Inhomogeneity Enhanced Signatures of Electromagnetically Induced Transparency

Inhomogeneity Enhanced Signatures of Electromagnetically Induced Transparency | 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 Inhomogeneity Enhanced Signatures of Electromagnetically Induced Transparency Ramesh Kumar Vaduganathan, Rajadurai R, Radha Ramaswamy This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4292882/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 We investigate the propagation of a weak probe and a strong couple(pump) beam in an inhomogenous medium exhibiting Electromagnetically Induced Trans-parency(EIT) described by the Maxwell-Bloch equation. Unlike the homogenous case, the density matrix elements vary with the direction of pulse propagation. Employing the Gauge transformation approach, we have generated bright soli-tons for the weak probe and strong pump. The collisional dynamics of bright solitons shows that the presence of inhomogeneity makes the signatures of EIT more pronounced unlike the homogeneous counterpart. In particular, the colli-sional dynamics shows that one can not only slow down the laser pulses, but also can stop them literally leading to better optical storage. In addition, one also witnesses probe pulse broadening arising by virtue of space dependent density matrix showing that the medium becomes transparent to the probe over a wide range of frequencies. Electromagnetically induced transparency (EIT) Maxwell-Bloch (MB) equation solitons simulton solution gauge transformation 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-4292882","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":295992949,"identity":"21bf1446-6933-4dd8-9b8b-ad9712ab8a68","order_by":0,"name":"Ramesh Kumar Vaduganathan","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABFElEQVRIie3OMUvDQBTA8XcE4pK064Na/ARCSkCFKn6VOwqXpQHdAnbIdB3dhH4Ih1I4HQ8KXTzpWskSl2yFdMxSPLMVkqqbw/25cMeRH/cAbLb/GklpveUAV/VBATj1+ok4AQDWF78mLh6Sli6nb+yzeuXsefpePHgJnp0/LXMFyZClJ75qIqc6XoS+HjOpo4vM0ziQGQ8U6IilToc2EYRY9ohImFTc/ZgJJDKjgSJiaYgXNJLu9qWqvsm6cO9ne7yVWVQqsj9CMJbgCzPYhruwS5HJbGxeSY+R7aLnCx7KTeFgucKRIXeKrqJQtA4Wz3eVGPXlmpOSTq5vzGDzvJwM+49d3UhaouZz//C/zWaz2Q77AqI+aHLbUZTLAAAAAElFTkSuQmCC","orcid":"","institution":"Velammal Engineering College (Autonomous)","correspondingAuthor":true,"prefix":"","firstName":"Ramesh","middleName":"Kumar","lastName":"Vaduganathan","suffix":""},{"id":295992950,"identity":"75d352ed-2fa9-4aa5-a102-651c0685cba0","order_by":1,"name":"Rajadurai R","email":"","orcid":"","institution":"Velammal Engineering College (Autonomous)","correspondingAuthor":false,"prefix":"","firstName":"Rajadurai","middleName":"","lastName":"R","suffix":""},{"id":295992951,"identity":"6ef38db8-5122-4069-9cd6-524e74154b0d","order_by":2,"name":"Radha Ramaswamy","email":"","orcid":"","institution":"Government College for Women (Autonomous)","correspondingAuthor":false,"prefix":"","firstName":"Radha","middleName":"","lastName":"Ramaswamy","suffix":""}],"badges":[],"createdAt":"2024-04-19 11:29:24","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4292882/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4292882/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":65229579,"identity":"4b52947a-1d1b-4b6e-b20f-3db726b34358","added_by":"auto","created_at":"2024-09-25 04:09:08","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":3985980,"visible":true,"origin":"","legend":"","description":"","filename":"InhomogeneityEnhancedSignaturesofElectromagneticallyInducedTransparency.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4292882/v1_covered_7c40882b-ec0e-475f-84d6-c290ee1869b4.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Inhomogeneity Enhanced Signatures of Electromagnetically Induced Transparency","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":"Electromagnetically induced transparency (EIT), Maxwell-Bloch (MB) equation, solitons, simulton solution, gauge transformation","lastPublishedDoi":"10.21203/rs.3.rs-4292882/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4292882/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"We investigate the propagation of a weak probe and a strong couple(pump) beam in an inhomogenous medium exhibiting Electromagnetically Induced Trans-parency(EIT) described by the Maxwell-Bloch equation. Unlike the homogenous case, the density matrix elements vary with the direction of pulse propagation. Employing the Gauge transformation approach, we have generated bright soli-tons for the weak probe and strong pump. The collisional dynamics of bright solitons shows that the presence of inhomogeneity makes the signatures of EIT more pronounced unlike the homogeneous counterpart. In particular, the colli-sional dynamics shows that one can not only slow down the laser pulses, but also can stop them literally leading to better optical storage. 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