Practical Vectorial Mode Solver for Dielectric Waveguides Based on Finite Differences

[2503.17746] Practical Vectorial Mode Solver for Dielectric Waveguides Based on Finite Differences Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Physics > Optics arXiv:2503.17746 (physics) [Submitted on 22 Mar 2025 ( v1 ), last revised 12 Apr 2025 (this version, v2)] Title: Practical Vectorial Mode Solver for Dielectric Waveguides Based on Finite Differences Authors: Ergun Simsek View a PDF of the paper titled Practical Vectorial Mode Solver for Dielectric Waveguides Based on Finite Differences, by Ergun Simsek View PDF HTML (experimental) Abstract: This study presents a finite-difference-based numerical solver designed for the electric field formulation of vector wave equations in optically linear, non-magnetic, dielectric waveguides. We construct a generalized eigenvalue problem by incorporating all three components of the electric field into a self-consistent formulation. This ensures accurate enforcement of boundary conditions and reduces numerical artifacts, particularly at permittivity discontinuities. We validate the solver's performance through two representative waveguide structures, demonstrating its accuracy in computing both propagation constants and mode profiles. Comments: 10 pages, 5 figures Subjects: Optics (physics.optics) Cite as: arXiv:2503.17746 [physics.optics] (or arXiv:2503.17746v2 [physics.optics] for this version) https://doi.org/10.48550/arXiv.2503.17746 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Optics Letters, 50 (2025) 4102-4105 Related DOI : https://doi.org/10.1364/OL.550820 Focus to learn more DOI(s) linking to related resources Submission history From: Ergun Simsek [ view email ] [v1] Sat, 22 Mar 2025 12:06:43 UTC (644 KB) [v2] Sat, 12 Apr 2025 02:15:38 UTC (1,083 KB) Full-text links: Access Paper: View a PDF of the paper titled Practical Vectorial Mode Solver for Dielectric Waveguides Based on Finite Differences, by Ergun Simsek View PDF HTML (experimental) TeX Source view license Current browse context: physics.optics < prev | next > new | recent | 2025-03 Change to browse by: physics References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from

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