Programmable Terahertz Waveform Synthesis via Coherent Interference of Phonon Polaritons

Programmable Terahertz Waveform Synthesis via Coherent Interference of Phonon Polaritons | 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 Programmable Terahertz Waveform Synthesis via Coherent Interference of Phonon Polaritons Ye Tian, Jixing Gao, Jiajing Hao, Yifei Fang, Liwei Song, Ruxin Li This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-9092994/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 9 You are reading this latest preprint version Abstract Terahertz photonics lacks a flexible platform for synthesizing arbitrary coherent waveforms, limiting applications in ultrafast control and quantum information. Here we introduce a phase-matching-directed nonlinear synthesis scheme that transforms the four-wave mixing detection process into a programmable waveform generator. Using intense terahertz pulses to excite broadband phonon polaritons in α-quartz, the phase-matching condition actively selects two specific polariton frequencies. Their coherent interference, mediated by third-order nonlinearity, produces an optical beat note at their difference frequency—a virtual frequency that is not constrained by material eigenmodes but is dictated by externally imposed parameters. This allows us to synthesize beat frequencies of 4.3/6.0 THz (extraordinary branch) and 6.3/7.1 THz (ordinary branch) in the optical signal. Furthermore, we introduce a double-terahertz-pulse excitation scheme that decomposes the broadband pump into two narrowband pulses aligned with the selected polariton modes. By independently tuning their carrier-envelope phases and field strengths, we achieve decoupled control over the temporal waveform and modulation depth of the synthesized beat note while keeping the beat frequency constant. This work establishes a universal framework for all-optical engineering of coherent terahertz waveforms, applicable to a wide range of dielectrics and scalable to other frequency domains. It paves the way for programmable terahertz photonic devices and coherent control of quantum systems. Physical sciences/Optics and photonics/Optical physics/Polaritons Physical sciences/Optics and photonics/Optical physics/Nonlinear optics Full Text Additional Declarations There is no conflict of interest Supplementary Files Supplementaryinformation1.docx Supplementary Information for Programmable Terahertz Waveform Synthesis via Coherent Interference of Phonon Polaritons Cite Share Download PDF Status: Under Review Version 1 posted Review # 1 received at journal 11 May, 2026 Reviewer # 4 agreed at journal 29 Apr, 2026 Reviewer # 3 agreed at journal 28 Apr, 2026 Reviewer # 2 agreed at journal 21 Apr, 2026 Reviewer # 1 agreed at journal 21 Apr, 2026 Reviewers invited by journal 21 Apr, 2026 Submission checks completed at journal 22 Mar, 2026 Editor assigned by journal 11 Mar, 2026 First submitted to journal 11 Mar, 2026 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. 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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-9092994","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":627120565,"identity":"fcb002df-f845-4162-bb3e-0fb7d2e37f6f","order_by":0,"name":"Ye 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