EigenFlux: A Stable Multi-Stream Radiative Transfer Method for Strongly Backward-Scattering Media

EigenFlux: A Stable Multi-Stream Radiative Transfer Method for Strongly Backward-Scattering 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 EigenFlux: A Stable Multi-Stream Radiative Transfer Method for Strongly Backward-Scattering Media Daniel P. Johnson, Matthew S. Johnson This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3966645/v2 This work is licensed under a CC BY 4.0 License Status: Posted Version 2 posted You are reading this latest preprint version Show more versions Abstract The radiative transfer (RT) of light and radiation through a medium such as an atmosphere, pigment, or water is of interest to many research communities, such as atmospheric physics and chemistry, metereology, climate research, astronomy, remote sensing, painting and coating material science, oceanography, hydrology, and graphics rendering. Despite its many uses, to the best of our knowledge there is not a non-commercial multi-stream algorithm capable of handling strongly backwards scattering systems with asymmetries in excess of −0.95. In this paper we present an derivation and implementation of the EigenFlux system which incorporates use of a Mesh Approximates multistream and eigenvalue decomposition with numerical stability achieved through the use of a natural reflectance condition. We conclude with numerical demonstrations of the range and precision of the method. Earth and environmental sciences/Climate sciences Earth and environmental sciences/Ocean sciences Earth and environmental sciences/Planetary science Physical sciences/Astronomy and planetary science Physical sciences/Chemistry Physical sciences/Materials science Physical sciences/Mathematics and computing Physical sciences/Optics and photonics Physical sciences/Physics Radiative Transfer Asymmetrical Scattering Atmospheric Physics Light Propagation Material Science Remote Sensing Full Text Additional Declarations The authors declare no competing interests. Cite Share Download PDF Status: Posted Version 2 posted You are reading this latest preprint version Show more versions 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. 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