Enhancing HFSS Design Efficiency through Python-Based Automation: A Case Study of Sierpinski Triangle Fractal

Enhancing HFSS Design Efficiency through Python-Based Automation: A Case Study of Sierpinski Triangle Fractal | 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 Enhancing HFSS Design Efficiency through Python-Based Automation: A Case Study of Sierpinski Triangle Fractal Mariem Abdi, Taoufik Aguili This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6046862/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 6 You are reading this latest preprint version Abstract The Sierpinski Triangle is a well-established mathematical structure with a clearly defined geometric formulation. However, its significance extends beyond pure mathematics, particularly in RF engineering. Fractal geometries like the Sierpinski Triangle have proven highly beneficial for designing high-fre-quency components such as antennas, waveguides and filters. However, manu-ally creating these intricate structures with software simulators can be time-con-suming and error prone. This paper presents a novel approach to optimizing the design process of the Sierpinski Triangle fractal pattern using the High Frequency Structure Simulator (HFSS) and Python scripting. A test scenario was conducted to assess the adaptability of the automated process across different fractal itera-tion levels. A comparative analysis between automated and manual design meth-ods was performed, focusing on key metrics such as time efficiency, design ac-curacy, and flexibility. The findings demonstrate significant time savings, re-duced human intervention, and improved precision, underscoring the advantages of automation in high-frequency component design. Sierpinski triangle fractal geometry HFSS automation Python scripting design efficiency iteration levels time efficiency design accuracy Full Text Cite Share Download PDF Status: Under Review Version 1 posted Editorial decision: Major revisions 16 Sep, 2025 Reviewers agreed at journal 18 Jun, 2025 Reviewers invited by journal 17 Jun, 2025 Editor invited by journal 16 Jun, 2025 Editor assigned by journal 17 Feb, 2025 First submitted to journal 16 Feb, 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. 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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-6046862","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":472749411,"identity":"6b103e82-d836-4bf1-83a7-5f8bddefb6f1","order_by":0,"name":"Mariem Abdi","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABA0lEQVRIiWNgGAWjYJCCA0CcAMQGzAxsEnJgkQekaDEGiyQQYRNMC0NiA4yLC+i2n3144GOOXZ5ue/PGzwVlFunzww4/BNpiJ6fbgF2L2Zl0g4MztyUXm505Viw945xE7sbbaQZALcnGZgdwaDmQxnCYdxtz4rYbOQbSvG1ALbMTQFoOJG7DpeX8M4bDf7fVJ267/8b4N1BLuuHs9A/4tdwA2sK47TDQFh4zkC0J8tI5BGy58YzhYO+244nbzqSVWQP9YrhBOqfgQIIBHr+cT2P+8HNbdeK244c33y4oq5OXn52++cOHCjs5XFowgQFYpQGxykFAvoEU1aNgFIyCUTASAAA0JmqywM8UKgAAAABJRU5ErkJggg==","orcid":"https://orcid.org/0000-0003-0520-7679","institution":"National Engineering School of Tunis: Ecole Nationale d'Ingenieurs de Tunis","correspondingAuthor":true,"prefix":"","firstName":"Mariem","middleName":"","lastName":"Abdi","suffix":""},{"id":472749412,"identity":"0d892e69-3fb4-45da-a85a-ac20bda277f7","order_by":1,"name":"Taoufik Aguili","email":"","orcid":"","institution":"National Engineering School of Tunis: Ecole Nationale d'Ingenieurs de Tunis","correspondingAuthor":false,"prefix":"","firstName":"Taoufik","middleName":"","lastName":"Aguili","suffix":""}],"badges":[],"createdAt":"2025-02-17 10:23:11","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-6046862/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-6046862/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":84997465,"identity":"b016a4dd-c287-491e-88ee-991b4652092d","added_by":"auto","created_at":"2025-06-19 16:31:54","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":496343,"visible":true,"origin":"","legend":"","description":"","filename":"Article.pdf","url":"https://assets-eu.researchsquare.com/files/rs-6046862/v1_covered_62db2290-ff12-45f8-9647-bf1abafe4c4b.pdf"}],"financialInterests":"","formattedTitle":"Enhancing HFSS Design Efficiency through Python-Based Automation: A Case Study of Sierpinski Triangle Fractal","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":true,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"international-journal-of-system-assurance-engineering-and-management","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"ijsa","sideBox":"Learn more about [International Journal of System Assurance Engineering and Management](http://link.springer.com/journal/13198)","snPcode":"13198","submissionUrl":"https://www.editorialmanager.com/ijsa/default2.aspx","title":"International Journal of System Assurance Engineering and Management","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"Sierpinski triangle, fractal geometry, HFSS automation, Python scripting, design efficiency, iteration levels, time efficiency, design accuracy","lastPublishedDoi":"10.21203/rs.3.rs-6046862/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-6046862/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"The Sierpinski Triangle is a well-established mathematical structure with a clearly defined geometric formulation. 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