Manipulating Light-Matter Interactions with Trifoil Knot-Inspired Media

Manipulating Light-Matter Interactions with Trifoil Knot-Inspired Media | 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 Manipulating Light-Matter Interactions with Trifoil Knot-Inspired Media Muhsin Hayat, Akhtar Zamman This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7752675/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 10 You are reading this latest preprint version Abstract This study investigates the spatial distribution of electric susceptibility in a medium influenced by a trifoil knot (optical knot) topology. Analyzing the real and imaginary parts of susceptibility reveals structured patterns in absorption (0.015% maximum, minimizing to 0 within −3.5λ ≤ x ≤ 3.5λ and −3.5λ ≤ y ≤ 3.5λ and refractive properties (maximum refractive response of 0.0117% at x/λ = 0 and y/λ = 0). The results demonstrate transitions from high absorption to minimal-loss states and significant refractive behavior, with dispersion peaks reaching 0.00011703. Notably, imaginary susceptibility (Imχ) ranges from-7.58×10 −6 to 1.20×10 −5 , indicating potential applications in quantum optics, nonlinear media, and optical switching/filtering. . Optical knots Electric susceptibility Trifoil knot Quantum optics Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Review Version 1 posted Editorial decision: Revision requested 26 Oct, 2025 Reviews received at journal 22 Oct, 2025 Reviews received at journal 21 Oct, 2025 Reviewers agreed at journal 13 Oct, 2025 Reviewers agreed at journal 13 Oct, 2025 Reviewers invited by journal 08 Oct, 2025 Editor assigned by journal 08 Oct, 2025 Editor invited by journal 07 Oct, 2025 Submission checks completed at journal 06 Oct, 2025 First submitted to journal 06 Oct, 2025 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. 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