Energy Confinement of Mode-Localised Sensors

Energy Confinement of Mode-Localised Sensors | 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 Energy Confinement of Mode-Localised Sensors Honglong Chang, Zhao Zhang, Han Li, Cheng Hou, Yongcun Hao This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3842676/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 Energy confinement is one of the significant features of the mode-localised phenomenon and is also the secret behind the high sensitivity of mode-localised sensors. Surprisingly, limited attention has been directed towards comprehensively elucidating the phenomenon of energy confinement within a specific resonator in weakly coupled resonators through detailed physical analysis. In this paper, a novel concept of modal dominance is proposed for the first time to elucidate the energy confinement of mode-localised sensors. The mode frequencies of the weakly coupled resonant system are dominated by the natural frequencies of the resonators in the system and the relationship between the two frequencies determines the resonant states, and then the amplitudes of the resonators. When perturbations break the system symmetry, the resonator in resonance acquires the larger amplitude while the amplitude of the out-of resonance resonator decreases. The concept of modal dominance is illustrated comprehensively and experimentally proved. Physical sciences/Physics Physical sciences/Engineering/Electrical and electronic engineering Full Text Additional Declarations (Not answered) 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-3842676","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":267122829,"identity":"77d47382-d107-4fce-a749-00d698986e5c","order_by":0,"name":"Honglong Chang","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA0klEQVRIiWNgGAWjYDACCSBmbLCQg3KZidYiYUy6lsQGorXwz25+9vDrDon07RK5xyQYKqwTG9jPHsBvyZ1j5sayZyRyd87IS5NgOJOe2MCTl4BXi4FEgpm0ZJtE7obbOWYSjG2HExskeAwIaEn/BtKSbgDW8o8oLTlmkh/bJBIgWhqI0CJxI6dMmrFNwnDD/XfJFgnH0o3beHLwa+Gfkb5N8mebjbzBmbMHb3yosZbtZz+DXwsIMPOAKSCZAKTYCKoHAsYfMC2jYBSMglEwCrABAOJMQPETzAMvAAAAAElFTkSuQmCC","orcid":"https://orcid.org/0000-0003-0400-3658","institution":"Ministry of Education Key Laboratory of Micro and Nano Systems for Aerospace, School of Mechanical Engineering, Northwestern Polytechnical University, China","correspondingAuthor":true,"prefix":"","firstName":"Honglong","middleName":"","lastName":"Chang","suffix":""},{"id":267122830,"identity":"bde5ae24-ae49-4d28-80fc-c0b632f3d107","order_by":1,"name":"Zhao Zhang","email":"","orcid":"","institution":"Northwestern Polytechnical University","correspondingAuthor":false,"prefix":"","firstName":"Zhao","middleName":"","lastName":"Zhang","suffix":""},{"id":267122831,"identity":"0ddf6ff1-6a54-475b-b35b-63cf0e71e794","order_by":2,"name":"Han Li","email":"","orcid":"","institution":"Northwestern Polytechnical University","correspondingAuthor":false,"prefix":"","firstName":"Han","middleName":"","lastName":"Li","suffix":""},{"id":267122832,"identity":"f044122a-c5bb-4fa8-9670-b5581c7860ad","order_by":3,"name":"Cheng Hou","email":"","orcid":"","institution":"Northwestern Polytechnical University","correspondingAuthor":false,"prefix":"","firstName":"Cheng","middleName":"","lastName":"Hou","suffix":""},{"id":267122833,"identity":"8f7e4ce4-62c9-40c6-9b7f-38e225f4bf2f","order_by":4,"name":"Yongcun Hao","email":"","orcid":"https://orcid.org/0000-0003-4853-5808","institution":"Northwestern Polytechnical University","correspondingAuthor":false,"prefix":"","firstName":"Yongcun","middleName":"","lastName":"Hao","suffix":""}],"badges":[],"createdAt":"2024-01-07 13:50:07","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-3842676/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-3842676/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":60052167,"identity":"8680922d-d359-44ff-a38f-24cb590aed1e","added_by":"auto","created_at":"2024-07-11 06:33:47","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":765492,"visible":true,"origin":"","legend":"","description":"","filename":"EnergyConfinementofModeLocalisedSensors.pdf","url":"https://assets-eu.researchsquare.com/files/rs-3842676/v1_covered_e28b7bad-94b0-4e28-b1f3-5248c664fc96.pdf"}],"financialInterests":"(Not answered)","formattedTitle":"Energy Confinement of Mode-Localised Sensors","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"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-3842676/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-3842676/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eEnergy confinement is one of the significant features of the mode-localised phenomenon and is also the secret behind the high sensitivity of mode-localised sensors. Surprisingly, limited attention has been directed towards comprehensively elucidating the phenomenon of energy confinement within a specific resonator in weakly coupled resonators through detailed physical analysis. In this paper, a novel concept of modal dominance is proposed for the first time to elucidate the energy confinement of mode-localised sensors. The mode frequencies of the weakly coupled resonant system are dominated by the natural frequencies of the resonators in the system and the relationship between the two frequencies determines the resonant states, and then the amplitudes of the resonators. When perturbations break the system symmetry, the resonator in resonance acquires the larger amplitude while the amplitude of the out-of resonance resonator decreases. 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