Study the ISO-FDTD algorithm to processing higher-order dielectric function in SFM-FDTD

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Abstract

In this paper, we use an ISO-FDTD (improved shift operator finite-difference time-domain, proposed by others) algorithm to further process some more complex dielectric functions like critical models, and several higher order Lorentz models fitted by ourselves, these function models totally have 6 ~ 8 susceptibility terms, and each term was consisted by two complex poles (Lorentz model). Our working supporting the universal applicability of ISO-FDTD for processing higher-order complex dispersive materials. And we applied this ISO-FDTD algorithm in SFM-FDTD (split-field method FDTD) to simulate dispersion media under oblique incidence. The simulation results meet well with the analytical solutions. Researchers can have an alternate option besides ADE and PLRC methods when processing high-order dispersive media in SFM-FDTD.
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Study the ISO-FDTD algorithm to processing higher-order dielectric function in SFM-FDTD | 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 Study the ISO-FDTD algorithm to processing higher-order dielectric function in SFM-FDTD ke-da gu, jin xie, hong-wei yang This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-2082637/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 In this paper, we use an ISO-FDTD (improved shift operator finite-difference time-domain, proposed by others) algorithm to further process some more complex dielectric functions like critical models, and several higher order Lorentz models fitted by ourselves, these function models totally have 6 ~ 8 susceptibility terms, and each term was consisted by two complex poles (Lorentz model). Our working supporting the universal applicability of ISO-FDTD for processing higher-order complex dispersive materials. And we applied this ISO-FDTD algorithm in SFM-FDTD (split-field method FDTD) to simulate dispersion media under oblique incidence. The simulation results meet well with the analytical solutions. Researchers can have an alternate option besides ADE and PLRC methods when processing high-order dispersive media in SFM-FDTD. ISO-FDTD Complex dielectric function SFM-FDTD Higher-order Full Text 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-2082637","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":139234996,"identity":"1047a6c6-0f42-49a6-a825-e766c4af932f","order_by":0,"name":"ke-da gu","email":"","orcid":"","institution":"Nanjing Agricultural University","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"ke-da","middleName":"","lastName":"gu","suffix":""},{"id":139234997,"identity":"cd8148f3-bef2-42cc-bc6d-29ed24d6764f","order_by":1,"name":"jin xie","email":"","orcid":"","institution":"Nanjing Agricultural University","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"jin","middleName":"","lastName":"xie","suffix":""},{"id":139234998,"identity":"e65e7eca-69a0-4665-a5f3-1be615ec4f57","order_by":2,"name":"hong-wei yang","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA4ElEQVRIiWNgGAWjYDACCQYDZgiL+QDDAwPStLAlMCSQqIXHgCGBGB3m0s0bmAvbDsub86/5+CGh4HDidgbmh49u4NFiOedYAfPMtsOGO2e83SyRYHA4cWcDm7FxDh4tBjdyDJh5tx1m3HDj7Aawlg0HeNikidFiv+HGmcc/SNKSuOF8DxtxtljOSCtg5v2XnrzhBpuZRYJBuvGGwwT8Yi6RvIGZ54y17Ybzhx/f+PDHWnbD8eaHj/E6jIGB/QcDQzMwghJAfCCDGY9yqBYQqGNg4D8AZYyCUTAKRsEoQAMAXBRUQqUR510AAAAASUVORK5CYII=","orcid":"","institution":"Nanjing Agricultural University","correspondingAuthor":true,"submittingAuthor":false,"prefix":"","firstName":"hong-wei","middleName":"","lastName":"yang","suffix":""}],"badges":[],"createdAt":"2022-09-20 01:26:26","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-2082637/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-2082637/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":27089016,"identity":"4ed641eb-3a8c-40f2-8e7e-d4bac68f3528","added_by":"auto","created_at":"2022-09-28 14:49:37","extension":"pdf","order_by":2,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":2332318,"visible":true,"origin":"","legend":"","description":"","filename":"G11.pdf","url":"https://assets-eu.researchsquare.com/files/rs-2082637/v1_covered.pdf"}],"financialInterests":"","formattedTitle":"Study the ISO-FDTD algorithm to processing higher-order dielectric function in SFM-FDTD","fulltext":[{"header":"Full Text","content":"This preprint is available for \u003ca href='/article/rs-2082637/latest.pdf' target='_blank'\u003edownload as a PDF\u003c/a\u003e."}],"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":false,"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":"ISO-FDTD, Complex dielectric function, SFM-FDTD, Higher-order","lastPublishedDoi":"10.21203/rs.3.rs-2082637/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-2082637/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eIn this paper, we use an ISO-FDTD (improved shift operator finite-difference time-domain, proposed by others) algorithm to further process some more complex dielectric functions like critical models, and several higher order Lorentz models fitted by ourselves, these function models totally have 6\u0026thinsp;~\u0026thinsp;8 susceptibility terms, and each term was consisted by two complex poles (Lorentz model). 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