-9567-4edf990f10ae","order_by":0,"name":"Adarsh Ganesan","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA+klEQVRIiWNgGAWjYFCCBAYGxgY4zwaIGRsPkKIlDaSlgSQth8EkXi387cnPPv7ccdiuf3bz4Q8/d5y3W9t+GGhLjU00Li0SZ54Zz+Y9czh5xp1jaZK9Z24nbzuTCNRyLC23AZeeGwnGzIxtackMN3LMGHjbbiebHQBqYWw4jFOL/I30z4w/gVrkb+R//vi37Vyy2fmH+LUY3MgxBhpuYwdkMEjzth2wM7tBwBbDM2+KmYFaEgxvpJlJy7YlJ5jdANqSgMcvcsfTNwMdJmEvdyP58ce3bXb2ZufTHz74UGOD2/tQkNiAwkggoBwE7DEYo2AUjIJRMApgAAAF1Wl+xEBS9wAAAABJRU5ErkJggg==","orcid":"","institution":"Birla Institute of Technology and Science, Pilani - Dubai Campus","correspondingAuthor":true,"prefix":"","firstName":"Adarsh","middleName":"","lastName":"Ganesan","suffix":""},{"id":325388317,"identity":"6371a758-60e0-451f-8dab-7ff54679f978","order_by":1,"name":"Priya Tiwari","email":"","orcid":"","institution":"Indian Institute of Science Education and Research (IISER) Thiruvananthapuram","correspondingAuthor":false,"prefix":"","firstName":"Priya","middleName":"","lastName":"Tiwari","suffix":""}],"badges":[],"createdAt":"2024-07-08 03:52:38","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4702404/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4702404/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":60112037,"identity":"5209fbd0-3603-4d12-88a6-023c7a272f61","added_by":"auto","created_at":"2024-07-12 02:05:27","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":747147,"visible":true,"origin":"","legend":"","description":"","filename":"Manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4702404/v1_covered_bad54512-b6e6-4e62-a641-8d56a0656352.pdf"},{"id":60111806,"identity":"95314e87-22d7-4149-9748-13f7b6678d95","added_by":"auto","created_at":"2024-07-12 01:57:26","extension":"docx","order_by":7,"title":"","display":"","copyAsset":false,"role":"supplement","size":41764,"visible":true,"origin":"","legend":"","description":"","filename":"Supplementary.docx","url":"https://assets-eu.researchsquare.com/files/rs-4702404/v1/77b512c5b23699bb50713b15.docx"}],"financialInterests":"No competing interests reported.","formattedTitle":"Effects of High-Order Nonlinearities on Phononic Frequency Combs","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"","lastPublishedDoi":"10.21203/rs.3.rs-4702404/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4702404/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"Phononic frequency combs (PFC) hold promise for bringing the utility of celebrated optical frequency combs into the domain of phonons. 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