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      Improved S-bend optical waveguide loss formula verified by experiments

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      Scientific Reports
      Nature Publishing Group UK
      Engineering, Materials science, Mathematics and computing, Optics and photonics, Physics

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          Abstract

          Curvature of a dielectric waveguide always leads to attenuation of the mode power as it propagates through the curved region. In single mode guides, bending loss becomes significant as the radius of curvature reduces and is strongly dependent on the confinement of the guided mode, so that weakly guiding waveguides can tolerate only large radii of curvature. In this paper we verify our new theoretical version on power loss prediction of S-bend optical waveguides by using analytical theory based on integration of absorption coefficient and compare it to the experimental measurement of such waveguide bends. The objectives are to formulate the best analytical theory available that can predict the power loss in S-bends whose shape is defined as a function y =  f(x), where its first derivative is continuous. Using this technique, the effect of post-process thermal annealing of channel guide devices fabricated by electron beam irradiation of silica PECVD materials is investigated. A particular performance characteristic is examined, which have its origin in the index reduction caused by annealing, increases in waveguide bend losses. Furthermore, to determine the waveguide shape, we used Marcatili’s effective index method, employing model-dependent parameters obtained from the experimental data.

          Supplementary Information

          The online version contains supplementary material available at 10.1038/s41598-024-84274-7.

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          Dielectric Rectangular Waveguide and Directional Coupler for Integrated Optics

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            Bends in Optical Dielectric Guides

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              Low-loss Ti:LiNbO<inf>3</inf>waveguide bends at λ = 1.3 µm

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                Author and article information

                Contributors
                ary@uai.ac.id
                Journal
                Sci Rep
                Sci Rep
                Scientific Reports
                Nature Publishing Group UK (London )
                2045-2322
                8 January 2025
                8 January 2025
                2025
                : 15
                : 1338
                Affiliations
                Department of Electrical Engineering, Faculty of Science and Technology, University Al Azhar Indonesia, Jakarta, Indonesia
                Article
                84274
                10.1038/s41598-024-84274-7
                11711309
                39779766
                07c9d7bb-9cea-4808-832f-721e6e9ec78e
                © The Author(s) 2025

                Open Access This article is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License, which permits any non-commercial use, sharing, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if you modified the licensed material. You do not have permission under this licence to share adapted material derived from this article or parts of it. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by-nc-nd/4.0/.

                History
                : 23 March 2024
                : 23 December 2024
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                © Springer Nature Limited 2025

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                engineering,materials science,mathematics and computing,optics and photonics,physics
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                engineering, materials science, mathematics and computing, optics and photonics, physics

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