Non-Conservation of Total Energy Flow Induced by Wave Superposition

Non-Conservation of Total Energy Flow Induced by Wave Superposition | 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Article Non-Conservation of Total Energy Flow Induced by Wave Superposition Bingli Jiao This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6532899/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 In light of the ongoing debates over possible infringements of the energy conservation Law (ECL), we create a systematic model to revisit the superposition of electromagnetic waves, which gives rise to anomalous energy manifestations within the domain of classical electromagnetism. This phenomenon was initially observed in a model wherein two harmonic waves engage in either constructive or destructive interference throughout space. Nevertheless, it was previously dismissed as a “false paradox” by incorrectly attributing its root cause to the electromagnetic (EM) coupling effect between radiation sources. To rectify the mistake, we completely eliminate the EM coupling problem by replacing the EM sources with two focal points formed by two half-parabolic surfaces. The results of our study uncover, again, a physical fact that the ECL does not necessarily persist universally in case of wave interference, at least within the framework of Poynting’s theorem. Full Text Additional Declarations No competing interests reported. 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-6532899","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":473783635,"identity":"387880e4-449a-4f74-adbb-df794d4bf215","order_by":0,"name":"Bingli Jiao","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAw0lEQVRIiWNgGAWjYBACxmYGBmaGAhsGCRCPh3gtBmkkaAEBoJbDJGhhbmd++LjA4Hye5IwExgdv2xjkzQk7jM3YeIbB7WJpiQRmw7ltDIY7GwhqYTCT5jG4nThPIoFNmreNIcHgAEEt7N+AWs6BtLD/JlILD8iWA4mzgbYwE6ulGOiX5GLJnofNknPOSRhuIKTFsP/4xscFFXZ5EseTD354U2YjT9AWwwYInQC0EMSUIKAeCOQZ4FpGwSgYBaNgFOAAAE66OC2u874eAAAAAElFTkSuQmCC","orcid":"","institution":"Peking University","correspondingAuthor":true,"prefix":"","firstName":"Bingli","middleName":"","lastName":"Jiao","suffix":""}],"badges":[],"createdAt":"2025-04-26 06:08:15","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-6532899/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-6532899/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":85168400,"identity":"e0b4d7b3-6fc4-45ef-a301-0dbeff9e1e4a","added_by":"auto","created_at":"2025-06-23 04:48:08","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":484619,"visible":true,"origin":"","legend":"","description":"","filename":"submitjiao.pdf","url":"https://assets-eu.researchsquare.com/files/rs-6532899/v1_covered_d6430d16-652d-4cfb-a0a0-2210536c9f69.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Non-Conservation of Total Energy Flow Induced by Wave Superposition","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-6532899/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-6532899/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"In light of the ongoing debates over possible infringements of the energy conservation Law (ECL), we create a systematic model to revisit the superposition of electromagnetic waves, which gives rise to anomalous energy manifestations within the domain of classical electromagnetism. 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