Synchronization of Two Indirectly Coupled Singly Resonant Optical Parametric Oscillators | 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 Synchronization of Two Indirectly Coupled Singly Resonant Optical Parametric Oscillators M. S Mahmoud, M. Medhat, Hassan F. El-Nashar This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3773824/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 24 Apr, 2024 Read the published version in Optical and Quantum Electronics → Version 1 posted 7 You are reading this latest preprint version Abstract We analyse a system of a singly resonant optical parametric oscillator for a second order nonlinear material. First, we show that the dynamics of the resonating cavity signal mode can be expressed by a Stuart-Landau oscillator, for a certain pumping powers close to the threshold. Second, we couple two optical parametric oscillators indirectly via a cold resonator. When the condition of a weak coupling is satisfied, the limit-cycle of each oscillator is unaltered, and the system is described by a coupled phase oscillator model (Kuramoto model), where a frequency synchronization of the two oscillators occurs at a critical coupling constant. optical parametric oscillators Stuart-Landau oscillator coupled singly resonant optical parametric oscillators Kuramoto model and synchronization Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 24 Apr, 2024 Read the published version in Optical and Quantum Electronics → Version 1 posted Editorial decision: Revision requested 07 Feb, 2024 Reviews received at journal 25 Jan, 2024 Reviewers agreed at journal 03 Jan, 2024 Reviewers invited by journal 03 Jan, 2024 Editor assigned by journal 30 Dec, 2023 Submission checks completed at journal 21 Dec, 2023 First submitted to journal 18 Dec, 2023 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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