Modulation of Slow/Fast Propagation Regimes as well as Azimuthal Light Entrainment within a Rotating Atomic System via Rodrigues-Legendre Structured Fields

Modulation of Slow/Fast Propagation Regimes as well as Azimuthal Light Entrainment within a Rotating Atomic System via Rodrigues-Legendre Structured Fields | 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 Modulation of Slow/Fast Propagation Regimes as well as Azimuthal Light Entrainment within a Rotating Atomic System via Rodrigues-Legendre Structured Fields Muhsin Hayat This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-8874079/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 This research explores an original strategy for regulating both sub-light and faster-than-light propagation, alongside rotary photon drag, in a spinning atomic medium. We utilize external fields based on the Rodrigues? representation of Legendre polynomials to exert high-precision command over light-matter interactions. Our results identify a characteristic dull-shaped absorbtion profile marked by a central maximum,?regions of minimal as well as maximal absorbtion correspond to normal and anomalous dispersion, respectively. By meticulously adjusting the medium’s parameters, we demonstrate significant modulation of the group velocity, reaching magnitudes of roughly (±6.0×104ms−1) (with a Slow/Fast light index fluctuation of ±5×103 at n = 2) and delay times of ±20 μ/Hz. A primary finding is the direct correlation between the rate of propagation and the orientation of the dragging effect, slow light triggers standard drag, whereas accelerated light results in reversed (anomalous) drag. This latter effect exhibits a measured drag angle θdr as high as (±0.005rad). These insights provide new foundations for the development of sophisticated optical and biomedical sensors, imaging arrays, and next-generation telecommunication frameworks. . Sub-lominal Super-luminal Rotary Photon Drag Rodrigues’ form of Legendre polynomials Full Text Additional Declarations Competing interest reported. best 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-8874079","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":600547783,"identity":"f9bf47ff-466c-4439-9ba9-bca357f3c7d2","order_by":0,"name":"Muhsin Hayat","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABA0lEQVRIie3QIWvDQBTA8ReqBquv677AIKNwKk0+yEyOg8y0ZTKiIjWZm84+xCBqTN54sJpjZw9a0RCoqrjJub2061yaysHuby6B98vjAuBy/ckuAWKQ+0dp04AObyHPJD3vrVBJQ7JuAgfSw4sc4fja2nUxRVu9rof+UksEpcPnB6Qt8+C2jTAzSwZcbW9KJQDv05V4UZzIezLNWsmEAc/RKyWRQq0Ek0S8DE+RkSUSlboG7Ocfgumqk/gDIrw0oiEyZKZri9qxhognU/v0k0XMDG2JT91lORl9fuU4ftS8tjYNI6bvqo2dB63ktyt5OPl+Mu4abxr+fDQ6Z9jlcrn+V99nyHZKoC1vbQAAAABJRU5ErkJggg==","orcid":"","institution":"Government Post Graduate College Timergara","correspondingAuthor":true,"prefix":"","firstName":"Muhsin","middleName":"","lastName":"Hayat","suffix":""}],"badges":[],"createdAt":"2026-02-13 16:41:27","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-8874079/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-8874079/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":105403151,"identity":"2bbc1f0d-1014-49c7-87c3-3d9c25fa8b2c","added_by":"auto","created_at":"2026-03-25 15:42:01","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":861632,"visible":true,"origin":"","legend":"","description":"","filename":"new.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8874079/v1_covered_d9d2dd04-5dda-403b-9523-e564b91c32e4.pdf"}],"financialInterests":"Competing interest reported. best","formattedTitle":"Modulation of Slow/Fast Propagation Regimes as well as Azimuthal Light Entrainment within a Rotating Atomic System via Rodrigues-Legendre Structured Fields","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":"Sub-lominal, Super-luminal, Rotary Photon Drag, Rodrigues’ form of Legendre polynomials","lastPublishedDoi":"10.21203/rs.3.rs-8874079/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-8874079/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThis research explores an original strategy for regulating both sub-light and faster-than-light propagation, alongside rotary photon drag, in a spinning atomic medium. 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